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<a href="linear__programming__constraint_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="linear__programming__constraint_8h.html">ortools/sat/linear_programming_constraint.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;cmath&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;iterator&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;limits&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &quot;absl/numeric/int128.h&quot;</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &quot;<a class="code" href="commandlineflags_8h.html">ortools/base/commandlineflags.h</a>&quot;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &quot;<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>&quot;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</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="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &quot;<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>&quot;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &quot;<a class="code" href="mathutil_8h.html">ortools/base/mathutil.h</a>&quot;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &quot;<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>&quot;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include &quot;<a class="code" href="parameters_8pb_8h.html">ortools/glop/parameters.pb.h</a>&quot;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include &quot;<a class="code" href="preprocessor_8h.html">ortools/glop/preprocessor.h</a>&quot;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include &quot;<a class="code" href="status_8h.html">ortools/glop/status.h</a>&quot;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include &quot;<a class="code" href="strongly__connected__components_8h.html">ortools/graph/strongly_connected_components.h</a>&quot;</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</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="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include &quot;<a class="code" href="implied__bounds_8h.html">ortools/sat/implied_bounds.h</a>&quot;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</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="l00041" name="l00041"></a><span class="lineno"> 41</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="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include &quot;<a class="code" href="saturated__arithmetic_8h.html">ortools/util/saturated_arithmetic.h</a>&quot;</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="keyword">using</span> glop::ColIndex;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="keyword">using</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">glop::Fractional</a>;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="keyword">using</span> glop::RowIndex;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#ab2fc4510692e040b62507dce522e0e31"> 51</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#ab2fc4510692e040b62507dce522e0e31">ScatteredIntegerVector::ClearAndResize</a>(<span class="keywordtype">int</span> size) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">if</span> (is_sparse_) {</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_) {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = IntegerValue(0);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> dense_vector_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(size, IntegerValue(0));</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> dense_vector_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">assign</a>(size, IntegerValue(0));</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"> 60</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_) {</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> is_zeros_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> is_zeros_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(size, <span class="keyword">true</span>);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> non_zeros_.clear();</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> is_sparse_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>}</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"><a class="line" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a4940f758f3c0e757a4bcb5bbf795ce67"> 68</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a4940f758f3c0e757a4bcb5bbf795ce67">ScatteredIntegerVector::Add</a>(glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">const</span> int64_t add = <a class="code hl_function" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>.value(), dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].value());</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">if</span> (add == <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits&lt;int64_t&gt;::min</a>() ||</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> add == <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>())</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = IntegerValue(add);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">if</span> (is_sparse_ &amp;&amp; is_zeros_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> is_zeros_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> non_zeros_.push_back(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a65d000f780742581ff592c56c0a6e261"> 81</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a65d000f780742581ff592c56c0a6e261">ScatteredIntegerVector::AddLinearExpressionMultiple</a>(</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> IntegerValue multiplier,</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</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="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">const</span> <span class="keywordtype">double</span> threshold = 0.1 * <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(dense_vector_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>());</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> (is_sparse_ &amp;&amp; <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(terms.size()) &lt; threshold) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;glop::ColIndex, IntegerValue&gt; term : terms) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">if</span> (is_zeros_[term.first]) {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> is_zeros_[term.first] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> non_zeros_.push_back(term.first);</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> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(multiplier, term.second, &amp;dense_vector_[term.first])) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</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> <span class="keywordflow">if</span> (<span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(non_zeros_.size()) &gt; threshold) {</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> is_sparse_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> }</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> is_sparse_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;glop::ColIndex, IntegerValue&gt; term : terms) {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(multiplier, term.second, &amp;dense_vector_[term.first])) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> }</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span>}</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9"> 109</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9">ScatteredIntegerVector::ConvertToLinearConstraint</a>(</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; integer_variables,</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>* result) {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.clear();</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.clear();</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (is_sparse_) {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> std::sort(non_zeros_.begin(), non_zeros_.end());</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_) {</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(integer_variables[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>.value()]);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</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"> 122</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = dense_vector_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>();</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">for</span> (glop::ColIndex <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; size; ++<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(integer_variables[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>.value()]);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> }</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> result-&gt;<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> = <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>}</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>std::vector&lt;std::pair&lt;glop::ColIndex, IntegerValue&gt;&gt;</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#abd20bd618d3e097f3b59958764460578"> 136</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#abd20bd618d3e097f3b59958764460578">ScatteredIntegerVector::GetTerms</a>() {</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> std::vector&lt;std::pair&lt;glop::ColIndex, IntegerValue&gt;&gt; result;</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordflow">if</span> (is_sparse_) {</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> std::sort(non_zeros_.begin(), non_zeros_.end());</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_) {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> != 0) result.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>({<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>});</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> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = dense_vector_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>();</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">for</span> (glop::ColIndex <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; size; ++<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = dense_vector_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> != 0) result.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>({<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>});</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> }</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span>}</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment">// TODO(user): make SatParameters singleton too, otherwise changing them after</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="comment">// a constraint was added will have no effect on this class.</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a8172ae7d172bec9d3a417ddcaab7c474"> 156</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a8172ae7d172bec9d3a417ddcaab7c474">LinearProgrammingConstraint::LinearProgrammingConstraint</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> : constraint_manager_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>),</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> parameters_(*(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_parameters.html">SatParameters</a>&gt;())),</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> model_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>),</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> time_limit_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>&gt;()),</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> integer_trail_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()),</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> trail_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&gt;()),</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> integer_encoder_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;()),</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> random_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model_random_generator.html">ModelRandomGenerator</a>&gt;()),</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> implied_bounds_processor_({}, integer_trail_,</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_implied_bounds.html">ImpliedBounds</a>&gt;()),</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> dispatcher_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_programming_dispatcher.html">LinearProgrammingDispatcher</a>&gt;()),</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> expanded_lp_solution_(</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> *<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_programming_constraint_lp_solution.html">LinearProgrammingConstraintLpSolution</a>&gt;()) {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// Tweak the default parameters to make the solve incremental.</span></div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_glop_parameters.html">glop::GlopParameters</a> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>;</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_use_dual_simplex(<span class="keyword">true</span>);</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> simplex_.SetParameters(<a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>);</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">if</span> (parameters_.use_branching_in_lp() ||</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> parameters_.search_branching() == <a class="code hl_variable" href="classoperations__research_1_1sat_1_1_sat_parameters.html#aa1f93c70c349b5f740fefe5317b7f9fc">SatParameters::LP_SEARCH</a>) {</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> compute_reduced_cost_averages_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> }</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// Register our local rev int repository.</span></div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> integer_trail_-&gt;RegisterReversibleClass(&amp;rc_rev_int_repository_);</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span>}</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aaac2d8dee4d7fc8d5e9a1b1cfc3021bc"> 183</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aaac2d8dee4d7fc8d5e9a1b1cfc3021bc">LinearProgrammingConstraint::AddLinearConstraint</a>(</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!lp_constraint_is_registered_);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a40e3f0f21a2c16b673c84f734ba6d095">Add</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// We still create the mirror variable right away though.</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">//</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// TODO(user): clean this up? Note that it is important that the variable</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// in lp_data_ never changes though, so we can restart from the current</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// lp solution and be incremental (even if the constraints changed).</span></div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars) {</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> GetOrCreateMirrorVariable(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> }</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span>}</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span>glop::ColIndex LinearProgrammingConstraint::GetOrCreateMirrorVariable(</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> IntegerVariable positive_variable) {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(positive_variable));</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keyword">const</span> <span class="keyword">auto</span> it = mirror_lp_variable_.find(positive_variable);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keywordflow">if</span> (it == mirror_lp_variable_.end()) {</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(integer_variables_.size());</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> implied_bounds_processor_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#a07e1de12d9a4b00c96911544e72b86d4">AddLpVariable</a>(positive_variable);</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> mirror_lp_variable_[positive_variable] = <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> integer_variables_.push_back(positive_variable);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> lp_solution_.push_back(std::numeric_limits&lt;double&gt;::infinity());</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> lp_reduced_cost_.push_back(0.0);</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> (*dispatcher_)[positive_variable] = <span class="keyword">this</span>;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(positive_variable.value(),</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(positive_variable).<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>());</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &gt;= expanded_lp_solution_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) {</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> expanded_lp_solution_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> + 1, 0.0);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">return</span> it-&gt;second;</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span>}</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#ae384be06329c4c8f8fd62af7335dae2e"> 221</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#ae384be06329c4c8f8fd62af7335dae2e">LinearProgrammingConstraint::SetObjectiveCoefficient</a>(IntegerVariable ivar,</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) {</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!lp_constraint_is_registered_);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> objective_is_defined_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> IntegerVariable pos_var = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(ivar) ? ivar : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(ivar);</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">if</span> (ivar != pos_var) <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = -<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>;</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> constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a36295bfe464bcdb6465fe796a43d02bf">SetObjectiveCoefficient</a>(pos_var, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = GetOrCreateMirrorVariable(pos_var);</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> integer_objective_.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>});</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> objective_infinity_norm_ =</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(objective_infinity_norm_, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>));</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span>}</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> </div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="comment">// TODO(user): As the search progress, some variables might get fixed. Exploit</span></div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span><span class="comment">// this to reduce the number of variables in the LP and in the</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span><span class="comment">// ConstraintManager? We might also detect during the search that two variable</span></div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span><span class="comment">// are equivalent.</span></div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span><span class="comment">//</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span><span class="comment">// TODO(user): On TSP/VRP with a lot of cuts, this can take 20% of the overall</span></div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span><span class="comment">// running time. We should be able to almost remove most of this from the</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span><span class="comment">// profile by being more incremental (modulo LP scaling).</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span><span class="comment">//</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span><span class="comment">// TODO(user): A longer term idea for LP with a lot of variables is to not</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span><span class="comment">// add all variables to each LP solve and do some &quot;sifting&quot;. That can be useful</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span><span class="comment">// for TSP for instance where the number of edges is large, but only a small</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span><span class="comment">// fraction will be used in the optimal solution.</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::CreateLpFromConstraintManager() {</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="comment">// Fill integer_lp_.</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> integer_lp_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> infinity_norms_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; all_constraints = constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#abcc3b906de437713aa22e4f4fda9f337">AllConstraints</a>();</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> : constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a67d4aee57d03ae5f47f7df3d6de12247">LpConstraints</a>()) {</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = all_constraints[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>].constraint;</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> integer_lp_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(LinearConstraintInternal());</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> LinearConstraintInternal&amp; new_ct = integer_lp_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#af71e6c1eccbc12e9339c00a86a981a43">back</a>();</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> new_ct.lb = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lb;</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> new_ct.ub = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.ub;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars.size();</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> IntegerValue infinity_norm(0);</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lb &gt; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.ub) {</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Trivial infeasible bound in an LP constraint&quot;</span>;</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> }</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lb &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> infinity_norm = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(infinity_norm, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lb));</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> }</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.ub &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> infinity_norm = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(infinity_norm, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.ub));</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> }</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="comment">// We only use positive variable inside this class.</span></div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.vars[i];</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.coeffs[i];</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = -<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>;</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> }</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> infinity_norm = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(infinity_norm, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>));</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> new_ct.terms.push_back({GetOrCreateMirrorVariable(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>), <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>});</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> infinity_norms_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(infinity_norm);</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="comment">// Important to keep lp_data_ &quot;clean&quot;.</span></div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> std::sort(new_ct.terms.begin(), new_ct.terms.end());</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> }</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> </div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="comment">// Copy the integer_lp_ into lp_data_.</span></div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; integer_variables_.size(); ++i) {</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(glop::ColIndex(i), lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a695ac3d8db5a986f572711f2ef3a6a39">CreateNewVariable</a>());</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> }</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="comment">// We remove fixed variables from the objective. This should help the LP</span></div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="comment">// scaling, but also our integer reason computation.</span></div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> objective_infinity_norm_ = 0;</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : integer_objective_) {</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[entry.first.value()];</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">IsFixedAtLevelZero</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> integer_objective_offset_ +=</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> entry.second * integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> }</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> objective_infinity_norm_ =</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(objective_infinity_norm_, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(entry.second));</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> integer_objective_[new_size++] = entry;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ab5af7f232cddcd91f70be84c0d398ba9">SetObjectiveCoefficient</a>(entry.first, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(entry.second));</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> }</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> objective_infinity_norm_ =</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(objective_infinity_norm_, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(integer_objective_offset_));</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> integer_objective_.resize(new_size);</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2a29cc40908e09b0c565ceea15b77d89">SetObjectiveOffset</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_objective_offset_));</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> LinearConstraintInternal&amp; <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> : integer_lp_) {</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="keyword">const</span> <a class="code hl_typedef" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a67a7327915e66c0514cfa465a0475be1">ConstraintIndex</a> <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ad9d564651057c77b3f2ca1293134557f">CreateNewConstraint</a>();</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a62b98dec38b6506442f9fc63f1a9b88f">SetConstraintBounds</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.lb), <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.ub));</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; term : <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>.terms) {</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2d695f450ae446d5d9c225b991f8d88e">SetCoefficient</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, term.first, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(term.second));</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> }</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> }</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aab451f1144133e621abdcd566c048a8d">NotifyThatColumnsAreClean</a>();</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="comment">// We scale the LP using the level zero bounds that we later override</span></div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="comment">// with the current ones.</span></div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="comment">//</span></div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="comment">// TODO(user): As part of the scaling, we may also want to shift the initial</span></div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="comment">// variable bounds so that each variable contain the value zero in their</span></div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="comment">// domain. Maybe just once and for all at the beginning.</span></div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keyword">const</span> IntegerVariable cp_var = integer_variables_[i];</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(cp_var));</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(cp_var));</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">SetVariableBounds</a>(glop::ColIndex(i), lb, ub);</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> }</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="comment">// TODO(user): As we have an idea of the LP optimal after the first solves,</span></div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="comment">// maybe we can adapt the scaling accordingly.</span></div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> glop::GlopParameters params;</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> params.set_cost_scaling(<a class="code hl_variable" href="classoperations__research_1_1glop_1_1_glop_parameters.html#a4c56f991209414085b6650c22418c695">glop::GlopParameters::MEAN_COST_SCALING</a>);</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">Scale</a>(params, &amp;lp_data_);</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> UpdateBoundsOfLpVariables();</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> </div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="comment">// Set the information for the step to polish the LP basis. All our variables</span></div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="comment">// are integer, but for now, we just try to minimize the fractionality of the</span></div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="comment">// binary variables.</span></div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a2aa19be6ac4d8115034a3747b315c298">polish_lp_solution</a>()) {</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa4dc78f942e63df8b0bf3b95c7af7068">ClearIntegralityScales</a>();</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> <span class="keyword">const</span> IntegerVariable cp_var = integer_variables_[i];</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(cp_var);</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(cp_var);</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="keywordflow">if</span> (lb != 0 || ub != 1) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a2638e7353203c8cb214228147a5e504a">SetIntegralityScale</a>(</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> glop::ColIndex(i),</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> 1.0 / scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">VariableScalingFactor</a>(glop::ColIndex(i)));</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> }</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> }</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aab451f1144133e621abdcd566c048a8d">NotifyThatColumnsAreClean</a>();</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;LP relaxation: &quot;</span> &lt;&lt; lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#adcc58612f6a1dc35ff3ffdb34188f299">GetDimensionString</a>() &lt;&lt; <span class="stringliteral">&quot;. &quot;</span></div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> &lt;&lt; constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#abcc3b906de437713aa22e4f4fda9f337">AllConstraints</a>().size()</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> &lt;&lt; <span class="stringliteral">&quot; Managed constraints.&quot;</span>;</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span>}</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span>LPSolveInfo LinearProgrammingConstraint::SolveLpForBranching() {</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> LPSolveInfo info;</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> glop::BasisState basis_state = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#adfbae19f81ecf38f67643dc8b7dcec25">GetState</a>();</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> </div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="keyword">const</span> glop::Status <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a866a68af5afd0355fb348f7a59eeff9e">Solve</a>(lp_data_, time_limit_);</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> total_num_simplex_iterations_ += simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ad8a718ceea92060a7f7118e2bccf4fbc">GetNumberOfIterations</a>();</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac4d90743acfe39707571f84f096a58d7">LoadStateForNextSolve</a>(basis_state);</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>.ok()) {</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;The LP solver encountered an error: &quot;</span> &lt;&lt; <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>.error_message();</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> info.status = <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a88ec4386a3c49b50819358a579fb9adb">glop::ProblemStatus::ABNORMAL</a>;</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="keywordflow">return</span> info;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> }</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> info.status = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>();</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="keywordflow">if</span> (info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a> ||</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa">glop::ProblemStatus::DUAL_FEASIBLE</a>) {</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="comment">// Record the objective bound.</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> info.lp_objective = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> info.new_obj_bound = IntegerValue(</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(std::ceil(info.lp_objective - kCpEpsilon)));</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> }</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">return</span> info;</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span>}</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span><span class="keywordtype">void</span> LinearProgrammingConstraint::FillReducedCostReasonIn(</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">glop::DenseRow</a>&amp; reduced_costs,</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> std::vector&lt;IntegerLiteral&gt;* integer_reason) {</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> integer_reason-&gt;clear();</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rc = reduced_costs[glop::ColIndex(i)];</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="keywordflow">if</span> (rc &gt; kLpEpsilon) {</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> integer_reason-&gt;push_back(</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(integer_variables_[i]));</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (rc &lt; -kLpEpsilon) {</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> integer_reason-&gt;push_back(</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(integer_variables_[i]));</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> }</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> }</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> </div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#adfce09ac65fc660f8a4f019f4072c6a7">RemoveLevelZeroBounds</a>(integer_reason);</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span>}</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> </div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::BranchOnVar(IntegerVariable positive_var) {</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="comment">// From the current LP solution, branch on the given var if fractional.</span></div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(lp_solution_is_set_);</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="keyword">const</span> <span class="keywordtype">double</span> current_value = <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">GetSolutionValue</a>(positive_var);</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <a class="code hl_define" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(std::abs(current_value - std::round(current_value)), kCpEpsilon);</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> </div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="comment">// Used as empty reason in this method.</span></div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> integer_reason_.clear();</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> </div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> <span class="keywordtype">bool</span> deductions_were_made = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> </div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> UpdateBoundsOfLpVariables();</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="keyword">const</span> IntegerValue current_obj_lb = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(objective_cp_);</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="comment">// This will try to branch in both direction around the LP value of the</span></div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="comment">// given variable and push any deduction done this way.</span></div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keyword">const</span> glop::ColIndex lp_var = GetOrCreateMirrorVariable(positive_var);</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> <span class="keyword">const</span> <span class="keywordtype">double</span> current_lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(positive_var));</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <span class="keyword">const</span> <span class="keywordtype">double</span> current_ub = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(positive_var));</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> <span class="keyword">const</span> <span class="keywordtype">double</span> factor = scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">VariableScalingFactor</a>(lp_var);</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> <span class="keywordflow">if</span> (current_value &lt; current_lb || current_value &gt; current_ub) {</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> }</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> </div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> <span class="comment">// Form LP1 var &lt;= floor(current_value)</span></div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <span class="keyword">const</span> <span class="keywordtype">double</span> new_ub = std::floor(current_value);</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">SetVariableBounds</a>(lp_var, current_lb * factor, new_ub * factor);</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> LPSolveInfo lower_branch_info = SolveLpForBranching();</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordflow">if</span> (lower_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a> &amp;&amp;</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> lower_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa">glop::ProblemStatus::DUAL_FEASIBLE</a> &amp;&amp;</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> lower_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> }</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> </div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="keywordflow">if</span> (lower_branch_info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> <span class="comment">// Push the other branch.</span></div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> <span class="keyword">const</span> IntegerLiteral deduction = <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> positive_var, IntegerValue(std::ceil(current_value)));</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(deduction, {}, integer_reason_)) {</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> }</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> deductions_were_made = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (lower_branch_info.new_obj_bound &lt;= current_obj_lb) {</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> }</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> </div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> <span class="comment">// Form LP2 var &gt;= ceil(current_value)</span></div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> <span class="keyword">const</span> <span class="keywordtype">double</span> new_lb = std::ceil(current_value);</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">SetVariableBounds</a>(lp_var, new_lb * factor, current_ub * factor);</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> </div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> LPSolveInfo upper_branch_info = SolveLpForBranching();</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> <span class="keywordflow">if</span> (upper_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a> &amp;&amp;</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> upper_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa">glop::ProblemStatus::DUAL_FEASIBLE</a> &amp;&amp;</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> upper_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> <span class="keywordflow">return</span> deductions_were_made;</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> }</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> </div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> <span class="keywordflow">if</span> (upper_branch_info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <span class="comment">// Push the other branch if not infeasible.</span></div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> <span class="keywordflow">if</span> (lower_branch_info.status != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> <span class="keyword">const</span> IntegerLiteral deduction = <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> positive_var, IntegerValue(std::floor(current_value)));</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(deduction, {}, integer_reason_)) {</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> <span class="keywordflow">return</span> deductions_were_made;</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> }</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> deductions_were_made = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> }</div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (upper_branch_info.new_obj_bound &lt;= current_obj_lb) {</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> <span class="keywordflow">return</span> deductions_were_made;</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> }</div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> </div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> IntegerValue approximate_obj_lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> </div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="keywordflow">if</span> (lower_branch_info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a> &amp;&amp;</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> upper_branch_info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="keywordflow">return</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>(integer_reason_);</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (lower_branch_info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> approximate_obj_lb = upper_branch_info.new_obj_bound;</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (upper_branch_info.status == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> approximate_obj_lb = lower_branch_info.new_obj_bound;</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> approximate_obj_lb = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(lower_branch_info.new_obj_bound,</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> upper_branch_info.new_obj_bound);</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> }</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> </div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> <span class="comment">// NOTE: On some problems, the approximate_obj_lb could be inexact which add</span></div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> <span class="comment">// some tolerance to CP-SAT where currently there is none.</span></div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> <span class="keywordflow">if</span> (approximate_obj_lb &lt;= current_obj_lb) <span class="keywordflow">return</span> deductions_were_made;</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> </div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> <span class="comment">// Push the bound to the trail.</span></div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> <span class="keyword">const</span> IntegerLiteral deduction =</div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(objective_cp_, approximate_obj_lb);</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(deduction, {}, integer_reason_)) {</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> <span class="keywordflow">return</span> deductions_were_made;</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> }</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> </div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span>}</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> </div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a51cf34a6b42aa05c92f9b0b971b03dc9"> 512</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a51cf34a6b42aa05c92f9b0b971b03dc9">LinearProgrammingConstraint::RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!lp_constraint_is_registered_);</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> lp_constraint_is_registered_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_programming_constraint_collection.html">LinearProgrammingConstraintCollection</a>&gt;()-&gt;push_back(<span class="keyword">this</span>);</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> </div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <span class="comment">// Note fdid, this is not really needed by should lead to better cache</span></div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> <span class="comment">// locality.</span></div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> std::sort(integer_objective_.begin(), integer_objective_.end());</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> </div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> <span class="comment">// Set the LP to its initial content.</span></div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> <span class="keywordflow">if</span> (!parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#ab3225e1743a8e4f188625bea985b3e4b">add_lp_constraints_lazily</a>()) {</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a87cc96a3e72099107712a0386d89d851">AddAllConstraintsToLp</a>();</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> }</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <span class="keywordflow">if</span> (!CreateLpFromConstraintManager()) {</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;NotifyThatModelIsUnsat();</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> }</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> </div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;();</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="keyword">const</span> <span class="keywordtype">int</span> watcher_id = watcher-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> watcher-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(integer_variables_[i], watcher_id, i);</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> }</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <span class="keywordflow">if</span> (objective_is_defined_) {</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> watcher-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(objective_cp_, watcher_id);</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> }</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> watcher-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adc5598223a363c10d95c00395145bcc6">SetPropagatorPriority</a>(watcher_id, 2);</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> watcher-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2f8078e3c74ab15964ea42801732313a">AlwaysCallAtLevelZero</a>(watcher_id);</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> </div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> <span class="comment">// Registering it with the trail make sure this class is always in sync when</span></div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> <span class="comment">// it is used in the decision heuristics.</span></div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae517412fa6f592ccb7c8e0f1569ba983">RegisterReversibleClass</a>(<span class="keyword">this</span>);</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> watcher-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8963fd33e7bd70e749b2a37060ef1274">RegisterReversibleInt</a>(watcher_id, &amp;rev_optimal_constraints_size_);</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span>}</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> </div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#abd4d63996bf53e4b9251cc9fac30040d"> 548</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#abd4d63996bf53e4b9251cc9fac30040d">LinearProgrammingConstraint::SetLevel</a>(<span class="keywordtype">int</span> level) {</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> optimal_constraints_.resize(rev_optimal_constraints_size_);</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <span class="keywordflow">if</span> (lp_solution_is_set_ &amp;&amp; level &lt; lp_solution_level_) {</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> lp_solution_is_set_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> }</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> </div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> <span class="comment">// Special case for level zero, we &quot;reload&quot; any previously known optimal</span></div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> <span class="comment">// solution from that level.</span></div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> <span class="comment">//</span></div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> <span class="comment">// TODO(user): Keep all optimal solution in the current branch?</span></div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> <span class="comment">// TODO(user): Still try to add cuts/constraints though!</span></div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> <span class="keywordflow">if</span> (level == 0 &amp;&amp; !level_zero_lp_solution_.empty()) {</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> lp_solution_is_set_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> lp_solution_ = level_zero_lp_solution_;</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> lp_solution_level_ = 0;</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; lp_solution_.size(); i++) {</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> expanded_lp_solution_[integer_variables_[i]] = lp_solution_[i];</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> expanded_lp_solution_[<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(integer_variables_[i])] =</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> -lp_solution_[i];</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> }</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> }</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span>}</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> </div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aefa083730af18963c9bfd9915b5cd187"> 571</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aefa083730af18963c9bfd9915b5cd187">LinearProgrammingConstraint::AddCutGenerator</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_cut_generator.html">CutGenerator</a> generator) {</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : generator.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_cut_generator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>) {</div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> GetOrCreateMirrorVariable(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) ? <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> }</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> cut_generators_.push_back(std::move(generator));</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span>}</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> </div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aadd64e5df937ad4d29342ef997d6b9fc"> 578</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aadd64e5df937ad4d29342ef997d6b9fc">LinearProgrammingConstraint::IncrementalPropagate</a>(</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; watch_indices) {</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <span class="keywordflow">if</span> (!lp_solution_is_set_) <span class="keywordflow">return</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a0010273383670a7c67b3b8f2660aa06b">Propagate</a>();</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> </div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="comment">// At level zero, if there is still a chance to add cuts or lazy constraints,</span></div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> <span class="comment">// we re-run the LP.</span></div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="keywordflow">if</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0 &amp;&amp; !lp_at_level_zero_is_final_) {</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a0010273383670a7c67b3b8f2660aa06b">Propagate</a>();</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> }</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> </div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> <span class="comment">// Check whether the change breaks the current LP solution. If it does, call</span></div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> <span class="comment">// Propagate() on the current LP.</span></div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> : watch_indices) {</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb =</div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(integer_variables_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]));</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub =</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(integer_variables_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]));</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = lp_solution_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>];</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> <span class="keywordflow">if</span> (value &lt; lb - kCpEpsilon || value &gt; ub + kCpEpsilon) <span class="keywordflow">return</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a0010273383670a7c67b3b8f2660aa06b">Propagate</a>();</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> }</div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> </div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> <span class="comment">// TODO(user): The saved lp solution is still valid given the current variable</span></div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> <span class="comment">// bounds, so the LP optimal didn&#39;t change. However we might still want to add</span></div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="comment">// new cuts or new lazy constraints?</span></div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> <span class="comment">//</span></div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> <span class="comment">// TODO(user): Propagate the last optimal_constraint? Note that we need</span></div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="comment">// to be careful since the reversible int in IntegerSumLE are not registered.</span></div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="comment">// However, because we delete &quot;optimalconstraints&quot; on backtrack, we might not</span></div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> <span class="comment">// care.</span></div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span>}</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> </div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span><a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">glop::Fractional</a> LinearProgrammingConstraint::GetVariableValueAtCpScale(</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> glop::ColIndex <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> <span class="keywordflow">return</span> scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a60d41c66b603be0ec7517d437e5c63ec">UnscaleVariableValue</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a201108c6e8d9fb5104697bdd0a8bd085">GetVariableValue</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span>}</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> </div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744"> 615</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">LinearProgrammingConstraint::GetSolutionValue</a>(</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> IntegerVariable variable)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> <span class="keywordflow">return</span> lp_solution_[<a class="code hl_function" href="namespacegtl.html#a73f41ac11336b94768fdd41594153d59">gtl::FindOrDie</a>(mirror_lp_variable_, variable).value()];</div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span>}</div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> </div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aeb58dc2ca6b2d8f627b837fcfaa4955a"> 620</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aeb58dc2ca6b2d8f627b837fcfaa4955a">LinearProgrammingConstraint::GetSolutionReducedCost</a>(</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> IntegerVariable variable)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> <span class="keywordflow">return</span> lp_reduced_cost_[<a class="code hl_function" href="namespacegtl.html#a73f41ac11336b94768fdd41594153d59">gtl::FindOrDie</a>(mirror_lp_variable_, variable)</div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> .value()];</div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span>}</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> </div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span><span class="keywordtype">void</span> LinearProgrammingConstraint::UpdateBoundsOfLpVariables() {</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> <span class="keyword">const</span> IntegerVariable cp_var = integer_variables_[i];</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(cp_var));</div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(cp_var));</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> <span class="keyword">const</span> <span class="keywordtype">double</span> factor = scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">VariableScalingFactor</a>(glop::ColIndex(i));</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">SetVariableBounds</a>(glop::ColIndex(i), lb * factor, ub * factor);</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> }</div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span>}</div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> </div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::SolveLp() {</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> <span class="keywordflow">if</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0) {</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> lp_at_level_zero_is_final_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> }</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> </div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a866a68af5afd0355fb348f7a59eeff9e">Solve</a>(lp_data_, time_limit_);</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> total_num_simplex_iterations_ += simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ad8a718ceea92060a7f7118e2bccf4fbc">GetNumberOfIterations</a>();</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>.ok()) {</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;The LP solver encountered an error: &quot;</span> &lt;&lt; <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>.error_message();</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ace96e115f468d752a2fcfeea901b0f8a">ClearStateForNextSolve</a>();</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> }</div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> average_degeneracy_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_incremental_average.html#a198870bbc0f9b8d197a4c80f766ddf49">AddData</a>(CalculateDegeneracy());</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> <span class="keywordflow">if</span> (average_degeneracy_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_incremental_average.html#a6d9b473fa04b0558a8e48737f5ab9564">CurrentAverage</a>() &gt;= 1000.0) {</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;High average degeneracy: &quot;</span></div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> &lt;&lt; average_degeneracy_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_incremental_average.html#a6d9b473fa04b0558a8e48737f5ab9564">CurrentAverage</a>();</div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> }</div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> </div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> <span class="keyword">const</span> <span class="keywordtype">int</span> status_as_int = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>());</div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> <span class="keywordflow">if</span> (status_as_int &gt;= num_solves_by_status_.size()) {</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> num_solves_by_status_.resize(status_as_int + 1);</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> }</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> num_solves_++;</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> num_solves_by_status_[status_as_int]++;</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;lvl:&quot;</span> &lt;&lt; trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() &lt;&lt; <span class="stringliteral">&quot; &quot;</span></div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> &lt;&lt; simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>()</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> &lt;&lt; <span class="stringliteral">&quot; iter:&quot;</span> &lt;&lt; simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ad8a718ceea92060a7f7118e2bccf4fbc">GetNumberOfIterations</a>()</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> &lt;&lt; <span class="stringliteral">&quot; obj:&quot;</span> &lt;&lt; simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> </div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a>) {</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> lp_solution_is_set_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> lp_solution_level_ = trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>();</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">glop::Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> =</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> GetVariableValueAtCpScale(glop::ColIndex(i));</div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> lp_solution_[i] = <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> expanded_lp_solution_[integer_variables_[i]] = <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> expanded_lp_solution_[<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(integer_variables_[i])] = -<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> }</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> </div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> <span class="keywordflow">if</span> (lp_solution_level_ == 0) {</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> level_zero_lp_solution_ = lp_solution_;</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> }</div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> }</div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span>}</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> </div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::AddCutFromConstraints(</div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> <span class="keyword">const</span> std::string&amp; <a class="code hl_variable" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>,</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> <span class="keyword">const</span> std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt;&amp; integer_multipliers) {</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> <span class="comment">// This is initialized to a valid linear constraint (by taking linear</span></div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="comment">// combination of the LP rows) and will be transformed into a cut if</span></div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="comment">// possible.</span></div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> <span class="comment">//</span></div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> <span class="comment">// TODO(user): For CG cuts, Ideally this linear combination should have only</span></div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> <span class="comment">// one fractional variable (basis_col). But because of imprecision, we get a</span></div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> <span class="comment">// bunch of fractional entry with small coefficient (relative to the one of</span></div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> <span class="comment">// basis_col). We try to handle that in IntegerRoundingCut(), but it might be</span></div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> <span class="comment">// better to add small multiple of the involved rows to get rid of them.</span></div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> IntegerValue cut_ub;</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> <span class="keywordflow">if</span> (!ComputeNewLinearConstraint(integer_multipliers, &amp;tmp_scattered_vector_,</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> &amp;cut_ub)) {</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Issue, overflow!&quot;</span>;</div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> }</div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> </div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span> <span class="comment">// Important: because we use integer_multipliers below, we cannot just</span></div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> <span class="comment">// divide by GCD or call PreventOverflow() here.</span></div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"> 706</span> <span class="comment">//</span></div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <span class="comment">// TODO(user): the conversion col_index -&gt; IntegerVariable is slow and could</span></div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> <span class="comment">// in principle be removed. Easy for cuts, but not so much for</span></div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> <span class="comment">// implied_bounds_processor_. Note that in theory this could allow us to</span></div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> <span class="comment">// use Literal directly without the need to have an IntegerVariable for them.</span></div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9">ConvertToLinearConstraint</a>(integer_variables_, cut_ub,</div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> &amp;cut_);</div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> </div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> <span class="comment">// Note that the base constraint we use are currently always tight.</span></div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> <span class="comment">// It is not a requirement though.</span></div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="macros_8h.html#a7f536a3b33f9bed8f75734e035d30725">DEBUG_MODE</a>) {</div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> <span class="keyword">const</span> <span class="keywordtype">double</span> norm = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">ComputeInfinityNorm</a>(cut_));</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> <span class="keyword">const</span> <span class="keywordtype">double</span> activity = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2">ComputeActivity</a>(cut_, expanded_lp_solution_);</div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> <span class="keywordflow">if</span> (std::abs(activity - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(cut_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>)) / norm &gt; 1e-4) {</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Cut not tight &quot;</span> &lt;&lt; activity &lt;&lt; <span class="stringliteral">&quot; &lt;= &quot;</span> &lt;&lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(cut_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>);</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> }</div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> }</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a1afbe8d162a9cba17a520812ec6d3dd4">DebugCheckConstraint</a>(cut_));</div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> </div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="comment">// We will create &quot;artificial&quot; variables after this index that will be</span></div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> <span class="comment">// substitued back into LP variables afterwards. Also not that we only use</span></div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> <span class="comment">// positive variable indices for these new variables, so that algorithm that</span></div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> <span class="comment">// take their negation will not mess up the indexing.</span></div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> <span class="keyword">const</span> IntegerVariable first_new_var(expanded_lp_solution_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>());</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(first_new_var.value() % 2, 0);</div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> </div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> LinearConstraint copy_in_debug;</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="macros_8h.html#a7f536a3b33f9bed8f75734e035d30725">DEBUG_MODE</a>) {</div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> copy_in_debug = cut_;</div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> }</div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> </div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> <span class="comment">// Unlike for the knapsack cuts, it might not be always beneficial to</span></div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> <span class="comment">// process the implied bounds even though it seems to be better in average.</span></div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> <span class="comment">//</span></div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> <span class="comment">// TODO(user): Perform more experiments, in particular with which bound we use</span></div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> <span class="comment">// and if we complement or not before the MIR rounding. Other solvers seems</span></div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> <span class="comment">// to try different complementation strategies in a &quot;potprocessing&quot; and we</span></div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <span class="comment">// don&#39;t. Try this too.</span></div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> tmp_ib_slack_infos_.clear();</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> implied_bounds_processor_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#a135d2e8757ef674942be0b1d6f46f75b">ProcessUpperBoundedConstraintWithSlackCreation</a>(</div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span> <span class="comment">/*substitute_only_inner_variables=*/</span><span class="keyword">false</span>, first_new_var,</div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> expanded_lp_solution_, &amp;cut_, &amp;tmp_ib_slack_infos_);</div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(implied_bounds_processor_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#ab1b4642341faf5ff972b02f034d88f21">DebugSlack</a>(first_new_var, copy_in_debug,</div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> cut_, tmp_ib_slack_infos_));</div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> </div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> <span class="comment">// Fills data for IntegerRoundingCut().</span></div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> <span class="comment">//</span></div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> <span class="comment">// Note(user): we use the current bound here, so the reasonement will only</span></div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> <span class="comment">// produce locally valid cut if we call this at a non-root node. We could</span></div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> <span class="comment">// use the level zero bounds if we wanted to generate a globally valid cut</span></div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> <span class="comment">// at another level. For now this is only called at level zero anyway.</span></div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> tmp_lp_values_.clear();</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> tmp_var_lbs_.clear();</div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> tmp_var_ubs_.clear();</div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : cut_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>) {</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> &gt;= first_new_var) {</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; info =</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> tmp_ib_slack_infos_[(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() - first_new_var.value()) / 2];</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> tmp_lp_values_.push_back(info.lp_value);</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> tmp_var_lbs_.push_back(info.lb);</div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> tmp_var_ubs_.push_back(info.ub);</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> tmp_lp_values_.push_back(expanded_lp_solution_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]);</div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> tmp_var_lbs_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> tmp_var_ubs_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> }</div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> }</div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> </div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> <span class="comment">// Add slack.</span></div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> <span class="comment">// definition: integer_lp_[row] + slack_row == bound;</span></div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> <span class="keyword">const</span> IntegerVariable first_slack(</div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> first_new_var + IntegerVariable(2 * tmp_ib_slack_infos_.size()));</div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> tmp_slack_rows_.clear();</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> tmp_slack_bounds_.clear();</div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> pair : integer_multipliers) {</div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> <span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = pair.first;</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = pair.second;</div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">GetConstraintStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501">glop::ConstraintStatus::FIXED_VALUE</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> </div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> tmp_lp_values_.push_back(0.0);</div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> cut_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(first_slack +</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> 2 * IntegerVariable(tmp_slack_rows_.size()));</div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> tmp_slack_rows_.push_back(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> cut_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> </div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> <span class="keyword">const</span> IntegerValue diff(</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> <a class="code hl_function" href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">CapSub</a>(integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub.value(), integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb.value()));</div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> &gt; 0) {</div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> tmp_slack_bounds_.push_back(integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub);</div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> tmp_var_lbs_.push_back(IntegerValue(0));</div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> tmp_var_ubs_.push_back(diff);</div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> tmp_slack_bounds_.push_back(integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb);</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span> tmp_var_lbs_.push_back(-diff);</div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> tmp_var_ubs_.push_back(IntegerValue(0));</div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span> }</div>
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span> }</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span> </div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> <span class="keywordtype">bool</span> at_least_one_added = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> </div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> <span class="comment">// Try cover approach to find cut.</span></div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> {</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> <span class="keywordflow">if</span> (cover_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#ad86e161bb994fe49fa9c4298ebb5ae2d">TrySimpleKnapsack</a>(cut_, tmp_lp_values_, tmp_var_lbs_,</div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> tmp_var_ubs_)) {</div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> at_least_one_added |= PostprocessAndAddCut(</div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> absl::StrCat(<a class="code hl_variable" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>, <span class="stringliteral">&quot;_K&quot;</span>), cover_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#ac3816c1571dfd130851ed09c79224360">Info</a>(), first_new_var,</div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> first_slack, tmp_ib_slack_infos_, cover_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#aab767e578fedc6ebe0b264c003671a55">mutable_cut</a>());</div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> }</div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> }</div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span> </div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> <span class="comment">// Try integer rounding heuristic to find cut.</span></div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"> 820</span> {</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> RoundingOptions options;</div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span> options.max_scaling = parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#ae352c86cc9b48791890dcb4ec8298a3f">max_integer_rounding_scaling</a>();</div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span> integer_rounding_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_rounding_cut_helper.html#a66c8e6dc26260b69dcdf7668925dc3aa">ComputeCut</a>(options, tmp_lp_values_,</div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span> tmp_var_lbs_, tmp_var_ubs_,</div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> &amp;implied_bounds_processor_, &amp;cut_);</div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> at_least_one_added |= PostprocessAndAddCut(</div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span> <a class="code hl_variable" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>,</div>
<div class="line"><a id="l00828" name="l00828"></a><span class="lineno"> 828</span> absl::StrCat(<span class="stringliteral">&quot;num_lifted_booleans=&quot;</span>,</div>
<div class="line"><a id="l00829" name="l00829"></a><span class="lineno"> 829</span> integer_rounding_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_rounding_cut_helper.html#a4f879f884fd170f77c9024aee023feb2">NumLiftedBooleans</a>()),</div>
<div class="line"><a id="l00830" name="l00830"></a><span class="lineno"> 830</span> first_new_var, first_slack, tmp_ib_slack_infos_, &amp;cut_);</div>
<div class="line"><a id="l00831" name="l00831"></a><span class="lineno"> 831</span> }</div>
<div class="line"><a id="l00832" name="l00832"></a><span class="lineno"> 832</span> <span class="keywordflow">return</span> at_least_one_added;</div>
<div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span>}</div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"> 834</span> </div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::PostprocessAndAddCut(</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span> <span class="keyword">const</span> std::string&amp; <a class="code hl_variable" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>, <span class="keyword">const</span> std::string&amp; info,</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span> IntegerVariable first_new_var, IntegerVariable first_slack,</div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span> <span class="keyword">const</span> std::vector&lt;ImpliedBoundsProcessor::SlackInfo&gt;&amp; ib_slack_infos,</div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span> LinearConstraint* cut) {</div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span> <span class="comment">// Compute the activity. Warning: the cut no longer have the same size so we</span></div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span> <span class="comment">// cannot use tmp_lp_values_. Note that the substitution below shouldn&#39;t</span></div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"> 842</span> <span class="comment">// change the activity by definition.</span></div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span> <span class="keywordtype">double</span> activity = 0.0;</div>
<div class="line"><a id="l00844" name="l00844"></a><span class="lineno"> 844</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; cut-&gt;vars.size(); ++i) {</div>
<div class="line"><a id="l00845" name="l00845"></a><span class="lineno"> 845</span> <span class="keywordflow">if</span> (cut-&gt;vars[i] &lt; first_new_var) {</div>
<div class="line"><a id="l00846" name="l00846"></a><span class="lineno"> 846</span> activity +=</div>
<div class="line"><a id="l00847" name="l00847"></a><span class="lineno"> 847</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(cut-&gt;coeffs[i]) * expanded_lp_solution_[cut-&gt;vars[i]];</div>
<div class="line"><a id="l00848" name="l00848"></a><span class="lineno"> 848</span> }</div>
<div class="line"><a id="l00849" name="l00849"></a><span class="lineno"> 849</span> }</div>
<div class="line"><a id="l00850" name="l00850"></a><span class="lineno"> 850</span> <span class="keyword">const</span> <span class="keywordtype">double</span> kMinViolation = 1e-4;</div>
<div class="line"><a id="l00851" name="l00851"></a><span class="lineno"> 851</span> <span class="keyword">const</span> <span class="keywordtype">double</span> violation = activity - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(cut-&gt;ub);</div>
<div class="line"><a id="l00852" name="l00852"></a><span class="lineno"> 852</span> <span class="keywordflow">if</span> (violation &lt; kMinViolation) {</div>
<div class="line"><a id="l00853" name="l00853"></a><span class="lineno"> 853</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) &lt;&lt; <span class="stringliteral">&quot;Bad cut &quot;</span> &lt;&lt; activity &lt;&lt; <span class="stringliteral">&quot; &lt;= &quot;</span> &lt;&lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(cut-&gt;ub);</div>
<div class="line"><a id="l00854" name="l00854"></a><span class="lineno"> 854</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00855" name="l00855"></a><span class="lineno"> 855</span> }</div>
<div class="line"><a id="l00856" name="l00856"></a><span class="lineno"> 856</span> </div>
<div class="line"><a id="l00857" name="l00857"></a><span class="lineno"> 857</span> <span class="comment">// Substitute any slack left.</span></div>
<div class="line"><a id="l00858" name="l00858"></a><span class="lineno"> 858</span> {</div>
<div class="line"><a id="l00859" name="l00859"></a><span class="lineno"> 859</span> <span class="keywordtype">int</span> num_slack = 0;</div>
<div class="line"><a id="l00860" name="l00860"></a><span class="lineno"> 860</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#ab2fc4510692e040b62507dce522e0e31">ClearAndResize</a>(integer_variables_.size());</div>
<div class="line"><a id="l00861" name="l00861"></a><span class="lineno"> 861</span> IntegerValue cut_ub = cut-&gt;ub;</div>
<div class="line"><a id="l00862" name="l00862"></a><span class="lineno"> 862</span> <span class="keywordtype">bool</span> overflow = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00863" name="l00863"></a><span class="lineno"> 863</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; cut-&gt;vars.size(); ++i) {</div>
<div class="line"><a id="l00864" name="l00864"></a><span class="lineno"> 864</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = cut-&gt;vars[i];</div>
<div class="line"><a id="l00865" name="l00865"></a><span class="lineno"> 865</span> </div>
<div class="line"><a id="l00866" name="l00866"></a><span class="lineno"> 866</span> <span class="comment">// Simple copy for non-slack variables.</span></div>
<div class="line"><a id="l00867" name="l00867"></a><span class="lineno"> 867</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> &lt; first_new_var) {</div>
<div class="line"><a id="l00868" name="l00868"></a><span class="lineno"> 868</span> <span class="keyword">const</span> glop::ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> =</div>
<div class="line"><a id="l00869" name="l00869"></a><span class="lineno"> 869</span> <a class="code hl_function" href="namespacegtl.html#a73f41ac11336b94768fdd41594153d59">gtl::FindOrDie</a>(mirror_lp_variable_, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00870" name="l00870"></a><span class="lineno"> 870</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a id="l00871" name="l00871"></a><span class="lineno"> 871</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a4940f758f3c0e757a4bcb5bbf795ce67">Add</a>(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, cut-&gt;coeffs[i]);</div>
<div class="line"><a id="l00872" name="l00872"></a><span class="lineno"> 872</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00873" name="l00873"></a><span class="lineno"> 873</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a4940f758f3c0e757a4bcb5bbf795ce67">Add</a>(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, -cut-&gt;coeffs[i]);</div>
<div class="line"><a id="l00874" name="l00874"></a><span class="lineno"> 874</span> }</div>
<div class="line"><a id="l00875" name="l00875"></a><span class="lineno"> 875</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00876" name="l00876"></a><span class="lineno"> 876</span> }</div>
<div class="line"><a id="l00877" name="l00877"></a><span class="lineno"> 877</span> </div>
<div class="line"><a id="l00878" name="l00878"></a><span class="lineno"> 878</span> <span class="comment">// Replace slack from bound substitution.</span></div>
<div class="line"><a id="l00879" name="l00879"></a><span class="lineno"> 879</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> &lt; first_slack) {</div>
<div class="line"><a id="l00880" name="l00880"></a><span class="lineno"> 880</span> <span class="keyword">const</span> IntegerValue multiplier = cut-&gt;coeffs[i];</div>
<div class="line"><a id="l00881" name="l00881"></a><span class="lineno"> 881</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() - first_new_var.value()) / 2;</div>
<div class="line"><a id="l00882" name="l00882"></a><span class="lineno"> 882</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, ib_slack_infos.size());</div>
<div class="line"><a id="l00883" name="l00883"></a><span class="lineno"> 883</span> </div>
<div class="line"><a id="l00884" name="l00884"></a><span class="lineno"> 884</span> tmp_terms_.clear();</div>
<div class="line"><a id="l00885" name="l00885"></a><span class="lineno"> 885</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;IntegerVariable, IntegerValue&gt;&amp; term :</div>
<div class="line"><a id="l00886" name="l00886"></a><span class="lineno"> 886</span> ib_slack_infos[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>].terms) {</div>
<div class="line"><a id="l00887" name="l00887"></a><span class="lineno"> 887</span> tmp_terms_.push_back(</div>
<div class="line"><a id="l00888" name="l00888"></a><span class="lineno"> 888</span> {<a class="code hl_function" href="namespacegtl.html#a73f41ac11336b94768fdd41594153d59">gtl::FindOrDie</a>(mirror_lp_variable_,</div>
<div class="line"><a id="l00889" name="l00889"></a><span class="lineno"> 889</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(term.first)),</div>
<div class="line"><a id="l00890" name="l00890"></a><span class="lineno"> 890</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(term.first) ? term.second : -term.second});</div>
<div class="line"><a id="l00891" name="l00891"></a><span class="lineno"> 891</span> }</div>
<div class="line"><a id="l00892" name="l00892"></a><span class="lineno"> 892</span> <span class="keywordflow">if</span> (!tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a65d000f780742581ff592c56c0a6e261">AddLinearExpressionMultiple</a>(multiplier,</div>
<div class="line"><a id="l00893" name="l00893"></a><span class="lineno"> 893</span> tmp_terms_)) {</div>
<div class="line"><a id="l00894" name="l00894"></a><span class="lineno"> 894</span> overflow = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00895" name="l00895"></a><span class="lineno"> 895</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00896" name="l00896"></a><span class="lineno"> 896</span> }</div>
<div class="line"><a id="l00897" name="l00897"></a><span class="lineno"> 897</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(multiplier, -ib_slack_infos[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>].offset, &amp;cut_ub)) {</div>
<div class="line"><a id="l00898" name="l00898"></a><span class="lineno"> 898</span> overflow = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00899" name="l00899"></a><span class="lineno"> 899</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00900" name="l00900"></a><span class="lineno"> 900</span> }</div>
<div class="line"><a id="l00901" name="l00901"></a><span class="lineno"> 901</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00902" name="l00902"></a><span class="lineno"> 902</span> }</div>
<div class="line"><a id="l00903" name="l00903"></a><span class="lineno"> 903</span> </div>
<div class="line"><a id="l00904" name="l00904"></a><span class="lineno"> 904</span> <span class="comment">// Replace slack from LP constraints.</span></div>
<div class="line"><a id="l00905" name="l00905"></a><span class="lineno"> 905</span> ++num_slack;</div>
<div class="line"><a id="l00906" name="l00906"></a><span class="lineno"> 906</span> <span class="keyword">const</span> <span class="keywordtype">int</span> slack_index = (<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() - first_slack.value()) / 2;</div>
<div class="line"><a id="l00907" name="l00907"></a><span class="lineno"> 907</span> <span class="keyword">const</span> glop::RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = tmp_slack_rows_[slack_index];</div>
<div class="line"><a id="l00908" name="l00908"></a><span class="lineno"> 908</span> <span class="keyword">const</span> IntegerValue multiplier = -cut-&gt;coeffs[i];</div>
<div class="line"><a id="l00909" name="l00909"></a><span class="lineno"> 909</span> <span class="keywordflow">if</span> (!tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a65d000f780742581ff592c56c0a6e261">AddLinearExpressionMultiple</a>(</div>
<div class="line"><a id="l00910" name="l00910"></a><span class="lineno"> 910</span> multiplier, integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].terms)) {</div>
<div class="line"><a id="l00911" name="l00911"></a><span class="lineno"> 911</span> overflow = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00912" name="l00912"></a><span class="lineno"> 912</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00913" name="l00913"></a><span class="lineno"> 913</span> }</div>
<div class="line"><a id="l00914" name="l00914"></a><span class="lineno"> 914</span> </div>
<div class="line"><a id="l00915" name="l00915"></a><span class="lineno"> 915</span> <span class="comment">// Update rhs.</span></div>
<div class="line"><a id="l00916" name="l00916"></a><span class="lineno"> 916</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(multiplier, tmp_slack_bounds_[slack_index], &amp;cut_ub)) {</div>
<div class="line"><a id="l00917" name="l00917"></a><span class="lineno"> 917</span> overflow = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00918" name="l00918"></a><span class="lineno"> 918</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00919" name="l00919"></a><span class="lineno"> 919</span> }</div>
<div class="line"><a id="l00920" name="l00920"></a><span class="lineno"> 920</span> }</div>
<div class="line"><a id="l00921" name="l00921"></a><span class="lineno"> 921</span> </div>
<div class="line"><a id="l00922" name="l00922"></a><span class="lineno"> 922</span> <span class="keywordflow">if</span> (overflow) {</div>
<div class="line"><a id="l00923" name="l00923"></a><span class="lineno"> 923</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Overflow in slack removal.&quot;</span>;</div>
<div class="line"><a id="l00924" name="l00924"></a><span class="lineno"> 924</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00925" name="l00925"></a><span class="lineno"> 925</span> }</div>
<div class="line"><a id="l00926" name="l00926"></a><span class="lineno"> 926</span> </div>
<div class="line"><a id="l00927" name="l00927"></a><span class="lineno"> 927</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(3) &lt;&lt; <span class="stringliteral">&quot; num_slack: &quot;</span> &lt;&lt; num_slack;</div>
<div class="line"><a id="l00928" name="l00928"></a><span class="lineno"> 928</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9">ConvertToLinearConstraint</a>(integer_variables_, cut_ub,</div>
<div class="line"><a id="l00929" name="l00929"></a><span class="lineno"> 929</span> cut);</div>
<div class="line"><a id="l00930" name="l00930"></a><span class="lineno"> 930</span> }</div>
<div class="line"><a id="l00931" name="l00931"></a><span class="lineno"> 931</span> </div>
<div class="line"><a id="l00932" name="l00932"></a><span class="lineno"> 932</span> <span class="comment">// Display some stats used for investigation of cut generation.</span></div>
<div class="line"><a id="l00933" name="l00933"></a><span class="lineno"> 933</span> <span class="keyword">const</span> std::string extra_info =</div>
<div class="line"><a id="l00934" name="l00934"></a><span class="lineno"> 934</span> absl::StrCat(info, <span class="stringliteral">&quot; num_ib_substitutions=&quot;</span>, ib_slack_infos.size());</div>
<div class="line"><a id="l00935" name="l00935"></a><span class="lineno"> 935</span> </div>
<div class="line"><a id="l00936" name="l00936"></a><span class="lineno"> 936</span> <span class="keyword">const</span> <span class="keywordtype">double</span> new_violation =</div>
<div class="line"><a id="l00937" name="l00937"></a><span class="lineno"> 937</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2">ComputeActivity</a>(*cut, expanded_lp_solution_) - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(cut_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>);</div>
<div class="line"><a id="l00938" name="l00938"></a><span class="lineno"> 938</span> <span class="keywordflow">if</span> (std::abs(violation - new_violation) &gt;= 1e-4) {</div>
<div class="line"><a id="l00939" name="l00939"></a><span class="lineno"> 939</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Violation discrepancy after slack removal. &quot;</span></div>
<div class="line"><a id="l00940" name="l00940"></a><span class="lineno"> 940</span> &lt;&lt; <span class="stringliteral">&quot; before = &quot;</span> &lt;&lt; violation &lt;&lt; <span class="stringliteral">&quot; after = &quot;</span> &lt;&lt; new_violation;</div>
<div class="line"><a id="l00941" name="l00941"></a><span class="lineno"> 941</span> }</div>
<div class="line"><a id="l00942" name="l00942"></a><span class="lineno"> 942</span> </div>
<div class="line"><a id="l00943" name="l00943"></a><span class="lineno"> 943</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(cut);</div>
<div class="line"><a id="l00944" name="l00944"></a><span class="lineno"> 944</span> <span class="keywordflow">return</span> constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a9456bb31790e4dae791914e3c065b460">AddCut</a>(*cut, <a class="code hl_variable" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>, expanded_lp_solution_,</div>
<div class="line"><a id="l00945" name="l00945"></a><span class="lineno"> 945</span> extra_info);</div>
<div class="line"><a id="l00946" name="l00946"></a><span class="lineno"> 946</span>}</div>
<div class="line"><a id="l00947" name="l00947"></a><span class="lineno"> 947</span> </div>
<div class="line"><a id="l00948" name="l00948"></a><span class="lineno"> 948</span><span class="comment">// TODO(user): This can be still too slow on some problems like</span></div>
<div class="line"><a id="l00949" name="l00949"></a><span class="lineno"> 949</span><span class="comment">// 30_70_45_05_100.mps.gz. Not this actual function, but the set of computation</span></div>
<div class="line"><a id="l00950" name="l00950"></a><span class="lineno"> 950</span><span class="comment">// it triggers. We should add heuristics to abort earlier if a cut is not</span></div>
<div class="line"><a id="l00951" name="l00951"></a><span class="lineno"> 951</span><span class="comment">// promising. Or only test a few positions and not all rows.</span></div>
<div class="line"><a id="l00952" name="l00952"></a><span class="lineno"> 952</span><span class="keywordtype">void</span> LinearProgrammingConstraint::AddCGCuts() {</div>
<div class="line"><a id="l00953" name="l00953"></a><span class="lineno"> 953</span> <span class="keyword">const</span> RowIndex num_rows = lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#afda9b9b5e858d0c466d2a6293361004a">num_constraints</a>();</div>
<div class="line"><a id="l00954" name="l00954"></a><span class="lineno"> 954</span> <span class="keywordflow">for</span> (RowIndex <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; num_rows; ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l00955" name="l00955"></a><span class="lineno"> 955</span> ColIndex basis_col = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ae15a49e0cab69203efca232f0b32866d">GetBasis</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00956" name="l00956"></a><span class="lineno"> 956</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> lp_value = GetVariableValueAtCpScale(basis_col);</div>
<div class="line"><a id="l00957" name="l00957"></a><span class="lineno"> 957</span> </div>
<div class="line"><a id="l00958" name="l00958"></a><span class="lineno"> 958</span> <span class="comment">// Only consider fractional basis element. We ignore element that are close</span></div>
<div class="line"><a id="l00959" name="l00959"></a><span class="lineno"> 959</span> <span class="comment">// to an integer to reduce the amount of positions we try.</span></div>
<div class="line"><a id="l00960" name="l00960"></a><span class="lineno"> 960</span> <span class="comment">//</span></div>
<div class="line"><a id="l00961" name="l00961"></a><span class="lineno"> 961</span> <span class="comment">// TODO(user): We could just look at the diff with std::floor() in the hope</span></div>
<div class="line"><a id="l00962" name="l00962"></a><span class="lineno"> 962</span> <span class="comment">// that when we are just under an integer, the exact computation below will</span></div>
<div class="line"><a id="l00963" name="l00963"></a><span class="lineno"> 963</span> <span class="comment">// also be just under it.</span></div>
<div class="line"><a id="l00964" name="l00964"></a><span class="lineno"> 964</span> <span class="keywordflow">if</span> (std::abs(lp_value - std::round(lp_value)) &lt; 0.01) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00965" name="l00965"></a><span class="lineno"> 965</span> </div>
<div class="line"><a id="l00966" name="l00966"></a><span class="lineno"> 966</span> <span class="comment">// If this variable is a slack, we ignore it. This is because the</span></div>
<div class="line"><a id="l00967" name="l00967"></a><span class="lineno"> 967</span> <span class="comment">// corresponding row is not tight under the given lp values.</span></div>
<div class="line"><a id="l00968" name="l00968"></a><span class="lineno"> 968</span> <span class="keywordflow">if</span> (basis_col &gt;= integer_variables_.size()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00969" name="l00969"></a><span class="lineno"> 969</span> </div>
<div class="line"><a id="l00970" name="l00970"></a><span class="lineno"> 970</span> <span class="keywordflow">if</span> (time_limit_-&gt;<a class="code hl_function" href="classoperations__research_1_1_time_limit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">LimitReached</a>()) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00971" name="l00971"></a><span class="lineno"> 971</span> </div>
<div class="line"><a id="l00972" name="l00972"></a><span class="lineno"> 972</span> <span class="comment">// TODO(user): Avoid code duplication between the sparse/dense path.</span></div>
<div class="line"><a id="l00973" name="l00973"></a><span class="lineno"> 973</span> <span class="keywordtype">double</span> magnitude = 0.0;</div>
<div class="line"><a id="l00974" name="l00974"></a><span class="lineno"> 974</span> tmp_lp_multipliers_.clear();</div>
<div class="line"><a id="l00975" name="l00975"></a><span class="lineno"> 975</span> <span class="keyword">const</span> glop::ScatteredRow&amp; lambda = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a95e8c74f6630e598f7a9e8032479ab11">GetUnitRowLeftInverse</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00976" name="l00976"></a><span class="lineno"> 976</span> <span class="keywordflow">if</span> (lambda.non_zeros.empty()) {</div>
<div class="line"><a id="l00977" name="l00977"></a><span class="lineno"> 977</span> <span class="keywordflow">for</span> (RowIndex <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; num_rows; ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l00978" name="l00978"></a><span class="lineno"> 978</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = lambda.values[<a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">glop::RowToColIndex</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>)];</div>
<div class="line"><a id="l00979" name="l00979"></a><span class="lineno"> 979</span> <span class="keywordflow">if</span> (std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) &lt; kZeroTolerance) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00980" name="l00980"></a><span class="lineno"> 980</span> </div>
<div class="line"><a id="l00981" name="l00981"></a><span class="lineno"> 981</span> <span class="comment">// There should be no BASIC status, but they could be imprecision</span></div>
<div class="line"><a id="l00982" name="l00982"></a><span class="lineno"> 982</span> <span class="comment">// in the GetUnitRowLeftInverse() code? not sure, so better be safe.</span></div>
<div class="line"><a id="l00983" name="l00983"></a><span class="lineno"> 983</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">GetConstraintStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00984" name="l00984"></a><span class="lineno"> 984</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e">glop::ConstraintStatus::BASIC</a>) {</div>
<div class="line"><a id="l00985" name="l00985"></a><span class="lineno"> 985</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;BASIC row not expected! &quot;</span> &lt;&lt; <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l00986" name="l00986"></a><span class="lineno"> 986</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00987" name="l00987"></a><span class="lineno"> 987</span> }</div>
<div class="line"><a id="l00988" name="l00988"></a><span class="lineno"> 988</span> </div>
<div class="line"><a id="l00989" name="l00989"></a><span class="lineno"> 989</span> magnitude = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(magnitude, std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div>
<div class="line"><a id="l00990" name="l00990"></a><span class="lineno"> 990</span> tmp_lp_multipliers_.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>});</div>
<div class="line"><a id="l00991" name="l00991"></a><span class="lineno"> 991</span> }</div>
<div class="line"><a id="l00992" name="l00992"></a><span class="lineno"> 992</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00993" name="l00993"></a><span class="lineno"> 993</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : lambda.non_zeros) {</div>
<div class="line"><a id="l00994" name="l00994"></a><span class="lineno"> 994</span> <span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">glop::ColToRowIndex</a>(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00995" name="l00995"></a><span class="lineno"> 995</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = lambda.values[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00996" name="l00996"></a><span class="lineno"> 996</span> <span class="keywordflow">if</span> (std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) &lt; kZeroTolerance) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00997" name="l00997"></a><span class="lineno"> 997</span> </div>
<div class="line"><a id="l00998" name="l00998"></a><span class="lineno"> 998</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">GetConstraintStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00999" name="l00999"></a><span class="lineno"> 999</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e">glop::ConstraintStatus::BASIC</a>) {</div>
<div class="line"><a id="l01000" name="l01000"></a><span class="lineno"> 1000</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;BASIC row not expected! &quot;</span> &lt;&lt; <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
<div class="line"><a id="l01001" name="l01001"></a><span class="lineno"> 1001</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01002" name="l01002"></a><span class="lineno"> 1002</span> }</div>
<div class="line"><a id="l01003" name="l01003"></a><span class="lineno"> 1003</span> </div>
<div class="line"><a id="l01004" name="l01004"></a><span class="lineno"> 1004</span> magnitude = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(magnitude, std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div>
<div class="line"><a id="l01005" name="l01005"></a><span class="lineno"> 1005</span> tmp_lp_multipliers_.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>});</div>
<div class="line"><a id="l01006" name="l01006"></a><span class="lineno"> 1006</span> }</div>
<div class="line"><a id="l01007" name="l01007"></a><span class="lineno"> 1007</span> }</div>
<div class="line"><a id="l01008" name="l01008"></a><span class="lineno"> 1008</span> <span class="keywordflow">if</span> (tmp_lp_multipliers_.empty()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01009" name="l01009"></a><span class="lineno"> 1009</span> </div>
<div class="line"><a id="l01010" name="l01010"></a><span class="lineno"> 1010</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> scaling;</div>
<div class="line"><a id="l01011" name="l01011"></a><span class="lineno"> 1011</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; 2; ++i) {</div>
<div class="line"><a id="l01012" name="l01012"></a><span class="lineno"> 1012</span> <span class="keywordflow">if</span> (i == 1) {</div>
<div class="line"><a id="l01013" name="l01013"></a><span class="lineno"> 1013</span> <span class="comment">// Try other sign.</span></div>
<div class="line"><a id="l01014" name="l01014"></a><span class="lineno"> 1014</span> <span class="comment">//</span></div>
<div class="line"><a id="l01015" name="l01015"></a><span class="lineno"> 1015</span> <span class="comment">// TODO(user): Maybe add an heuristic to know beforehand which sign to</span></div>
<div class="line"><a id="l01016" name="l01016"></a><span class="lineno"> 1016</span> <span class="comment">// use?</span></div>
<div class="line"><a id="l01017" name="l01017"></a><span class="lineno"> 1017</span> <span class="keywordflow">for</span> (std::pair&lt;RowIndex, double&gt;&amp; p : tmp_lp_multipliers_) {</div>
<div class="line"><a id="l01018" name="l01018"></a><span class="lineno"> 1018</span> p.second = -p.second;</div>
<div class="line"><a id="l01019" name="l01019"></a><span class="lineno"> 1019</span> }</div>
<div class="line"><a id="l01020" name="l01020"></a><span class="lineno"> 1020</span> }</div>
<div class="line"><a id="l01021" name="l01021"></a><span class="lineno"> 1021</span> </div>
<div class="line"><a id="l01022" name="l01022"></a><span class="lineno"> 1022</span> <span class="comment">// TODO(user): We use a lower value here otherwise we might run into</span></div>
<div class="line"><a id="l01023" name="l01023"></a><span class="lineno"> 1023</span> <span class="comment">// overflow while computing the cut. This should be fixable.</span></div>
<div class="line"><a id="l01024" name="l01024"></a><span class="lineno"> 1024</span> tmp_integer_multipliers_ =</div>
<div class="line"><a id="l01025" name="l01025"></a><span class="lineno"> 1025</span> ScaleLpMultiplier(<span class="comment">/*take_objective_into_account=*/</span><span class="keyword">false</span>,</div>
<div class="line"><a id="l01026" name="l01026"></a><span class="lineno"> 1026</span> tmp_lp_multipliers_, &amp;scaling, <span class="comment">/*max_pow=*/</span>52);</div>
<div class="line"><a id="l01027" name="l01027"></a><span class="lineno"> 1027</span> AddCutFromConstraints(<span class="stringliteral">&quot;CG&quot;</span>, tmp_integer_multipliers_);</div>
<div class="line"><a id="l01028" name="l01028"></a><span class="lineno"> 1028</span> }</div>
<div class="line"><a id="l01029" name="l01029"></a><span class="lineno"> 1029</span> }</div>
<div class="line"><a id="l01030" name="l01030"></a><span class="lineno"> 1030</span>}</div>
<div class="line"><a id="l01031" name="l01031"></a><span class="lineno"> 1031</span> </div>
<div class="line"><a id="l01032" name="l01032"></a><span class="lineno"> 1032</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l01033" name="l01033"></a><span class="lineno"> 1033</span> </div>
<div class="line"><a id="l01034" name="l01034"></a><span class="lineno"> 1034</span><span class="comment">// For each element of a, adds a random one in b and append the pair to output.</span></div>
<div class="line"><a id="l01035" name="l01035"></a><span class="lineno"> 1035</span><span class="keywordtype">void</span> RandomPick(<span class="keyword">const</span> std::vector&lt;RowIndex&gt;&amp; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> std::vector&lt;RowIndex&gt;&amp; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
<div class="line"><a id="l01036" name="l01036"></a><span class="lineno"> 1036</span> ModelRandomGenerator* random,</div>
<div class="line"><a id="l01037" name="l01037"></a><span class="lineno"> 1037</span> std::vector&lt;std::pair&lt;RowIndex, RowIndex&gt;&gt;* output) {</div>
<div class="line"><a id="l01038" name="l01038"></a><span class="lineno"> 1038</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.empty() || <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.empty()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01039" name="l01039"></a><span class="lineno"> 1039</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>) {</div>
<div class="line"><a id="l01040" name="l01040"></a><span class="lineno"> 1040</span> <span class="keyword">const</span> RowIndex other = <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>[absl::Uniform&lt;int&gt;(*random, 0, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.size())];</div>
<div class="line"><a id="l01041" name="l01041"></a><span class="lineno"> 1041</span> <span class="keywordflow">if</span> (other != <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l01042" name="l01042"></a><span class="lineno"> 1042</span> output-&gt;push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, other});</div>
<div class="line"><a id="l01043" name="l01043"></a><span class="lineno"> 1043</span> }</div>
<div class="line"><a id="l01044" name="l01044"></a><span class="lineno"> 1044</span> }</div>
<div class="line"><a id="l01045" name="l01045"></a><span class="lineno"> 1045</span>}</div>
<div class="line"><a id="l01046" name="l01046"></a><span class="lineno"> 1046</span> </div>
<div class="line"><a id="l01047" name="l01047"></a><span class="lineno"> 1047</span><span class="keyword">template</span> &lt;<span class="keyword">class</span> ListOfTerms&gt;</div>
<div class="line"><a id="l01048" name="l01048"></a><span class="lineno"> 1048</span>IntegerValue GetCoeff(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <span class="keyword">const</span> ListOfTerms&amp; terms) {</div>
<div class="line"><a id="l01049" name="l01049"></a><span class="lineno"> 1049</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="l01050" name="l01050"></a><span class="lineno"> 1050</span> <span class="keywordflow">if</span> (term.first == <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) <span class="keywordflow">return</span> term.second;</div>
<div class="line"><a id="l01051" name="l01051"></a><span class="lineno"> 1051</span> }</div>
<div class="line"><a id="l01052" name="l01052"></a><span class="lineno"> 1052</span> <span class="keywordflow">return</span> IntegerValue(0);</div>
<div class="line"><a id="l01053" name="l01053"></a><span class="lineno"> 1053</span>}</div>
<div class="line"><a id="l01054" name="l01054"></a><span class="lineno"> 1054</span> </div>
<div class="line"><a id="l01055" name="l01055"></a><span class="lineno"> 1055</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l01056" name="l01056"></a><span class="lineno"> 1056</span> </div>
<div class="line"><a id="l01057" name="l01057"></a><span class="lineno"> 1057</span><span class="comment">// Because we know the objective is integer, the constraint objective &gt;= lb can</span></div>
<div class="line"><a id="l01058" name="l01058"></a><span class="lineno"> 1058</span><span class="comment">// sometime cut the current lp optimal, and it can make a big difference to add</span></div>
<div class="line"><a id="l01059" name="l01059"></a><span class="lineno"> 1059</span><span class="comment">// it. Or at least use it when constructing more advanced cuts. See</span></div>
<div class="line"><a id="l01060" name="l01060"></a><span class="lineno"> 1060</span><span class="comment">// &#39;multisetcover_batch_0_case_115_instance_0_small_subset_elements_3_sumreqs</span></div>
<div class="line"><a id="l01061" name="l01061"></a><span class="lineno"> 1061</span><span class="comment">// _1295_candidates_41.fzn&#39;</span></div>
<div class="line"><a id="l01062" name="l01062"></a><span class="lineno"> 1062</span><span class="comment">//</span></div>
<div class="line"><a id="l01063" name="l01063"></a><span class="lineno"> 1063</span><span class="comment">// TODO(user): It might be better to just integrate this with the MIR code so</span></div>
<div class="line"><a id="l01064" name="l01064"></a><span class="lineno"> 1064</span><span class="comment">// that we not only consider MIR1 involving the objective but we also consider</span></div>
<div class="line"><a id="l01065" name="l01065"></a><span class="lineno"> 1065</span><span class="comment">// combining it with other constraints.</span></div>
<div class="line"><a id="l01066" name="l01066"></a><span class="lineno"> 1066</span><span class="keywordtype">void</span> LinearProgrammingConstraint::AddObjectiveCut() {</div>
<div class="line"><a id="l01067" name="l01067"></a><span class="lineno"> 1067</span> <span class="keywordflow">if</span> (integer_objective_.size() &lt;= 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01068" name="l01068"></a><span class="lineno"> 1068</span> </div>
<div class="line"><a id="l01069" name="l01069"></a><span class="lineno"> 1069</span> <span class="comment">// We only try to add such cut if the LB objective is &quot;far&quot; from the current</span></div>
<div class="line"><a id="l01070" name="l01070"></a><span class="lineno"> 1070</span> <span class="comment">// objective lower bound. Note that this is in term of the &quot;internal&quot; integer</span></div>
<div class="line"><a id="l01071" name="l01071"></a><span class="lineno"> 1071</span> <span class="comment">// objective.</span></div>
<div class="line"><a id="l01072" name="l01072"></a><span class="lineno"> 1072</span> <span class="keyword">const</span> <span class="keywordtype">double</span> obj_lp_value = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l01073" name="l01073"></a><span class="lineno"> 1073</span> <span class="keyword">const</span> IntegerValue obj_lower_bound =</div>
<div class="line"><a id="l01074" name="l01074"></a><span class="lineno"> 1074</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(objective_cp_);</div>
<div class="line"><a id="l01075" name="l01075"></a><span class="lineno"> 1075</span> <span class="keywordflow">if</span> (obj_lp_value + 1.0 &gt;= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(obj_lower_bound)) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01076" name="l01076"></a><span class="lineno"> 1076</span> </div>
<div class="line"><a id="l01077" name="l01077"></a><span class="lineno"> 1077</span> tmp_lp_values_.clear();</div>
<div class="line"><a id="l01078" name="l01078"></a><span class="lineno"> 1078</span> tmp_var_lbs_.clear();</div>
<div class="line"><a id="l01079" name="l01079"></a><span class="lineno"> 1079</span> tmp_var_ubs_.clear();</div>
<div class="line"><a id="l01080" name="l01080"></a><span class="lineno"> 1080</span> </div>
<div class="line"><a id="l01081" name="l01081"></a><span class="lineno"> 1081</span> <span class="comment">// We negate everything to have a &lt;= base constraint.</span></div>
<div class="line"><a id="l01082" name="l01082"></a><span class="lineno"> 1082</span> LinearConstraint objective_ct;</div>
<div class="line"><a id="l01083" name="l01083"></a><span class="lineno"> 1083</span> objective_ct.lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
<div class="line"><a id="l01084" name="l01084"></a><span class="lineno"> 1084</span> objective_ct.ub = integer_objective_offset_ -</div>
<div class="line"><a id="l01085" name="l01085"></a><span class="lineno"> 1085</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(objective_cp_);</div>
<div class="line"><a id="l01086" name="l01086"></a><span class="lineno"> 1086</span> IntegerValue obj_coeff_magnitude(0);</div>
<div class="line"><a id="l01087" name="l01087"></a><span class="lineno"> 1087</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#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>] : integer_objective_) {</div>
<div class="line"><a id="l01088" name="l01088"></a><span class="lineno"> 1088</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>.value()];</div>
<div class="line"><a id="l01089" name="l01089"></a><span class="lineno"> 1089</span> objective_ct.vars.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l01090" name="l01090"></a><span class="lineno"> 1090</span> tmp_lp_values_.push_back(expanded_lp_solution_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]);</div>
<div class="line"><a id="l01091" name="l01091"></a><span class="lineno"> 1091</span> tmp_var_lbs_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01092" name="l01092"></a><span class="lineno"> 1092</span> tmp_var_ubs_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01093" name="l01093"></a><span class="lineno"> 1093</span> objective_ct.coeffs.push_back(-<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l01094" name="l01094"></a><span class="lineno"> 1094</span> obj_coeff_magnitude = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(obj_coeff_magnitude, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>));</div>
<div class="line"><a id="l01095" name="l01095"></a><span class="lineno"> 1095</span> }</div>
<div class="line"><a id="l01096" name="l01096"></a><span class="lineno"> 1096</span> </div>
<div class="line"><a id="l01097" name="l01097"></a><span class="lineno"> 1097</span> <span class="comment">// If the magnitude is small enough, just try to add the full objective. Other</span></div>
<div class="line"><a id="l01098" name="l01098"></a><span class="lineno"> 1098</span> <span class="comment">// cuts will be derived in subsequent passes. Otherwise, try normal cut</span></div>
<div class="line"><a id="l01099" name="l01099"></a><span class="lineno"> 1099</span> <span class="comment">// heuristic that should result in a cut with reasonable coefficients.</span></div>
<div class="line"><a id="l01100" name="l01100"></a><span class="lineno"> 1100</span> <span class="keywordflow">if</span> (obj_coeff_magnitude &lt; 1e9) {</div>
<div class="line"><a id="l01101" name="l01101"></a><span class="lineno"> 1101</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> added = constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a9456bb31790e4dae791914e3c065b460">AddCut</a>(objective_ct, <span class="stringliteral">&quot;Objective&quot;</span>,</div>
<div class="line"><a id="l01102" name="l01102"></a><span class="lineno"> 1102</span> expanded_lp_solution_);</div>
<div class="line"><a id="l01103" name="l01103"></a><span class="lineno"> 1103</span> <span class="keywordflow">if</span> (added) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01104" name="l01104"></a><span class="lineno"> 1104</span> }</div>
<div class="line"><a id="l01105" name="l01105"></a><span class="lineno"> 1105</span> </div>
<div class="line"><a id="l01106" name="l01106"></a><span class="lineno"> 1106</span> <span class="comment">// Try knapsack.</span></div>
<div class="line"><a id="l01107" name="l01107"></a><span class="lineno"> 1107</span> {</div>
<div class="line"><a id="l01108" name="l01108"></a><span class="lineno"> 1108</span> cut_ = objective_ct;</div>
<div class="line"><a id="l01109" name="l01109"></a><span class="lineno"> 1109</span> <span class="keywordflow">if</span> (cover_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#ad86e161bb994fe49fa9c4298ebb5ae2d">TrySimpleKnapsack</a>(cut_, tmp_lp_values_, tmp_var_lbs_,</div>
<div class="line"><a id="l01110" name="l01110"></a><span class="lineno"> 1110</span> tmp_var_ubs_)) {</div>
<div class="line"><a id="l01111" name="l01111"></a><span class="lineno"> 1111</span> constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a9456bb31790e4dae791914e3c065b460">AddCut</a>(cut_, <span class="stringliteral">&quot;Objective_K&quot;</span>, expanded_lp_solution_);</div>
<div class="line"><a id="l01112" name="l01112"></a><span class="lineno"> 1112</span> }</div>
<div class="line"><a id="l01113" name="l01113"></a><span class="lineno"> 1113</span> }</div>
<div class="line"><a id="l01114" name="l01114"></a><span class="lineno"> 1114</span> </div>
<div class="line"><a id="l01115" name="l01115"></a><span class="lineno"> 1115</span> <span class="comment">// Try MIR1.</span></div>
<div class="line"><a id="l01116" name="l01116"></a><span class="lineno"> 1116</span> {</div>
<div class="line"><a id="l01117" name="l01117"></a><span class="lineno"> 1117</span> cut_ = objective_ct;</div>
<div class="line"><a id="l01118" name="l01118"></a><span class="lineno"> 1118</span> RoundingOptions options;</div>
<div class="line"><a id="l01119" name="l01119"></a><span class="lineno"> 1119</span> options.max_scaling = parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#ae352c86cc9b48791890dcb4ec8298a3f">max_integer_rounding_scaling</a>();</div>
<div class="line"><a id="l01120" name="l01120"></a><span class="lineno"> 1120</span> integer_rounding_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_rounding_cut_helper.html#a66c8e6dc26260b69dcdf7668925dc3aa">ComputeCut</a>(options, tmp_lp_values_,</div>
<div class="line"><a id="l01121" name="l01121"></a><span class="lineno"> 1121</span> tmp_var_lbs_, tmp_var_ubs_,</div>
<div class="line"><a id="l01122" name="l01122"></a><span class="lineno"> 1122</span> &amp;implied_bounds_processor_, &amp;cut_);</div>
<div class="line"><a id="l01123" name="l01123"></a><span class="lineno"> 1123</span> </div>
<div class="line"><a id="l01124" name="l01124"></a><span class="lineno"> 1124</span> <span class="comment">// Note that the cut will not be added if it is not good enough.</span></div>
<div class="line"><a id="l01125" name="l01125"></a><span class="lineno"> 1125</span> constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a9456bb31790e4dae791914e3c065b460">AddCut</a>(cut_, <span class="stringliteral">&quot;Objective_MIR&quot;</span>, expanded_lp_solution_);</div>
<div class="line"><a id="l01126" name="l01126"></a><span class="lineno"> 1126</span> }</div>
<div class="line"><a id="l01127" name="l01127"></a><span class="lineno"> 1127</span>}</div>
<div class="line"><a id="l01128" name="l01128"></a><span class="lineno"> 1128</span> </div>
<div class="line"><a id="l01129" name="l01129"></a><span class="lineno"> 1129</span><span class="keywordtype">void</span> LinearProgrammingConstraint::AddMirCuts() {</div>
<div class="line"><a id="l01130" name="l01130"></a><span class="lineno"> 1130</span> <span class="comment">// Heuristic to generate MIR_n cuts by combining a small number of rows. This</span></div>
<div class="line"><a id="l01131" name="l01131"></a><span class="lineno"> 1131</span> <span class="comment">// works greedily and follow more or less the MIR cut description in the</span></div>
<div class="line"><a id="l01132" name="l01132"></a><span class="lineno"> 1132</span> <span class="comment">// literature. We have a current cut, and we add one more row to it while</span></div>
<div class="line"><a id="l01133" name="l01133"></a><span class="lineno"> 1133</span> <span class="comment">// eliminating a variable of the current cut whose LP value is far from its</span></div>
<div class="line"><a id="l01134" name="l01134"></a><span class="lineno"> 1134</span> <span class="comment">// bound.</span></div>
<div class="line"><a id="l01135" name="l01135"></a><span class="lineno"> 1135</span> <span class="comment">//</span></div>
<div class="line"><a id="l01136" name="l01136"></a><span class="lineno"> 1136</span> <span class="comment">// A notable difference is that we randomize the variable we eliminate and</span></div>
<div class="line"><a id="l01137" name="l01137"></a><span class="lineno"> 1137</span> <span class="comment">// the row we use to do so. We still have weights to indicate our preferred</span></div>
<div class="line"><a id="l01138" name="l01138"></a><span class="lineno"> 1138</span> <span class="comment">// choices. This allows to generate different cuts when called again and</span></div>
<div class="line"><a id="l01139" name="l01139"></a><span class="lineno"> 1139</span> <span class="comment">// again.</span></div>
<div class="line"><a id="l01140" name="l01140"></a><span class="lineno"> 1140</span> <span class="comment">//</span></div>
<div class="line"><a id="l01141" name="l01141"></a><span class="lineno"> 1141</span> <span class="comment">// TODO(user): We could combine n rows to make sure we eliminate n variables</span></div>
<div class="line"><a id="l01142" name="l01142"></a><span class="lineno"> 1142</span> <span class="comment">// far away from their bounds by solving exactly in integer small linear</span></div>
<div class="line"><a id="l01143" name="l01143"></a><span class="lineno"> 1143</span> <span class="comment">// system.</span></div>
<div class="line"><a id="l01144" name="l01144"></a><span class="lineno"> 1144</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;ColIndex, IntegerValue&gt;</a> dense_cut(</div>
<div class="line"><a id="l01145" name="l01145"></a><span class="lineno"> 1145</span> integer_variables_.size(), IntegerValue(0));</div>
<div class="line"><a id="l01146" name="l01146"></a><span class="lineno"> 1146</span> SparseBitset&lt;ColIndex&gt; non_zeros_(ColIndex(integer_variables_.size()));</div>
<div class="line"><a id="l01147" name="l01147"></a><span class="lineno"> 1147</span> </div>
<div class="line"><a id="l01148" name="l01148"></a><span class="lineno"> 1148</span> <span class="comment">// We compute all the rows that are tight, these will be used as the base row</span></div>
<div class="line"><a id="l01149" name="l01149"></a><span class="lineno"> 1149</span> <span class="comment">// for the MIR_n procedure below.</span></div>
<div class="line"><a id="l01150" name="l01150"></a><span class="lineno"> 1150</span> <span class="keyword">const</span> RowIndex num_rows = lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#afda9b9b5e858d0c466d2a6293361004a">num_constraints</a>();</div>
<div class="line"><a id="l01151" name="l01151"></a><span class="lineno"> 1151</span> std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt; base_rows;</div>
<div class="line"><a id="l01152" name="l01152"></a><span class="lineno"> 1152</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;RowIndex, double&gt;</a> row_weights(num_rows.value(), 0.0);</div>
<div class="line"><a id="l01153" name="l01153"></a><span class="lineno"> 1153</span> <span class="keywordflow">for</span> (RowIndex <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; num_rows; ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l01154" name="l01154"></a><span class="lineno"> 1154</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">GetConstraintStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l01155" name="l01155"></a><span class="lineno"> 1155</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e">glop::ConstraintStatus::BASIC</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01156" name="l01156"></a><span class="lineno"> 1156</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca88c189a42c87aa49d667fc8ab76bc323">glop::ConstraintStatus::FREE</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01157" name="l01157"></a><span class="lineno"> 1157</span> </div>
<div class="line"><a id="l01158" name="l01158"></a><span class="lineno"> 1158</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca14dc61f52267ea9b476f64c1d4d975b1">glop::ConstraintStatus::AT_UPPER_BOUND</a> ||</div>
<div class="line"><a id="l01159" name="l01159"></a><span class="lineno"> 1159</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501">glop::ConstraintStatus::FIXED_VALUE</a>) {</div>
<div class="line"><a id="l01160" name="l01160"></a><span class="lineno"> 1160</span> base_rows.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, IntegerValue(1)});</div>
<div class="line"><a id="l01161" name="l01161"></a><span class="lineno"> 1161</span> }</div>
<div class="line"><a id="l01162" name="l01162"></a><span class="lineno"> 1162</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca74c506bd3d744fb5c2862229c8f2b6ce">glop::ConstraintStatus::AT_LOWER_BOUND</a> ||</div>
<div class="line"><a id="l01163" name="l01163"></a><span class="lineno"> 1163</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501">glop::ConstraintStatus::FIXED_VALUE</a>) {</div>
<div class="line"><a id="l01164" name="l01164"></a><span class="lineno"> 1164</span> base_rows.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, IntegerValue(-1)});</div>
<div class="line"><a id="l01165" name="l01165"></a><span class="lineno"> 1165</span> }</div>
<div class="line"><a id="l01166" name="l01166"></a><span class="lineno"> 1166</span> </div>
<div class="line"><a id="l01167" name="l01167"></a><span class="lineno"> 1167</span> <span class="comment">// For now, we use the dual values for the row &quot;weights&quot;.</span></div>
<div class="line"><a id="l01168" name="l01168"></a><span class="lineno"> 1168</span> <span class="comment">//</span></div>
<div class="line"><a id="l01169" name="l01169"></a><span class="lineno"> 1169</span> <span class="comment">// Note that we use the dual at LP scale so that it make more sense when we</span></div>
<div class="line"><a id="l01170" name="l01170"></a><span class="lineno"> 1170</span> <span class="comment">// compare different rows since the LP has been scaled.</span></div>
<div class="line"><a id="l01171" name="l01171"></a><span class="lineno"> 1171</span> <span class="comment">//</span></div>
<div class="line"><a id="l01172" name="l01172"></a><span class="lineno"> 1172</span> <span class="comment">// TODO(user): In Kati Wolter PhD &quot;Implementation of Cutting Plane</span></div>
<div class="line"><a id="l01173" name="l01173"></a><span class="lineno"> 1173</span> <span class="comment">// Separators for Mixed Integer Programs&quot; which describe SCIP&#39;s MIR cuts</span></div>
<div class="line"><a id="l01174" name="l01174"></a><span class="lineno"> 1174</span> <span class="comment">// implementation (or at least an early version of it), a more complex score</span></div>
<div class="line"><a id="l01175" name="l01175"></a><span class="lineno"> 1175</span> <span class="comment">// is used.</span></div>
<div class="line"><a id="l01176" name="l01176"></a><span class="lineno"> 1176</span> <span class="comment">//</span></div>
<div class="line"><a id="l01177" name="l01177"></a><span class="lineno"> 1177</span> <span class="comment">// Note(user): Because we only consider tight rows under the current lp</span></div>
<div class="line"><a id="l01178" name="l01178"></a><span class="lineno"> 1178</span> <span class="comment">// solution (i.e. non-basic rows), most should have a non-zero dual values.</span></div>
<div class="line"><a id="l01179" name="l01179"></a><span class="lineno"> 1179</span> <span class="comment">// But there is some degenerate problem where these rows have a really low</span></div>
<div class="line"><a id="l01180" name="l01180"></a><span class="lineno"> 1180</span> <span class="comment">// weight (or even zero), and having only weight of exactly zero in</span></div>
<div class="line"><a id="l01181" name="l01181"></a><span class="lineno"> 1181</span> <span class="comment">// std::discrete_distribution will result in a crash.</span></div>
<div class="line"><a id="l01182" name="l01182"></a><span class="lineno"> 1182</span> row_weights[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(1e-8, std::abs(simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa4c5e551e5a00ff4ae97d8467184221b">GetDualValue</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>)));</div>
<div class="line"><a id="l01183" name="l01183"></a><span class="lineno"> 1183</span> }</div>
<div class="line"><a id="l01184" name="l01184"></a><span class="lineno"> 1184</span> </div>
<div class="line"><a id="l01185" name="l01185"></a><span class="lineno"> 1185</span> std::vector&lt;double&gt; weights;</div>
<div class="line"><a id="l01186" name="l01186"></a><span class="lineno"> 1186</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;RowIndex, bool&gt;</a> used_rows;</div>
<div class="line"><a id="l01187" name="l01187"></a><span class="lineno"> 1187</span> std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt; integer_multipliers;</div>
<div class="line"><a id="l01188" name="l01188"></a><span class="lineno"> 1188</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;RowIndex, IntegerValue&gt;&amp; entry : base_rows) {</div>
<div class="line"><a id="l01189" name="l01189"></a><span class="lineno"> 1189</span> <span class="keywordflow">if</span> (time_limit_-&gt;<a class="code hl_function" href="classoperations__research_1_1_time_limit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">LimitReached</a>()) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01190" name="l01190"></a><span class="lineno"> 1190</span> </div>
<div class="line"><a id="l01191" name="l01191"></a><span class="lineno"> 1191</span> <span class="comment">// First try to generate a cut directly from this base row (MIR1).</span></div>
<div class="line"><a id="l01192" name="l01192"></a><span class="lineno"> 1192</span> <span class="comment">//</span></div>
<div class="line"><a id="l01193" name="l01193"></a><span class="lineno"> 1193</span> <span class="comment">// Note(user): We abort on success like it seems to be done in the</span></div>
<div class="line"><a id="l01194" name="l01194"></a><span class="lineno"> 1194</span> <span class="comment">// literature. Note that we don&#39;t succeed that often in generating an</span></div>
<div class="line"><a id="l01195" name="l01195"></a><span class="lineno"> 1195</span> <span class="comment">// efficient cut, so I am not sure aborting will make a big difference</span></div>
<div class="line"><a id="l01196" name="l01196"></a><span class="lineno"> 1196</span> <span class="comment">// speedwise. We might generate similar cuts though, but hopefully the cut</span></div>
<div class="line"><a id="l01197" name="l01197"></a><span class="lineno"> 1197</span> <span class="comment">// management can deal with that.</span></div>
<div class="line"><a id="l01198" name="l01198"></a><span class="lineno"> 1198</span> integer_multipliers = {entry};</div>
<div class="line"><a id="l01199" name="l01199"></a><span class="lineno"> 1199</span> <span class="keywordflow">if</span> (AddCutFromConstraints(<span class="stringliteral">&quot;MIR_1&quot;</span>, integer_multipliers)) {</div>
<div class="line"><a id="l01200" name="l01200"></a><span class="lineno"> 1200</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01201" name="l01201"></a><span class="lineno"> 1201</span> }</div>
<div class="line"><a id="l01202" name="l01202"></a><span class="lineno"> 1202</span> </div>
<div class="line"><a id="l01203" name="l01203"></a><span class="lineno"> 1203</span> <span class="comment">// Cleanup.</span></div>
<div class="line"><a id="l01204" name="l01204"></a><span class="lineno"> 1204</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_.PositionsSetAtLeastOnce()) {</div>
<div class="line"><a id="l01205" name="l01205"></a><span class="lineno"> 1205</span> dense_cut[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = IntegerValue(0);</div>
<div class="line"><a id="l01206" name="l01206"></a><span class="lineno"> 1206</span> }</div>
<div class="line"><a id="l01207" name="l01207"></a><span class="lineno"> 1207</span> non_zeros_.SparseClearAll();</div>
<div class="line"><a id="l01208" name="l01208"></a><span class="lineno"> 1208</span> </div>
<div class="line"><a id="l01209" name="l01209"></a><span class="lineno"> 1209</span> <span class="comment">// Copy cut.</span></div>
<div class="line"><a id="l01210" name="l01210"></a><span class="lineno"> 1210</span> <span class="keyword">const</span> IntegerValue multiplier = entry.second;</div>
<div class="line"><a id="l01211" name="l01211"></a><span class="lineno"> 1211</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;ColIndex, IntegerValue&gt; term :</div>
<div class="line"><a id="l01212" name="l01212"></a><span class="lineno"> 1212</span> integer_lp_[entry.first].terms) {</div>
<div class="line"><a id="l01213" name="l01213"></a><span class="lineno"> 1213</span> <span class="keyword">const</span> ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = term.first;</div>
<div class="line"><a id="l01214" name="l01214"></a><span class="lineno"> 1214</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = term.second;</div>
<div class="line"><a id="l01215" name="l01215"></a><span class="lineno"> 1215</span> non_zeros_.Set(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l01216" name="l01216"></a><span class="lineno"> 1216</span> dense_cut[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] += <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> * multiplier;</div>
<div class="line"><a id="l01217" name="l01217"></a><span class="lineno"> 1217</span> }</div>
<div class="line"><a id="l01218" name="l01218"></a><span class="lineno"> 1218</span> </div>
<div class="line"><a id="l01219" name="l01219"></a><span class="lineno"> 1219</span> used_rows.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">assign</a>(num_rows.value(), <span class="keyword">false</span>);</div>
<div class="line"><a id="l01220" name="l01220"></a><span class="lineno"> 1220</span> used_rows[entry.first] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01221" name="l01221"></a><span class="lineno"> 1221</span> </div>
<div class="line"><a id="l01222" name="l01222"></a><span class="lineno"> 1222</span> <span class="comment">// We will aggregate at most kMaxAggregation more rows.</span></div>
<div class="line"><a id="l01223" name="l01223"></a><span class="lineno"> 1223</span> <span class="comment">//</span></div>
<div class="line"><a id="l01224" name="l01224"></a><span class="lineno"> 1224</span> <span class="comment">// TODO(user): optim + tune.</span></div>
<div class="line"><a id="l01225" name="l01225"></a><span class="lineno"> 1225</span> <span class="keyword">const</span> <span class="keywordtype">int</span> kMaxAggregation = 5;</div>
<div class="line"><a id="l01226" name="l01226"></a><span class="lineno"> 1226</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; kMaxAggregation; ++i) {</div>
<div class="line"><a id="l01227" name="l01227"></a><span class="lineno"> 1227</span> <span class="comment">// First pick a variable to eliminate. We currently pick a random one with</span></div>
<div class="line"><a id="l01228" name="l01228"></a><span class="lineno"> 1228</span> <span class="comment">// a weight that depend on how far it is from its closest bound.</span></div>
<div class="line"><a id="l01229" name="l01229"></a><span class="lineno"> 1229</span> IntegerValue max_magnitude(0);</div>
<div class="line"><a id="l01230" name="l01230"></a><span class="lineno"> 1230</span> weights.clear();</div>
<div class="line"><a id="l01231" name="l01231"></a><span class="lineno"> 1231</span> std::vector&lt;ColIndex&gt; col_candidates;</div>
<div class="line"><a id="l01232" name="l01232"></a><span class="lineno"> 1232</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_.PositionsSetAtLeastOnce()) {</div>
<div class="line"><a id="l01233" name="l01233"></a><span class="lineno"> 1233</span> <span class="keywordflow">if</span> (dense_cut[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01234" name="l01234"></a><span class="lineno"> 1234</span> </div>
<div class="line"><a id="l01235" name="l01235"></a><span class="lineno"> 1235</span> max_magnitude = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(max_magnitude, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(dense_cut[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]));</div>
<div class="line"><a id="l01236" name="l01236"></a><span class="lineno"> 1236</span> <span class="keyword">const</span> <span class="keywordtype">int</span> col_degree =</div>
<div class="line"><a id="l01237" name="l01237"></a><span class="lineno"> 1237</span> lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aeeee0971281f2781c379fce7a64a5049">GetSparseColumn</a>(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).<a class="code hl_function" href="classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>().value();</div>
<div class="line"><a id="l01238" name="l01238"></a><span class="lineno"> 1238</span> <span class="keywordflow">if</span> (col_degree &lt;= 1) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01239" name="l01239"></a><span class="lineno"> 1239</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a4802169fde637478bebd1b420eec8ff8">GetVariableStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) != <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358ae4ac03f6c9f00665644e868dd1fb9f1e">glop::VariableStatus::BASIC</a>) {</div>
<div class="line"><a id="l01240" name="l01240"></a><span class="lineno"> 1240</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01241" name="l01241"></a><span class="lineno"> 1241</span> }</div>
<div class="line"><a id="l01242" name="l01242"></a><span class="lineno"> 1242</span> </div>
<div class="line"><a id="l01243" name="l01243"></a><span class="lineno"> 1243</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>.value()];</div>
<div class="line"><a id="l01244" name="l01244"></a><span class="lineno"> 1244</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lp_value = expanded_lp_solution_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</div>
<div class="line"><a id="l01245" name="l01245"></a><span class="lineno"> 1245</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01246" name="l01246"></a><span class="lineno"> 1246</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01247" name="l01247"></a><span class="lineno"> 1247</span> <span class="keyword">const</span> <span class="keywordtype">double</span> bound_distance = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(ub - lp_value, lp_value - lb);</div>
<div class="line"><a id="l01248" name="l01248"></a><span class="lineno"> 1248</span> <span class="keywordflow">if</span> (bound_distance &gt; 1e-2) {</div>
<div class="line"><a id="l01249" name="l01249"></a><span class="lineno"> 1249</span> weights.push_back(bound_distance);</div>
<div class="line"><a id="l01250" name="l01250"></a><span class="lineno"> 1250</span> col_candidates.push_back(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l01251" name="l01251"></a><span class="lineno"> 1251</span> }</div>
<div class="line"><a id="l01252" name="l01252"></a><span class="lineno"> 1252</span> }</div>
<div class="line"><a id="l01253" name="l01253"></a><span class="lineno"> 1253</span> <span class="keywordflow">if</span> (col_candidates.empty()) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01254" name="l01254"></a><span class="lineno"> 1254</span> </div>
<div class="line"><a id="l01255" name="l01255"></a><span class="lineno"> 1255</span> <span class="keyword">const</span> ColIndex var_to_eliminate =</div>
<div class="line"><a id="l01256" name="l01256"></a><span class="lineno"> 1256</span> col_candidates[std::discrete_distribution&lt;&gt;(weights.begin(),</div>
<div class="line"><a id="l01257" name="l01257"></a><span class="lineno"> 1257</span> weights.end())(*random_)];</div>
<div class="line"><a id="l01258" name="l01258"></a><span class="lineno"> 1258</span> </div>
<div class="line"><a id="l01259" name="l01259"></a><span class="lineno"> 1259</span> <span class="comment">// What rows can we add to eliminate var_to_eliminate?</span></div>
<div class="line"><a id="l01260" name="l01260"></a><span class="lineno"> 1260</span> std::vector&lt;RowIndex&gt; possible_rows;</div>
<div class="line"><a id="l01261" name="l01261"></a><span class="lineno"> 1261</span> weights.clear();</div>
<div class="line"><a id="l01262" name="l01262"></a><span class="lineno"> 1262</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aeeee0971281f2781c379fce7a64a5049">GetSparseColumn</a>(var_to_eliminate)) {</div>
<div class="line"><a id="l01263" name="l01263"></a><span class="lineno"> 1263</span> <span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = entry.row();</div>
<div class="line"><a id="l01264" name="l01264"></a><span class="lineno"> 1264</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">GetConstraintStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l01265" name="l01265"></a><span class="lineno"> 1265</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e">glop::ConstraintStatus::BASIC</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01266" name="l01266"></a><span class="lineno"> 1266</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca88c189a42c87aa49d667fc8ab76bc323">glop::ConstraintStatus::FREE</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01267" name="l01267"></a><span class="lineno"> 1267</span> </div>
<div class="line"><a id="l01268" name="l01268"></a><span class="lineno"> 1268</span> <span class="comment">// We disallow all the rows that contain a variable that we already</span></div>
<div class="line"><a id="l01269" name="l01269"></a><span class="lineno"> 1269</span> <span class="comment">// eliminated (or are about to). This mean that we choose rows that</span></div>
<div class="line"><a id="l01270" name="l01270"></a><span class="lineno"> 1270</span> <span class="comment">// form a &quot;triangular&quot; matrix on the position we choose to eliminate.</span></div>
<div class="line"><a id="l01271" name="l01271"></a><span class="lineno"> 1271</span> <span class="keywordflow">if</span> (used_rows[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01272" name="l01272"></a><span class="lineno"> 1272</span> used_rows[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01273" name="l01273"></a><span class="lineno"> 1273</span> </div>
<div class="line"><a id="l01274" name="l01274"></a><span class="lineno"> 1274</span> <span class="comment">// TODO(user): Instead of using FIXED_VALUE consider also both direction</span></div>
<div class="line"><a id="l01275" name="l01275"></a><span class="lineno"> 1275</span> <span class="comment">// when we almost have an equality? that is if the LP constraints bounds</span></div>
<div class="line"><a id="l01276" name="l01276"></a><span class="lineno"> 1276</span> <span class="comment">// are close from each others (&lt;1e-6 ?). Initial experiments shows it</span></div>
<div class="line"><a id="l01277" name="l01277"></a><span class="lineno"> 1277</span> <span class="comment">// doesn&#39;t change much, so I kept this version for now. Note that it</span></div>
<div class="line"><a id="l01278" name="l01278"></a><span class="lineno"> 1278</span> <span class="comment">// might just be better to use the side that constrain the current lp</span></div>
<div class="line"><a id="l01279" name="l01279"></a><span class="lineno"> 1279</span> <span class="comment">// optimal solution (that we get from the status).</span></div>
<div class="line"><a id="l01280" name="l01280"></a><span class="lineno"> 1280</span> <span class="keywordtype">bool</span> add_row = <span class="keyword">false</span>;</div>
<div class="line"><a id="l01281" name="l01281"></a><span class="lineno"> 1281</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501">glop::ConstraintStatus::FIXED_VALUE</a> ||</div>
<div class="line"><a id="l01282" name="l01282"></a><span class="lineno"> 1282</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca14dc61f52267ea9b476f64c1d4d975b1">glop::ConstraintStatus::AT_UPPER_BOUND</a>) {</div>
<div class="line"><a id="l01283" name="l01283"></a><span class="lineno"> 1283</span> <span class="keywordflow">if</span> (entry.coefficient() &gt; 0.0) {</div>
<div class="line"><a id="l01284" name="l01284"></a><span class="lineno"> 1284</span> <span class="keywordflow">if</span> (dense_cut[var_to_eliminate] &lt; 0) add_row = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01285" name="l01285"></a><span class="lineno"> 1285</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01286" name="l01286"></a><span class="lineno"> 1286</span> <span class="keywordflow">if</span> (dense_cut[var_to_eliminate] &gt; 0) add_row = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01287" name="l01287"></a><span class="lineno"> 1287</span> }</div>
<div class="line"><a id="l01288" name="l01288"></a><span class="lineno"> 1288</span> }</div>
<div class="line"><a id="l01289" name="l01289"></a><span class="lineno"> 1289</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501">glop::ConstraintStatus::FIXED_VALUE</a> ||</div>
<div class="line"><a id="l01290" name="l01290"></a><span class="lineno"> 1290</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca74c506bd3d744fb5c2862229c8f2b6ce">glop::ConstraintStatus::AT_LOWER_BOUND</a>) {</div>
<div class="line"><a id="l01291" name="l01291"></a><span class="lineno"> 1291</span> <span class="keywordflow">if</span> (entry.coefficient() &gt; 0.0) {</div>
<div class="line"><a id="l01292" name="l01292"></a><span class="lineno"> 1292</span> <span class="keywordflow">if</span> (dense_cut[var_to_eliminate] &gt; 0) add_row = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01293" name="l01293"></a><span class="lineno"> 1293</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01294" name="l01294"></a><span class="lineno"> 1294</span> <span class="keywordflow">if</span> (dense_cut[var_to_eliminate] &lt; 0) add_row = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01295" name="l01295"></a><span class="lineno"> 1295</span> }</div>
<div class="line"><a id="l01296" name="l01296"></a><span class="lineno"> 1296</span> }</div>
<div class="line"><a id="l01297" name="l01297"></a><span class="lineno"> 1297</span> <span class="keywordflow">if</span> (add_row) {</div>
<div class="line"><a id="l01298" name="l01298"></a><span class="lineno"> 1298</span> possible_rows.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l01299" name="l01299"></a><span class="lineno"> 1299</span> weights.push_back(row_weights[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
<div class="line"><a id="l01300" name="l01300"></a><span class="lineno"> 1300</span> }</div>
<div class="line"><a id="l01301" name="l01301"></a><span class="lineno"> 1301</span> }</div>
<div class="line"><a id="l01302" name="l01302"></a><span class="lineno"> 1302</span> <span class="keywordflow">if</span> (possible_rows.empty()) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01303" name="l01303"></a><span class="lineno"> 1303</span> </div>
<div class="line"><a id="l01304" name="l01304"></a><span class="lineno"> 1304</span> <span class="keyword">const</span> RowIndex row_to_combine =</div>
<div class="line"><a id="l01305" name="l01305"></a><span class="lineno"> 1305</span> possible_rows[std::discrete_distribution&lt;&gt;(weights.begin(),</div>
<div class="line"><a id="l01306" name="l01306"></a><span class="lineno"> 1306</span> weights.end())(*random_)];</div>
<div class="line"><a id="l01307" name="l01307"></a><span class="lineno"> 1307</span> <span class="keyword">const</span> IntegerValue to_combine_coeff =</div>
<div class="line"><a id="l01308" name="l01308"></a><span class="lineno"> 1308</span> GetCoeff(var_to_eliminate, integer_lp_[row_to_combine].terms);</div>
<div class="line"><a id="l01309" name="l01309"></a><span class="lineno"> 1309</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(to_combine_coeff, 0);</div>
<div class="line"><a id="l01310" name="l01310"></a><span class="lineno"> 1310</span> </div>
<div class="line"><a id="l01311" name="l01311"></a><span class="lineno"> 1311</span> IntegerValue mult1 = -to_combine_coeff;</div>
<div class="line"><a id="l01312" name="l01312"></a><span class="lineno"> 1312</span> IntegerValue mult2 = dense_cut[var_to_eliminate];</div>
<div class="line"><a id="l01313" name="l01313"></a><span class="lineno"> 1313</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(mult2, 0);</div>
<div class="line"><a id="l01314" name="l01314"></a><span class="lineno"> 1314</span> <span class="keywordflow">if</span> (mult1 &lt; 0) {</div>
<div class="line"><a id="l01315" name="l01315"></a><span class="lineno"> 1315</span> mult1 = -mult1;</div>
<div class="line"><a id="l01316" name="l01316"></a><span class="lineno"> 1316</span> mult2 = -mult2;</div>
<div class="line"><a id="l01317" name="l01317"></a><span class="lineno"> 1317</span> }</div>
<div class="line"><a id="l01318" name="l01318"></a><span class="lineno"> 1318</span> </div>
<div class="line"><a id="l01319" name="l01319"></a><span class="lineno"> 1319</span> <span class="keyword">const</span> IntegerValue gcd = IntegerValue(</div>
<div class="line"><a id="l01320" name="l01320"></a><span class="lineno"> 1320</span> <a class="code hl_function" href="classoperations__research_1_1_math_util.html#ae94db7b2fa1d8e1b3c1dc6c683191609">MathUtil::GCD64</a>(std::abs(mult1.value()), std::abs(mult2.value())));</div>
<div class="line"><a id="l01321" name="l01321"></a><span class="lineno"> 1321</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(gcd, 0);</div>
<div class="line"><a id="l01322" name="l01322"></a><span class="lineno"> 1322</span> mult1 /= gcd;</div>
<div class="line"><a id="l01323" name="l01323"></a><span class="lineno"> 1323</span> mult2 /= gcd;</div>
<div class="line"><a id="l01324" name="l01324"></a><span class="lineno"> 1324</span> </div>
<div class="line"><a id="l01325" name="l01325"></a><span class="lineno"> 1325</span> <span class="comment">// Overflow detection.</span></div>
<div class="line"><a id="l01326" name="l01326"></a><span class="lineno"> 1326</span> <span class="comment">//</span></div>
<div class="line"><a id="l01327" name="l01327"></a><span class="lineno"> 1327</span> <span class="comment">// TODO(user): do that in the possible_rows selection? only problem is</span></div>
<div class="line"><a id="l01328" name="l01328"></a><span class="lineno"> 1328</span> <span class="comment">// that we do not have the integer coefficient there...</span></div>
<div class="line"><a id="l01329" name="l01329"></a><span class="lineno"> 1329</span> <span class="keywordflow">for</span> (std::pair&lt;RowIndex, IntegerValue&gt;&amp; entry : integer_multipliers) {</div>
<div class="line"><a id="l01330" name="l01330"></a><span class="lineno"> 1330</span> max_magnitude = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(max_magnitude, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(entry.second));</div>
<div class="line"><a id="l01331" name="l01331"></a><span class="lineno"> 1331</span> }</div>
<div class="line"><a id="l01332" name="l01332"></a><span class="lineno"> 1332</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(<a class="code hl_function" href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">CapProd</a>(max_magnitude.value(), std::abs(mult1.value())),</div>
<div class="line"><a id="l01333" name="l01333"></a><span class="lineno"> 1333</span> <a class="code hl_function" href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">CapProd</a>(infinity_norms_[row_to_combine].<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>(),</div>
<div class="line"><a id="l01334" name="l01334"></a><span class="lineno"> 1334</span> std::abs(mult2.value()))) ==</div>
<div class="line"><a id="l01335" name="l01335"></a><span class="lineno"> 1335</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>()) {</div>
<div class="line"><a id="l01336" name="l01336"></a><span class="lineno"> 1336</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01337" name="l01337"></a><span class="lineno"> 1337</span> }</div>
<div class="line"><a id="l01338" name="l01338"></a><span class="lineno"> 1338</span> </div>
<div class="line"><a id="l01339" name="l01339"></a><span class="lineno"> 1339</span> <span class="keywordflow">for</span> (std::pair&lt;RowIndex, IntegerValue&gt;&amp; entry : integer_multipliers) {</div>
<div class="line"><a id="l01340" name="l01340"></a><span class="lineno"> 1340</span> entry.second *= mult1;</div>
<div class="line"><a id="l01341" name="l01341"></a><span class="lineno"> 1341</span> }</div>
<div class="line"><a id="l01342" name="l01342"></a><span class="lineno"> 1342</span> integer_multipliers.push_back({row_to_combine, mult2});</div>
<div class="line"><a id="l01343" name="l01343"></a><span class="lineno"> 1343</span> </div>
<div class="line"><a id="l01344" name="l01344"></a><span class="lineno"> 1344</span> <span class="comment">// TODO(user): Not supper efficient to recombine the rows.</span></div>
<div class="line"><a id="l01345" name="l01345"></a><span class="lineno"> 1345</span> <span class="keywordflow">if</span> (AddCutFromConstraints(absl::StrCat(<span class="stringliteral">&quot;MIR_&quot;</span>, i + 2),</div>
<div class="line"><a id="l01346" name="l01346"></a><span class="lineno"> 1346</span> integer_multipliers)) {</div>
<div class="line"><a id="l01347" name="l01347"></a><span class="lineno"> 1347</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01348" name="l01348"></a><span class="lineno"> 1348</span> }</div>
<div class="line"><a id="l01349" name="l01349"></a><span class="lineno"> 1349</span> </div>
<div class="line"><a id="l01350" name="l01350"></a><span class="lineno"> 1350</span> <span class="comment">// Minor optim: the computation below is only needed if we do one more</span></div>
<div class="line"><a id="l01351" name="l01351"></a><span class="lineno"> 1351</span> <span class="comment">// iteration.</span></div>
<div class="line"><a id="l01352" name="l01352"></a><span class="lineno"> 1352</span> <span class="keywordflow">if</span> (i + 1 == kMaxAggregation) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01353" name="l01353"></a><span class="lineno"> 1353</span> </div>
<div class="line"><a id="l01354" name="l01354"></a><span class="lineno"> 1354</span> <span class="keywordflow">for</span> (ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> : non_zeros_.PositionsSetAtLeastOnce()) {</div>
<div class="line"><a id="l01355" name="l01355"></a><span class="lineno"> 1355</span> dense_cut[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] *= mult1;</div>
<div class="line"><a id="l01356" name="l01356"></a><span class="lineno"> 1356</span> }</div>
<div class="line"><a id="l01357" name="l01357"></a><span class="lineno"> 1357</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;ColIndex, IntegerValue&gt; term :</div>
<div class="line"><a id="l01358" name="l01358"></a><span class="lineno"> 1358</span> integer_lp_[row_to_combine].terms) {</div>
<div class="line"><a id="l01359" name="l01359"></a><span class="lineno"> 1359</span> <span class="keyword">const</span> ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = term.first;</div>
<div class="line"><a id="l01360" name="l01360"></a><span class="lineno"> 1360</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = term.second;</div>
<div class="line"><a id="l01361" name="l01361"></a><span class="lineno"> 1361</span> non_zeros_.Set(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l01362" name="l01362"></a><span class="lineno"> 1362</span> dense_cut[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] += <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> * mult2;</div>
<div class="line"><a id="l01363" name="l01363"></a><span class="lineno"> 1363</span> }</div>
<div class="line"><a id="l01364" name="l01364"></a><span class="lineno"> 1364</span> }</div>
<div class="line"><a id="l01365" name="l01365"></a><span class="lineno"> 1365</span> }</div>
<div class="line"><a id="l01366" name="l01366"></a><span class="lineno"> 1366</span>}</div>
<div class="line"><a id="l01367" name="l01367"></a><span class="lineno"> 1367</span> </div>
<div class="line"><a id="l01368" name="l01368"></a><span class="lineno"> 1368</span><span class="keywordtype">void</span> LinearProgrammingConstraint::AddZeroHalfCuts() {</div>
<div class="line"><a id="l01369" name="l01369"></a><span class="lineno"> 1369</span> <span class="keywordflow">if</span> (time_limit_-&gt;<a class="code hl_function" href="classoperations__research_1_1_time_limit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">LimitReached</a>()) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01370" name="l01370"></a><span class="lineno"> 1370</span> </div>
<div class="line"><a id="l01371" name="l01371"></a><span class="lineno"> 1371</span> tmp_lp_values_.clear();</div>
<div class="line"><a id="l01372" name="l01372"></a><span class="lineno"> 1372</span> tmp_var_lbs_.clear();</div>
<div class="line"><a id="l01373" name="l01373"></a><span class="lineno"> 1373</span> tmp_var_ubs_.clear();</div>
<div class="line"><a id="l01374" name="l01374"></a><span class="lineno"> 1374</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : integer_variables_) {</div>
<div class="line"><a id="l01375" name="l01375"></a><span class="lineno"> 1375</span> tmp_lp_values_.push_back(expanded_lp_solution_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>]);</div>
<div class="line"><a id="l01376" name="l01376"></a><span class="lineno"> 1376</span> tmp_var_lbs_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01377" name="l01377"></a><span class="lineno"> 1377</span> tmp_var_ubs_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01378" name="l01378"></a><span class="lineno"> 1378</span> }</div>
<div class="line"><a id="l01379" name="l01379"></a><span class="lineno"> 1379</span> </div>
<div class="line"><a id="l01380" name="l01380"></a><span class="lineno"> 1380</span> <span class="comment">// TODO(user): See if it make sense to try to use implied bounds there.</span></div>
<div class="line"><a id="l01381" name="l01381"></a><span class="lineno"> 1381</span> zero_half_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a329f7f126c4f5e81cae82065d7fb96d0">ProcessVariables</a>(tmp_lp_values_, tmp_var_lbs_,</div>
<div class="line"><a id="l01382" name="l01382"></a><span class="lineno"> 1382</span> tmp_var_ubs_);</div>
<div class="line"><a id="l01383" name="l01383"></a><span class="lineno"> 1383</span> <span class="keywordflow">for</span> (glop::RowIndex <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; integer_lp_.size(); ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l01384" name="l01384"></a><span class="lineno"> 1384</span> <span class="comment">// Even though we could use non-tight row, for now we prefer to use tight</span></div>
<div class="line"><a id="l01385" name="l01385"></a><span class="lineno"> 1385</span> <span class="comment">// ones.</span></div>
<div class="line"><a id="l01386" name="l01386"></a><span class="lineno"> 1386</span> <span class="keyword">const</span> <span class="keyword">auto</span> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">GetConstraintStatus</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l01387" name="l01387"></a><span class="lineno"> 1387</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e">glop::ConstraintStatus::BASIC</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01388" name="l01388"></a><span class="lineno"> 1388</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca88c189a42c87aa49d667fc8ab76bc323">glop::ConstraintStatus::FREE</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01389" name="l01389"></a><span class="lineno"> 1389</span> </div>
<div class="line"><a id="l01390" name="l01390"></a><span class="lineno"> 1390</span> zero_half_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#a5ee01a4c637125095a16a5c23bd227a3">AddOneConstraint</a>(</div>
<div class="line"><a id="l01391" name="l01391"></a><span class="lineno"> 1391</span> <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].terms, integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb, integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub);</div>
<div class="line"><a id="l01392" name="l01392"></a><span class="lineno"> 1392</span> }</div>
<div class="line"><a id="l01393" name="l01393"></a><span class="lineno"> 1393</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt;&amp; multipliers :</div>
<div class="line"><a id="l01394" name="l01394"></a><span class="lineno"> 1394</span> zero_half_cut_helper_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_zero_half_cut_helper.html#af7012dee6abfab160a910241b61e1b1d">InterestingCandidates</a>(random_)) {</div>
<div class="line"><a id="l01395" name="l01395"></a><span class="lineno"> 1395</span> <span class="keywordflow">if</span> (time_limit_-&gt;<a class="code hl_function" href="classoperations__research_1_1_time_limit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">LimitReached</a>()) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01396" name="l01396"></a><span class="lineno"> 1396</span> </div>
<div class="line"><a id="l01397" name="l01397"></a><span class="lineno"> 1397</span> <span class="comment">// TODO(user): Make sure that if the resulting linear coefficients are not</span></div>
<div class="line"><a id="l01398" name="l01398"></a><span class="lineno"> 1398</span> <span class="comment">// too high, we do try a &quot;divisor&quot; of two and thus try a true zero-half cut</span></div>
<div class="line"><a id="l01399" name="l01399"></a><span class="lineno"> 1399</span> <span class="comment">// instead of just using our best MIR heuristic (which might still be better</span></div>
<div class="line"><a id="l01400" name="l01400"></a><span class="lineno"> 1400</span> <span class="comment">// though).</span></div>
<div class="line"><a id="l01401" name="l01401"></a><span class="lineno"> 1401</span> AddCutFromConstraints(<span class="stringliteral">&quot;ZERO_HALF&quot;</span>, multipliers);</div>
<div class="line"><a id="l01402" name="l01402"></a><span class="lineno"> 1402</span> }</div>
<div class="line"><a id="l01403" name="l01403"></a><span class="lineno"> 1403</span>}</div>
<div class="line"><a id="l01404" name="l01404"></a><span class="lineno"> 1404</span> </div>
<div class="line"><a id="l01405" name="l01405"></a><span class="lineno"> 1405</span><span class="keywordtype">void</span> LinearProgrammingConstraint::UpdateSimplexIterationLimit(</div>
<div class="line"><a id="l01406" name="l01406"></a><span class="lineno"> 1406</span> <span class="keyword">const</span> int64_t min_iter, <span class="keyword">const</span> int64_t max_iter) {</div>
<div class="line"><a id="l01407" name="l01407"></a><span class="lineno"> 1407</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a067f8d5ca3f3a7b4e01e47d6d07f08b1">linearization_level</a>() &lt; 2) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01408" name="l01408"></a><span class="lineno"> 1408</span> <span class="keyword">const</span> int64_t num_degenerate_columns = CalculateDegeneracy();</div>
<div class="line"><a id="l01409" name="l01409"></a><span class="lineno"> 1409</span> <span class="keyword">const</span> int64_t num_cols = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac226833fbf53fdb3fb7b6ef9d89a0e4c">GetProblemNumCols</a>().value();</div>
<div class="line"><a id="l01410" name="l01410"></a><span class="lineno"> 1410</span> <span class="keywordflow">if</span> (num_cols &lt;= 0) {</div>
<div class="line"><a id="l01411" name="l01411"></a><span class="lineno"> 1411</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01412" name="l01412"></a><span class="lineno"> 1412</span> }</div>
<div class="line"><a id="l01413" name="l01413"></a><span class="lineno"> 1413</span> <a class="code hl_define" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(num_cols, 0);</div>
<div class="line"><a id="l01414" name="l01414"></a><span class="lineno"> 1414</span> <span class="keyword">const</span> int64_t decrease_factor = (10 * num_degenerate_columns) / num_cols;</div>
<div class="line"><a id="l01415" name="l01415"></a><span class="lineno"> 1415</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa">glop::ProblemStatus::DUAL_FEASIBLE</a>) {</div>
<div class="line"><a id="l01416" name="l01416"></a><span class="lineno"> 1416</span> <span class="comment">// We reached here probably because we predicted wrong. We use this as a</span></div>
<div class="line"><a id="l01417" name="l01417"></a><span class="lineno"> 1417</span> <span class="comment">// signal to increase the iterations or punish less for degeneracy compare</span></div>
<div class="line"><a id="l01418" name="l01418"></a><span class="lineno"> 1418</span> <span class="comment">// to the other part.</span></div>
<div class="line"><a id="l01419" name="l01419"></a><span class="lineno"> 1419</span> <span class="keywordflow">if</span> (is_degenerate_) {</div>
<div class="line"><a id="l01420" name="l01420"></a><span class="lineno"> 1420</span> next_simplex_iter_ /= <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(int64_t{1}, decrease_factor);</div>
<div class="line"><a id="l01421" name="l01421"></a><span class="lineno"> 1421</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01422" name="l01422"></a><span class="lineno"> 1422</span> next_simplex_iter_ *= 2;</div>
<div class="line"><a id="l01423" name="l01423"></a><span class="lineno"> 1423</span> }</div>
<div class="line"><a id="l01424" name="l01424"></a><span class="lineno"> 1424</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a>) {</div>
<div class="line"><a id="l01425" name="l01425"></a><span class="lineno"> 1425</span> <span class="keywordflow">if</span> (is_degenerate_) {</div>
<div class="line"><a id="l01426" name="l01426"></a><span class="lineno"> 1426</span> next_simplex_iter_ /= <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(int64_t{1}, 2 * decrease_factor);</div>
<div class="line"><a id="l01427" name="l01427"></a><span class="lineno"> 1427</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01428" name="l01428"></a><span class="lineno"> 1428</span> <span class="comment">// This is the most common case. We use the size of the problem to</span></div>
<div class="line"><a id="l01429" name="l01429"></a><span class="lineno"> 1429</span> <span class="comment">// determine the limit and ignore the previous limit.</span></div>
<div class="line"><a id="l01430" name="l01430"></a><span class="lineno"> 1430</span> next_simplex_iter_ = num_cols / 40;</div>
<div class="line"><a id="l01431" name="l01431"></a><span class="lineno"> 1431</span> }</div>
<div class="line"><a id="l01432" name="l01432"></a><span class="lineno"> 1432</span> }</div>
<div class="line"><a id="l01433" name="l01433"></a><span class="lineno"> 1433</span> next_simplex_iter_ =</div>
<div class="line"><a id="l01434" name="l01434"></a><span class="lineno"> 1434</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(min_iter, <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(max_iter, next_simplex_iter_));</div>
<div class="line"><a id="l01435" name="l01435"></a><span class="lineno"> 1435</span>}</div>
<div class="line"><a id="l01436" name="l01436"></a><span class="lineno"> 1436</span> </div>
<div class="line"><a id="l01437" name="l01437"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a0010273383670a7c67b3b8f2660aa06b"> 1437</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a0010273383670a7c67b3b8f2660aa06b">LinearProgrammingConstraint::Propagate</a>() {</div>
<div class="line"><a id="l01438" name="l01438"></a><span class="lineno"> 1438</span> UpdateBoundsOfLpVariables();</div>
<div class="line"><a id="l01439" name="l01439"></a><span class="lineno"> 1439</span> </div>
<div class="line"><a id="l01440" name="l01440"></a><span class="lineno"> 1440</span> <span class="comment">// TODO(user): It seems the time we loose by not stopping early might be worth</span></div>
<div class="line"><a id="l01441" name="l01441"></a><span class="lineno"> 1441</span> <span class="comment">// it because we end up with a better explanation at optimality.</span></div>
<div class="line"><a id="l01442" name="l01442"></a><span class="lineno"> 1442</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_glop_parameters.html">glop::GlopParameters</a> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a01f64f8af66c6c5a66d3b4ebc868cab6">GetParameters</a>();</div>
<div class="line"><a id="l01443" name="l01443"></a><span class="lineno"> 1443</span> <span class="keywordflow">if</span> (<span class="comment">/* DISABLES CODE */</span> (<span class="keyword">false</span>) &amp;&amp; objective_is_defined_) {</div>
<div class="line"><a id="l01444" name="l01444"></a><span class="lineno"> 1444</span> <span class="comment">// We put a limit on the dual objective since there is no point increasing</span></div>
<div class="line"><a id="l01445" name="l01445"></a><span class="lineno"> 1445</span> <span class="comment">// it past our current objective upper-bound (we will already fail as soon</span></div>
<div class="line"><a id="l01446" name="l01446"></a><span class="lineno"> 1446</span> <span class="comment">// as we pass it). Note that this limit is properly transformed using the</span></div>
<div class="line"><a id="l01447" name="l01447"></a><span class="lineno"> 1447</span> <span class="comment">// objective scaling factor and offset stored in lp_data_.</span></div>
<div class="line"><a id="l01448" name="l01448"></a><span class="lineno"> 1448</span> <span class="comment">//</span></div>
<div class="line"><a id="l01449" name="l01449"></a><span class="lineno"> 1449</span> <span class="comment">// Note that we use a bigger epsilon here to be sure that if we abort</span></div>
<div class="line"><a id="l01450" name="l01450"></a><span class="lineno"> 1450</span> <span class="comment">// because of this, we will report a conflict.</span></div>
<div class="line"><a id="l01451" name="l01451"></a><span class="lineno"> 1451</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_objective_upper_limit(</div>
<div class="line"><a id="l01452" name="l01452"></a><span class="lineno"> 1452</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(objective_cp_).value() +</div>
<div class="line"><a id="l01453" name="l01453"></a><span class="lineno"> 1453</span> 100.0 * kCpEpsilon));</div>
<div class="line"><a id="l01454" name="l01454"></a><span class="lineno"> 1454</span> }</div>
<div class="line"><a id="l01455" name="l01455"></a><span class="lineno"> 1455</span> </div>
<div class="line"><a id="l01456" name="l01456"></a><span class="lineno"> 1456</span> <span class="comment">// Put an iteration limit on the work we do in the simplex for this call. Note</span></div>
<div class="line"><a id="l01457" name="l01457"></a><span class="lineno"> 1457</span> <span class="comment">// that because we are &quot;incremental&quot;, even if we don&#39;t solve it this time we</span></div>
<div class="line"><a id="l01458" name="l01458"></a><span class="lineno"> 1458</span> <span class="comment">// will make progress towards a solve in the lower node of the tree search.</span></div>
<div class="line"><a id="l01459" name="l01459"></a><span class="lineno"> 1459</span> <span class="keywordflow">if</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0) {</div>
<div class="line"><a id="l01460" name="l01460"></a><span class="lineno"> 1460</span> <span class="comment">// TODO(user): Dynamically change the iteration limit for root node as</span></div>
<div class="line"><a id="l01461" name="l01461"></a><span class="lineno"> 1461</span> <span class="comment">// well.</span></div>
<div class="line"><a id="l01462" name="l01462"></a><span class="lineno"> 1462</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_max_number_of_iterations(2000);</div>
<div class="line"><a id="l01463" name="l01463"></a><span class="lineno"> 1463</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01464" name="l01464"></a><span class="lineno"> 1464</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_max_number_of_iterations(next_simplex_iter_);</div>
<div class="line"><a id="l01465" name="l01465"></a><span class="lineno"> 1465</span> }</div>
<div class="line"><a id="l01466" name="l01466"></a><span class="lineno"> 1466</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#abca1c416bcecfd0da9c5260df13f5c4f">use_exact_lp_reason</a>()) {</div>
<div class="line"><a id="l01467" name="l01467"></a><span class="lineno"> 1467</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_change_status_to_imprecise(<span class="keyword">false</span>);</div>
<div class="line"><a id="l01468" name="l01468"></a><span class="lineno"> 1468</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_primal_feasibility_tolerance(1e-7);</div>
<div class="line"><a id="l01469" name="l01469"></a><span class="lineno"> 1469</span> <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>.set_dual_feasibility_tolerance(1e-7);</div>
<div class="line"><a id="l01470" name="l01470"></a><span class="lineno"> 1470</span> }</div>
<div class="line"><a id="l01471" name="l01471"></a><span class="lineno"> 1471</span> </div>
<div class="line"><a id="l01472" name="l01472"></a><span class="lineno"> 1472</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ae7202d055b6b172a8a1da4f5b136f9ea">SetParameters</a>(<a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>);</div>
<div class="line"><a id="l01473" name="l01473"></a><span class="lineno"> 1473</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa637d435b14a562f8203eb808add5399">NotifyThatMatrixIsUnchangedForNextSolve</a>();</div>
<div class="line"><a id="l01474" name="l01474"></a><span class="lineno"> 1474</span> <span class="keywordflow">if</span> (!SolveLp()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01475" name="l01475"></a><span class="lineno"> 1475</span> </div>
<div class="line"><a id="l01476" name="l01476"></a><span class="lineno"> 1476</span> <span class="comment">// Add new constraints to the LP and resolve?</span></div>
<div class="line"><a id="l01477" name="l01477"></a><span class="lineno"> 1477</span> <span class="keyword">const</span> <span class="keywordtype">int</span> max_cuts_rounds =</div>
<div class="line"><a id="l01478" name="l01478"></a><span class="lineno"> 1478</span> parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a4c13e74135856e16be00134057fb3aa1">cut_level</a>() &lt;= 0</div>
<div class="line"><a id="l01479" name="l01479"></a><span class="lineno"> 1479</span> ? 0</div>
<div class="line"><a id="l01480" name="l01480"></a><span class="lineno"> 1480</span> : (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0</div>
<div class="line"><a id="l01481" name="l01481"></a><span class="lineno"> 1481</span> ? parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#acc8b3b2cd593c2fbc656e40b0c04ef80">max_cut_rounds_at_level_zero</a>()</div>
<div class="line"><a id="l01482" name="l01482"></a><span class="lineno"> 1482</span> : 1);</div>
<div class="line"><a id="l01483" name="l01483"></a><span class="lineno"> 1483</span> <span class="keywordtype">int</span> cuts_round = 0;</div>
<div class="line"><a id="l01484" name="l01484"></a><span class="lineno"> 1484</span> <span class="keywordflow">while</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a> &amp;&amp;</div>
<div class="line"><a id="l01485" name="l01485"></a><span class="lineno"> 1485</span> cuts_round &lt; max_cuts_rounds) {</div>
<div class="line"><a id="l01486" name="l01486"></a><span class="lineno"> 1486</span> <span class="comment">// We wait for the first batch of problem constraints to be added before we</span></div>
<div class="line"><a id="l01487" name="l01487"></a><span class="lineno"> 1487</span> <span class="comment">// begin to generate cuts. Note that we rely on num_solves_ since on some</span></div>
<div class="line"><a id="l01488" name="l01488"></a><span class="lineno"> 1488</span> <span class="comment">// problems there is no other constriants than the cuts.</span></div>
<div class="line"><a id="l01489" name="l01489"></a><span class="lineno"> 1489</span> cuts_round++;</div>
<div class="line"><a id="l01490" name="l01490"></a><span class="lineno"> 1490</span> <span class="keywordflow">if</span> (num_solves_ &gt; 1) {</div>
<div class="line"><a id="l01491" name="l01491"></a><span class="lineno"> 1491</span> <span class="comment">// This must be called first.</span></div>
<div class="line"><a id="l01492" name="l01492"></a><span class="lineno"> 1492</span> implied_bounds_processor_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#ab354ebe396f7f5ad0c79ff2a928d9a40">RecomputeCacheAndSeparateSomeImpliedBoundCuts</a>(</div>
<div class="line"><a id="l01493" name="l01493"></a><span class="lineno"> 1493</span> expanded_lp_solution_);</div>
<div class="line"><a id="l01494" name="l01494"></a><span class="lineno"> 1494</span> </div>
<div class="line"><a id="l01495" name="l01495"></a><span class="lineno"> 1495</span> <span class="comment">// The &quot;generic&quot; cuts are currently part of this class as they are using</span></div>
<div class="line"><a id="l01496" name="l01496"></a><span class="lineno"> 1496</span> <span class="comment">// data from the current LP.</span></div>
<div class="line"><a id="l01497" name="l01497"></a><span class="lineno"> 1497</span> <span class="comment">//</span></div>
<div class="line"><a id="l01498" name="l01498"></a><span class="lineno"> 1498</span> <span class="comment">// TODO(user): Refactor so that they are just normal cut generators?</span></div>
<div class="line"><a id="l01499" name="l01499"></a><span class="lineno"> 1499</span> <span class="keywordflow">if</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0) {</div>
<div class="line"><a id="l01500" name="l01500"></a><span class="lineno"> 1500</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a6b90adaa2d3320ef5339dbf2064f9c93">add_objective_cut</a>()) AddObjectiveCut();</div>
<div class="line"><a id="l01501" name="l01501"></a><span class="lineno"> 1501</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a3385f97b807c3b670918f1134c9b7220">add_mir_cuts</a>()) AddMirCuts();</div>
<div class="line"><a id="l01502" name="l01502"></a><span class="lineno"> 1502</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#aaba8ad98a68d9b1b1fa20011ea878ce8">add_cg_cuts</a>()) AddCGCuts();</div>
<div class="line"><a id="l01503" name="l01503"></a><span class="lineno"> 1503</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#aafecb044a22711bb5459838afef55033">add_zero_half_cuts</a>()) AddZeroHalfCuts();</div>
<div class="line"><a id="l01504" name="l01504"></a><span class="lineno"> 1504</span> }</div>
<div class="line"><a id="l01505" name="l01505"></a><span class="lineno"> 1505</span> </div>
<div class="line"><a id="l01506" name="l01506"></a><span class="lineno"> 1506</span> <span class="comment">// Try to add cuts.</span></div>
<div class="line"><a id="l01507" name="l01507"></a><span class="lineno"> 1507</span> <span class="keywordflow">if</span> (!cut_generators_.empty() &amp;&amp;</div>
<div class="line"><a id="l01508" name="l01508"></a><span class="lineno"> 1508</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0 ||</div>
<div class="line"><a id="l01509" name="l01509"></a><span class="lineno"> 1509</span> !parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#aed8cf718ab869f5c05d6bd6f348c3207">only_add_cuts_at_level_zero</a>())) {</div>
<div class="line"><a id="l01510" name="l01510"></a><span class="lineno"> 1510</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_cut_generator.html">CutGenerator</a>&amp; generator : cut_generators_) {</div>
<div class="line"><a id="l01511" name="l01511"></a><span class="lineno"> 1511</span> <span class="keywordflow">if</span> (!generator.generate_cuts(expanded_lp_solution_,</div>
<div class="line"><a id="l01512" name="l01512"></a><span class="lineno"> 1512</span> &amp;constraint_manager_)) {</div>
<div class="line"><a id="l01513" name="l01513"></a><span class="lineno"> 1513</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01514" name="l01514"></a><span class="lineno"> 1514</span> }</div>
<div class="line"><a id="l01515" name="l01515"></a><span class="lineno"> 1515</span> }</div>
<div class="line"><a id="l01516" name="l01516"></a><span class="lineno"> 1516</span> }</div>
<div class="line"><a id="l01517" name="l01517"></a><span class="lineno"> 1517</span> </div>
<div class="line"><a id="l01518" name="l01518"></a><span class="lineno"> 1518</span> implied_bounds_processor_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#a25ce3a542ac1e183148844cb649069fd">IbCutPool</a>().<a class="code hl_function" href="classoperations__research_1_1sat_1_1_top_n_cuts.html#afb0f85e921e0f240d59d2a739e6b5712">TransferToManager</a>(</div>
<div class="line"><a id="l01519" name="l01519"></a><span class="lineno"> 1519</span> expanded_lp_solution_, &amp;constraint_manager_);</div>
<div class="line"><a id="l01520" name="l01520"></a><span class="lineno"> 1520</span> }</div>
<div class="line"><a id="l01521" name="l01521"></a><span class="lineno"> 1521</span> </div>
<div class="line"><a id="l01522" name="l01522"></a><span class="lineno"> 1522</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_basis_state.html">glop::BasisState</a> state = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#adfbae19f81ecf38f67643dc8b7dcec25">GetState</a>();</div>
<div class="line"><a id="l01523" name="l01523"></a><span class="lineno"> 1523</span> <span class="keywordflow">if</span> (constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a1951610defebe3a3b82d99006793486a">ChangeLp</a>(expanded_lp_solution_, &amp;state)) {</div>
<div class="line"><a id="l01524" name="l01524"></a><span class="lineno"> 1524</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac4d90743acfe39707571f84f096a58d7">LoadStateForNextSolve</a>(state);</div>
<div class="line"><a id="l01525" name="l01525"></a><span class="lineno"> 1525</span> <span class="keywordflow">if</span> (!CreateLpFromConstraintManager()) {</div>
<div class="line"><a id="l01526" name="l01526"></a><span class="lineno"> 1526</span> <span class="keywordflow">return</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>({});</div>
<div class="line"><a id="l01527" name="l01527"></a><span class="lineno"> 1527</span> }</div>
<div class="line"><a id="l01528" name="l01528"></a><span class="lineno"> 1528</span> <span class="keyword">const</span> <span class="keywordtype">double</span> old_obj = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l01529" name="l01529"></a><span class="lineno"> 1529</span> <span class="keywordflow">if</span> (!SolveLp()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01530" name="l01530"></a><span class="lineno"> 1530</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a>) {</div>
<div class="line"><a id="l01531" name="l01531"></a><span class="lineno"> 1531</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Relaxation improvement &quot;</span> &lt;&lt; old_obj &lt;&lt; <span class="stringliteral">&quot; -&gt; &quot;</span></div>
<div class="line"><a id="l01532" name="l01532"></a><span class="lineno"> 1532</span> &lt;&lt; simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>()</div>
<div class="line"><a id="l01533" name="l01533"></a><span class="lineno"> 1533</span> &lt;&lt; <span class="stringliteral">&quot; diff: &quot;</span> &lt;&lt; simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>() - old_obj</div>
<div class="line"><a id="l01534" name="l01534"></a><span class="lineno"> 1534</span> &lt;&lt; <span class="stringliteral">&quot; level: &quot;</span> &lt;&lt; trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>();</div>
<div class="line"><a id="l01535" name="l01535"></a><span class="lineno"> 1535</span> }</div>
<div class="line"><a id="l01536" name="l01536"></a><span class="lineno"> 1536</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01537" name="l01537"></a><span class="lineno"> 1537</span> <span class="keywordflow">if</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0) {</div>
<div class="line"><a id="l01538" name="l01538"></a><span class="lineno"> 1538</span> lp_at_level_zero_is_final_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01539" name="l01539"></a><span class="lineno"> 1539</span> }</div>
<div class="line"><a id="l01540" name="l01540"></a><span class="lineno"> 1540</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01541" name="l01541"></a><span class="lineno"> 1541</span> }</div>
<div class="line"><a id="l01542" name="l01542"></a><span class="lineno"> 1542</span> }</div>
<div class="line"><a id="l01543" name="l01543"></a><span class="lineno"> 1543</span> </div>
<div class="line"><a id="l01544" name="l01544"></a><span class="lineno"> 1544</span> <span class="comment">// A dual-unbounded problem is infeasible. We use the dual ray reason.</span></div>
<div class="line"><a id="l01545" name="l01545"></a><span class="lineno"> 1545</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">glop::ProblemStatus::DUAL_UNBOUNDED</a>) {</div>
<div class="line"><a id="l01546" name="l01546"></a><span class="lineno"> 1546</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#abca1c416bcecfd0da9c5260df13f5c4f">use_exact_lp_reason</a>()) {</div>
<div class="line"><a id="l01547" name="l01547"></a><span class="lineno"> 1547</span> <span class="keywordflow">if</span> (!FillExactDualRayReason()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01548" name="l01548"></a><span class="lineno"> 1548</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01549" name="l01549"></a><span class="lineno"> 1549</span> FillReducedCostReasonIn(simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a0e35521f3d40e263173626ecc8c21b06">GetDualRayRowCombination</a>(),</div>
<div class="line"><a id="l01550" name="l01550"></a><span class="lineno"> 1550</span> &amp;integer_reason_);</div>
<div class="line"><a id="l01551" name="l01551"></a><span class="lineno"> 1551</span> }</div>
<div class="line"><a id="l01552" name="l01552"></a><span class="lineno"> 1552</span> <span class="keywordflow">return</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>(integer_reason_);</div>
<div class="line"><a id="l01553" name="l01553"></a><span class="lineno"> 1553</span> }</div>
<div class="line"><a id="l01554" name="l01554"></a><span class="lineno"> 1554</span> </div>
<div class="line"><a id="l01555" name="l01555"></a><span class="lineno"> 1555</span> <span class="comment">// TODO(user): Update limits for DUAL_UNBOUNDED status as well.</span></div>
<div class="line"><a id="l01556" name="l01556"></a><span class="lineno"> 1556</span> UpdateSimplexIterationLimit(<span class="comment">/*min_iter=*/</span>10, <span class="comment">/*max_iter=*/</span>1000);</div>
<div class="line"><a id="l01557" name="l01557"></a><span class="lineno"> 1557</span> </div>
<div class="line"><a id="l01558" name="l01558"></a><span class="lineno"> 1558</span> <span class="comment">// Optimality deductions if problem has an objective.</span></div>
<div class="line"><a id="l01559" name="l01559"></a><span class="lineno"> 1559</span> <span class="keywordflow">if</span> (objective_is_defined_ &amp;&amp;</div>
<div class="line"><a id="l01560" name="l01560"></a><span class="lineno"> 1560</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a> ||</div>
<div class="line"><a id="l01561" name="l01561"></a><span class="lineno"> 1561</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa">glop::ProblemStatus::DUAL_FEASIBLE</a>)) {</div>
<div class="line"><a id="l01562" name="l01562"></a><span class="lineno"> 1562</span> <span class="comment">// TODO(user): Maybe do a bit less computation when we cannot propagate</span></div>
<div class="line"><a id="l01563" name="l01563"></a><span class="lineno"> 1563</span> <span class="comment">// anything.</span></div>
<div class="line"><a id="l01564" name="l01564"></a><span class="lineno"> 1564</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#abca1c416bcecfd0da9c5260df13f5c4f">use_exact_lp_reason</a>()) {</div>
<div class="line"><a id="l01565" name="l01565"></a><span class="lineno"> 1565</span> <span class="keywordflow">if</span> (!ExactLpReasonning()) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01566" name="l01566"></a><span class="lineno"> 1566</span> </div>
<div class="line"><a id="l01567" name="l01567"></a><span class="lineno"> 1567</span> <span class="comment">// Display when the inexact bound would have propagated more.</span></div>
<div class="line"><a id="l01568" name="l01568"></a><span class="lineno"> 1568</span> <span class="keywordflow">if</span> (<a class="code hl_define" href="vlog__is__on_8h.html#a956152cad330225654d128f35c00efce">VLOG_IS_ON</a>(2)) {</div>
<div class="line"><a id="l01569" name="l01569"></a><span class="lineno"> 1569</span> <span class="keyword">const</span> <span class="keywordtype">double</span> relaxed_optimal_objective = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l01570" name="l01570"></a><span class="lineno"> 1570</span> <span class="keyword">const</span> IntegerValue approximate_new_lb(<span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(</div>
<div class="line"><a id="l01571" name="l01571"></a><span class="lineno"> 1571</span> std::ceil(relaxed_optimal_objective - kCpEpsilon)));</div>
<div class="line"><a id="l01572" name="l01572"></a><span class="lineno"> 1572</span> <span class="keyword">const</span> IntegerValue propagated_lb =</div>
<div class="line"><a id="l01573" name="l01573"></a><span class="lineno"> 1573</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(objective_cp_);</div>
<div class="line"><a id="l01574" name="l01574"></a><span class="lineno"> 1574</span> <span class="keywordflow">if</span> (approximate_new_lb &gt; propagated_lb) {</div>
<div class="line"><a id="l01575" name="l01575"></a><span class="lineno"> 1575</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;LP objective [ &quot;</span> &lt;&lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(propagated_lb) &lt;&lt; <span class="stringliteral">&quot;, &quot;</span></div>
<div class="line"><a id="l01576" name="l01576"></a><span class="lineno"> 1576</span> &lt;&lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(objective_cp_))</div>
<div class="line"><a id="l01577" name="l01577"></a><span class="lineno"> 1577</span> &lt;&lt; <span class="stringliteral">&quot; ] approx_lb += &quot;</span></div>
<div class="line"><a id="l01578" name="l01578"></a><span class="lineno"> 1578</span> &lt;&lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(approximate_new_lb - propagated_lb) &lt;&lt; <span class="stringliteral">&quot; gap: &quot;</span></div>
<div class="line"><a id="l01579" name="l01579"></a><span class="lineno"> 1579</span> &lt;&lt; integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(objective_cp_) - propagated_lb;</div>
<div class="line"><a id="l01580" name="l01580"></a><span class="lineno"> 1580</span> }</div>
<div class="line"><a id="l01581" name="l01581"></a><span class="lineno"> 1581</span> }</div>
<div class="line"><a id="l01582" name="l01582"></a><span class="lineno"> 1582</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01583" name="l01583"></a><span class="lineno"> 1583</span> <span class="comment">// Try to filter optimal objective value. Note that GetObjectiveValue()</span></div>
<div class="line"><a id="l01584" name="l01584"></a><span class="lineno"> 1584</span> <span class="comment">// already take care of the scaling so that it returns an objective in the</span></div>
<div class="line"><a id="l01585" name="l01585"></a><span class="lineno"> 1585</span> <span class="comment">// CP world.</span></div>
<div class="line"><a id="l01586" name="l01586"></a><span class="lineno"> 1586</span> FillReducedCostReasonIn(simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a26689abee13abb7fc0d0cf99c1c7809b">GetReducedCosts</a>(), &amp;integer_reason_);</div>
<div class="line"><a id="l01587" name="l01587"></a><span class="lineno"> 1587</span> <span class="keyword">const</span> <span class="keywordtype">double</span> objective_cp_ub =</div>
<div class="line"><a id="l01588" name="l01588"></a><span class="lineno"> 1588</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(objective_cp_));</div>
<div class="line"><a id="l01589" name="l01589"></a><span class="lineno"> 1589</span> <span class="keyword">const</span> <span class="keywordtype">double</span> relaxed_optimal_objective = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l01590" name="l01590"></a><span class="lineno"> 1590</span> ReducedCostStrengtheningDeductions(objective_cp_ub -</div>
<div class="line"><a id="l01591" name="l01591"></a><span class="lineno"> 1591</span> relaxed_optimal_objective);</div>
<div class="line"><a id="l01592" name="l01592"></a><span class="lineno"> 1592</span> <span class="keywordflow">if</span> (!deductions_.empty()) {</div>
<div class="line"><a id="l01593" name="l01593"></a><span class="lineno"> 1593</span> deductions_reason_ = integer_reason_;</div>
<div class="line"><a id="l01594" name="l01594"></a><span class="lineno"> 1594</span> deductions_reason_.push_back(</div>
<div class="line"><a id="l01595" name="l01595"></a><span class="lineno"> 1595</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(objective_cp_));</div>
<div class="line"><a id="l01596" name="l01596"></a><span class="lineno"> 1596</span> }</div>
<div class="line"><a id="l01597" name="l01597"></a><span class="lineno"> 1597</span> </div>
<div class="line"><a id="l01598" name="l01598"></a><span class="lineno"> 1598</span> <span class="comment">// Push new objective lb.</span></div>
<div class="line"><a id="l01599" name="l01599"></a><span class="lineno"> 1599</span> <span class="keyword">const</span> IntegerValue approximate_new_lb(<span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(</div>
<div class="line"><a id="l01600" name="l01600"></a><span class="lineno"> 1600</span> std::ceil(relaxed_optimal_objective - kCpEpsilon)));</div>
<div class="line"><a id="l01601" name="l01601"></a><span class="lineno"> 1601</span> <span class="keywordflow">if</span> (approximate_new_lb &gt; integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(objective_cp_)) {</div>
<div class="line"><a id="l01602" name="l01602"></a><span class="lineno"> 1602</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> deduction =</div>
<div class="line"><a id="l01603" name="l01603"></a><span class="lineno"> 1603</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(objective_cp_, approximate_new_lb);</div>
<div class="line"><a id="l01604" name="l01604"></a><span class="lineno"> 1604</span> <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(deduction, {}, integer_reason_)) {</div>
<div class="line"><a id="l01605" name="l01605"></a><span class="lineno"> 1605</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01606" name="l01606"></a><span class="lineno"> 1606</span> }</div>
<div class="line"><a id="l01607" name="l01607"></a><span class="lineno"> 1607</span> }</div>
<div class="line"><a id="l01608" name="l01608"></a><span class="lineno"> 1608</span> </div>
<div class="line"><a id="l01609" name="l01609"></a><span class="lineno"> 1609</span> <span class="comment">// Push reduced cost strengthening bounds.</span></div>
<div class="line"><a id="l01610" name="l01610"></a><span class="lineno"> 1610</span> <span class="keywordflow">if</span> (!deductions_.empty()) {</div>
<div class="line"><a id="l01611" name="l01611"></a><span class="lineno"> 1611</span> <span class="keyword">const</span> <span class="keywordtype">int</span> trail_index_with_same_reason = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ef12397d1682615bc3108c397734179">Index</a>();</div>
<div class="line"><a id="l01612" name="l01612"></a><span class="lineno"> 1612</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> deduction : deductions_) {</div>
<div class="line"><a id="l01613" name="l01613"></a><span class="lineno"> 1613</span> <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(deduction, {}, deductions_reason_,</div>
<div class="line"><a id="l01614" name="l01614"></a><span class="lineno"> 1614</span> trail_index_with_same_reason)) {</div>
<div class="line"><a id="l01615" name="l01615"></a><span class="lineno"> 1615</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01616" name="l01616"></a><span class="lineno"> 1616</span> }</div>
<div class="line"><a id="l01617" name="l01617"></a><span class="lineno"> 1617</span> }</div>
<div class="line"><a id="l01618" name="l01618"></a><span class="lineno"> 1618</span> }</div>
<div class="line"><a id="l01619" name="l01619"></a><span class="lineno"> 1619</span> }</div>
<div class="line"><a id="l01620" name="l01620"></a><span class="lineno"> 1620</span> }</div>
<div class="line"><a id="l01621" name="l01621"></a><span class="lineno"> 1621</span> </div>
<div class="line"><a id="l01622" name="l01622"></a><span class="lineno"> 1622</span> <span class="comment">// Copy more info about the current solution.</span></div>
<div class="line"><a id="l01623" name="l01623"></a><span class="lineno"> 1623</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a>) {</div>
<div class="line"><a id="l01624" name="l01624"></a><span class="lineno"> 1624</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(lp_solution_is_set_);</div>
<div class="line"><a id="l01625" name="l01625"></a><span class="lineno"> 1625</span> </div>
<div class="line"><a id="l01626" name="l01626"></a><span class="lineno"> 1626</span> lp_objective_ = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">GetObjectiveValue</a>();</div>
<div class="line"><a id="l01627" name="l01627"></a><span class="lineno"> 1627</span> lp_solution_is_integer_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01628" name="l01628"></a><span class="lineno"> 1628</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l01629" name="l01629"></a><span class="lineno"> 1629</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l01630" name="l01630"></a><span class="lineno"> 1630</span> lp_reduced_cost_[i] = scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a7bda8ecfedb49d8fe3fa3868b49b1588">UnscaleReducedCost</a>(</div>
<div class="line"><a id="l01631" name="l01631"></a><span class="lineno"> 1631</span> glop::ColIndex(i), simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a52c80b8028f6d54f8b2c02da3aac7510">GetReducedCost</a>(glop::ColIndex(i)));</div>
<div class="line"><a id="l01632" name="l01632"></a><span class="lineno"> 1632</span> <span class="keywordflow">if</span> (std::abs(lp_solution_[i] - std::round(lp_solution_[i])) &gt;</div>
<div class="line"><a id="l01633" name="l01633"></a><span class="lineno"> 1633</span> kCpEpsilon) {</div>
<div class="line"><a id="l01634" name="l01634"></a><span class="lineno"> 1634</span> lp_solution_is_integer_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l01635" name="l01635"></a><span class="lineno"> 1635</span> }</div>
<div class="line"><a id="l01636" name="l01636"></a><span class="lineno"> 1636</span> }</div>
<div class="line"><a id="l01637" name="l01637"></a><span class="lineno"> 1637</span> </div>
<div class="line"><a id="l01638" name="l01638"></a><span class="lineno"> 1638</span> <span class="keywordflow">if</span> (compute_reduced_cost_averages_) {</div>
<div class="line"><a id="l01639" name="l01639"></a><span class="lineno"> 1639</span> UpdateAverageReducedCosts();</div>
<div class="line"><a id="l01640" name="l01640"></a><span class="lineno"> 1640</span> }</div>
<div class="line"><a id="l01641" name="l01641"></a><span class="lineno"> 1641</span> }</div>
<div class="line"><a id="l01642" name="l01642"></a><span class="lineno"> 1642</span> </div>
<div class="line"><a id="l01643" name="l01643"></a><span class="lineno"> 1643</span> <span class="keywordflow">if</span> (parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a76a4a756db0f83aac010556b132df214">use_branching_in_lp</a>() &amp;&amp; objective_is_defined_ &amp;&amp;</div>
<div class="line"><a id="l01644" name="l01644"></a><span class="lineno"> 1644</span> trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0 &amp;&amp; !is_degenerate_ &amp;&amp;</div>
<div class="line"><a id="l01645" name="l01645"></a><span class="lineno"> 1645</span> lp_solution_is_set_ &amp;&amp; !lp_solution_is_integer_ &amp;&amp;</div>
<div class="line"><a id="l01646" name="l01646"></a><span class="lineno"> 1646</span> parameters_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_parameters.html#a067f8d5ca3f3a7b4e01e47d6d07f08b1">linearization_level</a>() &gt;= 2 &amp;&amp;</div>
<div class="line"><a id="l01647" name="l01647"></a><span class="lineno"> 1647</span> compute_reduced_cost_averages_ &amp;&amp;</div>
<div class="line"><a id="l01648" name="l01648"></a><span class="lineno"> 1648</span> simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">GetProblemStatus</a>() == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">glop::ProblemStatus::OPTIMAL</a>) {</div>
<div class="line"><a id="l01649" name="l01649"></a><span class="lineno"> 1649</span> count_since_last_branching_++;</div>
<div class="line"><a id="l01650" name="l01650"></a><span class="lineno"> 1650</span> <span class="keywordflow">if</span> (count_since_last_branching_ &lt; branching_frequency_) {</div>
<div class="line"><a id="l01651" name="l01651"></a><span class="lineno"> 1651</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01652" name="l01652"></a><span class="lineno"> 1652</span> }</div>
<div class="line"><a id="l01653" name="l01653"></a><span class="lineno"> 1653</span> count_since_last_branching_ = 0;</div>
<div class="line"><a id="l01654" name="l01654"></a><span class="lineno"> 1654</span> <span class="keywordtype">bool</span> branching_successful = <span class="keyword">false</span>;</div>
<div class="line"><a id="l01655" name="l01655"></a><span class="lineno"> 1655</span> </div>
<div class="line"><a id="l01656" name="l01656"></a><span class="lineno"> 1656</span> <span class="comment">// Strong branching on top max_num_branches variable.</span></div>
<div class="line"><a id="l01657" name="l01657"></a><span class="lineno"> 1657</span> <span class="keyword">const</span> <span class="keywordtype">int</span> max_num_branches = 3;</div>
<div class="line"><a id="l01658" name="l01658"></a><span class="lineno"> 1658</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l01659" name="l01659"></a><span class="lineno"> 1659</span> std::vector&lt;std::pair&lt;double, IntegerVariable&gt;&gt; branching_vars;</div>
<div class="line"><a id="l01660" name="l01660"></a><span class="lineno"> 1660</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a id="l01661" name="l01661"></a><span class="lineno"> 1661</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[i];</div>
<div class="line"><a id="l01662" name="l01662"></a><span class="lineno"> 1662</span> <span class="keyword">const</span> IntegerVariable positive_var = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l01663" name="l01663"></a><span class="lineno"> 1663</span> </div>
<div class="line"><a id="l01664" name="l01664"></a><span class="lineno"> 1664</span> <span class="comment">// Skip non fractional variables.</span></div>
<div class="line"><a id="l01665" name="l01665"></a><span class="lineno"> 1665</span> <span class="keyword">const</span> <span class="keywordtype">double</span> current_value = <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">GetSolutionValue</a>(positive_var);</div>
<div class="line"><a id="l01666" name="l01666"></a><span class="lineno"> 1666</span> <span class="keywordflow">if</span> (std::abs(current_value - std::round(current_value)) &lt;= kCpEpsilon) {</div>
<div class="line"><a id="l01667" name="l01667"></a><span class="lineno"> 1667</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01668" name="l01668"></a><span class="lineno"> 1668</span> }</div>
<div class="line"><a id="l01669" name="l01669"></a><span class="lineno"> 1669</span> </div>
<div class="line"><a id="l01670" name="l01670"></a><span class="lineno"> 1670</span> <span class="comment">// Skip ignored variables.</span></div>
<div class="line"><a id="l01671" name="l01671"></a><span class="lineno"> 1671</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01672" name="l01672"></a><span class="lineno"> 1672</span> </div>
<div class="line"><a id="l01673" name="l01673"></a><span class="lineno"> 1673</span> <span class="comment">// We can use any metric to select a variable to branch on. Reduced cost</span></div>
<div class="line"><a id="l01674" name="l01674"></a><span class="lineno"> 1674</span> <span class="comment">// average is one of the most promissing metric. It captures the history</span></div>
<div class="line"><a id="l01675" name="l01675"></a><span class="lineno"> 1675</span> <span class="comment">// of the objective bound improvement in LP due to changes in the given</span></div>
<div class="line"><a id="l01676" name="l01676"></a><span class="lineno"> 1676</span> <span class="comment">// variable bounds.</span></div>
<div class="line"><a id="l01677" name="l01677"></a><span class="lineno"> 1677</span> <span class="comment">//</span></div>
<div class="line"><a id="l01678" name="l01678"></a><span class="lineno"> 1678</span> <span class="comment">// NOTE: We also experimented using PseudoCosts and most recent reduced</span></div>
<div class="line"><a id="l01679" name="l01679"></a><span class="lineno"> 1679</span> <span class="comment">// cost as metrics but it doesn&#39;t give better results on benchmarks.</span></div>
<div class="line"><a id="l01680" name="l01680"></a><span class="lineno"> 1680</span> <span class="keyword">const</span> <span class="keywordtype">double</span> cost_i = rc_scores_[i];</div>
<div class="line"><a id="l01681" name="l01681"></a><span class="lineno"> 1681</span> std::pair&lt;double, IntegerVariable&gt; branching_var =</div>
<div class="line"><a id="l01682" name="l01682"></a><span class="lineno"> 1682</span> std::make_pair(-cost_i, positive_var);</div>
<div class="line"><a id="l01683" name="l01683"></a><span class="lineno"> 1683</span> <span class="keyword">auto</span> iterator = <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">std::lower_bound</a>(branching_vars.begin(),</div>
<div class="line"><a id="l01684" name="l01684"></a><span class="lineno"> 1684</span> branching_vars.end(), branching_var);</div>
<div class="line"><a id="l01685" name="l01685"></a><span class="lineno"> 1685</span> </div>
<div class="line"><a id="l01686" name="l01686"></a><span class="lineno"> 1686</span> branching_vars.insert(iterator, branching_var);</div>
<div class="line"><a id="l01687" name="l01687"></a><span class="lineno"> 1687</span> <span class="keywordflow">if</span> (branching_vars.size() &gt; max_num_branches) {</div>
<div class="line"><a id="l01688" name="l01688"></a><span class="lineno"> 1688</span> branching_vars.resize(max_num_branches);</div>
<div class="line"><a id="l01689" name="l01689"></a><span class="lineno"> 1689</span> }</div>
<div class="line"><a id="l01690" name="l01690"></a><span class="lineno"> 1690</span> }</div>
<div class="line"><a id="l01691" name="l01691"></a><span class="lineno"> 1691</span> </div>
<div class="line"><a id="l01692" name="l01692"></a><span class="lineno"> 1692</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;double, IntegerVariable&gt;&amp; branching_var :</div>
<div class="line"><a id="l01693" name="l01693"></a><span class="lineno"> 1693</span> branching_vars) {</div>
<div class="line"><a id="l01694" name="l01694"></a><span class="lineno"> 1694</span> <span class="keyword">const</span> IntegerVariable positive_var = branching_var.second;</div>
<div class="line"><a id="l01695" name="l01695"></a><span class="lineno"> 1695</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;Branching on: &quot;</span> &lt;&lt; positive_var;</div>
<div class="line"><a id="l01696" name="l01696"></a><span class="lineno"> 1696</span> <span class="keywordflow">if</span> (BranchOnVar(positive_var)) {</div>
<div class="line"><a id="l01697" name="l01697"></a><span class="lineno"> 1697</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;Branching successful.&quot;</span>;</div>
<div class="line"><a id="l01698" name="l01698"></a><span class="lineno"> 1698</span> branching_successful = <span class="keyword">true</span>;</div>
<div class="line"><a id="l01699" name="l01699"></a><span class="lineno"> 1699</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01700" name="l01700"></a><span class="lineno"> 1700</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l01701" name="l01701"></a><span class="lineno"> 1701</span> }</div>
<div class="line"><a id="l01702" name="l01702"></a><span class="lineno"> 1702</span> }</div>
<div class="line"><a id="l01703" name="l01703"></a><span class="lineno"> 1703</span> <span class="keywordflow">if</span> (!branching_successful) {</div>
<div class="line"><a id="l01704" name="l01704"></a><span class="lineno"> 1704</span> branching_frequency_ *= 2;</div>
<div class="line"><a id="l01705" name="l01705"></a><span class="lineno"> 1705</span> }</div>
<div class="line"><a id="l01706" name="l01706"></a><span class="lineno"> 1706</span> }</div>
<div class="line"><a id="l01707" name="l01707"></a><span class="lineno"> 1707</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01708" name="l01708"></a><span class="lineno"> 1708</span>}</div>
<div class="line"><a id="l01709" name="l01709"></a><span class="lineno"> 1709</span> </div>
<div class="line"><a id="l01710" name="l01710"></a><span class="lineno"> 1710</span><span class="comment">// Returns kMinIntegerValue in case of overflow.</span></div>
<div class="line"><a id="l01711" name="l01711"></a><span class="lineno"> 1711</span><span class="comment">//</span></div>
<div class="line"><a id="l01712" name="l01712"></a><span class="lineno"> 1712</span><span class="comment">// TODO(user): Because of PreventOverflow(), this should actually never happen.</span></div>
<div class="line"><a id="l01713" name="l01713"></a><span class="lineno"> 1713</span>IntegerValue LinearProgrammingConstraint::GetImpliedLowerBound(</div>
<div class="line"><a id="l01714" name="l01714"></a><span class="lineno"> 1714</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; terms)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l01715" name="l01715"></a><span class="lineno"> 1715</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>(0);</div>
<div class="line"><a id="l01716" name="l01716"></a><span class="lineno"> 1716</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = terms.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size();</div>
<div class="line"><a id="l01717" name="l01717"></a><span class="lineno"> 1717</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l01718" name="l01718"></a><span class="lineno"> 1718</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = terms.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[i];</div>
<div class="line"><a id="l01719" name="l01719"></a><span class="lineno"> 1719</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = terms.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[i];</div>
<div class="line"><a id="l01720" name="l01720"></a><span class="lineno"> 1720</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, 0);</div>
<div class="line"><a id="l01721" name="l01721"></a><span class="lineno"> 1721</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> = <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> &gt; 0 ? integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)</div>
<div class="line"><a id="l01722" name="l01722"></a><span class="lineno"> 1722</span> : integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l01723" name="l01723"></a><span class="lineno"> 1723</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(<a class="code hl_variable" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, &amp;<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>)) <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>;</div>
<div class="line"><a id="l01724" name="l01724"></a><span class="lineno"> 1724</span> }</div>
<div class="line"><a id="l01725" name="l01725"></a><span class="lineno"> 1725</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>;</div>
<div class="line"><a id="l01726" name="l01726"></a><span class="lineno"> 1726</span>}</div>
<div class="line"><a id="l01727" name="l01727"></a><span class="lineno"> 1727</span> </div>
<div class="line"><a id="l01728" name="l01728"></a><span class="lineno"> 1728</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::PossibleOverflow(</div>
<div class="line"><a id="l01729" name="l01729"></a><span class="lineno"> 1729</span> <span class="keyword">const</span> LinearConstraint&amp; constraint) {</div>
<div class="line"><a id="l01730" name="l01730"></a><span class="lineno"> 1730</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>(0);</div>
<div class="line"><a id="l01731" name="l01731"></a><span class="lineno"> 1731</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint.vars.size();</div>
<div class="line"><a id="l01732" name="l01732"></a><span class="lineno"> 1732</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l01733" name="l01733"></a><span class="lineno"> 1733</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint.vars[i];</div>
<div class="line"><a id="l01734" name="l01734"></a><span class="lineno"> 1734</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = constraint.coeffs[i];</div>
<div class="line"><a id="l01735" name="l01735"></a><span class="lineno"> 1735</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, 0);</div>
<div class="line"><a id="l01736" name="l01736"></a><span class="lineno"> 1736</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> = <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> &gt; 0</div>
<div class="line"><a id="l01737" name="l01737"></a><span class="lineno"> 1737</span> ? integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)</div>
<div class="line"><a id="l01738" name="l01738"></a><span class="lineno"> 1738</span> : integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l01739" name="l01739"></a><span class="lineno"> 1739</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(<a class="code hl_variable" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, &amp;<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>)) {</div>
<div class="line"><a id="l01740" name="l01740"></a><span class="lineno"> 1740</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01741" name="l01741"></a><span class="lineno"> 1741</span> }</div>
<div class="line"><a id="l01742" name="l01742"></a><span class="lineno"> 1742</span> }</div>
<div class="line"><a id="l01743" name="l01743"></a><span class="lineno"> 1743</span> <span class="keyword">const</span> int64_t slack = <a class="code hl_function" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>.value(), -constraint.ub.value());</div>
<div class="line"><a id="l01744" name="l01744"></a><span class="lineno"> 1744</span> <span class="keywordflow">if</span> (slack == <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits&lt;int64_t&gt;::min</a>() ||</div>
<div class="line"><a id="l01745" name="l01745"></a><span class="lineno"> 1745</span> slack == <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>()) {</div>
<div class="line"><a id="l01746" name="l01746"></a><span class="lineno"> 1746</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01747" name="l01747"></a><span class="lineno"> 1747</span> }</div>
<div class="line"><a id="l01748" name="l01748"></a><span class="lineno"> 1748</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01749" name="l01749"></a><span class="lineno"> 1749</span>}</div>
<div class="line"><a id="l01750" name="l01750"></a><span class="lineno"> 1750</span> </div>
<div class="line"><a id="l01751" name="l01751"></a><span class="lineno"> 1751</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l01752" name="l01752"></a><span class="lineno"> 1752</span> </div>
<div class="line"><a id="l01753" name="l01753"></a><span class="lineno"> 1753</span>absl::int128 FloorRatio128(absl::int128 x, IntegerValue positive_div) {</div>
<div class="line"><a id="l01754" name="l01754"></a><span class="lineno"> 1754</span> absl::int128 div128(positive_div.value());</div>
<div class="line"><a id="l01755" name="l01755"></a><span class="lineno"> 1755</span> absl::int128 result = x / div128;</div>
<div class="line"><a id="l01756" name="l01756"></a><span class="lineno"> 1756</span> <span class="keywordflow">if</span> (result * div128 &gt; x) <span class="keywordflow">return</span> result - 1;</div>
<div class="line"><a id="l01757" name="l01757"></a><span class="lineno"> 1757</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l01758" name="l01758"></a><span class="lineno"> 1758</span>}</div>
<div class="line"><a id="l01759" name="l01759"></a><span class="lineno"> 1759</span> </div>
<div class="line"><a id="l01760" name="l01760"></a><span class="lineno"> 1760</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l01761" name="l01761"></a><span class="lineno"> 1761</span> </div>
<div class="line"><a id="l01762" name="l01762"></a><span class="lineno"> 1762</span><span class="keywordtype">void</span> LinearProgrammingConstraint::PreventOverflow(LinearConstraint* constraint,</div>
<div class="line"><a id="l01763" name="l01763"></a><span class="lineno"> 1763</span> <span class="keywordtype">int</span> max_pow) {</div>
<div class="line"><a id="l01764" name="l01764"></a><span class="lineno"> 1764</span> <span class="comment">// First, make all coefficient positive.</span></div>
<div class="line"><a id="l01765" name="l01765"></a><span class="lineno"> 1765</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">MakeAllCoefficientsPositive</a>(constraint);</div>
<div class="line"><a id="l01766" name="l01766"></a><span class="lineno"> 1766</span> </div>
<div class="line"><a id="l01767" name="l01767"></a><span class="lineno"> 1767</span> <span class="comment">// Compute the min/max possible partial sum. Note that we need to use the</span></div>
<div class="line"><a id="l01768" name="l01768"></a><span class="lineno"> 1768</span> <span class="comment">// level zero bounds here since we might use this cut after backtrack.</span></div>
<div class="line"><a id="l01769" name="l01769"></a><span class="lineno"> 1769</span> <span class="keywordtype">double</span> sum_min = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(0.0, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(-constraint-&gt;ub));</div>
<div class="line"><a id="l01770" name="l01770"></a><span class="lineno"> 1770</span> <span class="keywordtype">double</span> sum_max = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(0.0, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(-constraint-&gt;ub));</div>
<div class="line"><a id="l01771" name="l01771"></a><span class="lineno"> 1771</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = constraint-&gt;vars.size();</div>
<div class="line"><a id="l01772" name="l01772"></a><span class="lineno"> 1772</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l01773" name="l01773"></a><span class="lineno"> 1773</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = constraint-&gt;vars[i];</div>
<div class="line"><a id="l01774" name="l01774"></a><span class="lineno"> 1774</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(constraint-&gt;coeffs[i]);</div>
<div class="line"><a id="l01775" name="l01775"></a><span class="lineno"> 1775</span> sum_min +=</div>
<div class="line"><a id="l01776" name="l01776"></a><span class="lineno"> 1776</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> *</div>
<div class="line"><a id="l01777" name="l01777"></a><span class="lineno"> 1777</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(0.0, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)));</div>
<div class="line"><a id="l01778" name="l01778"></a><span class="lineno"> 1778</span> sum_max +=</div>
<div class="line"><a id="l01779" name="l01779"></a><span class="lineno"> 1779</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> *</div>
<div class="line"><a id="l01780" name="l01780"></a><span class="lineno"> 1780</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(0.0, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)));</div>
<div class="line"><a id="l01781" name="l01781"></a><span class="lineno"> 1781</span> }</div>
<div class="line"><a id="l01782" name="l01782"></a><span class="lineno"> 1782</span> <span class="keyword">const</span> <span class="keywordtype">double</span> max_value = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>({sum_max, -sum_min, sum_max - sum_min});</div>
<div class="line"><a id="l01783" name="l01783"></a><span class="lineno"> 1783</span> </div>
<div class="line"><a id="l01784" name="l01784"></a><span class="lineno"> 1784</span> <span class="keyword">const</span> IntegerValue divisor(std::ceil(std::ldexp(max_value, -max_pow)));</div>
<div class="line"><a id="l01785" name="l01785"></a><span class="lineno"> 1785</span> <span class="keywordflow">if</span> (divisor &lt;= 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l01786" name="l01786"></a><span class="lineno"> 1786</span> </div>
<div class="line"><a id="l01787" name="l01787"></a><span class="lineno"> 1787</span> <span class="comment">// To be correct, we need to shift all variable so that they are positive.</span></div>
<div class="line"><a id="l01788" name="l01788"></a><span class="lineno"> 1788</span> <span class="comment">//</span></div>
<div class="line"><a id="l01789" name="l01789"></a><span class="lineno"> 1789</span> <span class="comment">// Important: One might be tempted to think that using the current variable</span></div>
<div class="line"><a id="l01790" name="l01790"></a><span class="lineno"> 1790</span> <span class="comment">// bounds is okay here since we only use this to derive cut/constraint that</span></div>
<div class="line"><a id="l01791" name="l01791"></a><span class="lineno"> 1791</span> <span class="comment">// only needs to be locally valid. However, in some corner cases (like when</span></div>
<div class="line"><a id="l01792" name="l01792"></a><span class="lineno"> 1792</span> <span class="comment">// one term become zero), we might loose the fact that we used one of the</span></div>
<div class="line"><a id="l01793" name="l01793"></a><span class="lineno"> 1793</span> <span class="comment">// variable bound to derive the new constraint, so we will miss it in the</span></div>
<div class="line"><a id="l01794" name="l01794"></a><span class="lineno"> 1794</span> <span class="comment">// explanation !!</span></div>
<div class="line"><a id="l01795" name="l01795"></a><span class="lineno"> 1795</span> <span class="comment">//</span></div>
<div class="line"><a id="l01796" name="l01796"></a><span class="lineno"> 1796</span> <span class="comment">// TODO(user): This code is tricky and similar to the one to generate cuts.</span></div>
<div class="line"><a id="l01797" name="l01797"></a><span class="lineno"> 1797</span> <span class="comment">// Test and may reduce the duplication? note however that here we use int128</span></div>
<div class="line"><a id="l01798" name="l01798"></a><span class="lineno"> 1798</span> <span class="comment">// to deal with potential overflow.</span></div>
<div class="line"><a id="l01799" name="l01799"></a><span class="lineno"> 1799</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l01800" name="l01800"></a><span class="lineno"> 1800</span> absl::int128 adjust = 0;</div>
<div class="line"><a id="l01801" name="l01801"></a><span class="lineno"> 1801</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l01802" name="l01802"></a><span class="lineno"> 1802</span> <span class="keyword">const</span> IntegerValue old_coeff = constraint-&gt;coeffs[i];</div>
<div class="line"><a id="l01803" name="l01803"></a><span class="lineno"> 1803</span> <span class="keyword">const</span> IntegerValue new_coeff = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(old_coeff, divisor);</div>
<div class="line"><a id="l01804" name="l01804"></a><span class="lineno"> 1804</span> </div>
<div class="line"><a id="l01805" name="l01805"></a><span class="lineno"> 1805</span> <span class="comment">// Compute the rhs adjustement.</span></div>
<div class="line"><a id="l01806" name="l01806"></a><span class="lineno"> 1806</span> <span class="keyword">const</span> absl::int128 remainder =</div>
<div class="line"><a id="l01807" name="l01807"></a><span class="lineno"> 1807</span> absl::int128(old_coeff.value()) -</div>
<div class="line"><a id="l01808" name="l01808"></a><span class="lineno"> 1808</span> absl::int128(new_coeff.value()) * absl::int128(divisor.value());</div>
<div class="line"><a id="l01809" name="l01809"></a><span class="lineno"> 1809</span> adjust +=</div>
<div class="line"><a id="l01810" name="l01810"></a><span class="lineno"> 1810</span> remainder *</div>
<div class="line"><a id="l01811" name="l01811"></a><span class="lineno"> 1811</span> absl::int128(</div>
<div class="line"><a id="l01812" name="l01812"></a><span class="lineno"> 1812</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(constraint-&gt;vars[i]).value());</div>
<div class="line"><a id="l01813" name="l01813"></a><span class="lineno"> 1813</span> </div>
<div class="line"><a id="l01814" name="l01814"></a><span class="lineno"> 1814</span> <span class="keywordflow">if</span> (new_coeff == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01815" name="l01815"></a><span class="lineno"> 1815</span> constraint-&gt;vars[new_size] = constraint-&gt;vars[i];</div>
<div class="line"><a id="l01816" name="l01816"></a><span class="lineno"> 1816</span> constraint-&gt;coeffs[new_size] = new_coeff;</div>
<div class="line"><a id="l01817" name="l01817"></a><span class="lineno"> 1817</span> ++new_size;</div>
<div class="line"><a id="l01818" name="l01818"></a><span class="lineno"> 1818</span> }</div>
<div class="line"><a id="l01819" name="l01819"></a><span class="lineno"> 1819</span> constraint-&gt;vars.resize(new_size);</div>
<div class="line"><a id="l01820" name="l01820"></a><span class="lineno"> 1820</span> constraint-&gt;coeffs.resize(new_size);</div>
<div class="line"><a id="l01821" name="l01821"></a><span class="lineno"> 1821</span> </div>
<div class="line"><a id="l01822" name="l01822"></a><span class="lineno"> 1822</span> constraint-&gt;ub = IntegerValue(<span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(</div>
<div class="line"><a id="l01823" name="l01823"></a><span class="lineno"> 1823</span> FloorRatio128(absl::int128(constraint-&gt;ub.value()) - adjust, divisor)));</div>
<div class="line"><a id="l01824" name="l01824"></a><span class="lineno"> 1824</span>}</div>
<div class="line"><a id="l01825" name="l01825"></a><span class="lineno"> 1825</span> </div>
<div class="line"><a id="l01826" name="l01826"></a><span class="lineno"> 1826</span><span class="comment">// TODO(user): combine this with RelaxLinearReason() to avoid the extra</span></div>
<div class="line"><a id="l01827" name="l01827"></a><span class="lineno"> 1827</span><span class="comment">// magnitude vector and the weird precondition of RelaxLinearReason().</span></div>
<div class="line"><a id="l01828" name="l01828"></a><span class="lineno"> 1828</span><span class="keywordtype">void</span> LinearProgrammingConstraint::SetImpliedLowerBoundReason(</div>
<div class="line"><a id="l01829" name="l01829"></a><span class="lineno"> 1829</span> <span class="keyword">const</span> LinearConstraint&amp; terms, IntegerValue slack) {</div>
<div class="line"><a id="l01830" name="l01830"></a><span class="lineno"> 1830</span> integer_reason_.clear();</div>
<div class="line"><a id="l01831" name="l01831"></a><span class="lineno"> 1831</span> std::vector&lt;IntegerValue&gt; magnitudes;</div>
<div class="line"><a id="l01832" name="l01832"></a><span class="lineno"> 1832</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = terms.vars.size();</div>
<div class="line"><a id="l01833" name="l01833"></a><span class="lineno"> 1833</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a id="l01834" name="l01834"></a><span class="lineno"> 1834</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = terms.vars[i];</div>
<div class="line"><a id="l01835" name="l01835"></a><span class="lineno"> 1835</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = terms.coeffs[i];</div>
<div class="line"><a id="l01836" name="l01836"></a><span class="lineno"> 1836</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, 0);</div>
<div class="line"><a id="l01837" name="l01837"></a><span class="lineno"> 1837</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> &gt; 0) {</div>
<div class="line"><a id="l01838" name="l01838"></a><span class="lineno"> 1838</span> magnitudes.push_back(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l01839" name="l01839"></a><span class="lineno"> 1839</span> integer_reason_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01840" name="l01840"></a><span class="lineno"> 1840</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01841" name="l01841"></a><span class="lineno"> 1841</span> magnitudes.push_back(-<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l01842" name="l01842"></a><span class="lineno"> 1842</span> integer_reason_.push_back(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l01843" name="l01843"></a><span class="lineno"> 1843</span> }</div>
<div class="line"><a id="l01844" name="l01844"></a><span class="lineno"> 1844</span> }</div>
<div class="line"><a id="l01845" name="l01845"></a><span class="lineno"> 1845</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(slack, 0);</div>
<div class="line"><a id="l01846" name="l01846"></a><span class="lineno"> 1846</span> <span class="keywordflow">if</span> (slack &gt; 0) {</div>
<div class="line"><a id="l01847" name="l01847"></a><span class="lineno"> 1847</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(slack, magnitudes, &amp;integer_reason_);</div>
<div class="line"><a id="l01848" name="l01848"></a><span class="lineno"> 1848</span> }</div>
<div class="line"><a id="l01849" name="l01849"></a><span class="lineno"> 1849</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#adfce09ac65fc660f8a4f019f4072c6a7">RemoveLevelZeroBounds</a>(&amp;integer_reason_);</div>
<div class="line"><a id="l01850" name="l01850"></a><span class="lineno"> 1850</span>}</div>
<div class="line"><a id="l01851" name="l01851"></a><span class="lineno"> 1851</span> </div>
<div class="line"><a id="l01852" name="l01852"></a><span class="lineno"> 1852</span>std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt;</div>
<div class="line"><a id="l01853" name="l01853"></a><span class="lineno"> 1853</span>LinearProgrammingConstraint::ScaleLpMultiplier(</div>
<div class="line"><a id="l01854" name="l01854"></a><span class="lineno"> 1854</span> <span class="keywordtype">bool</span> take_objective_into_account,</div>
<div class="line"><a id="l01855" name="l01855"></a><span class="lineno"> 1855</span> <span class="keyword">const</span> std::vector&lt;std::pair&lt;RowIndex, double&gt;&gt;&amp; lp_multipliers,</div>
<div class="line"><a id="l01856" name="l01856"></a><span class="lineno"> 1856</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>* scaling, <span class="keywordtype">int</span> max_pow)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l01857" name="l01857"></a><span class="lineno"> 1857</span> <span class="keywordtype">double</span> max_sum = 0.0;</div>
<div class="line"><a id="l01858" name="l01858"></a><span class="lineno"> 1858</span> tmp_cp_multipliers_.clear();</div>
<div class="line"><a id="l01859" name="l01859"></a><span class="lineno"> 1859</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;RowIndex, double&gt;&amp; p : lp_multipliers) {</div>
<div class="line"><a id="l01860" name="l01860"></a><span class="lineno"> 1860</span> <span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = p.first;</div>
<div class="line"><a id="l01861" name="l01861"></a><span class="lineno"> 1861</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> lp_multi = p.second;</div>
<div class="line"><a id="l01862" name="l01862"></a><span class="lineno"> 1862</span> </div>
<div class="line"><a id="l01863" name="l01863"></a><span class="lineno"> 1863</span> <span class="comment">// We ignore small values since these are likely errors and will not</span></div>
<div class="line"><a id="l01864" name="l01864"></a><span class="lineno"> 1864</span> <span class="comment">// contribute much to the new lp constraint anyway.</span></div>
<div class="line"><a id="l01865" name="l01865"></a><span class="lineno"> 1865</span> <span class="keywordflow">if</span> (std::abs(lp_multi) &lt; kZeroTolerance) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01866" name="l01866"></a><span class="lineno"> 1866</span> </div>
<div class="line"><a id="l01867" name="l01867"></a><span class="lineno"> 1867</span> <span class="comment">// Remove trivial bad cases.</span></div>
<div class="line"><a id="l01868" name="l01868"></a><span class="lineno"> 1868</span> <span class="comment">//</span></div>
<div class="line"><a id="l01869" name="l01869"></a><span class="lineno"> 1869</span> <span class="comment">// TODO(user): It might be better (when possible) to use the OPTIMAL row</span></div>
<div class="line"><a id="l01870" name="l01870"></a><span class="lineno"> 1870</span> <span class="comment">// status since in most situation we do want the constraint we add to be</span></div>
<div class="line"><a id="l01871" name="l01871"></a><span class="lineno"> 1871</span> <span class="comment">// tight under the current LP solution. Only for infeasible problem we might</span></div>
<div class="line"><a id="l01872" name="l01872"></a><span class="lineno"> 1872</span> <span class="comment">// not have access to the status.</span></div>
<div class="line"><a id="l01873" name="l01873"></a><span class="lineno"> 1873</span> <span class="keywordflow">if</span> (lp_multi &gt; 0.0 &amp;&amp; integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub &gt;= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l01874" name="l01874"></a><span class="lineno"> 1874</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01875" name="l01875"></a><span class="lineno"> 1875</span> }</div>
<div class="line"><a id="l01876" name="l01876"></a><span class="lineno"> 1876</span> <span class="keywordflow">if</span> (lp_multi &lt; 0.0 &amp;&amp; integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb &lt;= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a id="l01877" name="l01877"></a><span class="lineno"> 1877</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01878" name="l01878"></a><span class="lineno"> 1878</span> }</div>
<div class="line"><a id="l01879" name="l01879"></a><span class="lineno"> 1879</span> </div>
<div class="line"><a id="l01880" name="l01880"></a><span class="lineno"> 1880</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> cp_multi = scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ad59ff81132bc4f1ac9759c7bf20e6964">UnscaleDualValue</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, lp_multi);</div>
<div class="line"><a id="l01881" name="l01881"></a><span class="lineno"> 1881</span> tmp_cp_multipliers_.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, cp_multi});</div>
<div class="line"><a id="l01882" name="l01882"></a><span class="lineno"> 1882</span> max_sum += <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(infinity_norms_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]) * std::abs(cp_multi);</div>
<div class="line"><a id="l01883" name="l01883"></a><span class="lineno"> 1883</span> }</div>
<div class="line"><a id="l01884" name="l01884"></a><span class="lineno"> 1884</span> </div>
<div class="line"><a id="l01885" name="l01885"></a><span class="lineno"> 1885</span> <span class="comment">// This behave exactly like if we had another &quot;objective&quot; constraint with</span></div>
<div class="line"><a id="l01886" name="l01886"></a><span class="lineno"> 1886</span> <span class="comment">// an lp_multi of 1.0 and a cp_multi of 1.0.</span></div>
<div class="line"><a id="l01887" name="l01887"></a><span class="lineno"> 1887</span> <span class="keywordflow">if</span> (take_objective_into_account) {</div>
<div class="line"><a id="l01888" name="l01888"></a><span class="lineno"> 1888</span> max_sum += <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(objective_infinity_norm_);</div>
<div class="line"><a id="l01889" name="l01889"></a><span class="lineno"> 1889</span> }</div>
<div class="line"><a id="l01890" name="l01890"></a><span class="lineno"> 1890</span> </div>
<div class="line"><a id="l01891" name="l01891"></a><span class="lineno"> 1891</span> *scaling = 1.0;</div>
<div class="line"><a id="l01892" name="l01892"></a><span class="lineno"> 1892</span> std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt; integer_multipliers;</div>
<div class="line"><a id="l01893" name="l01893"></a><span class="lineno"> 1893</span> <span class="keywordflow">if</span> (max_sum == 0.0) {</div>
<div class="line"><a id="l01894" name="l01894"></a><span class="lineno"> 1894</span> <span class="comment">// Empty linear combinaison.</span></div>
<div class="line"><a id="l01895" name="l01895"></a><span class="lineno"> 1895</span> <span class="keywordflow">return</span> integer_multipliers;</div>
<div class="line"><a id="l01896" name="l01896"></a><span class="lineno"> 1896</span> }</div>
<div class="line"><a id="l01897" name="l01897"></a><span class="lineno"> 1897</span> </div>
<div class="line"><a id="l01898" name="l01898"></a><span class="lineno"> 1898</span> <span class="comment">// We want max_sum * scaling to be &lt;= 2 ^ max_pow and fit on an int64_t.</span></div>
<div class="line"><a id="l01899" name="l01899"></a><span class="lineno"> 1899</span> <span class="comment">// We use a power of 2 as this seems to work better.</span></div>
<div class="line"><a id="l01900" name="l01900"></a><span class="lineno"> 1900</span> <span class="keyword">const</span> <span class="keywordtype">double</span> threshold = std::ldexp(1, max_pow) / max_sum;</div>
<div class="line"><a id="l01901" name="l01901"></a><span class="lineno"> 1901</span> <span class="keywordflow">if</span> (threshold &lt; 1.0) {</div>
<div class="line"><a id="l01902" name="l01902"></a><span class="lineno"> 1902</span> <span class="comment">// TODO(user): we currently do not support scaling down, so we just abort</span></div>
<div class="line"><a id="l01903" name="l01903"></a><span class="lineno"> 1903</span> <span class="comment">// in this case.</span></div>
<div class="line"><a id="l01904" name="l01904"></a><span class="lineno"> 1904</span> <span class="keywordflow">return</span> integer_multipliers;</div>
<div class="line"><a id="l01905" name="l01905"></a><span class="lineno"> 1905</span> }</div>
<div class="line"><a id="l01906" name="l01906"></a><span class="lineno"> 1906</span> <span class="keywordflow">while</span> (2 * *scaling &lt;= threshold) *scaling *= 2;</div>
<div class="line"><a id="l01907" name="l01907"></a><span class="lineno"> 1907</span> </div>
<div class="line"><a id="l01908" name="l01908"></a><span class="lineno"> 1908</span> <span class="comment">// Scale the multipliers by *scaling.</span></div>
<div class="line"><a id="l01909" name="l01909"></a><span class="lineno"> 1909</span> <span class="comment">//</span></div>
<div class="line"><a id="l01910" name="l01910"></a><span class="lineno"> 1910</span> <span class="comment">// TODO(user): Maybe use int128 to avoid overflow?</span></div>
<div class="line"><a id="l01911" name="l01911"></a><span class="lineno"> 1911</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : tmp_cp_multipliers_) {</div>
<div class="line"><a id="l01912" name="l01912"></a><span class="lineno"> 1912</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>(std::round(entry.second * (*scaling)));</div>
<div class="line"><a id="l01913" name="l01913"></a><span class="lineno"> 1913</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> != 0) integer_multipliers.push_back({entry.first, <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>});</div>
<div class="line"><a id="l01914" name="l01914"></a><span class="lineno"> 1914</span> }</div>
<div class="line"><a id="l01915" name="l01915"></a><span class="lineno"> 1915</span> <span class="keywordflow">return</span> integer_multipliers;</div>
<div class="line"><a id="l01916" name="l01916"></a><span class="lineno"> 1916</span>}</div>
<div class="line"><a id="l01917" name="l01917"></a><span class="lineno"> 1917</span> </div>
<div class="line"><a id="l01918" name="l01918"></a><span class="lineno"> 1918</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::ComputeNewLinearConstraint(</div>
<div class="line"><a id="l01919" name="l01919"></a><span class="lineno"> 1919</span> <span class="keyword">const</span> std::vector&lt;std::pair&lt;RowIndex, IntegerValue&gt;&gt;&amp; integer_multipliers,</div>
<div class="line"><a id="l01920" name="l01920"></a><span class="lineno"> 1920</span> ScatteredIntegerVector* scattered_vector, IntegerValue* <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l01921" name="l01921"></a><span class="lineno"> 1921</span> <span class="comment">// Initialize the new constraint.</span></div>
<div class="line"><a id="l01922" name="l01922"></a><span class="lineno"> 1922</span> *<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> = 0;</div>
<div class="line"><a id="l01923" name="l01923"></a><span class="lineno"> 1923</span> scattered_vector-&gt;ClearAndResize(integer_variables_.size());</div>
<div class="line"><a id="l01924" name="l01924"></a><span class="lineno"> 1924</span> </div>
<div class="line"><a id="l01925" name="l01925"></a><span class="lineno"> 1925</span> <span class="comment">// Compute the new constraint by taking the linear combination given by</span></div>
<div class="line"><a id="l01926" name="l01926"></a><span class="lineno"> 1926</span> <span class="comment">// integer_multipliers of the integer constraints in integer_lp_.</span></div>
<div class="line"><a id="l01927" name="l01927"></a><span class="lineno"> 1927</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> std::pair&lt;RowIndex, IntegerValue&gt; term : integer_multipliers) {</div>
<div class="line"><a id="l01928" name="l01928"></a><span class="lineno"> 1928</span> <span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = term.first;</div>
<div class="line"><a id="l01929" name="l01929"></a><span class="lineno"> 1929</span> <span class="keyword">const</span> IntegerValue multiplier = term.second;</div>
<div class="line"><a id="l01930" name="l01930"></a><span class="lineno"> 1930</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, integer_lp_.size());</div>
<div class="line"><a id="l01931" name="l01931"></a><span class="lineno"> 1931</span> </div>
<div class="line"><a id="l01932" name="l01932"></a><span class="lineno"> 1932</span> <span class="comment">// Update the constraint.</span></div>
<div class="line"><a id="l01933" name="l01933"></a><span class="lineno"> 1933</span> <span class="keywordflow">if</span> (!scattered_vector-&gt;AddLinearExpressionMultiple(</div>
<div class="line"><a id="l01934" name="l01934"></a><span class="lineno"> 1934</span> multiplier, integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].terms)) {</div>
<div class="line"><a id="l01935" name="l01935"></a><span class="lineno"> 1935</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01936" name="l01936"></a><span class="lineno"> 1936</span> }</div>
<div class="line"><a id="l01937" name="l01937"></a><span class="lineno"> 1937</span> </div>
<div class="line"><a id="l01938" name="l01938"></a><span class="lineno"> 1938</span> <span class="comment">// Update the upper bound.</span></div>
<div class="line"><a id="l01939" name="l01939"></a><span class="lineno"> 1939</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> =</div>
<div class="line"><a id="l01940" name="l01940"></a><span class="lineno"> 1940</span> multiplier &gt; 0 ? integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub : integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb;</div>
<div class="line"><a id="l01941" name="l01941"></a><span class="lineno"> 1941</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(multiplier, <a class="code hl_variable" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>, <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l01942" name="l01942"></a><span class="lineno"> 1942</span> }</div>
<div class="line"><a id="l01943" name="l01943"></a><span class="lineno"> 1943</span> </div>
<div class="line"><a id="l01944" name="l01944"></a><span class="lineno"> 1944</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l01945" name="l01945"></a><span class="lineno"> 1945</span>}</div>
<div class="line"><a id="l01946" name="l01946"></a><span class="lineno"> 1946</span> </div>
<div class="line"><a id="l01947" name="l01947"></a><span class="lineno"> 1947</span><span class="comment">// TODO(user): no need to update the multipliers.</span></div>
<div class="line"><a id="l01948" name="l01948"></a><span class="lineno"> 1948</span><span class="keywordtype">void</span> LinearProgrammingConstraint::AdjustNewLinearConstraint(</div>
<div class="line"><a id="l01949" name="l01949"></a><span class="lineno"> 1949</span> std::vector&lt;std::pair&lt;glop::RowIndex, IntegerValue&gt;&gt;* integer_multipliers,</div>
<div class="line"><a id="l01950" name="l01950"></a><span class="lineno"> 1950</span> ScatteredIntegerVector* scattered_vector, IntegerValue* <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l01951" name="l01951"></a><span class="lineno"> 1951</span> <span class="keyword">const</span> IntegerValue kMaxWantedCoeff(1e18);</div>
<div class="line"><a id="l01952" name="l01952"></a><span class="lineno"> 1952</span> <span class="keywordflow">for</span> (std::pair&lt;RowIndex, IntegerValue&gt;&amp; term : *integer_multipliers) {</div>
<div class="line"><a id="l01953" name="l01953"></a><span class="lineno"> 1953</span> <span class="keyword">const</span> RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = term.first;</div>
<div class="line"><a id="l01954" name="l01954"></a><span class="lineno"> 1954</span> <span class="keyword">const</span> IntegerValue multiplier = term.second;</div>
<div class="line"><a id="l01955" name="l01955"></a><span class="lineno"> 1955</span> <span class="keywordflow">if</span> (multiplier == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l01956" name="l01956"></a><span class="lineno"> 1956</span> </div>
<div class="line"><a id="l01957" name="l01957"></a><span class="lineno"> 1957</span> <span class="comment">// We will only allow change of the form &quot;multiplier += to_add&quot; with to_add</span></div>
<div class="line"><a id="l01958" name="l01958"></a><span class="lineno"> 1958</span> <span class="comment">// in [-negative_limit, positive_limit].</span></div>
<div class="line"><a id="l01959" name="l01959"></a><span class="lineno"> 1959</span> IntegerValue negative_limit = kMaxWantedCoeff;</div>
<div class="line"><a id="l01960" name="l01960"></a><span class="lineno"> 1960</span> IntegerValue positive_limit = kMaxWantedCoeff;</div>
<div class="line"><a id="l01961" name="l01961"></a><span class="lineno"> 1961</span> </div>
<div class="line"><a id="l01962" name="l01962"></a><span class="lineno"> 1962</span> <span class="comment">// Make sure we never change the sign of the multiplier, except if the</span></div>
<div class="line"><a id="l01963" name="l01963"></a><span class="lineno"> 1963</span> <span class="comment">// row is an equality in which case we don&#39;t care.</span></div>
<div class="line"><a id="l01964" name="l01964"></a><span class="lineno"> 1964</span> <span class="keywordflow">if</span> (integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub != integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb) {</div>
<div class="line"><a id="l01965" name="l01965"></a><span class="lineno"> 1965</span> <span class="keywordflow">if</span> (multiplier &gt; 0) {</div>
<div class="line"><a id="l01966" name="l01966"></a><span class="lineno"> 1966</span> negative_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(negative_limit, multiplier);</div>
<div class="line"><a id="l01967" name="l01967"></a><span class="lineno"> 1967</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01968" name="l01968"></a><span class="lineno"> 1968</span> positive_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(positive_limit, -multiplier);</div>
<div class="line"><a id="l01969" name="l01969"></a><span class="lineno"> 1969</span> }</div>
<div class="line"><a id="l01970" name="l01970"></a><span class="lineno"> 1970</span> }</div>
<div class="line"><a id="l01971" name="l01971"></a><span class="lineno"> 1971</span> </div>
<div class="line"><a id="l01972" name="l01972"></a><span class="lineno"> 1972</span> <span class="comment">// Make sure upper_bound + to_add * row_bound never overflow.</span></div>
<div class="line"><a id="l01973" name="l01973"></a><span class="lineno"> 1973</span> <span class="keyword">const</span> IntegerValue row_bound =</div>
<div class="line"><a id="l01974" name="l01974"></a><span class="lineno"> 1974</span> multiplier &gt; 0 ? integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].ub : integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].lb;</div>
<div class="line"><a id="l01975" name="l01975"></a><span class="lineno"> 1975</span> <span class="keywordflow">if</span> (row_bound != 0) {</div>
<div class="line"><a id="l01976" name="l01976"></a><span class="lineno"> 1976</span> <span class="keyword">const</span> IntegerValue limit1 = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(</div>
<div class="line"><a id="l01977" name="l01977"></a><span class="lineno"> 1977</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(IntegerValue(0), kMaxWantedCoeff - <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(*<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>)),</div>
<div class="line"><a id="l01978" name="l01978"></a><span class="lineno"> 1978</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(row_bound));</div>
<div class="line"><a id="l01979" name="l01979"></a><span class="lineno"> 1979</span> <span class="keyword">const</span> IntegerValue limit2 =</div>
<div class="line"><a id="l01980" name="l01980"></a><span class="lineno"> 1980</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(kMaxWantedCoeff, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(row_bound));</div>
<div class="line"><a id="l01981" name="l01981"></a><span class="lineno"> 1981</span> <span class="keywordflow">if</span> ((*<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> &gt; 0) == (row_bound &gt; 0)) { <span class="comment">// Same sign.</span></div>
<div class="line"><a id="l01982" name="l01982"></a><span class="lineno"> 1982</span> positive_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(positive_limit, limit1);</div>
<div class="line"><a id="l01983" name="l01983"></a><span class="lineno"> 1983</span> negative_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(negative_limit, limit2);</div>
<div class="line"><a id="l01984" name="l01984"></a><span class="lineno"> 1984</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l01985" name="l01985"></a><span class="lineno"> 1985</span> negative_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(negative_limit, limit1);</div>
<div class="line"><a id="l01986" name="l01986"></a><span class="lineno"> 1986</span> positive_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(positive_limit, limit2);</div>
<div class="line"><a id="l01987" name="l01987"></a><span class="lineno"> 1987</span> }</div>
<div class="line"><a id="l01988" name="l01988"></a><span class="lineno"> 1988</span> }</div>
<div class="line"><a id="l01989" name="l01989"></a><span class="lineno"> 1989</span> </div>
<div class="line"><a id="l01990" name="l01990"></a><span class="lineno"> 1990</span> <span class="comment">// If we add the row to the scattered_vector, diff will indicate by how much</span></div>
<div class="line"><a id="l01991" name="l01991"></a><span class="lineno"> 1991</span> <span class="comment">// |upper_bound - ImpliedLB(scattered_vector)| will change. That correspond</span></div>
<div class="line"><a id="l01992" name="l01992"></a><span class="lineno"> 1992</span> <span class="comment">// to increasing the multiplier by 1.</span></div>
<div class="line"><a id="l01993" name="l01993"></a><span class="lineno"> 1993</span> <span class="comment">//</span></div>
<div class="line"><a id="l01994" name="l01994"></a><span class="lineno"> 1994</span> <span class="comment">// At this stage, we are not sure computing sum coeff * bound will not</span></div>
<div class="line"><a id="l01995" name="l01995"></a><span class="lineno"> 1995</span> <span class="comment">// overflow, so we use floating point numbers. It is fine to do so since</span></div>
<div class="line"><a id="l01996" name="l01996"></a><span class="lineno"> 1996</span> <span class="comment">// this is not directly involved in the actual exact constraint generation:</span></div>
<div class="line"><a id="l01997" name="l01997"></a><span class="lineno"> 1997</span> <span class="comment">// these variables are just used in an heuristic.</span></div>
<div class="line"><a id="l01998" name="l01998"></a><span class="lineno"> 1998</span> <span class="keywordtype">double</span> positive_diff = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(row_bound);</div>
<div class="line"><a id="l01999" name="l01999"></a><span class="lineno"> 1999</span> <span class="keywordtype">double</span> negative_diff = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(row_bound);</div>
<div class="line"><a id="l02000" name="l02000"></a><span class="lineno"> 2000</span> </div>
<div class="line"><a id="l02001" name="l02001"></a><span class="lineno"> 2001</span> <span class="comment">// TODO(user): we could relax a bit some of the condition and allow a sign</span></div>
<div class="line"><a id="l02002" name="l02002"></a><span class="lineno"> 2002</span> <span class="comment">// change. It is just trickier to compute the diff when we allow such</span></div>
<div class="line"><a id="l02003" name="l02003"></a><span class="lineno"> 2003</span> <span class="comment">// changes.</span></div>
<div class="line"><a id="l02004" name="l02004"></a><span class="lineno"> 2004</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> entry : integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].terms) {</div>
<div class="line"><a id="l02005" name="l02005"></a><span class="lineno"> 2005</span> <span class="keyword">const</span> ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = entry.first;</div>
<div class="line"><a id="l02006" name="l02006"></a><span class="lineno"> 2006</span> <span class="keyword">const</span> IntegerValue <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = entry.second;</div>
<div class="line"><a id="l02007" name="l02007"></a><span class="lineno"> 2007</span> <span class="keyword">const</span> IntegerValue abs_coef = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>);</div>
<div class="line"><a id="l02008" name="l02008"></a><span class="lineno"> 2008</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, 0);</div>
<div class="line"><a id="l02009" name="l02009"></a><span class="lineno"> 2009</span> </div>
<div class="line"><a id="l02010" name="l02010"></a><span class="lineno"> 2010</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>.value()];</div>
<div class="line"><a id="l02011" name="l02011"></a><span class="lineno"> 2011</span> <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02012" name="l02012"></a><span class="lineno"> 2012</span> <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02013" name="l02013"></a><span class="lineno"> 2013</span> </div>
<div class="line"><a id="l02014" name="l02014"></a><span class="lineno"> 2014</span> <span class="comment">// Moving a variable away from zero seems to improve the bound even</span></div>
<div class="line"><a id="l02015" name="l02015"></a><span class="lineno"> 2015</span> <span class="comment">// if it reduces the number of non-zero. Note that this is because of</span></div>
<div class="line"><a id="l02016" name="l02016"></a><span class="lineno"> 2016</span> <span class="comment">// this that positive_diff and negative_diff are not the same.</span></div>
<div class="line"><a id="l02017" name="l02017"></a><span class="lineno"> 2017</span> <span class="keyword">const</span> IntegerValue current = (*scattered_vector)[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l02018" name="l02018"></a><span class="lineno"> 2018</span> <span class="keywordflow">if</span> (current == 0) {</div>
<div class="line"><a id="l02019" name="l02019"></a><span class="lineno"> 2019</span> <span class="keyword">const</span> IntegerValue overflow_limit(</div>
<div class="line"><a id="l02020" name="l02020"></a><span class="lineno"> 2020</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(kMaxWantedCoeff, abs_coef));</div>
<div class="line"><a id="l02021" name="l02021"></a><span class="lineno"> 2021</span> positive_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(positive_limit, overflow_limit);</div>
<div class="line"><a id="l02022" name="l02022"></a><span class="lineno"> 2022</span> negative_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(negative_limit, overflow_limit);</div>
<div class="line"><a id="l02023" name="l02023"></a><span class="lineno"> 2023</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> &gt; 0) {</div>
<div class="line"><a id="l02024" name="l02024"></a><span class="lineno"> 2024</span> positive_diff -= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb);</div>
<div class="line"><a id="l02025" name="l02025"></a><span class="lineno"> 2025</span> negative_diff -= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub);</div>
<div class="line"><a id="l02026" name="l02026"></a><span class="lineno"> 2026</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02027" name="l02027"></a><span class="lineno"> 2027</span> positive_diff -= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(ub);</div>
<div class="line"><a id="l02028" name="l02028"></a><span class="lineno"> 2028</span> negative_diff -= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(lb);</div>
<div class="line"><a id="l02029" name="l02029"></a><span class="lineno"> 2029</span> }</div>
<div class="line"><a id="l02030" name="l02030"></a><span class="lineno"> 2030</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02031" name="l02031"></a><span class="lineno"> 2031</span> }</div>
<div class="line"><a id="l02032" name="l02032"></a><span class="lineno"> 2032</span> </div>
<div class="line"><a id="l02033" name="l02033"></a><span class="lineno"> 2033</span> <span class="comment">// We don&#39;t want to change the sign of current (except if the variable is</span></div>
<div class="line"><a id="l02034" name="l02034"></a><span class="lineno"> 2034</span> <span class="comment">// fixed) or to have an overflow.</span></div>
<div class="line"><a id="l02035" name="l02035"></a><span class="lineno"> 2035</span> <span class="comment">//</span></div>
<div class="line"><a id="l02036" name="l02036"></a><span class="lineno"> 2036</span> <span class="comment">// Corner case:</span></div>
<div class="line"><a id="l02037" name="l02037"></a><span class="lineno"> 2037</span> <span class="comment">// - IntTypeAbs(current) can be larger than kMaxWantedCoeff!</span></div>
<div class="line"><a id="l02038" name="l02038"></a><span class="lineno"> 2038</span> <span class="comment">// - The code assumes that 2 * kMaxWantedCoeff do not overflow.</span></div>
<div class="line"><a id="l02039" name="l02039"></a><span class="lineno"> 2039</span> <span class="keyword">const</span> IntegerValue current_magnitude = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(current);</div>
<div class="line"><a id="l02040" name="l02040"></a><span class="lineno"> 2040</span> <span class="keyword">const</span> IntegerValue other_direction_limit = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(</div>
<div class="line"><a id="l02041" name="l02041"></a><span class="lineno"> 2041</span> lb == ub</div>
<div class="line"><a id="l02042" name="l02042"></a><span class="lineno"> 2042</span> ? kMaxWantedCoeff + <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(current_magnitude,</div>
<div class="line"><a id="l02043" name="l02043"></a><span class="lineno"> 2043</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> - kMaxWantedCoeff)</div>
<div class="line"><a id="l02044" name="l02044"></a><span class="lineno"> 2044</span> : current_magnitude,</div>
<div class="line"><a id="l02045" name="l02045"></a><span class="lineno"> 2045</span> abs_coef);</div>
<div class="line"><a id="l02046" name="l02046"></a><span class="lineno"> 2046</span> <span class="keyword">const</span> IntegerValue same_direction_limit(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(</div>
<div class="line"><a id="l02047" name="l02047"></a><span class="lineno"> 2047</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(IntegerValue(0), kMaxWantedCoeff - current_magnitude),</div>
<div class="line"><a id="l02048" name="l02048"></a><span class="lineno"> 2048</span> abs_coef));</div>
<div class="line"><a id="l02049" name="l02049"></a><span class="lineno"> 2049</span> <span class="keywordflow">if</span> ((current &gt; 0) == (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> &gt; 0)) { <span class="comment">// Same sign.</span></div>
<div class="line"><a id="l02050" name="l02050"></a><span class="lineno"> 2050</span> negative_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(negative_limit, other_direction_limit);</div>
<div class="line"><a id="l02051" name="l02051"></a><span class="lineno"> 2051</span> positive_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(positive_limit, same_direction_limit);</div>
<div class="line"><a id="l02052" name="l02052"></a><span class="lineno"> 2052</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02053" name="l02053"></a><span class="lineno"> 2053</span> negative_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(negative_limit, same_direction_limit);</div>
<div class="line"><a id="l02054" name="l02054"></a><span class="lineno"> 2054</span> positive_limit = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(positive_limit, other_direction_limit);</div>
<div class="line"><a id="l02055" name="l02055"></a><span class="lineno"> 2055</span> }</div>
<div class="line"><a id="l02056" name="l02056"></a><span class="lineno"> 2056</span> </div>
<div class="line"><a id="l02057" name="l02057"></a><span class="lineno"> 2057</span> <span class="comment">// This is how diff change.</span></div>
<div class="line"><a id="l02058" name="l02058"></a><span class="lineno"> 2058</span> <span class="keyword">const</span> IntegerValue implied = current &gt; 0 ? lb : ub;</div>
<div class="line"><a id="l02059" name="l02059"></a><span class="lineno"> 2059</span> <span class="keywordflow">if</span> (implied != 0) {</div>
<div class="line"><a id="l02060" name="l02060"></a><span class="lineno"> 2060</span> positive_diff -= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(implied);</div>
<div class="line"><a id="l02061" name="l02061"></a><span class="lineno"> 2061</span> negative_diff -= <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>) * <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(implied);</div>
<div class="line"><a id="l02062" name="l02062"></a><span class="lineno"> 2062</span> }</div>
<div class="line"><a id="l02063" name="l02063"></a><span class="lineno"> 2063</span> }</div>
<div class="line"><a id="l02064" name="l02064"></a><span class="lineno"> 2064</span> </div>
<div class="line"><a id="l02065" name="l02065"></a><span class="lineno"> 2065</span> <span class="comment">// Only add a multiple of this row if it tighten the final constraint.</span></div>
<div class="line"><a id="l02066" name="l02066"></a><span class="lineno"> 2066</span> <span class="comment">// The positive_diff/negative_diff are supposed to be integer modulo the</span></div>
<div class="line"><a id="l02067" name="l02067"></a><span class="lineno"> 2067</span> <span class="comment">// double precision, so we only add a multiple if they seems far away from</span></div>
<div class="line"><a id="l02068" name="l02068"></a><span class="lineno"> 2068</span> <span class="comment">// zero.</span></div>
<div class="line"><a id="l02069" name="l02069"></a><span class="lineno"> 2069</span> IntegerValue to_add(0);</div>
<div class="line"><a id="l02070" name="l02070"></a><span class="lineno"> 2070</span> <span class="keywordflow">if</span> (positive_diff &lt;= -1.0 &amp;&amp; positive_limit &gt; 0) {</div>
<div class="line"><a id="l02071" name="l02071"></a><span class="lineno"> 2071</span> to_add = positive_limit;</div>
<div class="line"><a id="l02072" name="l02072"></a><span class="lineno"> 2072</span> }</div>
<div class="line"><a id="l02073" name="l02073"></a><span class="lineno"> 2073</span> <span class="keywordflow">if</span> (negative_diff &gt;= 1.0 &amp;&amp; negative_limit &gt; 0) {</div>
<div class="line"><a id="l02074" name="l02074"></a><span class="lineno"> 2074</span> <span class="comment">// Pick this if it is better than the positive sign.</span></div>
<div class="line"><a id="l02075" name="l02075"></a><span class="lineno"> 2075</span> <span class="keywordflow">if</span> (to_add == 0 ||</div>
<div class="line"><a id="l02076" name="l02076"></a><span class="lineno"> 2076</span> std::abs(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(negative_limit) * negative_diff) &gt;</div>
<div class="line"><a id="l02077" name="l02077"></a><span class="lineno"> 2077</span> std::abs(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(positive_limit) * positive_diff)) {</div>
<div class="line"><a id="l02078" name="l02078"></a><span class="lineno"> 2078</span> to_add = -negative_limit;</div>
<div class="line"><a id="l02079" name="l02079"></a><span class="lineno"> 2079</span> }</div>
<div class="line"><a id="l02080" name="l02080"></a><span class="lineno"> 2080</span> }</div>
<div class="line"><a id="l02081" name="l02081"></a><span class="lineno"> 2081</span> <span class="keywordflow">if</span> (to_add != 0) {</div>
<div class="line"><a id="l02082" name="l02082"></a><span class="lineno"> 2082</span> term.second += to_add;</div>
<div class="line"><a id="l02083" name="l02083"></a><span class="lineno"> 2083</span> *<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> += to_add * row_bound;</div>
<div class="line"><a id="l02084" name="l02084"></a><span class="lineno"> 2084</span> </div>
<div class="line"><a id="l02085" name="l02085"></a><span class="lineno"> 2085</span> <span class="comment">// TODO(user): we could avoid checking overflow here, but this is likely</span></div>
<div class="line"><a id="l02086" name="l02086"></a><span class="lineno"> 2086</span> <span class="comment">// not in the hot loop.</span></div>
<div class="line"><a id="l02087" name="l02087"></a><span class="lineno"> 2087</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(scattered_vector-&gt;AddLinearExpressionMultiple(</div>
<div class="line"><a id="l02088" name="l02088"></a><span class="lineno"> 2088</span> to_add, integer_lp_[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>].terms));</div>
<div class="line"><a id="l02089" name="l02089"></a><span class="lineno"> 2089</span> }</div>
<div class="line"><a id="l02090" name="l02090"></a><span class="lineno"> 2090</span> }</div>
<div class="line"><a id="l02091" name="l02091"></a><span class="lineno"> 2091</span>}</div>
<div class="line"><a id="l02092" name="l02092"></a><span class="lineno"> 2092</span> </div>
<div class="line"><a id="l02093" name="l02093"></a><span class="lineno"> 2093</span><span class="comment">// The &quot;exact&quot; computation go as follow:</span></div>
<div class="line"><a id="l02094" name="l02094"></a><span class="lineno"> 2094</span><span class="comment">//</span></div>
<div class="line"><a id="l02095" name="l02095"></a><span class="lineno"> 2095</span><span class="comment">// Given any INTEGER linear combination of the LP constraints, we can create a</span></div>
<div class="line"><a id="l02096" name="l02096"></a><span class="lineno"> 2096</span><span class="comment">// new integer constraint that is valid (its computation must not overflow</span></div>
<div class="line"><a id="l02097" name="l02097"></a><span class="lineno"> 2097</span><span class="comment">// though). Lets call this &quot;linear_combination &lt;= ub&quot;. We can then always add to</span></div>
<div class="line"><a id="l02098" name="l02098"></a><span class="lineno"> 2098</span><span class="comment">// it the inequality &quot;objective_terms &lt;= objective_var&quot;, so we get:</span></div>
<div class="line"><a id="l02099" name="l02099"></a><span class="lineno"> 2099</span><span class="comment">// ImpliedLB(objective_terms + linear_combination) - ub &lt;= objective_var.</span></div>
<div class="line"><a id="l02100" name="l02100"></a><span class="lineno"> 2100</span><span class="comment">// where ImpliedLB() is computed from the variable current bounds.</span></div>
<div class="line"><a id="l02101" name="l02101"></a><span class="lineno"> 2101</span><span class="comment">//</span></div>
<div class="line"><a id="l02102" name="l02102"></a><span class="lineno"> 2102</span><span class="comment">// Now, if we use for the linear combination and approximation of the optimal</span></div>
<div class="line"><a id="l02103" name="l02103"></a><span class="lineno"> 2103</span><span class="comment">// negated dual LP values (by scaling them and rounding them to integer), we</span></div>
<div class="line"><a id="l02104" name="l02104"></a><span class="lineno"> 2104</span><span class="comment">// will get an EXACT objective lower bound that is more or less the same as the</span></div>
<div class="line"><a id="l02105" name="l02105"></a><span class="lineno"> 2105</span><span class="comment">// inexact bound given by the LP relaxation. This allows to derive exact reasons</span></div>
<div class="line"><a id="l02106" name="l02106"></a><span class="lineno"> 2106</span><span class="comment">// for any propagation done by this constraint.</span></div>
<div class="line"><a id="l02107" name="l02107"></a><span class="lineno"> 2107</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::ExactLpReasonning() {</div>
<div class="line"><a id="l02108" name="l02108"></a><span class="lineno"> 2108</span> <span class="comment">// Clear old reason and deductions.</span></div>
<div class="line"><a id="l02109" name="l02109"></a><span class="lineno"> 2109</span> integer_reason_.clear();</div>
<div class="line"><a id="l02110" name="l02110"></a><span class="lineno"> 2110</span> deductions_.clear();</div>
<div class="line"><a id="l02111" name="l02111"></a><span class="lineno"> 2111</span> deductions_reason_.clear();</div>
<div class="line"><a id="l02112" name="l02112"></a><span class="lineno"> 2112</span> </div>
<div class="line"><a id="l02113" name="l02113"></a><span class="lineno"> 2113</span> <span class="comment">// The row multipliers will be the negation of the LP duals.</span></div>
<div class="line"><a id="l02114" name="l02114"></a><span class="lineno"> 2114</span> <span class="comment">//</span></div>
<div class="line"><a id="l02115" name="l02115"></a><span class="lineno"> 2115</span> <span class="comment">// TODO(user): Provide and use a sparse API in Glop to get the duals.</span></div>
<div class="line"><a id="l02116" name="l02116"></a><span class="lineno"> 2116</span> <span class="keyword">const</span> RowIndex num_rows = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ace91e968c3b7369698c7563ca1c9c6e8">GetProblemNumRows</a>();</div>
<div class="line"><a id="l02117" name="l02117"></a><span class="lineno"> 2117</span> tmp_lp_multipliers_.clear();</div>
<div class="line"><a id="l02118" name="l02118"></a><span class="lineno"> 2118</span> <span class="keywordflow">for</span> (RowIndex <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; num_rows; ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l02119" name="l02119"></a><span class="lineno"> 2119</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = -simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa4c5e551e5a00ff4ae97d8467184221b">GetDualValue</a>(<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l02120" name="l02120"></a><span class="lineno"> 2120</span> <span class="keywordflow">if</span> (std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) &lt; kZeroTolerance) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02121" name="l02121"></a><span class="lineno"> 2121</span> tmp_lp_multipliers_.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>});</div>
<div class="line"><a id="l02122" name="l02122"></a><span class="lineno"> 2122</span> }</div>
<div class="line"><a id="l02123" name="l02123"></a><span class="lineno"> 2123</span> </div>
<div class="line"><a id="l02124" name="l02124"></a><span class="lineno"> 2124</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> scaling;</div>
<div class="line"><a id="l02125" name="l02125"></a><span class="lineno"> 2125</span> tmp_integer_multipliers_ = ScaleLpMultiplier(</div>
<div class="line"><a id="l02126" name="l02126"></a><span class="lineno"> 2126</span> <span class="comment">/*take_objective_into_account=*/</span><span class="keyword">true</span>, tmp_lp_multipliers_, &amp;scaling);</div>
<div class="line"><a id="l02127" name="l02127"></a><span class="lineno"> 2127</span> </div>
<div class="line"><a id="l02128" name="l02128"></a><span class="lineno"> 2128</span> IntegerValue rc_ub;</div>
<div class="line"><a id="l02129" name="l02129"></a><span class="lineno"> 2129</span> <span class="keywordflow">if</span> (!ComputeNewLinearConstraint(tmp_integer_multipliers_,</div>
<div class="line"><a id="l02130" name="l02130"></a><span class="lineno"> 2130</span> &amp;tmp_scattered_vector_, &amp;rc_ub)) {</div>
<div class="line"><a id="l02131" name="l02131"></a><span class="lineno"> 2131</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Issue while computing the exact LP reason. Aborting.&quot;</span>;</div>
<div class="line"><a id="l02132" name="l02132"></a><span class="lineno"> 2132</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l02133" name="l02133"></a><span class="lineno"> 2133</span> }</div>
<div class="line"><a id="l02134" name="l02134"></a><span class="lineno"> 2134</span> </div>
<div class="line"><a id="l02135" name="l02135"></a><span class="lineno"> 2135</span> <span class="comment">// The &quot;objective constraint&quot; behave like if the unscaled cp multiplier was</span></div>
<div class="line"><a id="l02136" name="l02136"></a><span class="lineno"> 2136</span> <span class="comment">// 1.0, so we will multiply it by this number and add it to reduced_costs.</span></div>
<div class="line"><a id="l02137" name="l02137"></a><span class="lineno"> 2137</span> <span class="keyword">const</span> IntegerValue obj_scale(std::round(scaling));</div>
<div class="line"><a id="l02138" name="l02138"></a><span class="lineno"> 2138</span> <span class="keywordflow">if</span> (obj_scale == 0) {</div>
<div class="line"><a id="l02139" name="l02139"></a><span class="lineno"> 2139</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Overflow during exact LP reasoning. scaling=&quot;</span> &lt;&lt; scaling;</div>
<div class="line"><a id="l02140" name="l02140"></a><span class="lineno"> 2140</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l02141" name="l02141"></a><span class="lineno"> 2141</span> }</div>
<div class="line"><a id="l02142" name="l02142"></a><span class="lineno"> 2142</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a65d000f780742581ff592c56c0a6e261">AddLinearExpressionMultiple</a>(obj_scale,</div>
<div class="line"><a id="l02143" name="l02143"></a><span class="lineno"> 2143</span> integer_objective_));</div>
<div class="line"><a id="l02144" name="l02144"></a><span class="lineno"> 2144</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(-obj_scale, integer_objective_offset_, &amp;rc_ub));</div>
<div class="line"><a id="l02145" name="l02145"></a><span class="lineno"> 2145</span> AdjustNewLinearConstraint(&amp;tmp_integer_multipliers_, &amp;tmp_scattered_vector_,</div>
<div class="line"><a id="l02146" name="l02146"></a><span class="lineno"> 2146</span> &amp;rc_ub);</div>
<div class="line"><a id="l02147" name="l02147"></a><span class="lineno"> 2147</span> </div>
<div class="line"><a id="l02148" name="l02148"></a><span class="lineno"> 2148</span> <span class="comment">// Create the IntegerSumLE that will allow to propagate the objective and more</span></div>
<div class="line"><a id="l02149" name="l02149"></a><span class="lineno"> 2149</span> <span class="comment">// generally do the reduced cost fixing.</span></div>
<div class="line"><a id="l02150" name="l02150"></a><span class="lineno"> 2150</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9">ConvertToLinearConstraint</a>(integer_variables_, rc_ub,</div>
<div class="line"><a id="l02151" name="l02151"></a><span class="lineno"> 2151</span> &amp;tmp_constraint_);</div>
<div class="line"><a id="l02152" name="l02152"></a><span class="lineno"> 2152</span> tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.push_back(objective_cp_);</div>
<div class="line"><a id="l02153" name="l02153"></a><span class="lineno"> 2153</span> tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>.push_back(-obj_scale);</div>
<div class="line"><a id="l02154" name="l02154"></a><span class="lineno"> 2154</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(&amp;tmp_constraint_);</div>
<div class="line"><a id="l02155" name="l02155"></a><span class="lineno"> 2155</span> PreventOverflow(&amp;tmp_constraint_);</div>
<div class="line"><a id="l02156" name="l02156"></a><span class="lineno"> 2156</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!PossibleOverflow(tmp_constraint_));</div>
<div class="line"><a id="l02157" name="l02157"></a><span class="lineno"> 2157</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a1afbe8d162a9cba17a520812ec6d3dd4">DebugCheckConstraint</a>(tmp_constraint_));</div>
<div class="line"><a id="l02158" name="l02158"></a><span class="lineno"> 2158</span> </div>
<div class="line"><a id="l02159" name="l02159"></a><span class="lineno"> 2159</span> <span class="comment">// Corner case where prevent overflow removed all terms.</span></div>
<div class="line"><a id="l02160" name="l02160"></a><span class="lineno"> 2160</span> <span class="keywordflow">if</span> (tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.empty()) {</div>
<div class="line"><a id="l02161" name="l02161"></a><span class="lineno"> 2161</span> trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ab932e215c6dff3fe8f077d4d6a409c0c">MutableConflict</a>()-&gt;clear();</div>
<div class="line"><a id="l02162" name="l02162"></a><span class="lineno"> 2162</span> <span class="keywordflow">return</span> tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &gt;= 0;</div>
<div class="line"><a id="l02163" name="l02163"></a><span class="lineno"> 2163</span> }</div>
<div class="line"><a id="l02164" name="l02164"></a><span class="lineno"> 2164</span> </div>
<div class="line"><a id="l02165" name="l02165"></a><span class="lineno"> 2165</span> IntegerSumLE* cp_constraint =</div>
<div class="line"><a id="l02166" name="l02166"></a><span class="lineno"> 2166</span> <span class="keyword">new</span> IntegerSumLE({}, tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>,</div>
<div class="line"><a id="l02167" name="l02167"></a><span class="lineno"> 2167</span> tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>, model_);</div>
<div class="line"><a id="l02168" name="l02168"></a><span class="lineno"> 2168</span> <span class="keywordflow">if</span> (trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() == 0) {</div>
<div class="line"><a id="l02169" name="l02169"></a><span class="lineno"> 2169</span> <span class="comment">// Since we will never ask the reason for a constraint at level 0, we just</span></div>
<div class="line"><a id="l02170" name="l02170"></a><span class="lineno"> 2170</span> <span class="comment">// keep the last one.</span></div>
<div class="line"><a id="l02171" name="l02171"></a><span class="lineno"> 2171</span> optimal_constraints_.clear();</div>
<div class="line"><a id="l02172" name="l02172"></a><span class="lineno"> 2172</span> }</div>
<div class="line"><a id="l02173" name="l02173"></a><span class="lineno"> 2173</span> optimal_constraints_.emplace_back(cp_constraint);</div>
<div class="line"><a id="l02174" name="l02174"></a><span class="lineno"> 2174</span> rev_optimal_constraints_size_ = optimal_constraints_.size();</div>
<div class="line"><a id="l02175" name="l02175"></a><span class="lineno"> 2175</span> <span class="keywordflow">if</span> (!cp_constraint-&gt;PropagateAtLevelZero()) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l02176" name="l02176"></a><span class="lineno"> 2176</span> <span class="keywordflow">return</span> cp_constraint-&gt;Propagate();</div>
<div class="line"><a id="l02177" name="l02177"></a><span class="lineno"> 2177</span>}</div>
<div class="line"><a id="l02178" name="l02178"></a><span class="lineno"> 2178</span> </div>
<div class="line"><a id="l02179" name="l02179"></a><span class="lineno"> 2179</span><span class="keywordtype">bool</span> LinearProgrammingConstraint::FillExactDualRayReason() {</div>
<div class="line"><a id="l02180" name="l02180"></a><span class="lineno"> 2180</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> scaling;</div>
<div class="line"><a id="l02181" name="l02181"></a><span class="lineno"> 2181</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">glop::DenseColumn</a> ray = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a66da73868da92948f57a83e261066ca6">GetDualRay</a>();</div>
<div class="line"><a id="l02182" name="l02182"></a><span class="lineno"> 2182</span> tmp_lp_multipliers_.clear();</div>
<div class="line"><a id="l02183" name="l02183"></a><span class="lineno"> 2183</span> <span class="keywordflow">for</span> (RowIndex <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; ray.size(); ++<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a id="l02184" name="l02184"></a><span class="lineno"> 2184</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = ray[<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
<div class="line"><a id="l02185" name="l02185"></a><span class="lineno"> 2185</span> <span class="keywordflow">if</span> (std::abs(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) &lt; kZeroTolerance) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02186" name="l02186"></a><span class="lineno"> 2186</span> tmp_lp_multipliers_.push_back({<a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>});</div>
<div class="line"><a id="l02187" name="l02187"></a><span class="lineno"> 2187</span> }</div>
<div class="line"><a id="l02188" name="l02188"></a><span class="lineno"> 2188</span> tmp_integer_multipliers_ = ScaleLpMultiplier(</div>
<div class="line"><a id="l02189" name="l02189"></a><span class="lineno"> 2189</span> <span class="comment">/*take_objective_into_account=*/</span><span class="keyword">false</span>, tmp_lp_multipliers_, &amp;scaling);</div>
<div class="line"><a id="l02190" name="l02190"></a><span class="lineno"> 2190</span> </div>
<div class="line"><a id="l02191" name="l02191"></a><span class="lineno"> 2191</span> IntegerValue new_constraint_ub;</div>
<div class="line"><a id="l02192" name="l02192"></a><span class="lineno"> 2192</span> <span class="keywordflow">if</span> (!ComputeNewLinearConstraint(tmp_integer_multipliers_,</div>
<div class="line"><a id="l02193" name="l02193"></a><span class="lineno"> 2193</span> &amp;tmp_scattered_vector_, &amp;new_constraint_ub)) {</div>
<div class="line"><a id="l02194" name="l02194"></a><span class="lineno"> 2194</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Isse while computing the exact dual ray reason. Aborting.&quot;</span>;</div>
<div class="line"><a id="l02195" name="l02195"></a><span class="lineno"> 2195</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l02196" name="l02196"></a><span class="lineno"> 2196</span> }</div>
<div class="line"><a id="l02197" name="l02197"></a><span class="lineno"> 2197</span> </div>
<div class="line"><a id="l02198" name="l02198"></a><span class="lineno"> 2198</span> AdjustNewLinearConstraint(&amp;tmp_integer_multipliers_, &amp;tmp_scattered_vector_,</div>
<div class="line"><a id="l02199" name="l02199"></a><span class="lineno"> 2199</span> &amp;new_constraint_ub);</div>
<div class="line"><a id="l02200" name="l02200"></a><span class="lineno"> 2200</span> </div>
<div class="line"><a id="l02201" name="l02201"></a><span class="lineno"> 2201</span> tmp_scattered_vector_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9">ConvertToLinearConstraint</a>(</div>
<div class="line"><a id="l02202" name="l02202"></a><span class="lineno"> 2202</span> integer_variables_, new_constraint_ub, &amp;tmp_constraint_);</div>
<div class="line"><a id="l02203" name="l02203"></a><span class="lineno"> 2203</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">DivideByGCD</a>(&amp;tmp_constraint_);</div>
<div class="line"><a id="l02204" name="l02204"></a><span class="lineno"> 2204</span> PreventOverflow(&amp;tmp_constraint_);</div>
<div class="line"><a id="l02205" name="l02205"></a><span class="lineno"> 2205</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!PossibleOverflow(tmp_constraint_));</div>
<div class="line"><a id="l02206" name="l02206"></a><span class="lineno"> 2206</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a1afbe8d162a9cba17a520812ec6d3dd4">DebugCheckConstraint</a>(tmp_constraint_));</div>
<div class="line"><a id="l02207" name="l02207"></a><span class="lineno"> 2207</span> </div>
<div class="line"><a id="l02208" name="l02208"></a><span class="lineno"> 2208</span> <span class="keyword">const</span> IntegerValue implied_lb = GetImpliedLowerBound(tmp_constraint_);</div>
<div class="line"><a id="l02209" name="l02209"></a><span class="lineno"> 2209</span> <span class="keywordflow">if</span> (implied_lb &lt;= tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>) {</div>
<div class="line"><a id="l02210" name="l02210"></a><span class="lineno"> 2210</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;LP exact dual ray not infeasible,&quot;</span></div>
<div class="line"><a id="l02211" name="l02211"></a><span class="lineno"> 2211</span> &lt;&lt; <span class="stringliteral">&quot; implied_lb: &quot;</span> &lt;&lt; implied_lb.value() / scaling</div>
<div class="line"><a id="l02212" name="l02212"></a><span class="lineno"> 2212</span> &lt;&lt; <span class="stringliteral">&quot; ub: &quot;</span> &lt;&lt; tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value() / scaling;</div>
<div class="line"><a id="l02213" name="l02213"></a><span class="lineno"> 2213</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l02214" name="l02214"></a><span class="lineno"> 2214</span> }</div>
<div class="line"><a id="l02215" name="l02215"></a><span class="lineno"> 2215</span> <span class="keyword">const</span> IntegerValue slack = (implied_lb - tmp_constraint_.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>) - 1;</div>
<div class="line"><a id="l02216" name="l02216"></a><span class="lineno"> 2216</span> SetImpliedLowerBoundReason(tmp_constraint_, slack);</div>
<div class="line"><a id="l02217" name="l02217"></a><span class="lineno"> 2217</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l02218" name="l02218"></a><span class="lineno"> 2218</span>}</div>
<div class="line"><a id="l02219" name="l02219"></a><span class="lineno"> 2219</span> </div>
<div class="line"><a id="l02220" name="l02220"></a><span class="lineno"> 2220</span>int64_t LinearProgrammingConstraint::CalculateDegeneracy() {</div>
<div class="line"><a id="l02221" name="l02221"></a><span class="lineno"> 2221</span> <span class="keyword">const</span> glop::ColIndex num_vars = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac226833fbf53fdb3fb7b6ef9d89a0e4c">GetProblemNumCols</a>();</div>
<div class="line"><a id="l02222" name="l02222"></a><span class="lineno"> 2222</span> <span class="keywordtype">int</span> num_non_basic_with_zero_rc = 0;</div>
<div class="line"><a id="l02223" name="l02223"></a><span class="lineno"> 2223</span> <span class="keywordflow">for</span> (glop::ColIndex i(0); i &lt; num_vars; ++i) {</div>
<div class="line"><a id="l02224" name="l02224"></a><span class="lineno"> 2224</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rc = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a52c80b8028f6d54f8b2c02da3aac7510">GetReducedCost</a>(i);</div>
<div class="line"><a id="l02225" name="l02225"></a><span class="lineno"> 2225</span> <span class="keywordflow">if</span> (rc != 0.0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02226" name="l02226"></a><span class="lineno"> 2226</span> <span class="keywordflow">if</span> (simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a4802169fde637478bebd1b420eec8ff8">GetVariableStatus</a>(i) == <a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358ae4ac03f6c9f00665644e868dd1fb9f1e">glop::VariableStatus::BASIC</a>) {</div>
<div class="line"><a id="l02227" name="l02227"></a><span class="lineno"> 2227</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02228" name="l02228"></a><span class="lineno"> 2228</span> }</div>
<div class="line"><a id="l02229" name="l02229"></a><span class="lineno"> 2229</span> num_non_basic_with_zero_rc++;</div>
<div class="line"><a id="l02230" name="l02230"></a><span class="lineno"> 2230</span> }</div>
<div class="line"><a id="l02231" name="l02231"></a><span class="lineno"> 2231</span> <span class="keyword">const</span> int64_t num_cols = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac226833fbf53fdb3fb7b6ef9d89a0e4c">GetProblemNumCols</a>().value();</div>
<div class="line"><a id="l02232" name="l02232"></a><span class="lineno"> 2232</span> is_degenerate_ = num_non_basic_with_zero_rc &gt;= 0.3 * num_cols;</div>
<div class="line"><a id="l02233" name="l02233"></a><span class="lineno"> 2233</span> <span class="keywordflow">return</span> num_non_basic_with_zero_rc;</div>
<div class="line"><a id="l02234" name="l02234"></a><span class="lineno"> 2234</span>}</div>
<div class="line"><a id="l02235" name="l02235"></a><span class="lineno"> 2235</span> </div>
<div class="line"><a id="l02236" name="l02236"></a><span class="lineno"> 2236</span><span class="keywordtype">void</span> LinearProgrammingConstraint::ReducedCostStrengtheningDeductions(</div>
<div class="line"><a id="l02237" name="l02237"></a><span class="lineno"> 2237</span> <span class="keywordtype">double</span> cp_objective_delta) {</div>
<div class="line"><a id="l02238" name="l02238"></a><span class="lineno"> 2238</span> deductions_.clear();</div>
<div class="line"><a id="l02239" name="l02239"></a><span class="lineno"> 2239</span> </div>
<div class="line"><a id="l02240" name="l02240"></a><span class="lineno"> 2240</span> <span class="comment">// TRICKY: while simplex_.GetObjectiveValue() use the objective scaling factor</span></div>
<div class="line"><a id="l02241" name="l02241"></a><span class="lineno"> 2241</span> <span class="comment">// stored in the lp_data_, all the other functions like GetReducedCost() or</span></div>
<div class="line"><a id="l02242" name="l02242"></a><span class="lineno"> 2242</span> <span class="comment">// GetVariableValue() do not.</span></div>
<div class="line"><a id="l02243" name="l02243"></a><span class="lineno"> 2243</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lp_objective_delta =</div>
<div class="line"><a id="l02244" name="l02244"></a><span class="lineno"> 2244</span> cp_objective_delta / lp_data_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#adf55bb4fcaab95674f072cb528d426a0">objective_scaling_factor</a>();</div>
<div class="line"><a id="l02245" name="l02245"></a><span class="lineno"> 2245</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l02246" name="l02246"></a><span class="lineno"> 2246</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02247" name="l02247"></a><span class="lineno"> 2247</span> <span class="keyword">const</span> IntegerVariable cp_var = integer_variables_[i];</div>
<div class="line"><a id="l02248" name="l02248"></a><span class="lineno"> 2248</span> <span class="keyword">const</span> glop::ColIndex lp_var = glop::ColIndex(i);</div>
<div class="line"><a id="l02249" name="l02249"></a><span class="lineno"> 2249</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rc = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a52c80b8028f6d54f8b2c02da3aac7510">GetReducedCost</a>(lp_var);</div>
<div class="line"><a id="l02250" name="l02250"></a><span class="lineno"> 2250</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = simplex_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_revised_simplex.html#a201108c6e8d9fb5104697bdd0a8bd085">GetVariableValue</a>(lp_var);</div>
<div class="line"><a id="l02251" name="l02251"></a><span class="lineno"> 2251</span> </div>
<div class="line"><a id="l02252" name="l02252"></a><span class="lineno"> 2252</span> <span class="keywordflow">if</span> (rc == 0.0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02253" name="l02253"></a><span class="lineno"> 2253</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lp_other_bound = <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> + lp_objective_delta / rc;</div>
<div class="line"><a id="l02254" name="l02254"></a><span class="lineno"> 2254</span> <span class="keyword">const</span> <span class="keywordtype">double</span> cp_other_bound =</div>
<div class="line"><a id="l02255" name="l02255"></a><span class="lineno"> 2255</span> scaler_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a60d41c66b603be0ec7517d437e5c63ec">UnscaleVariableValue</a>(lp_var, lp_other_bound);</div>
<div class="line"><a id="l02256" name="l02256"></a><span class="lineno"> 2256</span> </div>
<div class="line"><a id="l02257" name="l02257"></a><span class="lineno"> 2257</span> <span class="keywordflow">if</span> (rc &gt; kLpEpsilon) {</div>
<div class="line"><a id="l02258" name="l02258"></a><span class="lineno"> 2258</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(cp_var));</div>
<div class="line"><a id="l02259" name="l02259"></a><span class="lineno"> 2259</span> <span class="keyword">const</span> <span class="keywordtype">double</span> new_ub = std::floor(cp_other_bound + kCpEpsilon);</div>
<div class="line"><a id="l02260" name="l02260"></a><span class="lineno"> 2260</span> <span class="keywordflow">if</span> (new_ub &lt; ub) {</div>
<div class="line"><a id="l02261" name="l02261"></a><span class="lineno"> 2261</span> <span class="comment">// TODO(user): Because rc &gt; kLpEpsilon, the lower_bound of cp_var</span></div>
<div class="line"><a id="l02262" name="l02262"></a><span class="lineno"> 2262</span> <span class="comment">// will be part of the reason returned by FillReducedCostsReason(), but</span></div>
<div class="line"><a id="l02263" name="l02263"></a><span class="lineno"> 2263</span> <span class="comment">// we actually do not need it here. Same below.</span></div>
<div class="line"><a id="l02264" name="l02264"></a><span class="lineno"> 2264</span> <span class="keyword">const</span> IntegerValue new_ub_int(<span class="keyword">static_cast&lt;</span>IntegerValue<span class="keyword">&gt;</span>(new_ub));</div>
<div class="line"><a id="l02265" name="l02265"></a><span class="lineno"> 2265</span> deductions_.push_back(<a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(cp_var, new_ub_int));</div>
<div class="line"><a id="l02266" name="l02266"></a><span class="lineno"> 2266</span> }</div>
<div class="line"><a id="l02267" name="l02267"></a><span class="lineno"> 2267</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (rc &lt; -kLpEpsilon) {</div>
<div class="line"><a id="l02268" name="l02268"></a><span class="lineno"> 2268</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(cp_var));</div>
<div class="line"><a id="l02269" name="l02269"></a><span class="lineno"> 2269</span> <span class="keyword">const</span> <span class="keywordtype">double</span> new_lb = std::ceil(cp_other_bound - kCpEpsilon);</div>
<div class="line"><a id="l02270" name="l02270"></a><span class="lineno"> 2270</span> <span class="keywordflow">if</span> (new_lb &gt; lb) {</div>
<div class="line"><a id="l02271" name="l02271"></a><span class="lineno"> 2271</span> <span class="keyword">const</span> IntegerValue new_lb_int(<span class="keyword">static_cast&lt;</span>IntegerValue<span class="keyword">&gt;</span>(new_lb));</div>
<div class="line"><a id="l02272" name="l02272"></a><span class="lineno"> 2272</span> deductions_.push_back(</div>
<div class="line"><a id="l02273" name="l02273"></a><span class="lineno"> 2273</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(cp_var, new_lb_int));</div>
<div class="line"><a id="l02274" name="l02274"></a><span class="lineno"> 2274</span> }</div>
<div class="line"><a id="l02275" name="l02275"></a><span class="lineno"> 2275</span> }</div>
<div class="line"><a id="l02276" name="l02276"></a><span class="lineno"> 2276</span> }</div>
<div class="line"><a id="l02277" name="l02277"></a><span class="lineno"> 2277</span>}</div>
<div class="line"><a id="l02278" name="l02278"></a><span class="lineno"> 2278</span> </div>
<div class="line"><a id="l02279" name="l02279"></a><span class="lineno"> 2279</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l02280" name="l02280"></a><span class="lineno"> 2280</span> </div>
<div class="line"><a id="l02281" name="l02281"></a><span class="lineno"> 2281</span><span class="comment">// Add a cut of the form Sum_{outgoing arcs from S} lp &gt;= rhs_lower_bound.</span></div>
<div class="line"><a id="l02282" name="l02282"></a><span class="lineno"> 2282</span><span class="comment">//</span></div>
<div class="line"><a id="l02283" name="l02283"></a><span class="lineno"> 2283</span><span class="comment">// Note that we used to also add the same cut for the incoming arcs, but because</span></div>
<div class="line"><a id="l02284" name="l02284"></a><span class="lineno"> 2284</span><span class="comment">// of flow conservation on these problems, the outgoing flow is always the same</span></div>
<div class="line"><a id="l02285" name="l02285"></a><span class="lineno"> 2285</span><span class="comment">// as the incoming flow, so adding this extra cut doesn&#39;t seem relevant.</span></div>
<div class="line"><a id="l02286" name="l02286"></a><span class="lineno"> 2286</span><span class="keywordtype">void</span> AddOutgoingCut(</div>
<div class="line"><a id="l02287" name="l02287"></a><span class="lineno"> 2287</span> <span class="keywordtype">int</span> num_nodes, <span class="keywordtype">int</span> subset_size, <span class="keyword">const</span> std::vector&lt;bool&gt;&amp; in_subset,</div>
<div class="line"><a id="l02288" name="l02288"></a><span class="lineno"> 2288</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; tails, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; heads,</div>
<div class="line"><a id="l02289" name="l02289"></a><span class="lineno"> 2289</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals,</div>
<div class="line"><a id="l02290" name="l02290"></a><span class="lineno"> 2290</span> <span class="keyword">const</span> std::vector&lt;double&gt;&amp; literal_lp_values, int64_t rhs_lower_bound,</div>
<div class="line"><a id="l02291" name="l02291"></a><span class="lineno"> 2291</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; lp_values,</div>
<div class="line"><a id="l02292" name="l02292"></a><span class="lineno"> 2292</span> LinearConstraintManager* manager, Model* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02293" name="l02293"></a><span class="lineno"> 2293</span> <span class="comment">// A node is said to be optional if it can be excluded from the subcircuit,</span></div>
<div class="line"><a id="l02294" name="l02294"></a><span class="lineno"> 2294</span> <span class="comment">// in which case there is a self-loop on that node.</span></div>
<div class="line"><a id="l02295" name="l02295"></a><span class="lineno"> 2295</span> <span class="comment">// If there are optional nodes, use extended formula:</span></div>
<div class="line"><a id="l02296" name="l02296"></a><span class="lineno"> 2296</span> <span class="comment">// sum(cut) &gt;= 1 - optional_loop_in - optional_loop_out</span></div>
<div class="line"><a id="l02297" name="l02297"></a><span class="lineno"> 2297</span> <span class="comment">// where optional_loop_in&#39;s node is in subset, optional_loop_out&#39;s is out.</span></div>
<div class="line"><a id="l02298" name="l02298"></a><span class="lineno"> 2298</span> <span class="comment">// TODO(user): Favor optional loops fixed to zero at root.</span></div>
<div class="line"><a id="l02299" name="l02299"></a><span class="lineno"> 2299</span> <span class="keywordtype">int</span> num_optional_nodes_in = 0;</div>
<div class="line"><a id="l02300" name="l02300"></a><span class="lineno"> 2300</span> <span class="keywordtype">int</span> num_optional_nodes_out = 0;</div>
<div class="line"><a id="l02301" name="l02301"></a><span class="lineno"> 2301</span> <span class="keywordtype">int</span> optional_loop_in = -1;</div>
<div class="line"><a id="l02302" name="l02302"></a><span class="lineno"> 2302</span> <span class="keywordtype">int</span> optional_loop_out = -1;</div>
<div class="line"><a id="l02303" name="l02303"></a><span class="lineno"> 2303</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; tails.size(); ++i) {</div>
<div class="line"><a id="l02304" name="l02304"></a><span class="lineno"> 2304</span> <span class="keywordflow">if</span> (tails[i] != heads[i]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02305" name="l02305"></a><span class="lineno"> 2305</span> <span class="keywordflow">if</span> (in_subset[tails[i]]) {</div>
<div class="line"><a id="l02306" name="l02306"></a><span class="lineno"> 2306</span> num_optional_nodes_in++;</div>
<div class="line"><a id="l02307" name="l02307"></a><span class="lineno"> 2307</span> <span class="keywordflow">if</span> (optional_loop_in == -1 ||</div>
<div class="line"><a id="l02308" name="l02308"></a><span class="lineno"> 2308</span> literal_lp_values[i] &lt; literal_lp_values[optional_loop_in]) {</div>
<div class="line"><a id="l02309" name="l02309"></a><span class="lineno"> 2309</span> optional_loop_in = i;</div>
<div class="line"><a id="l02310" name="l02310"></a><span class="lineno"> 2310</span> }</div>
<div class="line"><a id="l02311" name="l02311"></a><span class="lineno"> 2311</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02312" name="l02312"></a><span class="lineno"> 2312</span> num_optional_nodes_out++;</div>
<div class="line"><a id="l02313" name="l02313"></a><span class="lineno"> 2313</span> <span class="keywordflow">if</span> (optional_loop_out == -1 ||</div>
<div class="line"><a id="l02314" name="l02314"></a><span class="lineno"> 2314</span> literal_lp_values[i] &lt; literal_lp_values[optional_loop_out]) {</div>
<div class="line"><a id="l02315" name="l02315"></a><span class="lineno"> 2315</span> optional_loop_out = i;</div>
<div class="line"><a id="l02316" name="l02316"></a><span class="lineno"> 2316</span> }</div>
<div class="line"><a id="l02317" name="l02317"></a><span class="lineno"> 2317</span> }</div>
<div class="line"><a id="l02318" name="l02318"></a><span class="lineno"> 2318</span> }</div>
<div class="line"><a id="l02319" name="l02319"></a><span class="lineno"> 2319</span> </div>
<div class="line"><a id="l02320" name="l02320"></a><span class="lineno"> 2320</span> <span class="comment">// TODO(user): The lower bound for CVRP is computed assuming all nodes must be</span></div>
<div class="line"><a id="l02321" name="l02321"></a><span class="lineno"> 2321</span> <span class="comment">// served, if it is &gt; 1 we lower it to one in the presence of optional nodes.</span></div>
<div class="line"><a id="l02322" name="l02322"></a><span class="lineno"> 2322</span> <span class="keywordflow">if</span> (num_optional_nodes_in + num_optional_nodes_out &gt; 0) {</div>
<div class="line"><a id="l02323" name="l02323"></a><span class="lineno"> 2323</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(rhs_lower_bound, 1);</div>
<div class="line"><a id="l02324" name="l02324"></a><span class="lineno"> 2324</span> rhs_lower_bound = 1;</div>
<div class="line"><a id="l02325" name="l02325"></a><span class="lineno"> 2325</span> }</div>
<div class="line"><a id="l02326" name="l02326"></a><span class="lineno"> 2326</span> </div>
<div class="line"><a id="l02327" name="l02327"></a><span class="lineno"> 2327</span> LinearConstraintBuilder outgoing(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, IntegerValue(rhs_lower_bound),</div>
<div class="line"><a id="l02328" name="l02328"></a><span class="lineno"> 2328</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div>
<div class="line"><a id="l02329" name="l02329"></a><span class="lineno"> 2329</span> <span class="keywordtype">double</span> sum_outgoing = 0.0;</div>
<div class="line"><a id="l02330" name="l02330"></a><span class="lineno"> 2330</span> </div>
<div class="line"><a id="l02331" name="l02331"></a><span class="lineno"> 2331</span> <span class="comment">// Add outgoing arcs, compute outgoing flow.</span></div>
<div class="line"><a id="l02332" name="l02332"></a><span class="lineno"> 2332</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; tails.size(); ++i) {</div>
<div class="line"><a id="l02333" name="l02333"></a><span class="lineno"> 2333</span> <span class="keywordflow">if</span> (in_subset[tails[i]] &amp;&amp; !in_subset[heads[i]]) {</div>
<div class="line"><a id="l02334" name="l02334"></a><span class="lineno"> 2334</span> sum_outgoing += literal_lp_values[i];</div>
<div class="line"><a id="l02335" name="l02335"></a><span class="lineno"> 2335</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(outgoing.AddLiteralTerm(literals[i], IntegerValue(1)));</div>
<div class="line"><a id="l02336" name="l02336"></a><span class="lineno"> 2336</span> }</div>
<div class="line"><a id="l02337" name="l02337"></a><span class="lineno"> 2337</span> }</div>
<div class="line"><a id="l02338" name="l02338"></a><span class="lineno"> 2338</span> </div>
<div class="line"><a id="l02339" name="l02339"></a><span class="lineno"> 2339</span> <span class="comment">// Support optional nodes if any.</span></div>
<div class="line"><a id="l02340" name="l02340"></a><span class="lineno"> 2340</span> <span class="keywordflow">if</span> (num_optional_nodes_in + num_optional_nodes_out &gt; 0) {</div>
<div class="line"><a id="l02341" name="l02341"></a><span class="lineno"> 2341</span> <span class="comment">// When all optionals of one side are excluded in lp solution, no cut.</span></div>
<div class="line"><a id="l02342" name="l02342"></a><span class="lineno"> 2342</span> <span class="keywordflow">if</span> (num_optional_nodes_in == subset_size &amp;&amp;</div>
<div class="line"><a id="l02343" name="l02343"></a><span class="lineno"> 2343</span> (optional_loop_in == -1 ||</div>
<div class="line"><a id="l02344" name="l02344"></a><span class="lineno"> 2344</span> literal_lp_values[optional_loop_in] &gt; 1.0 - 1e-6)) {</div>
<div class="line"><a id="l02345" name="l02345"></a><span class="lineno"> 2345</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l02346" name="l02346"></a><span class="lineno"> 2346</span> }</div>
<div class="line"><a id="l02347" name="l02347"></a><span class="lineno"> 2347</span> <span class="keywordflow">if</span> (num_optional_nodes_out == num_nodes - subset_size &amp;&amp;</div>
<div class="line"><a id="l02348" name="l02348"></a><span class="lineno"> 2348</span> (optional_loop_out == -1 ||</div>
<div class="line"><a id="l02349" name="l02349"></a><span class="lineno"> 2349</span> literal_lp_values[optional_loop_out] &gt; 1.0 - 1e-6)) {</div>
<div class="line"><a id="l02350" name="l02350"></a><span class="lineno"> 2350</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l02351" name="l02351"></a><span class="lineno"> 2351</span> }</div>
<div class="line"><a id="l02352" name="l02352"></a><span class="lineno"> 2352</span> </div>
<div class="line"><a id="l02353" name="l02353"></a><span class="lineno"> 2353</span> <span class="comment">// There is no mandatory node in subset, add optional_loop_in.</span></div>
<div class="line"><a id="l02354" name="l02354"></a><span class="lineno"> 2354</span> <span class="keywordflow">if</span> (num_optional_nodes_in == subset_size) {</div>
<div class="line"><a id="l02355" name="l02355"></a><span class="lineno"> 2355</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(</div>
<div class="line"><a id="l02356" name="l02356"></a><span class="lineno"> 2356</span> outgoing.AddLiteralTerm(literals[optional_loop_in], IntegerValue(1)));</div>
<div class="line"><a id="l02357" name="l02357"></a><span class="lineno"> 2357</span> sum_outgoing += literal_lp_values[optional_loop_in];</div>
<div class="line"><a id="l02358" name="l02358"></a><span class="lineno"> 2358</span> }</div>
<div class="line"><a id="l02359" name="l02359"></a><span class="lineno"> 2359</span> </div>
<div class="line"><a id="l02360" name="l02360"></a><span class="lineno"> 2360</span> <span class="comment">// There is no mandatory node out of subset, add optional_loop_out.</span></div>
<div class="line"><a id="l02361" name="l02361"></a><span class="lineno"> 2361</span> <span class="keywordflow">if</span> (num_optional_nodes_out == num_nodes - subset_size) {</div>
<div class="line"><a id="l02362" name="l02362"></a><span class="lineno"> 2362</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(outgoing.AddLiteralTerm(literals[optional_loop_out],</div>
<div class="line"><a id="l02363" name="l02363"></a><span class="lineno"> 2363</span> IntegerValue(1)));</div>
<div class="line"><a id="l02364" name="l02364"></a><span class="lineno"> 2364</span> sum_outgoing += literal_lp_values[optional_loop_out];</div>
<div class="line"><a id="l02365" name="l02365"></a><span class="lineno"> 2365</span> }</div>
<div class="line"><a id="l02366" name="l02366"></a><span class="lineno"> 2366</span> }</div>
<div class="line"><a id="l02367" name="l02367"></a><span class="lineno"> 2367</span> </div>
<div class="line"><a id="l02368" name="l02368"></a><span class="lineno"> 2368</span> <span class="keywordflow">if</span> (sum_outgoing &lt; rhs_lower_bound - 1e-6) {</div>
<div class="line"><a id="l02369" name="l02369"></a><span class="lineno"> 2369</span> manager-&gt;AddCut(outgoing.Build(), <span class="stringliteral">&quot;Circuit&quot;</span>, lp_values);</div>
<div class="line"><a id="l02370" name="l02370"></a><span class="lineno"> 2370</span> }</div>
<div class="line"><a id="l02371" name="l02371"></a><span class="lineno"> 2371</span>}</div>
<div class="line"><a id="l02372" name="l02372"></a><span class="lineno"> 2372</span> </div>
<div class="line"><a id="l02373" name="l02373"></a><span class="lineno"> 2373</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l02374" name="l02374"></a><span class="lineno"> 2374</span> </div>
<div class="line"><a id="l02375" name="l02375"></a><span class="lineno"> 2375</span><span class="comment">// We roughly follow the algorithm described in section 6 of &quot;The Traveling</span></div>
<div class="line"><a id="l02376" name="l02376"></a><span class="lineno"> 2376</span><span class="comment">// Salesman Problem, A computational Study&quot;, David L. Applegate, Robert E.</span></div>
<div class="line"><a id="l02377" name="l02377"></a><span class="lineno"> 2377</span><span class="comment">// Bixby, Vasek Chvatal, William J. Cook.</span></div>
<div class="line"><a id="l02378" name="l02378"></a><span class="lineno"> 2378</span><span class="comment">//</span></div>
<div class="line"><a id="l02379" name="l02379"></a><span class="lineno"> 2379</span><span class="comment">// Note that this is mainly a &quot;symmetric&quot; case algo, but it does still work for</span></div>
<div class="line"><a id="l02380" name="l02380"></a><span class="lineno"> 2380</span><span class="comment">// the asymmetric case.</span></div>
<div class="line"><a id="l02381" name="l02381"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad114b3c6ee51d854d3715a8a3be50f99"> 2381</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad114b3c6ee51d854d3715a8a3be50f99">SeparateSubtourInequalities</a>(</div>
<div class="line"><a id="l02382" name="l02382"></a><span class="lineno"> 2382</span> <span class="keywordtype">int</span> num_nodes, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; tails, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; heads,</div>
<div class="line"><a id="l02383" name="l02383"></a><span class="lineno"> 2383</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals,</div>
<div class="line"><a id="l02384" name="l02384"></a><span class="lineno"> 2384</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; lp_values,</div>
<div class="line"><a id="l02385" name="l02385"></a><span class="lineno"> 2385</span> absl::Span&lt;const int64_t&gt; demands, int64_t <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>,</div>
<div class="line"><a id="l02386" name="l02386"></a><span class="lineno"> 2386</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html">LinearConstraintManager</a>* manager, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02387" name="l02387"></a><span class="lineno"> 2387</span> <span class="keywordflow">if</span> (num_nodes &lt;= 2) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l02388" name="l02388"></a><span class="lineno"> 2388</span> </div>
<div class="line"><a id="l02389" name="l02389"></a><span class="lineno"> 2389</span> <span class="comment">// We will collect only the arcs with a positive lp_values to speed up some</span></div>
<div class="line"><a id="l02390" name="l02390"></a><span class="lineno"> 2390</span> <span class="comment">// computation below.</span></div>
<div class="line"><a id="l02391" name="l02391"></a><span class="lineno"> 2391</span> <span class="keyword">struct </span><a class="code hl_typedef" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> {</div>
<div class="line"><a id="l02392" name="l02392"></a><span class="lineno"> 2392</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>;</div>
<div class="line"><a id="l02393" name="l02393"></a><span class="lineno"> 2393</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>;</div>
<div class="line"><a id="l02394" name="l02394"></a><span class="lineno"> 2394</span> <span class="keywordtype">double</span> lp_value;</div>
<div class="line"><a id="l02395" name="l02395"></a><span class="lineno"> 2395</span> };</div>
<div class="line"><a id="l02396" name="l02396"></a><span class="lineno"> 2396</span> std::vector&lt;Arc&gt; relevant_arcs;</div>
<div class="line"><a id="l02397" name="l02397"></a><span class="lineno"> 2397</span> </div>
<div class="line"><a id="l02398" name="l02398"></a><span class="lineno"> 2398</span> <span class="comment">// Sort the arcs by non-increasing lp_values.</span></div>
<div class="line"><a id="l02399" name="l02399"></a><span class="lineno"> 2399</span> std::vector&lt;double&gt; literal_lp_values(literals.size());</div>
<div class="line"><a id="l02400" name="l02400"></a><span class="lineno"> 2400</span> std::vector&lt;std::pair&lt;double, int&gt;&gt; arc_by_decreasing_lp_values;</div>
<div class="line"><a id="l02401" name="l02401"></a><span class="lineno"> 2401</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a id="l02402" name="l02402"></a><span class="lineno"> 2402</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; literals.size(); ++i) {</div>
<div class="line"><a id="l02403" name="l02403"></a><span class="lineno"> 2403</span> <span class="keywordtype">double</span> lp_value;</div>
<div class="line"><a id="l02404" name="l02404"></a><span class="lineno"> 2404</span> <span class="keyword">const</span> IntegerVariable direct_view = encoder-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(literals[i]);</div>
<div class="line"><a id="l02405" name="l02405"></a><span class="lineno"> 2405</span> <span class="keywordflow">if</span> (direct_view != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a id="l02406" name="l02406"></a><span class="lineno"> 2406</span> lp_value = lp_values[direct_view];</div>
<div class="line"><a id="l02407" name="l02407"></a><span class="lineno"> 2407</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02408" name="l02408"></a><span class="lineno"> 2408</span> lp_value =</div>
<div class="line"><a id="l02409" name="l02409"></a><span class="lineno"> 2409</span> 1.0 - lp_values[encoder-&gt;GetLiteralView(literals[i].Negated())];</div>
<div class="line"><a id="l02410" name="l02410"></a><span class="lineno"> 2410</span> }</div>
<div class="line"><a id="l02411" name="l02411"></a><span class="lineno"> 2411</span> literal_lp_values[i] = lp_value;</div>
<div class="line"><a id="l02412" name="l02412"></a><span class="lineno"> 2412</span> </div>
<div class="line"><a id="l02413" name="l02413"></a><span class="lineno"> 2413</span> <span class="keywordflow">if</span> (lp_value &lt; 1e-6) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02414" name="l02414"></a><span class="lineno"> 2414</span> relevant_arcs.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>({tails[i], heads[i], lp_value});</div>
<div class="line"><a id="l02415" name="l02415"></a><span class="lineno"> 2415</span> arc_by_decreasing_lp_values.push_back({lp_value, i});</div>
<div class="line"><a id="l02416" name="l02416"></a><span class="lineno"> 2416</span> }</div>
<div class="line"><a id="l02417" name="l02417"></a><span class="lineno"> 2417</span> std::sort(arc_by_decreasing_lp_values.begin(),</div>
<div class="line"><a id="l02418" name="l02418"></a><span class="lineno"> 2418</span> arc_by_decreasing_lp_values.end(),</div>
<div class="line"><a id="l02419" name="l02419"></a><span class="lineno"> 2419</span> std::greater&lt;std::pair&lt;double, int&gt;&gt;());</div>
<div class="line"><a id="l02420" name="l02420"></a><span class="lineno"> 2420</span> </div>
<div class="line"><a id="l02421" name="l02421"></a><span class="lineno"> 2421</span> <span class="comment">// We will do a union-find by adding one by one the arc of the lp solution</span></div>
<div class="line"><a id="l02422" name="l02422"></a><span class="lineno"> 2422</span> <span class="comment">// in the order above. Every intermediate set during this construction will</span></div>
<div class="line"><a id="l02423" name="l02423"></a><span class="lineno"> 2423</span> <span class="comment">// be a candidate for a cut.</span></div>
<div class="line"><a id="l02424" name="l02424"></a><span class="lineno"> 2424</span> <span class="comment">//</span></div>
<div class="line"><a id="l02425" name="l02425"></a><span class="lineno"> 2425</span> <span class="comment">// In parallel to the union-find, to efficiently reconstruct these sets (at</span></div>
<div class="line"><a id="l02426" name="l02426"></a><span class="lineno"> 2426</span> <span class="comment">// most num_nodes), we construct a &quot;decomposition forest&quot; of the different</span></div>
<div class="line"><a id="l02427" name="l02427"></a><span class="lineno"> 2427</span> <span class="comment">// connected components. Note that we don&#39;t exploit any asymmetric nature of</span></div>
<div class="line"><a id="l02428" name="l02428"></a><span class="lineno"> 2428</span> <span class="comment">// the graph here. This is exactly the algo 6.3 in the book above.</span></div>
<div class="line"><a id="l02429" name="l02429"></a><span class="lineno"> 2429</span> <span class="keywordtype">int</span> num_components = num_nodes;</div>
<div class="line"><a id="l02430" name="l02430"></a><span class="lineno"> 2430</span> std::vector&lt;int&gt; parent(num_nodes);</div>
<div class="line"><a id="l02431" name="l02431"></a><span class="lineno"> 2431</span> std::vector&lt;int&gt; root(num_nodes);</div>
<div class="line"><a id="l02432" name="l02432"></a><span class="lineno"> 2432</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_nodes; ++i) {</div>
<div class="line"><a id="l02433" name="l02433"></a><span class="lineno"> 2433</span> parent[i] = i;</div>
<div class="line"><a id="l02434" name="l02434"></a><span class="lineno"> 2434</span> root[i] = i;</div>
<div class="line"><a id="l02435" name="l02435"></a><span class="lineno"> 2435</span> }</div>
<div class="line"><a id="l02436" name="l02436"></a><span class="lineno"> 2436</span> <span class="keyword">auto</span> get_root_and_compress_path = [&amp;root](<span class="keywordtype">int</span> node) {</div>
<div class="line"><a id="l02437" name="l02437"></a><span class="lineno"> 2437</span> <span class="keywordtype">int</span> r = node;</div>
<div class="line"><a id="l02438" name="l02438"></a><span class="lineno"> 2438</span> <span class="keywordflow">while</span> (root[r] != r) r = root[r];</div>
<div class="line"><a id="l02439" name="l02439"></a><span class="lineno"> 2439</span> <span class="keywordflow">while</span> (root[node] != r) {</div>
<div class="line"><a id="l02440" name="l02440"></a><span class="lineno"> 2440</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a> = root[node];</div>
<div class="line"><a id="l02441" name="l02441"></a><span class="lineno"> 2441</span> root[node] = r;</div>
<div class="line"><a id="l02442" name="l02442"></a><span class="lineno"> 2442</span> node = <a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>;</div>
<div class="line"><a id="l02443" name="l02443"></a><span class="lineno"> 2443</span> }</div>
<div class="line"><a id="l02444" name="l02444"></a><span class="lineno"> 2444</span> <span class="keywordflow">return</span> r;</div>
<div class="line"><a id="l02445" name="l02445"></a><span class="lineno"> 2445</span> };</div>
<div class="line"><a id="l02446" name="l02446"></a><span class="lineno"> 2446</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> pair : arc_by_decreasing_lp_values) {</div>
<div class="line"><a id="l02447" name="l02447"></a><span class="lineno"> 2447</span> <span class="keywordflow">if</span> (num_components == 2) <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l02448" name="l02448"></a><span class="lineno"> 2448</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a> = get_root_and_compress_path(tails[pair.second]);</div>
<div class="line"><a id="l02449" name="l02449"></a><span class="lineno"> 2449</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a> = get_root_and_compress_path(heads[pair.second]);</div>
<div class="line"><a id="l02450" name="l02450"></a><span class="lineno"> 2450</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a> != <a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>) {</div>
<div class="line"><a id="l02451" name="l02451"></a><span class="lineno"> 2451</span> <span class="comment">// Update the decomposition forest, note that the number of nodes is</span></div>
<div class="line"><a id="l02452" name="l02452"></a><span class="lineno"> 2452</span> <span class="comment">// growing.</span></div>
<div class="line"><a id="l02453" name="l02453"></a><span class="lineno"> 2453</span> <span class="keyword">const</span> <span class="keywordtype">int</span> new_node = parent.size();</div>
<div class="line"><a id="l02454" name="l02454"></a><span class="lineno"> 2454</span> parent.push_back(new_node);</div>
<div class="line"><a id="l02455" name="l02455"></a><span class="lineno"> 2455</span> parent[<a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>] = new_node;</div>
<div class="line"><a id="l02456" name="l02456"></a><span class="lineno"> 2456</span> parent[<a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>] = new_node;</div>
<div class="line"><a id="l02457" name="l02457"></a><span class="lineno"> 2457</span> --num_components;</div>
<div class="line"><a id="l02458" name="l02458"></a><span class="lineno"> 2458</span> </div>
<div class="line"><a id="l02459" name="l02459"></a><span class="lineno"> 2459</span> <span class="comment">// It is important that the union-find representative is the same node.</span></div>
<div class="line"><a id="l02460" name="l02460"></a><span class="lineno"> 2460</span> root.push_back(new_node);</div>
<div class="line"><a id="l02461" name="l02461"></a><span class="lineno"> 2461</span> root[<a class="code hl_variable" href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a>] = new_node;</div>
<div class="line"><a id="l02462" name="l02462"></a><span class="lineno"> 2462</span> root[<a class="code hl_variable" href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a>] = new_node;</div>
<div class="line"><a id="l02463" name="l02463"></a><span class="lineno"> 2463</span> }</div>
<div class="line"><a id="l02464" name="l02464"></a><span class="lineno"> 2464</span> }</div>
<div class="line"><a id="l02465" name="l02465"></a><span class="lineno"> 2465</span> </div>
<div class="line"><a id="l02466" name="l02466"></a><span class="lineno"> 2466</span> <span class="comment">// For each node in the decomposition forest, try to add a cut for the set</span></div>
<div class="line"><a id="l02467" name="l02467"></a><span class="lineno"> 2467</span> <span class="comment">// formed by the nodes and its children. To do that efficiently, we first</span></div>
<div class="line"><a id="l02468" name="l02468"></a><span class="lineno"> 2468</span> <span class="comment">// order the nodes so that for each node in a tree, the set of children forms</span></div>
<div class="line"><a id="l02469" name="l02469"></a><span class="lineno"> 2469</span> <span class="comment">// a consecutive span in the pre_order vector. This vector just lists the</span></div>
<div class="line"><a id="l02470" name="l02470"></a><span class="lineno"> 2470</span> <span class="comment">// nodes in the &quot;pre-order&quot; graph traversal order. The Spans will point inside</span></div>
<div class="line"><a id="l02471" name="l02471"></a><span class="lineno"> 2471</span> <span class="comment">// the pre_order vector, it is why we initialize it once and for all.</span></div>
<div class="line"><a id="l02472" name="l02472"></a><span class="lineno"> 2472</span> <span class="keywordtype">int</span> new_size = 0;</div>
<div class="line"><a id="l02473" name="l02473"></a><span class="lineno"> 2473</span> std::vector&lt;int&gt; pre_order(num_nodes);</div>
<div class="line"><a id="l02474" name="l02474"></a><span class="lineno"> 2474</span> std::vector&lt;absl::Span&lt;const int&gt;&gt; subsets;</div>
<div class="line"><a id="l02475" name="l02475"></a><span class="lineno"> 2475</span> {</div>
<div class="line"><a id="l02476" name="l02476"></a><span class="lineno"> 2476</span> std::vector&lt;absl::InlinedVector&lt;int, 2&gt;&gt; graph(parent.size());</div>
<div class="line"><a id="l02477" name="l02477"></a><span class="lineno"> 2477</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; parent.size(); ++i) {</div>
<div class="line"><a id="l02478" name="l02478"></a><span class="lineno"> 2478</span> <span class="keywordflow">if</span> (parent[i] != i) graph[parent[i]].push_back(i);</div>
<div class="line"><a id="l02479" name="l02479"></a><span class="lineno"> 2479</span> }</div>
<div class="line"><a id="l02480" name="l02480"></a><span class="lineno"> 2480</span> std::vector&lt;int&gt; queue;</div>
<div class="line"><a id="l02481" name="l02481"></a><span class="lineno"> 2481</span> std::vector&lt;bool&gt; seen(graph.size(), <span class="keyword">false</span>);</div>
<div class="line"><a id="l02482" name="l02482"></a><span class="lineno"> 2482</span> std::vector&lt;int&gt; start_index(parent.size());</div>
<div class="line"><a id="l02483" name="l02483"></a><span class="lineno"> 2483</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = num_nodes; i &lt; parent.size(); ++i) {</div>
<div class="line"><a id="l02484" name="l02484"></a><span class="lineno"> 2484</span> <span class="comment">// Note that because of the way we constructed &#39;parent&#39;, the graph is a</span></div>
<div class="line"><a id="l02485" name="l02485"></a><span class="lineno"> 2485</span> <span class="comment">// binary tree. This is not required for the correctness of the algorithm</span></div>
<div class="line"><a id="l02486" name="l02486"></a><span class="lineno"> 2486</span> <span class="comment">// here though.</span></div>
<div class="line"><a id="l02487" name="l02487"></a><span class="lineno"> 2487</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(graph[i].empty() || graph[i].size() == 2);</div>
<div class="line"><a id="l02488" name="l02488"></a><span class="lineno"> 2488</span> <span class="keywordflow">if</span> (parent[i] != i) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02489" name="l02489"></a><span class="lineno"> 2489</span> </div>
<div class="line"><a id="l02490" name="l02490"></a><span class="lineno"> 2490</span> <span class="comment">// Explore the subtree rooted at node i.</span></div>
<div class="line"><a id="l02491" name="l02491"></a><span class="lineno"> 2491</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!seen[i]);</div>
<div class="line"><a id="l02492" name="l02492"></a><span class="lineno"> 2492</span> queue.push_back(i);</div>
<div class="line"><a id="l02493" name="l02493"></a><span class="lineno"> 2493</span> <span class="keywordflow">while</span> (!queue.empty()) {</div>
<div class="line"><a id="l02494" name="l02494"></a><span class="lineno"> 2494</span> <span class="keyword">const</span> <span class="keywordtype">int</span> node = queue.back();</div>
<div class="line"><a id="l02495" name="l02495"></a><span class="lineno"> 2495</span> <span class="keywordflow">if</span> (seen[node]) {</div>
<div class="line"><a id="l02496" name="l02496"></a><span class="lineno"> 2496</span> queue.pop_back();</div>
<div class="line"><a id="l02497" name="l02497"></a><span class="lineno"> 2497</span> <span class="comment">// All the children of node are in the span [start, end) of the</span></div>
<div class="line"><a id="l02498" name="l02498"></a><span class="lineno"> 2498</span> <span class="comment">// pre_order vector.</span></div>
<div class="line"><a id="l02499" name="l02499"></a><span class="lineno"> 2499</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> = start_index[node];</div>
<div class="line"><a id="l02500" name="l02500"></a><span class="lineno"> 2500</span> <span class="keywordflow">if</span> (new_size - <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> &gt; 1) {</div>
<div class="line"><a id="l02501" name="l02501"></a><span class="lineno"> 2501</span> subsets.emplace_back(&amp;pre_order[<a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>], new_size - <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>);</div>
<div class="line"><a id="l02502" name="l02502"></a><span class="lineno"> 2502</span> }</div>
<div class="line"><a id="l02503" name="l02503"></a><span class="lineno"> 2503</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02504" name="l02504"></a><span class="lineno"> 2504</span> }</div>
<div class="line"><a id="l02505" name="l02505"></a><span class="lineno"> 2505</span> seen[node] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l02506" name="l02506"></a><span class="lineno"> 2506</span> start_index[node] = new_size;</div>
<div class="line"><a id="l02507" name="l02507"></a><span class="lineno"> 2507</span> <span class="keywordflow">if</span> (node &lt; num_nodes) pre_order[new_size++] = node;</div>
<div class="line"><a id="l02508" name="l02508"></a><span class="lineno"> 2508</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> child : graph[node]) {</div>
<div class="line"><a id="l02509" name="l02509"></a><span class="lineno"> 2509</span> <span class="keywordflow">if</span> (!seen[child]) queue.push_back(child);</div>
<div class="line"><a id="l02510" name="l02510"></a><span class="lineno"> 2510</span> }</div>
<div class="line"><a id="l02511" name="l02511"></a><span class="lineno"> 2511</span> }</div>
<div class="line"><a id="l02512" name="l02512"></a><span class="lineno"> 2512</span> }</div>
<div class="line"><a id="l02513" name="l02513"></a><span class="lineno"> 2513</span> }</div>
<div class="line"><a id="l02514" name="l02514"></a><span class="lineno"> 2514</span> </div>
<div class="line"><a id="l02515" name="l02515"></a><span class="lineno"> 2515</span> <span class="comment">// Compute the total demands in order to know the minimum incoming/outgoing</span></div>
<div class="line"><a id="l02516" name="l02516"></a><span class="lineno"> 2516</span> <span class="comment">// flow.</span></div>
<div class="line"><a id="l02517" name="l02517"></a><span class="lineno"> 2517</span> int64_t total_demands = 0;</div>
<div class="line"><a id="l02518" name="l02518"></a><span class="lineno"> 2518</span> <span class="keywordflow">if</span> (!demands.empty()) {</div>
<div class="line"><a id="l02519" name="l02519"></a><span class="lineno"> 2519</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> int64_t <a class="code hl_variable" href="resource_8cc.html#a29fb0dd9484d890b12b280c41c150e20">demand</a> : demands) total_demands += <a class="code hl_variable" href="resource_8cc.html#a29fb0dd9484d890b12b280c41c150e20">demand</a>;</div>
<div class="line"><a id="l02520" name="l02520"></a><span class="lineno"> 2520</span> }</div>
<div class="line"><a id="l02521" name="l02521"></a><span class="lineno"> 2521</span> </div>
<div class="line"><a id="l02522" name="l02522"></a><span class="lineno"> 2522</span> <span class="comment">// Process each subsets and add any violated cut.</span></div>
<div class="line"><a id="l02523" name="l02523"></a><span class="lineno"> 2523</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(pre_order.size(), num_nodes);</div>
<div class="line"><a id="l02524" name="l02524"></a><span class="lineno"> 2524</span> std::vector&lt;bool&gt; in_subset(num_nodes, <span class="keyword">false</span>);</div>
<div class="line"><a id="l02525" name="l02525"></a><span class="lineno"> 2525</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> absl::Span&lt;const int&gt; subset : subsets) {</div>
<div class="line"><a id="l02526" name="l02526"></a><span class="lineno"> 2526</span> <a class="code hl_define" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(subset.size(), 1);</div>
<div class="line"><a id="l02527" name="l02527"></a><span class="lineno"> 2527</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(subset.size(), num_nodes);</div>
<div class="line"><a id="l02528" name="l02528"></a><span class="lineno"> 2528</span> </div>
<div class="line"><a id="l02529" name="l02529"></a><span class="lineno"> 2529</span> <span class="comment">// These fields will be left untouched if demands.empty().</span></div>
<div class="line"><a id="l02530" name="l02530"></a><span class="lineno"> 2530</span> <span class="keywordtype">bool</span> contain_depot = <span class="keyword">false</span>;</div>
<div class="line"><a id="l02531" name="l02531"></a><span class="lineno"> 2531</span> int64_t subset_demand = 0;</div>
<div class="line"><a id="l02532" name="l02532"></a><span class="lineno"> 2532</span> </div>
<div class="line"><a id="l02533" name="l02533"></a><span class="lineno"> 2533</span> <span class="comment">// Initialize &quot;in_subset&quot; and the subset demands.</span></div>
<div class="line"><a id="l02534" name="l02534"></a><span class="lineno"> 2534</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> n : subset) {</div>
<div class="line"><a id="l02535" name="l02535"></a><span class="lineno"> 2535</span> in_subset[n] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l02536" name="l02536"></a><span class="lineno"> 2536</span> <span class="keywordflow">if</span> (!demands.empty()) {</div>
<div class="line"><a id="l02537" name="l02537"></a><span class="lineno"> 2537</span> <span class="keywordflow">if</span> (n == 0) contain_depot = <span class="keyword">true</span>;</div>
<div class="line"><a id="l02538" name="l02538"></a><span class="lineno"> 2538</span> subset_demand += demands[n];</div>
<div class="line"><a id="l02539" name="l02539"></a><span class="lineno"> 2539</span> }</div>
<div class="line"><a id="l02540" name="l02540"></a><span class="lineno"> 2540</span> }</div>
<div class="line"><a id="l02541" name="l02541"></a><span class="lineno"> 2541</span> </div>
<div class="line"><a id="l02542" name="l02542"></a><span class="lineno"> 2542</span> <span class="comment">// Compute a lower bound on the outgoing flow.</span></div>
<div class="line"><a id="l02543" name="l02543"></a><span class="lineno"> 2543</span> <span class="comment">//</span></div>
<div class="line"><a id="l02544" name="l02544"></a><span class="lineno"> 2544</span> <span class="comment">// TODO(user): This lower bound assume all nodes in subset must be served,</span></div>
<div class="line"><a id="l02545" name="l02545"></a><span class="lineno"> 2545</span> <span class="comment">// which is not the case. For TSP we do the correct thing in</span></div>
<div class="line"><a id="l02546" name="l02546"></a><span class="lineno"> 2546</span> <span class="comment">// AddOutgoingCut() but not for CVRP... Fix!!</span></div>
<div class="line"><a id="l02547" name="l02547"></a><span class="lineno"> 2547</span> <span class="comment">//</span></div>
<div class="line"><a id="l02548" name="l02548"></a><span class="lineno"> 2548</span> <span class="comment">// TODO(user): It could be very interesting to see if this &quot;min outgoing</span></div>
<div class="line"><a id="l02549" name="l02549"></a><span class="lineno"> 2549</span> <span class="comment">// flow&quot; cannot be automatically infered from the constraint in the</span></div>
<div class="line"><a id="l02550" name="l02550"></a><span class="lineno"> 2550</span> <span class="comment">// precedence graph. This might work if we assume that any kind of path</span></div>
<div class="line"><a id="l02551" name="l02551"></a><span class="lineno"> 2551</span> <span class="comment">// cumul constraint is encoded with constraints:</span></div>
<div class="line"><a id="l02552" name="l02552"></a><span class="lineno"> 2552</span> <span class="comment">// [edge =&gt; value_head &gt;= value_tail + edge_weight].</span></div>
<div class="line"><a id="l02553" name="l02553"></a><span class="lineno"> 2553</span> <span class="comment">// We could take the minimum incoming edge weight per node in the set, and</span></div>
<div class="line"><a id="l02554" name="l02554"></a><span class="lineno"> 2554</span> <span class="comment">// use the cumul variable domain to infer some capacity.</span></div>
<div class="line"><a id="l02555" name="l02555"></a><span class="lineno"> 2555</span> int64_t min_outgoing_flow = 1;</div>
<div class="line"><a id="l02556" name="l02556"></a><span class="lineno"> 2556</span> <span class="keywordflow">if</span> (!demands.empty()) {</div>
<div class="line"><a id="l02557" name="l02557"></a><span class="lineno"> 2557</span> min_outgoing_flow =</div>
<div class="line"><a id="l02558" name="l02558"></a><span class="lineno"> 2558</span> contain_depot</div>
<div class="line"><a id="l02559" name="l02559"></a><span class="lineno"> 2559</span> ? (total_demands - subset_demand + <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a> - 1) / <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a></div>
<div class="line"><a id="l02560" name="l02560"></a><span class="lineno"> 2560</span> : (subset_demand + <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a> - 1) / <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>;</div>
<div class="line"><a id="l02561" name="l02561"></a><span class="lineno"> 2561</span> }</div>
<div class="line"><a id="l02562" name="l02562"></a><span class="lineno"> 2562</span> </div>
<div class="line"><a id="l02563" name="l02563"></a><span class="lineno"> 2563</span> <span class="comment">// We still need to serve nodes with a demand of zero, and in the corner</span></div>
<div class="line"><a id="l02564" name="l02564"></a><span class="lineno"> 2564</span> <span class="comment">// case where all node in subset have a zero demand, the formula above</span></div>
<div class="line"><a id="l02565" name="l02565"></a><span class="lineno"> 2565</span> <span class="comment">// result in a min_outgoing_flow of zero.</span></div>
<div class="line"><a id="l02566" name="l02566"></a><span class="lineno"> 2566</span> min_outgoing_flow = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(min_outgoing_flow, int64_t{1});</div>
<div class="line"><a id="l02567" name="l02567"></a><span class="lineno"> 2567</span> </div>
<div class="line"><a id="l02568" name="l02568"></a><span class="lineno"> 2568</span> <span class="comment">// Compute the current outgoing flow out of the subset.</span></div>
<div class="line"><a id="l02569" name="l02569"></a><span class="lineno"> 2569</span> <span class="comment">//</span></div>
<div class="line"><a id="l02570" name="l02570"></a><span class="lineno"> 2570</span> <span class="comment">// This can take a significant portion of the running time, it is why it is</span></div>
<div class="line"><a id="l02571" name="l02571"></a><span class="lineno"> 2571</span> <span class="comment">// faster to do it only on arcs with non-zero lp values which should be in</span></div>
<div class="line"><a id="l02572" name="l02572"></a><span class="lineno"> 2572</span> <span class="comment">// linear number rather than the total number of arc which can be quadratic.</span></div>
<div class="line"><a id="l02573" name="l02573"></a><span class="lineno"> 2573</span> <span class="comment">//</span></div>
<div class="line"><a id="l02574" name="l02574"></a><span class="lineno"> 2574</span> <span class="comment">// TODO(user): For the symmetric case there is an even faster algo. See if</span></div>
<div class="line"><a id="l02575" name="l02575"></a><span class="lineno"> 2575</span> <span class="comment">// it can be generalized to the asymmetric one if become needed.</span></div>
<div class="line"><a id="l02576" name="l02576"></a><span class="lineno"> 2576</span> <span class="comment">// Reference is algo 6.4 of the &quot;The Traveling Salesman Problem&quot; book</span></div>
<div class="line"><a id="l02577" name="l02577"></a><span class="lineno"> 2577</span> <span class="comment">// mentionned above.</span></div>
<div class="line"><a id="l02578" name="l02578"></a><span class="lineno"> 2578</span> <span class="keywordtype">double</span> outgoing_flow = 0.0;</div>
<div class="line"><a id="l02579" name="l02579"></a><span class="lineno"> 2579</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> arc : relevant_arcs) {</div>
<div class="line"><a id="l02580" name="l02580"></a><span class="lineno"> 2580</span> <span class="keywordflow">if</span> (in_subset[arc.tail] &amp;&amp; !in_subset[arc.head]) {</div>
<div class="line"><a id="l02581" name="l02581"></a><span class="lineno"> 2581</span> outgoing_flow += arc.lp_value;</div>
<div class="line"><a id="l02582" name="l02582"></a><span class="lineno"> 2582</span> }</div>
<div class="line"><a id="l02583" name="l02583"></a><span class="lineno"> 2583</span> }</div>
<div class="line"><a id="l02584" name="l02584"></a><span class="lineno"> 2584</span> </div>
<div class="line"><a id="l02585" name="l02585"></a><span class="lineno"> 2585</span> <span class="comment">// Add a cut if the current outgoing flow is not enough.</span></div>
<div class="line"><a id="l02586" name="l02586"></a><span class="lineno"> 2586</span> <span class="keywordflow">if</span> (outgoing_flow &lt; min_outgoing_flow - 1e-6) {</div>
<div class="line"><a id="l02587" name="l02587"></a><span class="lineno"> 2587</span> AddOutgoingCut(num_nodes, subset.size(), in_subset, tails, heads,</div>
<div class="line"><a id="l02588" name="l02588"></a><span class="lineno"> 2588</span> literals, literal_lp_values,</div>
<div class="line"><a id="l02589" name="l02589"></a><span class="lineno"> 2589</span> <span class="comment">/*rhs_lower_bound=*/</span>min_outgoing_flow, lp_values, manager,</div>
<div class="line"><a id="l02590" name="l02590"></a><span class="lineno"> 2590</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l02591" name="l02591"></a><span class="lineno"> 2591</span> }</div>
<div class="line"><a id="l02592" name="l02592"></a><span class="lineno"> 2592</span> </div>
<div class="line"><a id="l02593" name="l02593"></a><span class="lineno"> 2593</span> <span class="comment">// Sparse clean up.</span></div>
<div class="line"><a id="l02594" name="l02594"></a><span class="lineno"> 2594</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> n : subset) in_subset[n] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l02595" name="l02595"></a><span class="lineno"> 2595</span> }</div>
<div class="line"><a id="l02596" name="l02596"></a><span class="lineno"> 2596</span>}</div>
<div class="line"><a id="l02597" name="l02597"></a><span class="lineno"> 2597</span> </div>
<div class="line"><a id="l02598" name="l02598"></a><span class="lineno"> 2598</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l02599" name="l02599"></a><span class="lineno"> 2599</span> </div>
<div class="line"><a id="l02600" name="l02600"></a><span class="lineno"> 2600</span><span class="comment">// Returns for each literal its integer view, or the view of its negation.</span></div>
<div class="line"><a id="l02601" name="l02601"></a><span class="lineno"> 2601</span>std::vector&lt;IntegerVariable&gt; GetAssociatedVariables(</div>
<div class="line"><a id="l02602" name="l02602"></a><span class="lineno"> 2602</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals, Model* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02603" name="l02603"></a><span class="lineno"> 2603</span> <span class="keyword">auto</span>* encoder = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;IntegerEncoder&gt;();</div>
<div class="line"><a id="l02604" name="l02604"></a><span class="lineno"> 2604</span> std::vector&lt;IntegerVariable&gt; result;</div>
<div class="line"><a id="l02605" name="l02605"></a><span class="lineno"> 2605</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal l : literals) {</div>
<div class="line"><a id="l02606" name="l02606"></a><span class="lineno"> 2606</span> <span class="keyword">const</span> IntegerVariable direct_view = encoder-&gt;GetLiteralView(l);</div>
<div class="line"><a id="l02607" name="l02607"></a><span class="lineno"> 2607</span> <span class="keywordflow">if</span> (direct_view != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a id="l02608" name="l02608"></a><span class="lineno"> 2608</span> result.push_back(direct_view);</div>
<div class="line"><a id="l02609" name="l02609"></a><span class="lineno"> 2609</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02610" name="l02610"></a><span class="lineno"> 2610</span> result.push_back(encoder-&gt;GetLiteralView(l.Negated()));</div>
<div class="line"><a id="l02611" name="l02611"></a><span class="lineno"> 2611</span> <a class="code hl_define" href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a>(result.back(), <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>);</div>
<div class="line"><a id="l02612" name="l02612"></a><span class="lineno"> 2612</span> }</div>
<div class="line"><a id="l02613" name="l02613"></a><span class="lineno"> 2613</span> }</div>
<div class="line"><a id="l02614" name="l02614"></a><span class="lineno"> 2614</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l02615" name="l02615"></a><span class="lineno"> 2615</span>}</div>
<div class="line"><a id="l02616" name="l02616"></a><span class="lineno"> 2616</span> </div>
<div class="line"><a id="l02617" name="l02617"></a><span class="lineno"> 2617</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l02618" name="l02618"></a><span class="lineno"> 2618</span> </div>
<div class="line"><a id="l02619" name="l02619"></a><span class="lineno"> 2619</span><span class="comment">// We use a basic algorithm to detect components that are not connected to the</span></div>
<div class="line"><a id="l02620" name="l02620"></a><span class="lineno"> 2620</span><span class="comment">// rest of the graph in the LP solution, and add cuts to force some arcs to</span></div>
<div class="line"><a id="l02621" name="l02621"></a><span class="lineno"> 2621</span><span class="comment">// enter and leave this component from outside.</span></div>
<div class="line"><a id="l02622" name="l02622"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c"> 2622</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_cut_generator.html">CutGenerator</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">CreateStronglyConnectedGraphCutGenerator</a>(</div>
<div class="line"><a id="l02623" name="l02623"></a><span class="lineno"> 2623</span> <span class="keywordtype">int</span> num_nodes, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; tails, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; heads,</div>
<div class="line"><a id="l02624" name="l02624"></a><span class="lineno"> 2624</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02625" name="l02625"></a><span class="lineno"> 2625</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_cut_generator.html">CutGenerator</a> result;</div>
<div class="line"><a id="l02626" name="l02626"></a><span class="lineno"> 2626</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_cut_generator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = GetAssociatedVariables(literals, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l02627" name="l02627"></a><span class="lineno"> 2627</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_cut_generator.html#a79779673f2fe909d104c37f3b7cc5a48">generate_cuts</a> =</div>
<div class="line"><a id="l02628" name="l02628"></a><span class="lineno"> 2628</span> [num_nodes, tails, heads, literals, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>](</div>
<div class="line"><a id="l02629" name="l02629"></a><span class="lineno"> 2629</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; lp_values,</div>
<div class="line"><a id="l02630" name="l02630"></a><span class="lineno"> 2630</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html">LinearConstraintManager</a>* manager) {</div>
<div class="line"><a id="l02631" name="l02631"></a><span class="lineno"> 2631</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad114b3c6ee51d854d3715a8a3be50f99">SeparateSubtourInequalities</a>(</div>
<div class="line"><a id="l02632" name="l02632"></a><span class="lineno"> 2632</span> num_nodes, tails, heads, literals, lp_values,</div>
<div class="line"><a id="l02633" name="l02633"></a><span class="lineno"> 2633</span> <span class="comment">/*demands=*/</span>{}, <span class="comment">/*capacity=*/</span>0, manager, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l02634" name="l02634"></a><span class="lineno"> 2634</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l02635" name="l02635"></a><span class="lineno"> 2635</span> };</div>
<div class="line"><a id="l02636" name="l02636"></a><span class="lineno"> 2636</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l02637" name="l02637"></a><span class="lineno"> 2637</span>}</div>
<div class="line"><a id="l02638" name="l02638"></a><span class="lineno"> 2638</span> </div>
<div class="line"><a id="l02639" name="l02639"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a0a5fb77a89e69aa0f99f00187dbdd798"> 2639</a></span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_cut_generator.html">CutGenerator</a> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a0a5fb77a89e69aa0f99f00187dbdd798">CreateCVRPCutGenerator</a>(<span class="keywordtype">int</span> num_nodes,</div>
<div class="line"><a id="l02640" name="l02640"></a><span class="lineno"> 2640</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; tails,</div>
<div class="line"><a id="l02641" name="l02641"></a><span class="lineno"> 2641</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; heads,</div>
<div class="line"><a id="l02642" name="l02642"></a><span class="lineno"> 2642</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals,</div>
<div class="line"><a id="l02643" name="l02643"></a><span class="lineno"> 2643</span> <span class="keyword">const</span> std::vector&lt;int64_t&gt;&amp; demands,</div>
<div class="line"><a id="l02644" name="l02644"></a><span class="lineno"> 2644</span> int64_t <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02645" name="l02645"></a><span class="lineno"> 2645</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_cut_generator.html">CutGenerator</a> result;</div>
<div class="line"><a id="l02646" name="l02646"></a><span class="lineno"> 2646</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_cut_generator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a> = GetAssociatedVariables(literals, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l02647" name="l02647"></a><span class="lineno"> 2647</span> result.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_cut_generator.html#a79779673f2fe909d104c37f3b7cc5a48">generate_cuts</a> =</div>
<div class="line"><a id="l02648" name="l02648"></a><span class="lineno"> 2648</span> [num_nodes, tails, heads, demands, <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, literals, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>](</div>
<div class="line"><a id="l02649" name="l02649"></a><span class="lineno"> 2649</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; lp_values,</div>
<div class="line"><a id="l02650" name="l02650"></a><span class="lineno"> 2650</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html">LinearConstraintManager</a>* manager) {</div>
<div class="line"><a id="l02651" name="l02651"></a><span class="lineno"> 2651</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad114b3c6ee51d854d3715a8a3be50f99">SeparateSubtourInequalities</a>(num_nodes, tails, heads, literals,</div>
<div class="line"><a id="l02652" name="l02652"></a><span class="lineno"> 2652</span> lp_values, demands, <a class="code hl_variable" href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a>, manager,</div>
<div class="line"><a id="l02653" name="l02653"></a><span class="lineno"> 2653</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l02654" name="l02654"></a><span class="lineno"> 2654</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l02655" name="l02655"></a><span class="lineno"> 2655</span> };</div>
<div class="line"><a id="l02656" name="l02656"></a><span class="lineno"> 2656</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l02657" name="l02657"></a><span class="lineno"> 2657</span>}</div>
<div class="line"><a id="l02658" name="l02658"></a><span class="lineno"> 2658</span> </div>
<div class="line"><a id="l02659" name="l02659"></a><span class="lineno"> 2659</span>std::function&lt;IntegerLiteral()&gt;</div>
<div class="line"><a id="l02660" name="l02660"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#abe80d18b1ff9d46681da4c752352e53c"> 2660</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#abe80d18b1ff9d46681da4c752352e53c">LinearProgrammingConstraint::HeuristicLpMostInfeasibleBinary</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02661" name="l02661"></a><span class="lineno"> 2661</span> <span class="comment">// Gather all 0-1 variables that appear in this LP.</span></div>
<div class="line"><a id="l02662" name="l02662"></a><span class="lineno"> 2662</span> std::vector&lt;IntegerVariable&gt; variables;</div>
<div class="line"><a id="l02663" name="l02663"></a><span class="lineno"> 2663</span> <span class="keywordflow">for</span> (IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : integer_variables_) {</div>
<div class="line"><a id="l02664" name="l02664"></a><span class="lineno"> 2664</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) == 0 &amp;&amp;</div>
<div class="line"><a id="l02665" name="l02665"></a><span class="lineno"> 2665</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) == 1) {</div>
<div class="line"><a id="l02666" name="l02666"></a><span class="lineno"> 2666</span> variables.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02667" name="l02667"></a><span class="lineno"> 2667</span> }</div>
<div class="line"><a id="l02668" name="l02668"></a><span class="lineno"> 2668</span> }</div>
<div class="line"><a id="l02669" name="l02669"></a><span class="lineno"> 2669</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;HeuristicLPMostInfeasibleBinary has &quot;</span> &lt;&lt; variables.size()</div>
<div class="line"><a id="l02670" name="l02670"></a><span class="lineno"> 2670</span> &lt;&lt; <span class="stringliteral">&quot; variables.&quot;</span>;</div>
<div class="line"><a id="l02671" name="l02671"></a><span class="lineno"> 2671</span> </div>
<div class="line"><a id="l02672" name="l02672"></a><span class="lineno"> 2672</span> <span class="keywordflow">return</span> [<span class="keyword">this</span>, variables]() {</div>
<div class="line"><a id="l02673" name="l02673"></a><span class="lineno"> 2673</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">kEpsilon</a> = 1e-6;</div>
<div class="line"><a id="l02674" name="l02674"></a><span class="lineno"> 2674</span> <span class="comment">// Find most fractional value.</span></div>
<div class="line"><a id="l02675" name="l02675"></a><span class="lineno"> 2675</span> IntegerVariable fractional_var = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div>
<div class="line"><a id="l02676" name="l02676"></a><span class="lineno"> 2676</span> <span class="keywordtype">double</span> fractional_distance_best = -1.0;</div>
<div class="line"><a id="l02677" name="l02677"></a><span class="lineno"> 2677</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : variables) {</div>
<div class="line"><a id="l02678" name="l02678"></a><span class="lineno"> 2678</span> <span class="comment">// Skip ignored and fixed variables.</span></div>
<div class="line"><a id="l02679" name="l02679"></a><span class="lineno"> 2679</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02680" name="l02680"></a><span class="lineno"> 2680</span> <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02681" name="l02681"></a><span class="lineno"> 2681</span> <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02682" name="l02682"></a><span class="lineno"> 2682</span> <span class="keywordflow">if</span> (lb == ub) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02683" name="l02683"></a><span class="lineno"> 2683</span> </div>
<div class="line"><a id="l02684" name="l02684"></a><span class="lineno"> 2684</span> <span class="comment">// Check variable&#39;s support is fractional.</span></div>
<div class="line"><a id="l02685" name="l02685"></a><span class="lineno"> 2685</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lp_value = this-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">GetSolutionValue</a>(var);</div>
<div class="line"><a id="l02686" name="l02686"></a><span class="lineno"> 2686</span> <span class="keyword">const</span> <span class="keywordtype">double</span> fractional_distance =</div>
<div class="line"><a id="l02687" name="l02687"></a><span class="lineno"> 2687</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(std::ceil(lp_value - <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">kEpsilon</a>) - lp_value,</div>
<div class="line"><a id="l02688" name="l02688"></a><span class="lineno"> 2688</span> lp_value - std::floor(lp_value + <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">kEpsilon</a>));</div>
<div class="line"><a id="l02689" name="l02689"></a><span class="lineno"> 2689</span> <span class="keywordflow">if</span> (fractional_distance &lt; <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">kEpsilon</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02690" name="l02690"></a><span class="lineno"> 2690</span> </div>
<div class="line"><a id="l02691" name="l02691"></a><span class="lineno"> 2691</span> <span class="comment">// Keep variable if it is farther from integrality than the previous.</span></div>
<div class="line"><a id="l02692" name="l02692"></a><span class="lineno"> 2692</span> <span class="keywordflow">if</span> (fractional_distance &gt; fractional_distance_best) {</div>
<div class="line"><a id="l02693" name="l02693"></a><span class="lineno"> 2693</span> fractional_var = <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
<div class="line"><a id="l02694" name="l02694"></a><span class="lineno"> 2694</span> fractional_distance_best = fractional_distance;</div>
<div class="line"><a id="l02695" name="l02695"></a><span class="lineno"> 2695</span> }</div>
<div class="line"><a id="l02696" name="l02696"></a><span class="lineno"> 2696</span> }</div>
<div class="line"><a id="l02697" name="l02697"></a><span class="lineno"> 2697</span> </div>
<div class="line"><a id="l02698" name="l02698"></a><span class="lineno"> 2698</span> <span class="keywordflow">if</span> (fractional_var != <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div>
<div class="line"><a id="l02699" name="l02699"></a><span class="lineno"> 2699</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(fractional_var, IntegerValue(1));</div>
<div class="line"><a id="l02700" name="l02700"></a><span class="lineno"> 2700</span> }</div>
<div class="line"><a id="l02701" name="l02701"></a><span class="lineno"> 2701</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a>();</div>
<div class="line"><a id="l02702" name="l02702"></a><span class="lineno"> 2702</span> };</div>
<div class="line"><a id="l02703" name="l02703"></a><span class="lineno"> 2703</span>}</div>
<div class="line"><a id="l02704" name="l02704"></a><span class="lineno"> 2704</span> </div>
<div class="line"><a id="l02705" name="l02705"></a><span class="lineno"> 2705</span>std::function&lt;<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a>()&gt;</div>
<div class="line"><a id="l02706" name="l02706"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a874f2f502681d547a666278de20564e3"> 2706</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a874f2f502681d547a666278de20564e3">LinearProgrammingConstraint::HeuristicLpReducedCostBinary</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l02707" name="l02707"></a><span class="lineno"> 2707</span> <span class="comment">// Gather all 0-1 variables that appear in this LP.</span></div>
<div class="line"><a id="l02708" name="l02708"></a><span class="lineno"> 2708</span> std::vector&lt;IntegerVariable&gt; variables;</div>
<div class="line"><a id="l02709" name="l02709"></a><span class="lineno"> 2709</span> <span class="keywordflow">for</span> (IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : integer_variables_) {</div>
<div class="line"><a id="l02710" name="l02710"></a><span class="lineno"> 2710</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) == 0 &amp;&amp;</div>
<div class="line"><a id="l02711" name="l02711"></a><span class="lineno"> 2711</span> integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) == 1) {</div>
<div class="line"><a id="l02712" name="l02712"></a><span class="lineno"> 2712</span> variables.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02713" name="l02713"></a><span class="lineno"> 2713</span> }</div>
<div class="line"><a id="l02714" name="l02714"></a><span class="lineno"> 2714</span> }</div>
<div class="line"><a id="l02715" name="l02715"></a><span class="lineno"> 2715</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;HeuristicLpReducedCostBinary has &quot;</span> &lt;&lt; variables.size()</div>
<div class="line"><a id="l02716" name="l02716"></a><span class="lineno"> 2716</span> &lt;&lt; <span class="stringliteral">&quot; variables.&quot;</span>;</div>
<div class="line"><a id="l02717" name="l02717"></a><span class="lineno"> 2717</span> </div>
<div class="line"><a id="l02718" name="l02718"></a><span class="lineno"> 2718</span> <span class="comment">// Store average of reduced cost from 1 to 0. The best heuristic only sets</span></div>
<div class="line"><a id="l02719" name="l02719"></a><span class="lineno"> 2719</span> <span class="comment">// variables to one and cares about cost to zero, even though classic</span></div>
<div class="line"><a id="l02720" name="l02720"></a><span class="lineno"> 2720</span> <span class="comment">// pseudocost will use max_var min(cost_to_one[var], cost_to_zero[var]).</span></div>
<div class="line"><a id="l02721" name="l02721"></a><span class="lineno"> 2721</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = variables.size();</div>
<div class="line"><a id="l02722" name="l02722"></a><span class="lineno"> 2722</span> std::vector&lt;double&gt; cost_to_zero(num_vars, 0.0);</div>
<div class="line"><a id="l02723" name="l02723"></a><span class="lineno"> 2723</span> std::vector&lt;int&gt; num_cost_to_zero(num_vars);</div>
<div class="line"><a id="l02724" name="l02724"></a><span class="lineno"> 2724</span> <span class="keywordtype">int</span> num_calls = 0;</div>
<div class="line"><a id="l02725" name="l02725"></a><span class="lineno"> 2725</span> </div>
<div class="line"><a id="l02726" name="l02726"></a><span class="lineno"> 2726</span> <span class="keywordflow">return</span> [=]() <span class="keyword">mutable</span> {</div>
<div class="line"><a id="l02727" name="l02727"></a><span class="lineno"> 2727</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">kEpsilon</a> = 1e-6;</div>
<div class="line"><a id="l02728" name="l02728"></a><span class="lineno"> 2728</span> </div>
<div class="line"><a id="l02729" name="l02729"></a><span class="lineno"> 2729</span> <span class="comment">// Every 10000 calls, decay pseudocosts.</span></div>
<div class="line"><a id="l02730" name="l02730"></a><span class="lineno"> 2730</span> num_calls++;</div>
<div class="line"><a id="l02731" name="l02731"></a><span class="lineno"> 2731</span> <span class="keywordflow">if</span> (num_calls == 10000) {</div>
<div class="line"><a id="l02732" name="l02732"></a><span class="lineno"> 2732</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02733" name="l02733"></a><span class="lineno"> 2733</span> cost_to_zero[i] /= 2;</div>
<div class="line"><a id="l02734" name="l02734"></a><span class="lineno"> 2734</span> num_cost_to_zero[i] /= 2;</div>
<div class="line"><a id="l02735" name="l02735"></a><span class="lineno"> 2735</span> }</div>
<div class="line"><a id="l02736" name="l02736"></a><span class="lineno"> 2736</span> num_calls = 0;</div>
<div class="line"><a id="l02737" name="l02737"></a><span class="lineno"> 2737</span> }</div>
<div class="line"><a id="l02738" name="l02738"></a><span class="lineno"> 2738</span> </div>
<div class="line"><a id="l02739" name="l02739"></a><span class="lineno"> 2739</span> <span class="comment">// Accumulate pseudo-costs of all unassigned variables.</span></div>
<div class="line"><a id="l02740" name="l02740"></a><span class="lineno"> 2740</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02741" name="l02741"></a><span class="lineno"> 2741</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = variables[i];</div>
<div class="line"><a id="l02742" name="l02742"></a><span class="lineno"> 2742</span> <span class="comment">// Skip ignored and fixed variables.</span></div>
<div class="line"><a id="l02743" name="l02743"></a><span class="lineno"> 2743</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02744" name="l02744"></a><span class="lineno"> 2744</span> <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02745" name="l02745"></a><span class="lineno"> 2745</span> <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02746" name="l02746"></a><span class="lineno"> 2746</span> <span class="keywordflow">if</span> (lb == ub) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02747" name="l02747"></a><span class="lineno"> 2747</span> </div>
<div class="line"><a id="l02748" name="l02748"></a><span class="lineno"> 2748</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rc = this-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aeb58dc2ca6b2d8f627b837fcfaa4955a">GetSolutionReducedCost</a>(var);</div>
<div class="line"><a id="l02749" name="l02749"></a><span class="lineno"> 2749</span> <span class="comment">// Skip reduced costs that are nonzero because of numerical issues.</span></div>
<div class="line"><a id="l02750" name="l02750"></a><span class="lineno"> 2750</span> <span class="keywordflow">if</span> (std::abs(rc) &lt; <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">kEpsilon</a>) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02751" name="l02751"></a><span class="lineno"> 2751</span> </div>
<div class="line"><a id="l02752" name="l02752"></a><span class="lineno"> 2752</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> = std::round(this-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">GetSolutionValue</a>(var));</div>
<div class="line"><a id="l02753" name="l02753"></a><span class="lineno"> 2753</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> == 1.0 &amp;&amp; rc &lt; 0.0) {</div>
<div class="line"><a id="l02754" name="l02754"></a><span class="lineno"> 2754</span> cost_to_zero[i] -= rc;</div>
<div class="line"><a id="l02755" name="l02755"></a><span class="lineno"> 2755</span> num_cost_to_zero[i]++;</div>
<div class="line"><a id="l02756" name="l02756"></a><span class="lineno"> 2756</span> }</div>
<div class="line"><a id="l02757" name="l02757"></a><span class="lineno"> 2757</span> }</div>
<div class="line"><a id="l02758" name="l02758"></a><span class="lineno"> 2758</span> </div>
<div class="line"><a id="l02759" name="l02759"></a><span class="lineno"> 2759</span> <span class="comment">// Select noninstantiated variable with highest pseudo-cost.</span></div>
<div class="line"><a id="l02760" name="l02760"></a><span class="lineno"> 2760</span> <span class="keywordtype">int</span> selected_index = -1;</div>
<div class="line"><a id="l02761" name="l02761"></a><span class="lineno"> 2761</span> <span class="keywordtype">double</span> best_cost = 0.0;</div>
<div class="line"><a id="l02762" name="l02762"></a><span class="lineno"> 2762</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02763" name="l02763"></a><span class="lineno"> 2763</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = variables[i];</div>
<div class="line"><a id="l02764" name="l02764"></a><span class="lineno"> 2764</span> <span class="comment">// Skip ignored and fixed variables.</span></div>
<div class="line"><a id="l02765" name="l02765"></a><span class="lineno"> 2765</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02766" name="l02766"></a><span class="lineno"> 2766</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02767" name="l02767"></a><span class="lineno"> 2767</span> </div>
<div class="line"><a id="l02768" name="l02768"></a><span class="lineno"> 2768</span> <span class="keywordflow">if</span> (num_cost_to_zero[i] &gt; 0 &amp;&amp;</div>
<div class="line"><a id="l02769" name="l02769"></a><span class="lineno"> 2769</span> best_cost &lt; cost_to_zero[i] / num_cost_to_zero[i]) {</div>
<div class="line"><a id="l02770" name="l02770"></a><span class="lineno"> 2770</span> best_cost = cost_to_zero[i] / num_cost_to_zero[i];</div>
<div class="line"><a id="l02771" name="l02771"></a><span class="lineno"> 2771</span> selected_index = i;</div>
<div class="line"><a id="l02772" name="l02772"></a><span class="lineno"> 2772</span> }</div>
<div class="line"><a id="l02773" name="l02773"></a><span class="lineno"> 2773</span> }</div>
<div class="line"><a id="l02774" name="l02774"></a><span class="lineno"> 2774</span> </div>
<div class="line"><a id="l02775" name="l02775"></a><span class="lineno"> 2775</span> <span class="keywordflow">if</span> (selected_index &gt;= 0) {</div>
<div class="line"><a id="l02776" name="l02776"></a><span class="lineno"> 2776</span> <span class="keywordflow">return</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(variables[selected_index],</div>
<div class="line"><a id="l02777" name="l02777"></a><span class="lineno"> 2777</span> IntegerValue(1));</div>
<div class="line"><a id="l02778" name="l02778"></a><span class="lineno"> 2778</span> }</div>
<div class="line"><a id="l02779" name="l02779"></a><span class="lineno"> 2779</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a>();</div>
<div class="line"><a id="l02780" name="l02780"></a><span class="lineno"> 2780</span> };</div>
<div class="line"><a id="l02781" name="l02781"></a><span class="lineno"> 2781</span>}</div>
<div class="line"><a id="l02782" name="l02782"></a><span class="lineno"> 2782</span> </div>
<div class="line"><a id="l02783" name="l02783"></a><span class="lineno"> 2783</span><span class="keywordtype">void</span> LinearProgrammingConstraint::UpdateAverageReducedCosts() {</div>
<div class="line"><a id="l02784" name="l02784"></a><span class="lineno"> 2784</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = integer_variables_.size();</div>
<div class="line"><a id="l02785" name="l02785"></a><span class="lineno"> 2785</span> <span class="keywordflow">if</span> (sum_cost_down_.size() &lt; num_vars) {</div>
<div class="line"><a id="l02786" name="l02786"></a><span class="lineno"> 2786</span> sum_cost_down_.resize(num_vars, 0.0);</div>
<div class="line"><a id="l02787" name="l02787"></a><span class="lineno"> 2787</span> num_cost_down_.resize(num_vars, 0);</div>
<div class="line"><a id="l02788" name="l02788"></a><span class="lineno"> 2788</span> sum_cost_up_.resize(num_vars, 0.0);</div>
<div class="line"><a id="l02789" name="l02789"></a><span class="lineno"> 2789</span> num_cost_up_.resize(num_vars, 0);</div>
<div class="line"><a id="l02790" name="l02790"></a><span class="lineno"> 2790</span> rc_scores_.resize(num_vars, 0.0);</div>
<div class="line"><a id="l02791" name="l02791"></a><span class="lineno"> 2791</span> }</div>
<div class="line"><a id="l02792" name="l02792"></a><span class="lineno"> 2792</span> </div>
<div class="line"><a id="l02793" name="l02793"></a><span class="lineno"> 2793</span> <span class="comment">// Decay averages.</span></div>
<div class="line"><a id="l02794" name="l02794"></a><span class="lineno"> 2794</span> num_calls_since_reduced_cost_averages_reset_++;</div>
<div class="line"><a id="l02795" name="l02795"></a><span class="lineno"> 2795</span> <span class="keywordflow">if</span> (num_calls_since_reduced_cost_averages_reset_ == 10000) {</div>
<div class="line"><a id="l02796" name="l02796"></a><span class="lineno"> 2796</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02797" name="l02797"></a><span class="lineno"> 2797</span> sum_cost_up_[i] /= 2;</div>
<div class="line"><a id="l02798" name="l02798"></a><span class="lineno"> 2798</span> num_cost_up_[i] /= 2;</div>
<div class="line"><a id="l02799" name="l02799"></a><span class="lineno"> 2799</span> sum_cost_down_[i] /= 2;</div>
<div class="line"><a id="l02800" name="l02800"></a><span class="lineno"> 2800</span> num_cost_down_[i] /= 2;</div>
<div class="line"><a id="l02801" name="l02801"></a><span class="lineno"> 2801</span> }</div>
<div class="line"><a id="l02802" name="l02802"></a><span class="lineno"> 2802</span> num_calls_since_reduced_cost_averages_reset_ = 0;</div>
<div class="line"><a id="l02803" name="l02803"></a><span class="lineno"> 2803</span> }</div>
<div class="line"><a id="l02804" name="l02804"></a><span class="lineno"> 2804</span> </div>
<div class="line"><a id="l02805" name="l02805"></a><span class="lineno"> 2805</span> <span class="comment">// Accumulate reduced costs of all unassigned variables.</span></div>
<div class="line"><a id="l02806" name="l02806"></a><span class="lineno"> 2806</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02807" name="l02807"></a><span class="lineno"> 2807</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[i];</div>
<div class="line"><a id="l02808" name="l02808"></a><span class="lineno"> 2808</span> </div>
<div class="line"><a id="l02809" name="l02809"></a><span class="lineno"> 2809</span> <span class="comment">// Skip ignored and fixed variables.</span></div>
<div class="line"><a id="l02810" name="l02810"></a><span class="lineno"> 2810</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02811" name="l02811"></a><span class="lineno"> 2811</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02812" name="l02812"></a><span class="lineno"> 2812</span> </div>
<div class="line"><a id="l02813" name="l02813"></a><span class="lineno"> 2813</span> <span class="comment">// Skip reduced costs that are zero or close.</span></div>
<div class="line"><a id="l02814" name="l02814"></a><span class="lineno"> 2814</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rc = lp_reduced_cost_[i];</div>
<div class="line"><a id="l02815" name="l02815"></a><span class="lineno"> 2815</span> <span class="keywordflow">if</span> (std::abs(rc) &lt; kCpEpsilon) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02816" name="l02816"></a><span class="lineno"> 2816</span> </div>
<div class="line"><a id="l02817" name="l02817"></a><span class="lineno"> 2817</span> <span class="keywordflow">if</span> (rc &lt; 0.0) {</div>
<div class="line"><a id="l02818" name="l02818"></a><span class="lineno"> 2818</span> sum_cost_down_[i] -= rc;</div>
<div class="line"><a id="l02819" name="l02819"></a><span class="lineno"> 2819</span> num_cost_down_[i]++;</div>
<div class="line"><a id="l02820" name="l02820"></a><span class="lineno"> 2820</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02821" name="l02821"></a><span class="lineno"> 2821</span> sum_cost_up_[i] += rc;</div>
<div class="line"><a id="l02822" name="l02822"></a><span class="lineno"> 2822</span> num_cost_up_[i]++;</div>
<div class="line"><a id="l02823" name="l02823"></a><span class="lineno"> 2823</span> }</div>
<div class="line"><a id="l02824" name="l02824"></a><span class="lineno"> 2824</span> }</div>
<div class="line"><a id="l02825" name="l02825"></a><span class="lineno"> 2825</span> </div>
<div class="line"><a id="l02826" name="l02826"></a><span class="lineno"> 2826</span> <span class="comment">// Tricky, we artificially reset the rc_rev_int_repository_ to level zero</span></div>
<div class="line"><a id="l02827" name="l02827"></a><span class="lineno"> 2827</span> <span class="comment">// so that the rev_rc_start_ is zero.</span></div>
<div class="line"><a id="l02828" name="l02828"></a><span class="lineno"> 2828</span> rc_rev_int_repository_.<a class="code hl_function" href="classoperations__research_1_1_rev_repository.html#a176d2c659864433ccd869b5fba8d57af">SetLevel</a>(0);</div>
<div class="line"><a id="l02829" name="l02829"></a><span class="lineno"> 2829</span> rc_rev_int_repository_.<a class="code hl_function" href="classoperations__research_1_1_rev_repository.html#a176d2c659864433ccd869b5fba8d57af">SetLevel</a>(trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>());</div>
<div class="line"><a id="l02830" name="l02830"></a><span class="lineno"> 2830</span> rev_rc_start_ = 0;</div>
<div class="line"><a id="l02831" name="l02831"></a><span class="lineno"> 2831</span> </div>
<div class="line"><a id="l02832" name="l02832"></a><span class="lineno"> 2832</span> <span class="comment">// Cache the new score (higher is better) using the average reduced costs</span></div>
<div class="line"><a id="l02833" name="l02833"></a><span class="lineno"> 2833</span> <span class="comment">// as a signal.</span></div>
<div class="line"><a id="l02834" name="l02834"></a><span class="lineno"> 2834</span> positions_by_decreasing_rc_score_.clear();</div>
<div class="line"><a id="l02835" name="l02835"></a><span class="lineno"> 2835</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; i++) {</div>
<div class="line"><a id="l02836" name="l02836"></a><span class="lineno"> 2836</span> <span class="comment">// If only one direction exist, we takes its value divided by 2, so that</span></div>
<div class="line"><a id="l02837" name="l02837"></a><span class="lineno"> 2837</span> <span class="comment">// such variable should have a smaller cost than the min of the two side</span></div>
<div class="line"><a id="l02838" name="l02838"></a><span class="lineno"> 2838</span> <span class="comment">// except if one direction have a really high reduced costs.</span></div>
<div class="line"><a id="l02839" name="l02839"></a><span class="lineno"> 2839</span> <span class="keyword">const</span> <span class="keywordtype">double</span> a_up =</div>
<div class="line"><a id="l02840" name="l02840"></a><span class="lineno"> 2840</span> num_cost_up_[i] &gt; 0 ? sum_cost_up_[i] / num_cost_up_[i] : 0.0;</div>
<div class="line"><a id="l02841" name="l02841"></a><span class="lineno"> 2841</span> <span class="keyword">const</span> <span class="keywordtype">double</span> a_down =</div>
<div class="line"><a id="l02842" name="l02842"></a><span class="lineno"> 2842</span> num_cost_down_[i] &gt; 0 ? sum_cost_down_[i] / num_cost_down_[i] : 0.0;</div>
<div class="line"><a id="l02843" name="l02843"></a><span class="lineno"> 2843</span> <span class="keywordflow">if</span> (num_cost_down_[i] &gt; 0 &amp;&amp; num_cost_up_[i] &gt; 0) {</div>
<div class="line"><a id="l02844" name="l02844"></a><span class="lineno"> 2844</span> rc_scores_[i] = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(a_up, a_down);</div>
<div class="line"><a id="l02845" name="l02845"></a><span class="lineno"> 2845</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02846" name="l02846"></a><span class="lineno"> 2846</span> rc_scores_[i] = 0.5 * (a_down + a_up);</div>
<div class="line"><a id="l02847" name="l02847"></a><span class="lineno"> 2847</span> }</div>
<div class="line"><a id="l02848" name="l02848"></a><span class="lineno"> 2848</span> </div>
<div class="line"><a id="l02849" name="l02849"></a><span class="lineno"> 2849</span> <span class="comment">// We ignore scores of zero (i.e. no data) and will follow the default</span></div>
<div class="line"><a id="l02850" name="l02850"></a><span class="lineno"> 2850</span> <span class="comment">// search heuristic if all variables are like this.</span></div>
<div class="line"><a id="l02851" name="l02851"></a><span class="lineno"> 2851</span> <span class="keywordflow">if</span> (rc_scores_[i] &gt; 0.0) {</div>
<div class="line"><a id="l02852" name="l02852"></a><span class="lineno"> 2852</span> positions_by_decreasing_rc_score_.push_back({-rc_scores_[i], i});</div>
<div class="line"><a id="l02853" name="l02853"></a><span class="lineno"> 2853</span> }</div>
<div class="line"><a id="l02854" name="l02854"></a><span class="lineno"> 2854</span> }</div>
<div class="line"><a id="l02855" name="l02855"></a><span class="lineno"> 2855</span> std::sort(positions_by_decreasing_rc_score_.begin(),</div>
<div class="line"><a id="l02856" name="l02856"></a><span class="lineno"> 2856</span> positions_by_decreasing_rc_score_.end());</div>
<div class="line"><a id="l02857" name="l02857"></a><span class="lineno"> 2857</span>}</div>
<div class="line"><a id="l02858" name="l02858"></a><span class="lineno"> 2858</span> </div>
<div class="line"><a id="l02859" name="l02859"></a><span class="lineno"> 2859</span><span class="comment">// TODO(user): Remove duplication with HeuristicLpReducedCostBinary().</span></div>
<div class="line"><a id="l02860" name="l02860"></a><span class="lineno"> 2860</span>std::function&lt;IntegerLiteral()&gt;</div>
<div class="line"><a id="l02861" name="l02861"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a6ae27451c3238e2af96991a030b7556c"> 2861</a></span><a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a6ae27451c3238e2af96991a030b7556c">LinearProgrammingConstraint::HeuristicLpReducedCostAverageBranching</a>() {</div>
<div class="line"><a id="l02862" name="l02862"></a><span class="lineno"> 2862</span> <span class="keywordflow">return</span> [<span class="keyword">this</span>]() { <span class="keywordflow">return</span> this-&gt;LPReducedCostAverageDecision(); };</div>
<div class="line"><a id="l02863" name="l02863"></a><span class="lineno"> 2863</span>}</div>
<div class="line"><a id="l02864" name="l02864"></a><span class="lineno"> 2864</span> </div>
<div class="line"><a id="l02865" name="l02865"></a><span class="lineno"> 2865</span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> LinearProgrammingConstraint::LPReducedCostAverageDecision() {</div>
<div class="line"><a id="l02866" name="l02866"></a><span class="lineno"> 2866</span> <span class="comment">// Select noninstantiated variable with highest positive average reduced cost.</span></div>
<div class="line"><a id="l02867" name="l02867"></a><span class="lineno"> 2867</span> <span class="keywordtype">int</span> selected_index = -1;</div>
<div class="line"><a id="l02868" name="l02868"></a><span class="lineno"> 2868</span> <span class="keyword">const</span> <span class="keywordtype">int</span> size = positions_by_decreasing_rc_score_.size();</div>
<div class="line"><a id="l02869" name="l02869"></a><span class="lineno"> 2869</span> rc_rev_int_repository_.<a class="code hl_function" href="classoperations__research_1_1_rev_repository.html#a32476d1fb09b1e06181ee07d30378b02">SaveState</a>(&amp;rev_rc_start_);</div>
<div class="line"><a id="l02870" name="l02870"></a><span class="lineno"> 2870</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = rev_rc_start_; i &lt; size; ++i) {</div>
<div class="line"><a id="l02871" name="l02871"></a><span class="lineno"> 2871</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = positions_by_decreasing_rc_score_[i].second;</div>
<div class="line"><a id="l02872" name="l02872"></a><span class="lineno"> 2872</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[<a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>];</div>
<div class="line"><a id="l02873" name="l02873"></a><span class="lineno"> 2873</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02874" name="l02874"></a><span class="lineno"> 2874</span> <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02875" name="l02875"></a><span class="lineno"> 2875</span> selected_index = <a class="code hl_variable" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
<div class="line"><a id="l02876" name="l02876"></a><span class="lineno"> 2876</span> rev_rc_start_ = i;</div>
<div class="line"><a id="l02877" name="l02877"></a><span class="lineno"> 2877</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l02878" name="l02878"></a><span class="lineno"> 2878</span> }</div>
<div class="line"><a id="l02879" name="l02879"></a><span class="lineno"> 2879</span> </div>
<div class="line"><a id="l02880" name="l02880"></a><span class="lineno"> 2880</span> <span class="keywordflow">if</span> (selected_index == -1) <span class="keywordflow">return</span> IntegerLiteral();</div>
<div class="line"><a id="l02881" name="l02881"></a><span class="lineno"> 2881</span> <span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = integer_variables_[selected_index];</div>
<div class="line"><a id="l02882" name="l02882"></a><span class="lineno"> 2882</span> </div>
<div class="line"><a id="l02883" name="l02883"></a><span class="lineno"> 2883</span> <span class="comment">// If ceil(value) is current upper bound, try var == upper bound first.</span></div>
<div class="line"><a id="l02884" name="l02884"></a><span class="lineno"> 2884</span> <span class="comment">// Guarding with &gt;= prevents numerical problems.</span></div>
<div class="line"><a id="l02885" name="l02885"></a><span class="lineno"> 2885</span> <span class="comment">// With 0/1 variables, this will tend to try setting to 1 first,</span></div>
<div class="line"><a id="l02886" name="l02886"></a><span class="lineno"> 2886</span> <span class="comment">// which produces more shallow trees.</span></div>
<div class="line"><a id="l02887" name="l02887"></a><span class="lineno"> 2887</span> <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02888" name="l02888"></a><span class="lineno"> 2888</span> <span class="keyword">const</span> IntegerValue value_ceil(</div>
<div class="line"><a id="l02889" name="l02889"></a><span class="lineno"> 2889</span> std::ceil(this-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">GetSolutionValue</a>(var) - kCpEpsilon));</div>
<div class="line"><a id="l02890" name="l02890"></a><span class="lineno"> 2890</span> <span class="keywordflow">if</span> (value_ceil &gt;= ub) {</div>
<div class="line"><a id="l02891" name="l02891"></a><span class="lineno"> 2891</span> <span class="keywordflow">return</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, ub);</div>
<div class="line"><a id="l02892" name="l02892"></a><span class="lineno"> 2892</span> }</div>
<div class="line"><a id="l02893" name="l02893"></a><span class="lineno"> 2893</span> </div>
<div class="line"><a id="l02894" name="l02894"></a><span class="lineno"> 2894</span> <span class="comment">// If floor(value) is current lower bound, try var == lower bound first.</span></div>
<div class="line"><a id="l02895" name="l02895"></a><span class="lineno"> 2895</span> <span class="comment">// Guarding with &lt;= prevents numerical problems.</span></div>
<div class="line"><a id="l02896" name="l02896"></a><span class="lineno"> 2896</span> <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l02897" name="l02897"></a><span class="lineno"> 2897</span> <span class="keyword">const</span> IntegerValue value_floor(</div>
<div class="line"><a id="l02898" name="l02898"></a><span class="lineno"> 2898</span> std::floor(this-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">GetSolutionValue</a>(var) + kCpEpsilon));</div>
<div class="line"><a id="l02899" name="l02899"></a><span class="lineno"> 2899</span> <span class="keywordflow">if</span> (value_floor &lt;= lb) {</div>
<div class="line"><a id="l02900" name="l02900"></a><span class="lineno"> 2900</span> <span class="keywordflow">return</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, lb);</div>
<div class="line"><a id="l02901" name="l02901"></a><span class="lineno"> 2901</span> }</div>
<div class="line"><a id="l02902" name="l02902"></a><span class="lineno"> 2902</span> </div>
<div class="line"><a id="l02903" name="l02903"></a><span class="lineno"> 2903</span> <span class="comment">// Here lb &lt; value_floor &lt;= value_ceil &lt; ub.</span></div>
<div class="line"><a id="l02904" name="l02904"></a><span class="lineno"> 2904</span> <span class="comment">// Try the most promising split between var &lt;= floor or var &gt;= ceil.</span></div>
<div class="line"><a id="l02905" name="l02905"></a><span class="lineno"> 2905</span> <span class="keyword">const</span> <span class="keywordtype">double</span> a_up =</div>
<div class="line"><a id="l02906" name="l02906"></a><span class="lineno"> 2906</span> num_cost_up_[selected_index] &gt; 0</div>
<div class="line"><a id="l02907" name="l02907"></a><span class="lineno"> 2907</span> ? sum_cost_up_[selected_index] / num_cost_up_[selected_index]</div>
<div class="line"><a id="l02908" name="l02908"></a><span class="lineno"> 2908</span> : 0.0;</div>
<div class="line"><a id="l02909" name="l02909"></a><span class="lineno"> 2909</span> <span class="keyword">const</span> <span class="keywordtype">double</span> a_down =</div>
<div class="line"><a id="l02910" name="l02910"></a><span class="lineno"> 2910</span> num_cost_down_[selected_index] &gt; 0</div>
<div class="line"><a id="l02911" name="l02911"></a><span class="lineno"> 2911</span> ? sum_cost_down_[selected_index] / num_cost_down_[selected_index]</div>
<div class="line"><a id="l02912" name="l02912"></a><span class="lineno"> 2912</span> : 0.0;</div>
<div class="line"><a id="l02913" name="l02913"></a><span class="lineno"> 2913</span> <span class="keywordflow">if</span> (a_down &lt; a_up) {</div>
<div class="line"><a id="l02914" name="l02914"></a><span class="lineno"> 2914</span> <span class="keywordflow">return</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, value_floor);</div>
<div class="line"><a id="l02915" name="l02915"></a><span class="lineno"> 2915</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l02916" name="l02916"></a><span class="lineno"> 2916</span> <span class="keywordflow">return</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, value_ceil);</div>
<div class="line"><a id="l02917" name="l02917"></a><span class="lineno"> 2917</span> }</div>
<div class="line"><a id="l02918" name="l02918"></a><span class="lineno"> 2918</span>}</div>
<div class="line"><a id="l02919" name="l02919"></a><span class="lineno"> 2919</span> </div>
<div class="line"><a id="l02920" name="l02920"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a8713b8b4baa0b0c2c54907a1fb63c88f"> 2920</a></span>std::string <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a8713b8b4baa0b0c2c54907a1fb63c88f">LinearProgrammingConstraint::Statistics</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l02921" name="l02921"></a><span class="lineno"> 2921</span> std::string result = <span class="stringliteral">&quot;LP statistics:\n&quot;</span>;</div>
<div class="line"><a id="l02922" name="l02922"></a><span class="lineno"> 2922</span> absl::StrAppend(&amp;result, <span class="stringliteral">&quot; final dimension: &quot;</span>, <a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a3c19742220492e052d7a85a330df90e6">DimensionString</a>(), <span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a id="l02923" name="l02923"></a><span class="lineno"> 2923</span> absl::StrAppend(&amp;result, <span class="stringliteral">&quot; total number of simplex iterations: &quot;</span>,</div>
<div class="line"><a id="l02924" name="l02924"></a><span class="lineno"> 2924</span> total_num_simplex_iterations_, <span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a id="l02925" name="l02925"></a><span class="lineno"> 2925</span> absl::StrAppend(&amp;result, <span class="stringliteral">&quot; num solves: \n&quot;</span>);</div>
<div class="line"><a id="l02926" name="l02926"></a><span class="lineno"> 2926</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_solves_by_status_.size(); ++i) {</div>
<div class="line"><a id="l02927" name="l02927"></a><span class="lineno"> 2927</span> <span class="keywordflow">if</span> (num_solves_by_status_[i] == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l02928" name="l02928"></a><span class="lineno"> 2928</span> absl::StrAppend(&amp;result, <span class="stringliteral">&quot; - #&quot;</span>,</div>
<div class="line"><a id="l02929" name="l02929"></a><span class="lineno"> 2929</span> <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a509c4e359e6f7041eddfac3f1c46a92f">glop::GetProblemStatusString</a>(<a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493">glop::ProblemStatus</a>(i)), <span class="stringliteral">&quot;: &quot;</span>,</div>
<div class="line"><a id="l02930" name="l02930"></a><span class="lineno"> 2930</span> num_solves_by_status_[i], <span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a id="l02931" name="l02931"></a><span class="lineno"> 2931</span> }</div>
<div class="line"><a id="l02932" name="l02932"></a><span class="lineno"> 2932</span> absl::StrAppend(&amp;result, constraint_manager_.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a8713b8b4baa0b0c2c54907a1fb63c88f">Statistics</a>());</div>
<div class="line"><a id="l02933" name="l02933"></a><span class="lineno"> 2933</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l02934" name="l02934"></a><span class="lineno"> 2934</span>}</div>
<div class="line"><a id="l02935" name="l02935"></a><span class="lineno"> 2935</span> </div>
<div class="line"><a id="l02936" name="l02936"></a><span class="lineno"> 2936</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l02937" name="l02937"></a><span class="lineno"> 2937</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="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</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_a46e69120fbd3b36e6960e096d23b66f0"><div class="ttname"><a href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a></div><div class="ttdeci">#define DCHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00891">base/logging.h:891</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#l00705">base/logging.h:705</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#l00702">base/logging.h:702</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7cc25402ecd7591b4c39934dd656b1f9"><div class="ttname"><a href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a></div><div class="ttdeci">#define CHECK_GE(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_a7e03ec13560fa94a8fea569960d7efc6"><div class="ttname"><a href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a></div><div class="ttdeci">#define CHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00707">base/logging.h:707</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb"><div class="ttname"><a href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a></div><div class="ttdeci">#define CHECK_NE(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_ab4f56aa24c4c9cddc47a6abd2d747f9a"><div class="ttname"><a href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a></div><div class="ttdeci">#define DCHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00895">base/logging.h:895</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#l00889">base/logging.h:889</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#l00983">base/logging.h:983</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector</a></div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00076">strong_vector.h:76</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a184fe69018ae421dcf31c964bfe40576"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">absl::StrongVector::assign</a></div><div class="ttdeci">void assign(size_type n, const value_type &amp;val)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00131">strong_vector.h:131</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a4e3670a285a3642eaa07f66766cffa72"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">absl::StrongVector::resize</a></div><div class="ttdeci">void resize(size_type new_size)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00150">strong_vector.h:150</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a60304b65bf89363bcc3165d3cde67f86"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">absl::StrongVector::size</a></div><div class="ttdeci">size_type size() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00147">strong_vector.h:147</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a9263000d449fdccb6cb70b303063e60b"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">absl::StrongVector::push_back</a></div><div class="ttdeci">void push_back(const value_type &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00158">strong_vector.h:158</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_ac8bb3912a3ce86b15842e79d0b421204"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204">absl::StrongVector::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00170">strong_vector.h:170</a></div></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_af71e6c1eccbc12e9339c00a86a981a43"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#af71e6c1eccbc12e9339c00a86a981a43">absl::StrongVector::back</a></div><div class="ttdeci">reference back()</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00174">strong_vector.h:174</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_math_util_html_ae94db7b2fa1d8e1b3c1dc6c683191609"><div class="ttname"><a href="classoperations__research_1_1_math_util.html#ae94db7b2fa1d8e1b3c1dc6c683191609">operations_research::MathUtil::GCD64</a></div><div class="ttdeci">static int64_t GCD64(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="mathutil_8h_source.html#l00107">mathutil.h:107</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_rev_repository_html_a176d2c659864433ccd869b5fba8d57af"><div class="ttname"><a href="classoperations__research_1_1_rev_repository.html#a176d2c659864433ccd869b5fba8d57af">operations_research::RevRepository::SetLevel</a></div><div class="ttdeci">void SetLevel(int level) final</div><div class="ttdef"><b>Definition:</b> <a href="rev_8h_source.html#l00134">rev.h:134</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_rev_repository_html_a32476d1fb09b1e06181ee07d30378b02"><div class="ttname"><a href="classoperations__research_1_1_rev_repository.html#a32476d1fb09b1e06181ee07d30378b02">operations_research::RevRepository::SaveState</a></div><div class="ttdeci">void SaveState(T *object)</div><div class="ttdef"><b>Definition:</b> <a href="rev_8h_source.html#l00061">rev.h:61</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_time_limit_html"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html">operations_research::TimeLimit</a></div><div class="ttdoc">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same threa...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00106">time_limit.h:106</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_time_limit_html_a810d5f7aaf80cc09cf5a094e20c1aaca"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html#a810d5f7aaf80cc09cf5a094e20c1aaca">operations_research::TimeLimit::LimitReached</a></div><div class="ttdeci">bool LimitReached()</div><div class="ttdoc">Returns true when the external limit is true, or the deterministic time is over the deterministic lim...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00534">time_limit.h:534</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_glop_parameters_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_glop_parameters.html">operations_research::glop::GlopParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="parameters_8pb_8h_source.html#l00194">parameters.pb.h:195</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_glop_parameters_html_a4c56f991209414085b6650c22418c695"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_glop_parameters.html#a4c56f991209414085b6650c22418c695">operations_research::glop::GlopParameters::MEAN_COST_SCALING</a></div><div class="ttdeci">static constexpr CostScalingAlgorithm MEAN_COST_SCALING</div><div class="ttdef"><b>Definition:</b> <a href="parameters_8pb_8h_source.html#l00455">parameters.pb.h:455</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a0fe7ba825c8c6cd1efdcff6dec631093"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">operations_research::glop::LinearProgram::SetVariableBounds</a></div><div class="ttdeci">void SetVariableBounds(ColIndex col, Fractional lower_bound, Fractional upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00249">lp_data.cc:249</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2a29cc40908e09b0c565ceea15b77d89"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2a29cc40908e09b0c565ceea15b77d89">operations_research::glop::LinearProgram::SetObjectiveOffset</a></div><div class="ttdeci">void SetObjectiveOffset(Fractional objective_offset)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00331">lp_data.cc:331</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2d695f450ae446d5d9c225b991f8d88e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2d695f450ae446d5d9c225b991f8d88e">operations_research::glop::LinearProgram::SetCoefficient</a></div><div class="ttdeci">void SetCoefficient(RowIndex row, ColIndex col, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00317">lp_data.cc:317</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a62b98dec38b6506442f9fc63f1a9b88f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a62b98dec38b6506442f9fc63f1a9b88f">operations_research::glop::LinearProgram::SetConstraintBounds</a></div><div class="ttdeci">void SetConstraintBounds(RowIndex row, Fractional lower_bound, Fractional upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00309">lp_data.cc:309</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a695ac3d8db5a986f572711f2ef3a6a39"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a695ac3d8db5a986f572711f2ef3a6a39">operations_research::glop::LinearProgram::CreateNewVariable</a></div><div class="ttdeci">ColIndex CreateNewVariable()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00162">lp_data.cc:162</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::LinearProgram::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00134">lp_data.cc:134</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aab451f1144133e621abdcd566c048a8d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aab451f1144133e621abdcd566c048a8d">operations_research::glop::LinearProgram::NotifyThatColumnsAreClean</a></div><div class="ttdeci">void NotifyThatColumnsAreClean()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00540">lp_data.h:540</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ab5af7f232cddcd91f70be84c0d398ba9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ab5af7f232cddcd91f70be84c0d398ba9">operations_research::glop::LinearProgram::SetObjectiveCoefficient</a></div><div class="ttdeci">void SetObjectiveCoefficient(ColIndex col, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00326">lp_data.cc:326</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ad9d564651057c77b3f2ca1293134557f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ad9d564651057c77b3f2ca1293134557f">operations_research::glop::LinearProgram::CreateNewConstraint</a></div><div class="ttdeci">RowIndex CreateNewConstraint()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00191">lp_data.cc:191</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_adcc58612f6a1dc35ff3ffdb34188f299"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#adcc58612f6a1dc35ff3ffdb34188f299">operations_research::glop::LinearProgram::GetDimensionString</a></div><div class="ttdeci">std::string GetDimensionString() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00425">lp_data.cc:425</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_adf55bb4fcaab95674f072cb528d426a0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#adf55bb4fcaab95674f072cb528d426a0">operations_research::glop::LinearProgram::objective_scaling_factor</a></div><div class="ttdeci">Fractional objective_scaling_factor() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00261">lp_data.h:261</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aeeee0971281f2781c379fce7a64a5049"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aeeee0971281f2781c379fce7a64a5049">operations_research::glop::LinearProgram::GetSparseColumn</a></div><div class="ttdeci">const SparseColumn &amp; GetSparseColumn(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00409">lp_data.cc:409</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_afda9b9b5e858d0c466d2a6293361004a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#afda9b9b5e858d0c466d2a6293361004a">operations_research::glop::LinearProgram::num_constraints</a></div><div class="ttdeci">RowIndex num_constraints() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00208">lp_data.h:208</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a306cb123e8da242a6daf1c397dfe6e73"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">operations_research::glop::LpScalingHelper::Scale</a></div><div class="ttdeci">void Scale(LinearProgram *lp)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00076">lp_data_utils.cc:76</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a5eb3e38eae8f5143d627e8c85aff8cd7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">operations_research::glop::LpScalingHelper::VariableScalingFactor</a></div><div class="ttdeci">Fractional VariableScalingFactor(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00091">lp_data_utils.cc:91</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a60d41c66b603be0ec7517d437e5c63ec"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a60d41c66b603be0ec7517d437e5c63ec">operations_research::glop::LpScalingHelper::UnscaleVariableValue</a></div><div class="ttdeci">Fractional UnscaleVariableValue(ColIndex col, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00120">lp_data_utils.cc:120</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a7bda8ecfedb49d8fe3fa3868b49b1588"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a7bda8ecfedb49d8fe3fa3868b49b1588">operations_research::glop::LpScalingHelper::UnscaleReducedCost</a></div><div class="ttdeci">Fractional UnscaleReducedCost(ColIndex col, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00126">lp_data_utils.cc:126</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_ad59ff81132bc4f1ac9759c7bf20e6964"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ad59ff81132bc4f1ac9759c7bf20e6964">operations_research::glop::LpScalingHelper::UnscaleDualValue</a></div><div class="ttdeci">Fractional UnscaleDualValue(RowIndex row, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00132">lp_data_utils.cc:132</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a01f64f8af66c6c5a66d3b4ebc868cab6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a01f64f8af66c6c5a66d3b4ebc868cab6">operations_research::glop::RevisedSimplex::GetParameters</a></div><div class="ttdeci">const GlopParameters &amp; GetParameters() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8h_source.html#l00131">revised_simplex.h:131</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a0e35521f3d40e263173626ecc8c21b06"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a0e35521f3d40e263173626ecc8c21b06">operations_research::glop::RevisedSimplex::GetDualRayRowCombination</a></div><div class="ttdeci">const DenseRow &amp; GetDualRayRowCombination() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00663">revised_simplex.cc:663</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a201108c6e8d9fb5104697bdd0a8bd085"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a201108c6e8d9fb5104697bdd0a8bd085">operations_research::glop::RevisedSimplex::GetVariableValue</a></div><div class="ttdeci">Fractional GetVariableValue(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00613">revised_simplex.cc:613</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a2638e7353203c8cb214228147a5e504a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a2638e7353203c8cb214228147a5e504a">operations_research::glop::RevisedSimplex::SetIntegralityScale</a></div><div class="ttdeci">void SetIntegralityScale(ColIndex col, Fractional scale)</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l02520">revised_simplex.cc:2520</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a26689abee13abb7fc0d0cf99c1c7809b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a26689abee13abb7fc0d0cf99c1c7809b">operations_research::glop::RevisedSimplex::GetReducedCosts</a></div><div class="ttdeci">const DenseRow &amp; GetReducedCosts() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00621">revised_simplex.cc:621</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a4802169fde637478bebd1b420eec8ff8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a4802169fde637478bebd1b420eec8ff8">operations_research::glop::RevisedSimplex::GetVariableStatus</a></div><div class="ttdeci">VariableStatus GetVariableStatus(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00629">revised_simplex.cc:629</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a52c80b8028f6d54f8b2c02da3aac7510"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a52c80b8028f6d54f8b2c02da3aac7510">operations_research::glop::RevisedSimplex::GetReducedCost</a></div><div class="ttdeci">Fractional GetReducedCost(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00617">revised_simplex.cc:617</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a66da73868da92948f57a83e261066ca6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a66da73868da92948f57a83e261066ca6">operations_research::glop::RevisedSimplex::GetDualRay</a></div><div class="ttdeci">const DenseColumn &amp; GetDualRay() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00658">revised_simplex.cc:658</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a866a68af5afd0355fb348f7a59eeff9e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a866a68af5afd0355fb348f7a59eeff9e">operations_research::glop::RevisedSimplex::Solve</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status Solve(const LinearProgram &amp;lp, TimeLimit *time_limit)</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00134">revised_simplex.cc:134</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a938b612b6f9885a417fda1bf886f4b39"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a938b612b6f9885a417fda1bf886f4b39">operations_research::glop::RevisedSimplex::GetProblemStatus</a></div><div class="ttdeci">ProblemStatus GetProblemStatus() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00597">revised_simplex.cc:597</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a95e8c74f6630e598f7a9e8032479ab11"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a95e8c74f6630e598f7a9e8032479ab11">operations_research::glop::RevisedSimplex::GetUnitRowLeftInverse</a></div><div class="ttdeci">const ScatteredRow &amp; GetUnitRowLeftInverse(RowIndex row)</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8h_source.html#l00208">revised_simplex.h:208</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_a96c1f660991b5007ca24564f69cd27b8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#a96c1f660991b5007ca24564f69cd27b8">operations_research::glop::RevisedSimplex::GetObjectiveValue</a></div><div class="ttdeci">Fractional GetObjectiveValue() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00601">revised_simplex.cc:601</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_aa4c5e551e5a00ff4ae97d8467184221b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa4c5e551e5a00ff4ae97d8467184221b">operations_research::glop::RevisedSimplex::GetDualValue</a></div><div class="ttdeci">Fractional GetDualValue(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00625">revised_simplex.cc:625</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_aa4dc78f942e63df8b0bf3b95c7af7068"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa4dc78f942e63df8b0bf3b95c7af7068">operations_research::glop::RevisedSimplex::ClearIntegralityScales</a></div><div class="ttdeci">void ClearIntegralityScales()</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8h_source.html#l00235">revised_simplex.h:235</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_aa637d435b14a562f8203eb808add5399"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#aa637d435b14a562f8203eb808add5399">operations_research::glop::RevisedSimplex::NotifyThatMatrixIsUnchangedForNextSolve</a></div><div class="ttdeci">void NotifyThatMatrixIsUnchangedForNextSolve()</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00130">revised_simplex.cc:130</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ac0064327c37c56b93e86a91a1d64fd96"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac0064327c37c56b93e86a91a1d64fd96">operations_research::glop::RevisedSimplex::GetConstraintStatus</a></div><div class="ttdeci">ConstraintStatus GetConstraintStatus(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00641">revised_simplex.cc:641</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ac226833fbf53fdb3fb7b6ef9d89a0e4c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac226833fbf53fdb3fb7b6ef9d89a0e4c">operations_research::glop::RevisedSimplex::GetProblemNumCols</a></div><div class="ttdeci">ColIndex GetProblemNumCols() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00611">revised_simplex.cc:611</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ac4d90743acfe39707571f84f096a58d7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ac4d90743acfe39707571f84f096a58d7">operations_research::glop::RevisedSimplex::LoadStateForNextSolve</a></div><div class="ttdeci">void LoadStateForNextSolve(const BasisState &amp;state)</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00119">revised_simplex.cc:119</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ace91e968c3b7369698c7563ca1c9c6e8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ace91e968c3b7369698c7563ca1c9c6e8">operations_research::glop::RevisedSimplex::GetProblemNumRows</a></div><div class="ttdeci">RowIndex GetProblemNumRows() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00609">revised_simplex.cc:609</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ace96e115f468d752a2fcfeea901b0f8a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ace96e115f468d752a2fcfeea901b0f8a">operations_research::glop::RevisedSimplex::ClearStateForNextSolve</a></div><div class="ttdeci">void ClearStateForNextSolve()</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00113">revised_simplex.cc:113</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ad8a718ceea92060a7f7118e2bccf4fbc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ad8a718ceea92060a7f7118e2bccf4fbc">operations_research::glop::RevisedSimplex::GetNumberOfIterations</a></div><div class="ttdeci">int64_t GetNumberOfIterations() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00605">revised_simplex.cc:605</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_adfbae19f81ecf38f67643dc8b7dcec25"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#adfbae19f81ecf38f67643dc8b7dcec25">operations_research::glop::RevisedSimplex::GetState</a></div><div class="ttdeci">const BasisState &amp; GetState() const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00633">revised_simplex.cc:633</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ae15a49e0cab69203efca232f0b32866d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ae15a49e0cab69203efca232f0b32866d">operations_research::glop::RevisedSimplex::GetBasis</a></div><div class="ttdeci">ColIndex GetBasis(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l00668">revised_simplex.cc:668</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_revised_simplex_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_revised_simplex.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::RevisedSimplex::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &amp;parameters)</div><div class="ttdef"><b>Definition:</b> <a href="revised__simplex_8cc_source.html#l03474">revised_simplex.cc:3474</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::SparseVector::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2sparse__vector_8h_source.html#l00270">lp_data/sparse_vector.h:270</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cover_cut_helper_html_aab767e578fedc6ebe0b264c003671a55"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#aab767e578fedc6ebe0b264c003671a55">operations_research::sat::CoverCutHelper::mutable_cut</a></div><div class="ttdeci">LinearConstraint * mutable_cut()</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00254">cuts.h:254</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cover_cut_helper_html_ac3816c1571dfd130851ed09c79224360"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#ac3816c1571dfd130851ed09c79224360">operations_research::sat::CoverCutHelper::Info</a></div><div class="ttdeci">const std::string Info()</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00258">cuts.h:258</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_cover_cut_helper_html_ad86e161bb994fe49fa9c4298ebb5ae2d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cover_cut_helper.html#ad86e161bb994fe49fa9c4298ebb5ae2d">operations_research::sat::CoverCutHelper::TrySimpleKnapsack</a></div><div class="ttdeci">bool TrySimpleKnapsack(const LinearConstraint base_ct, 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="cuts_8cc_source.html#l01175">cuts.cc:1175</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">operations_research::sat::GenericLiteralWatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01221">integer.h:1221</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_a2f8078e3c74ab15964ea42801732313a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2f8078e3c74ab15964ea42801732313a">operations_research::sat::GenericLiteralWatcher::AlwaysCallAtLevelZero</a></div><div class="ttdeci">void AlwaysCallAtLevelZero(int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02030">integer.cc:2030</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_a8963fd33e7bd70e749b2a37060ef1274"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8963fd33e7bd70e749b2a37060ef1274">operations_research::sat::GenericLiteralWatcher::RegisterReversibleInt</a></div><div class="ttdeci">void RegisterReversibleInt(int id, int *rev)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02039">integer.cc:2039</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_ab2c396c33db5bd5eab32d398c3d55646"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">operations_research::sat::GenericLiteralWatcher::WatchIntegerVariable</a></div><div class="ttdeci">void WatchIntegerVariable(IntegerVariable i, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01583">integer.h:1583</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_ac9d426060b1b7eee72e9e5345379f111"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">operations_research::sat::GenericLiteralWatcher::WatchUpperBound</a></div><div class="ttdeci">void WatchUpperBound(IntegerVariable var, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01577">integer.h:1577</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_adc5598223a363c10d95c00395145bcc6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adc5598223a363c10d95c00395145bcc6">operations_research::sat::GenericLiteralWatcher::SetPropagatorPriority</a></div><div class="ttdeci">void SetPropagatorPriority(int id, int priority)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02018">integer.cc:2018</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_adeee4ac52bfe0f1b48ee8958bb88b4e3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">operations_research::sat::GenericLiteralWatcher::Register</a></div><div class="ttdeci">int Register(PropagatorInterface *propagator)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01995">integer.cc:1995</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds.html">operations_research::sat::ImpliedBounds</a></div><div class="ttdef"><b>Definition:</b> <a href="implied__bounds_8h_source.html#l00079">implied_bounds.h:79</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_processor_html_a07e1de12d9a4b00c96911544e72b86d4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#a07e1de12d9a4b00c96911544e72b86d4">operations_research::sat::ImpliedBoundsProcessor::AddLpVariable</a></div><div class="ttdeci">void AddLpVariable(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00113">cuts.h:113</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_processor_html_a135d2e8757ef674942be0b1d6f46f75b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#a135d2e8757ef674942be0b1d6f46f75b">operations_research::sat::ImpliedBoundsProcessor::ProcessUpperBoundedConstraintWithSlackCreation</a></div><div class="ttdeci">void ProcessUpperBoundedConstraintWithSlackCreation(bool substitute_only_inner_variables, IntegerVariable first_slack, const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_values, LinearConstraint *cut, std::vector&lt; SlackInfo &gt; *slack_infos)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01598">cuts.cc:1598</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_processor_html_a25ce3a542ac1e183148844cb649069fd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#a25ce3a542ac1e183148844cb649069fd">operations_research::sat::ImpliedBoundsProcessor::IbCutPool</a></div><div class="ttdeci">TopNCuts &amp; IbCutPool()</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00128">cuts.h:128</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_processor_html_ab1b4642341faf5ff972b02f034d88f21"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#ab1b4642341faf5ff972b02f034d88f21">operations_research::sat::ImpliedBoundsProcessor::DebugSlack</a></div><div class="ttdeci">bool DebugSlack(IntegerVariable first_slack, const LinearConstraint &amp;initial_cut, const LinearConstraint &amp;cut, const std::vector&lt; SlackInfo &gt; &amp;info)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01731">cuts.cc:1731</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_implied_bounds_processor_html_ab354ebe396f7f5ad0c79ff2a928d9a40"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_implied_bounds_processor.html#ab354ebe396f7f5ad0c79ff2a928d9a40">operations_research::sat::ImpliedBoundsProcessor::RecomputeCacheAndSeparateSomeImpliedBoundCuts</a></div><div class="ttdeci">void RecomputeCacheAndSeparateSomeImpliedBoundCuts(const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_values)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l01588">cuts.cc:1588</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_incremental_average_html_a198870bbc0f9b8d197a4c80f766ddf49"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_incremental_average.html#a198870bbc0f9b8d197a4c80f766ddf49">operations_research::sat::IncrementalAverage::AddData</a></div><div class="ttdeci">void AddData(double new_record)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2util_8cc_source.html#l00234">sat/util.cc:234</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_incremental_average_html_a6d9b473fa04b0558a8e48737f5ab9564"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_incremental_average.html#a6d9b473fa04b0558a8e48737f5ab9564">operations_research::sat::IncrementalAverage::CurrentAverage</a></div><div class="ttdeci">double CurrentAverage() const</div><div class="ttdef"><b>Definition:</b> <a href="sat_2util_8h_source.html#l00168">sat/util.h:168</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html">operations_research::sat::IntegerEncoder</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00356">integer.h:356</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html_a308a6df2722f2c0f36ec8888f4458b41"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">operations_research::sat::IntegerEncoder::GetLiteralView</a></div><div class="ttdeci">const IntegerVariable GetLiteralView(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00493">integer.h:493</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_rounding_cut_helper_html_a4f879f884fd170f77c9024aee023feb2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_rounding_cut_helper.html#a4f879f884fd170f77c9024aee023feb2">operations_research::sat::IntegerRoundingCutHelper::NumLiftedBooleans</a></div><div class="ttdeci">int NumLiftedBooleans() const</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00224">cuts.h:224</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_rounding_cut_helper_html_a66c8e6dc26260b69dcdf7668925dc3aa"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_rounding_cut_helper.html#a66c8e6dc26260b69dcdf7668925dc3aa">operations_research::sat::IntegerRoundingCutHelper::ComputeCut</a></div><div class="ttdeci">void ComputeCut(RoundingOptions options, 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, ImpliedBoundsProcessor *ib_processor, LinearConstraint *cut)</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8cc_source.html#l00721">cuts.cc:721</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00613">integer.h:613</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a05e837bb93eeabbbd94e8f690dd59d32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">operations_research::sat::IntegerTrail::Enqueue</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool Enqueue(IntegerLiteral i_lit, absl::Span&lt; const Literal &gt; literal_reason, absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01027">integer.cc:1027</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a309d057e12c8d4d393f13975eea2e2a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">operations_research::sat::IntegerTrail::IsCurrentlyIgnored</a></div><div class="ttdeci">bool IsCurrentlyIgnored(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00698">integer.h:698</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a523501d854b2ca8034d37c15e7c89117"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">operations_research::sat::IntegerTrail::IsFixed</a></div><div class="ttdeci">bool IsFixed(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01443">integer.h:1443</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a615d87982145007855f2102262cf773c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">operations_research::sat::IntegerTrail::LowerBoundAsLiteral</a></div><div class="ttdeci">IntegerLiteral LowerBoundAsLiteral(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01467">integer.h:1467</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a6d55b5b9adc499095dd57dd0c2b6c7df"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">operations_research::sat::IntegerTrail::ReportConflict</a></div><div class="ttdeci">bool ReportConflict(absl::Span&lt; const Literal &gt; literal_reason, absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00917">integer.h:917</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01439">integer.h:1439</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a8ef12397d1682615bc3108c397734179"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ef12397d1682615bc3108c397734179">operations_research::sat::IntegerTrail::Index</a></div><div class="ttdeci">int Index() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00944">integer.h:944</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a9ab880b5e67213a0607c5c3935da9f08"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">operations_research::sat::IntegerTrail::LevelZeroUpperBound</a></div><div class="ttdeci">IntegerValue LevelZeroUpperBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01524">integer.h:1524</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa68cc40c827bff2fb311040e2b848f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">operations_research::sat::IntegerTrail::LevelZeroLowerBound</a></div><div class="ttdeci">IntegerValue LevelZeroLowerBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01519">integer.h:1519</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa981297d0a648cd5c3fef40e2edebf8a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">operations_research::sat::IntegerTrail::RelaxLinearReason</a></div><div class="ttdeci">void RelaxLinearReason(IntegerValue slack, absl::Span&lt; const IntegerValue &gt; coeffs, std::vector&lt; IntegerLiteral &gt; *reason) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00805">integer.cc:805</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01435">integer.h:1435</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ac0a2e8c6619af74b42472bfa9a9e6465"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">operations_research::sat::IntegerTrail::UpperBoundAsLiteral</a></div><div class="ttdeci">IntegerLiteral UpperBoundAsLiteral(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01472">integer.h:1472</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ac746d3665776d57cb5ecd46fbdda7de7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">operations_research::sat::IntegerTrail::IsFixedAtLevelZero</a></div><div class="ttdeci">bool IsFixedAtLevelZero(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01529">integer.h:1529</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_adfce09ac65fc660f8a4f019f4072c6a7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#adfce09ac65fc660f8a4f019f4072c6a7">operations_research::sat::IntegerTrail::RemoveLevelZeroBounds</a></div><div class="ttdeci">void RemoveLevelZeroBounds(std::vector&lt; IntegerLiteral &gt; *reason) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00939">integer.cc:939</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ae517412fa6f592ccb7c8e0f1569ba983"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ae517412fa6f592ccb7c8e0f1569ba983">operations_research::sat::IntegerTrail::RegisterReversibleClass</a></div><div class="ttdeci">void RegisterReversibleClass(ReversibleInterface *rev)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00940">integer.h:940</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html">operations_research::sat::LinearConstraintManager</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8h_source.html#l00043">linear_constraint_manager.h:43</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a1951610defebe3a3b82d99006793486a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a1951610defebe3a3b82d99006793486a">operations_research::sat::LinearConstraintManager::ChangeLp</a></div><div class="ttdeci">bool ChangeLp(const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_solution, glop::BasisState *solution_state)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00445">linear_constraint_manager.cc:445</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a1afbe8d162a9cba17a520812ec6d3dd4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a1afbe8d162a9cba17a520812ec6d3dd4">operations_research::sat::LinearConstraintManager::DebugCheckConstraint</a></div><div class="ttdeci">bool DebugCheckConstraint(const LinearConstraint &amp;cut)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00695">linear_constraint_manager.cc:695</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a36295bfe464bcdb6465fe796a43d02bf"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a36295bfe464bcdb6465fe796a43d02bf">operations_research::sat::LinearConstraintManager::SetObjectiveCoefficient</a></div><div class="ttdeci">void SetObjectiveCoefficient(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00305">linear_constraint_manager.cc:305</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a40e3f0f21a2c16b673c84f734ba6d095"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a40e3f0f21a2c16b673c84f734ba6d095">operations_research::sat::LinearConstraintManager::Add</a></div><div class="ttdeci">ConstraintIndex Add(LinearConstraint ct, bool *added=nullptr)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00134">linear_constraint_manager.cc:134</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a67d4aee57d03ae5f47f7df3d6de12247"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a67d4aee57d03ae5f47f7df3d6de12247">operations_research::sat::LinearConstraintManager::LpConstraints</a></div><div class="ttdeci">const std::vector&lt; ConstraintIndex &gt; &amp; LpConstraints() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8h_source.html#l00123">linear_constraint_manager.h:123</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a8713b8b4baa0b0c2c54907a1fb63c88f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a8713b8b4baa0b0c2c54907a1fb63c88f">operations_research::sat::LinearConstraintManager::Statistics</a></div><div class="ttdeci">std::string Statistics() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00046">linear_constraint_manager.cc:46</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a87cc96a3e72099107712a0386d89d851"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a87cc96a3e72099107712a0386d89d851">operations_research::sat::LinearConstraintManager::AddAllConstraintsToLp</a></div><div class="ttdeci">void AddAllConstraintsToLp()</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00687">linear_constraint_manager.cc:687</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_a9456bb31790e4dae791914e3c065b460"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#a9456bb31790e4dae791914e3c065b460">operations_research::sat::LinearConstraintManager::AddCut</a></div><div class="ttdeci">bool AddCut(LinearConstraint ct, std::string type_name, const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_solution, std::string extra_info=&quot;&quot;)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00210">linear_constraint_manager.cc:210</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_constraint_manager_html_abcc3b906de437713aa22e4f4fda9f337"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_manager.html#abcc3b906de437713aa22e4f4fda9f337">operations_research::sat::LinearConstraintManager::AllConstraints</a></div><div class="ttdeci">const absl::StrongVector&lt; ConstraintIndex, ConstraintInfo &gt; &amp; AllConstraints() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8h_source.html#l00116">linear_constraint_manager.h:116</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_collection_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint_collection.html">operations_research::sat::LinearProgrammingConstraintCollection</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8h_source.html#l00566">linear_programming_constraint.h:567</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a0010273383670a7c67b3b8f2660aa06b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a0010273383670a7c67b3b8f2660aa06b">operations_research::sat::LinearProgrammingConstraint::Propagate</a></div><div class="ttdeci">bool Propagate() override</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l01437">linear_programming_constraint.cc:1437</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a3c19742220492e052d7a85a330df90e6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a3c19742220492e052d7a85a330df90e6">operations_research::sat::LinearProgrammingConstraint::DimensionString</a></div><div class="ttdeci">std::string DimensionString() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8h_source.html#l00176">linear_programming_constraint.h:176</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a460fe5216ff7f997841e588d432be744"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a460fe5216ff7f997841e588d432be744">operations_research::sat::LinearProgrammingConstraint::GetSolutionValue</a></div><div class="ttdeci">double GetSolutionValue(IntegerVariable variable) const</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00615">linear_programming_constraint.cc:615</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a51cf34a6b42aa05c92f9b0b971b03dc9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a51cf34a6b42aa05c92f9b0b971b03dc9">operations_research::sat::LinearProgrammingConstraint::RegisterWith</a></div><div class="ttdeci">void RegisterWith(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00512">linear_programming_constraint.cc:512</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a67a7327915e66c0514cfa465a0475be1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a67a7327915e66c0514cfa465a0475be1">operations_research::sat::LinearProgrammingConstraint::ConstraintIndex</a></div><div class="ttdeci">glop::RowIndex ConstraintIndex</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8h_source.html#l00134">linear_programming_constraint.h:134</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a6ae27451c3238e2af96991a030b7556c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a6ae27451c3238e2af96991a030b7556c">operations_research::sat::LinearProgrammingConstraint::HeuristicLpReducedCostAverageBranching</a></div><div class="ttdeci">std::function&lt; IntegerLiteral()&gt; HeuristicLpReducedCostAverageBranching()</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02861">linear_programming_constraint.cc:2861</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a8172ae7d172bec9d3a417ddcaab7c474"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a8172ae7d172bec9d3a417ddcaab7c474">operations_research::sat::LinearProgrammingConstraint::LinearProgrammingConstraint</a></div><div class="ttdeci">LinearProgrammingConstraint(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00156">linear_programming_constraint.cc:156</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a8713b8b4baa0b0c2c54907a1fb63c88f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a8713b8b4baa0b0c2c54907a1fb63c88f">operations_research::sat::LinearProgrammingConstraint::Statistics</a></div><div class="ttdeci">std::string Statistics() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02920">linear_programming_constraint.cc:2920</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_a874f2f502681d547a666278de20564e3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#a874f2f502681d547a666278de20564e3">operations_research::sat::LinearProgrammingConstraint::HeuristicLpReducedCostBinary</a></div><div class="ttdeci">std::function&lt; IntegerLiteral()&gt; HeuristicLpReducedCostBinary(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02706">linear_programming_constraint.cc:2706</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_aaac2d8dee4d7fc8d5e9a1b1cfc3021bc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aaac2d8dee4d7fc8d5e9a1b1cfc3021bc">operations_research::sat::LinearProgrammingConstraint::AddLinearConstraint</a></div><div class="ttdeci">void AddLinearConstraint(const LinearConstraint &amp;ct)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00183">linear_programming_constraint.cc:183</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_aadd64e5df937ad4d29342ef997d6b9fc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aadd64e5df937ad4d29342ef997d6b9fc">operations_research::sat::LinearProgrammingConstraint::IncrementalPropagate</a></div><div class="ttdeci">bool IncrementalPropagate(const std::vector&lt; int &gt; &amp;watch_indices) override</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00578">linear_programming_constraint.cc:578</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_abd4d63996bf53e4b9251cc9fac30040d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#abd4d63996bf53e4b9251cc9fac30040d">operations_research::sat::LinearProgrammingConstraint::SetLevel</a></div><div class="ttdeci">void SetLevel(int level) override</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00548">linear_programming_constraint.cc:548</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_abe80d18b1ff9d46681da4c752352e53c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#abe80d18b1ff9d46681da4c752352e53c">operations_research::sat::LinearProgrammingConstraint::HeuristicLpMostInfeasibleBinary</a></div><div class="ttdeci">std::function&lt; IntegerLiteral()&gt; HeuristicLpMostInfeasibleBinary(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02660">linear_programming_constraint.cc:2660</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_ae384be06329c4c8f8fd62af7335dae2e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#ae384be06329c4c8f8fd62af7335dae2e">operations_research::sat::LinearProgrammingConstraint::SetObjectiveCoefficient</a></div><div class="ttdeci">void SetObjectiveCoefficient(IntegerVariable ivar, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00221">linear_programming_constraint.cc:221</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_aeb58dc2ca6b2d8f627b837fcfaa4955a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aeb58dc2ca6b2d8f627b837fcfaa4955a">operations_research::sat::LinearProgrammingConstraint::GetSolutionReducedCost</a></div><div class="ttdeci">double GetSolutionReducedCost(IntegerVariable variable) const</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00620">linear_programming_constraint.cc:620</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_constraint_html_aefa083730af18963c9bfd9915b5cd187"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_constraint.html#aefa083730af18963c9bfd9915b5cd187">operations_research::sat::LinearProgrammingConstraint::AddCutGenerator</a></div><div class="ttdeci">void AddCutGenerator(CutGenerator generator)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00571">linear_programming_constraint.cc:571</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_linear_programming_dispatcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_programming_dispatcher.html">operations_research::sat::LinearProgrammingDispatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8h_source.html#l00558">linear_programming_constraint.h:560</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00038">sat/model.h:38</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#l00090">sat/util.h:90</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html">operations_research::sat::SatParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l00347">sat_parameters.pb.h:348</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a067f8d5ca3f3a7b4e01e47d6d07f08b1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a067f8d5ca3f3a7b4e01e47d6d07f08b1">operations_research::sat::SatParameters::linearization_level</a></div><div class="ttdeci">int32_t linearization_level() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06173">sat_parameters.pb.h:6173</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a2aa19be6ac4d8115034a3747b315c298"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a2aa19be6ac4d8115034a3747b315c298">operations_research::sat::SatParameters::polish_lp_solution</a></div><div class="ttdeci">bool polish_lp_solution() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l08051">sat_parameters.pb.h:8051</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a3385f97b807c3b670918f1134c9b7220"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a3385f97b807c3b670918f1134c9b7220">operations_research::sat::SatParameters::add_mir_cuts</a></div><div class="ttdeci">bool add_mir_cuts() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06397">sat_parameters.pb.h:6397</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a4c13e74135856e16be00134057fb3aa1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a4c13e74135856e16be00134057fb3aa1">operations_research::sat::SatParameters::cut_level</a></div><div class="ttdeci">int32_t cut_level() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06285">sat_parameters.pb.h:6285</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a6b90adaa2d3320ef5339dbf2064f9c93"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a6b90adaa2d3320ef5339dbf2064f9c93">operations_research::sat::SatParameters::add_objective_cut</a></div><div class="ttdeci">bool add_objective_cut() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06341">sat_parameters.pb.h:6341</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_a76a4a756db0f83aac010556b132df214"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#a76a4a756db0f83aac010556b132df214">operations_research::sat::SatParameters::use_branching_in_lp</a></div><div class="ttdeci">bool use_branching_in_lp() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l07939">sat_parameters.pb.h:7939</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_aa1f93c70c349b5f740fefe5317b7f9fc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#aa1f93c70c349b5f740fefe5317b7f9fc">operations_research::sat::SatParameters::LP_SEARCH</a></div><div class="ttdeci">static constexpr SearchBranching LP_SEARCH</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l00780">sat_parameters.pb.h:780</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_aaba8ad98a68d9b1b1fa20011ea878ce8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#aaba8ad98a68d9b1b1fa20011ea878ce8">operations_research::sat::SatParameters::add_cg_cuts</a></div><div class="ttdeci">bool add_cg_cuts() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06369">sat_parameters.pb.h:6369</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_aafecb044a22711bb5459838afef55033"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#aafecb044a22711bb5459838afef55033">operations_research::sat::SatParameters::add_zero_half_cuts</a></div><div class="ttdeci">bool add_zero_half_cuts() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06425">sat_parameters.pb.h:6425</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_ab3225e1743a8e4f188625bea985b3e4b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#ab3225e1743a8e4f188625bea985b3e4b">operations_research::sat::SatParameters::add_lp_constraints_lazily</a></div><div class="ttdeci">bool add_lp_constraints_lazily() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06565">sat_parameters.pb.h:6565</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_abca1c416bcecfd0da9c5260df13f5c4f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#abca1c416bcecfd0da9c5260df13f5c4f">operations_research::sat::SatParameters::use_exact_lp_reason</a></div><div class="ttdeci">bool use_exact_lp_reason() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l07911">sat_parameters.pb.h:7911</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_acc8b3b2cd593c2fbc656e40b0c04ef80"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#acc8b3b2cd593c2fbc656e40b0c04ef80">operations_research::sat::SatParameters::max_cut_rounds_at_level_zero</a></div><div class="ttdeci">int32_t max_cut_rounds_at_level_zero() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06621">sat_parameters.pb.h:6621</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_ae352c86cc9b48791890dcb4ec8298a3f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#ae352c86cc9b48791890dcb4ec8298a3f">operations_research::sat::SatParameters::max_integer_rounding_scaling</a></div><div class="ttdeci">int32_t max_integer_rounding_scaling() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06537">sat_parameters.pb.h:6537</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_parameters_html_aed8cf718ab869f5c05d6bd6f348c3207"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html#aed8cf718ab869f5c05d6bd6f348c3207">operations_research::sat::SatParameters::only_add_cuts_at_level_zero</a></div><div class="ttdeci">bool only_add_cuts_at_level_zero() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l06313">sat_parameters.pb.h:6313</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00058">sat_solver.h:58</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scattered_integer_vector_html_a1077b795353fa06d7705f43377bedfe9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a1077b795353fa06d7705f43377bedfe9">operations_research::sat::ScatteredIntegerVector::ConvertToLinearConstraint</a></div><div class="ttdeci">void ConvertToLinearConstraint(const std::vector&lt; IntegerVariable &gt; &amp;integer_variables, IntegerValue upper_bound, LinearConstraint *result)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00109">linear_programming_constraint.cc:109</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scattered_integer_vector_html_a4940f758f3c0e757a4bcb5bbf795ce67"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a4940f758f3c0e757a4bcb5bbf795ce67">operations_research::sat::ScatteredIntegerVector::Add</a></div><div class="ttdeci">bool Add(glop::ColIndex col, IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00068">linear_programming_constraint.cc:68</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scattered_integer_vector_html_a65d000f780742581ff592c56c0a6e261"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#a65d000f780742581ff592c56c0a6e261">operations_research::sat::ScatteredIntegerVector::AddLinearExpressionMultiple</a></div><div class="ttdeci">bool AddLinearExpressionMultiple(IntegerValue multiplier, const std::vector&lt; std::pair&lt; glop::ColIndex, IntegerValue &gt; &gt; &amp;terms)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00081">linear_programming_constraint.cc:81</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scattered_integer_vector_html_ab2fc4510692e040b62507dce522e0e31"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#ab2fc4510692e040b62507dce522e0e31">operations_research::sat::ScatteredIntegerVector::ClearAndResize</a></div><div class="ttdeci">void ClearAndResize(int size)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00051">linear_programming_constraint.cc:51</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_scattered_integer_vector_html_abd20bd618d3e097f3b59958764460578"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_scattered_integer_vector.html#abd20bd618d3e097f3b59958764460578">operations_research::sat::ScatteredIntegerVector::GetTerms</a></div><div class="ttdeci">std::vector&lt; std::pair&lt; glop::ColIndex, IntegerValue &gt; &gt; GetTerms()</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l00136">linear_programming_constraint.cc:136</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_top_n_cuts_html_afb0f85e921e0f240d59d2a739e6b5712"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_top_n_cuts.html#afb0f85e921e0f240d59d2a739e6b5712">operations_research::sat::TopNCuts::TransferToManager</a></div><div class="ttdeci">void TransferToManager(const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_solution, LinearConstraintManager *manager)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint__manager_8cc_source.html#l00726">linear_constraint_manager.cc:726</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00235">sat_base.h:235</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_ab932e215c6dff3fe8f077d4d6a409c0c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#ab932e215c6dff3fe8f077d4d6a409c0c">operations_research::sat::Trail::MutableConflict</a></div><div class="ttdeci">std::vector&lt; Literal &gt; * MutableConflict()</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00363">sat_base.h:363</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_ad63c4461a1384629cb99413c6df8b9ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">operations_research::sat::Trail::CurrentDecisionLevel</a></div><div class="ttdeci">int CurrentDecisionLevel() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00357">sat_base.h:357</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#l00028">zero_half_cuts.cc:28</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#l00058">zero_half_cuts.cc:58</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#l00227">zero_half_cuts.cc:227</a></div></div>
<div class="ttc" id="acommandlineflags_8h_html"><div class="ttname"><a href="commandlineflags_8h.html">commandlineflags.h</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="aconstraint__solver_8cc_html_a395f613555f398dd389670bb4c2a4599"><div class="ttname"><a href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a></div><div class="ttdeci">Block * next</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_8cc_source.html#l00678">constraint_solver.cc:678</a></div></div>
<div class="ttc" id="acp__model__fz__solver_8cc_html_a10a1eab179b472c030bdc2a2efef7219"><div class="ttname"><a href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a></div><div class="ttdeci">SatParameters parameters</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__fz__solver_8cc_source.html#l00120">cp_model_fz_solver.cc:120</a></div></div>
<div class="ttc" id="adefault__search_8cc_html_ac673bc430bdc3fdaa09f7becf98ef267"><div class="ttname"><a href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a></div><div class="ttdeci">const std::string name</div><div class="ttdef"><b>Definition:</b> <a href="default__search_8cc_source.html#l00813">default_search.cc:813</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_a05da18ca9c7b657a4a6ea24e07c9b695"><div class="ttname"><a href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a></div><div class="ttdeci">const Constraint * ct</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</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="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
<div class="ttc" id="ag__gurobi_8cc_html_a2237393c7ae7ad7344c9885066d5ab6d"><div class="ttname"><a href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a></div><div class="ttdeci">absl::Status status</div><div class="ttdef"><b>Definition:</b> <a href="g__gurobi_8cc_source.html#l00035">g_gurobi.cc:35</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00137">gscip_solver.cc:137</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00136">gscip_solver.cc:136</a></div></div>
<div class="ttc" id="agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
<div class="ttc" id="aimplied__bounds_8h_html"><div class="ttname"><a href="implied__bounds_8h.html">implied_bounds.h</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="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
<div class="ttc" id="alinear__programming__constraint_8h_html"><div class="ttname"><a href="linear__programming__constraint_8h.html">linear_programming_constraint.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="amacros_8h_html_a7f536a3b33f9bed8f75734e035d30725"><div class="ttname"><a href="macros_8h.html#a7f536a3b33f9bed8f75734e035d30725">DEBUG_MODE</a></div><div class="ttdeci">const bool DEBUG_MODE</div><div class="ttdef"><b>Definition:</b> <a href="macros_8h_source.html#l00024">macros.h:24</a></div></div>
<div class="ttc" id="amap__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.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="amathutil_8h_html"><div class="ttname"><a href="mathutil_8h.html">mathutil.h</a></div></div>
<div class="ttc" id="anamespacegtl_html_a73f41ac11336b94768fdd41594153d59"><div class="ttname"><a href="namespacegtl.html#a73f41ac11336b94768fdd41594153d59">gtl::FindOrDie</a></div><div class="ttdeci">const Collection::value_type::second_type &amp; FindOrDie(const Collection &amp;collection, const typename Collection::value_type::first_type &amp;key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00206">map_util.h:206</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a0f6bd47b8956b59589718bd40b1cf8bca14dc61f52267ea9b476f64c1d4d975b1"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca14dc61f52267ea9b476f64c1d4d975b1">operations_research::glop::ConstraintStatus::AT_UPPER_BOUND</a></div><div class="ttdeci">@ AT_UPPER_BOUND</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a0f6bd47b8956b59589718bd40b1cf8bca74c506bd3d744fb5c2862229c8f2b6ce"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca74c506bd3d744fb5c2862229c8f2b6ce">operations_research::glop::ConstraintStatus::AT_LOWER_BOUND</a></div><div class="ttdeci">@ AT_LOWER_BOUND</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a0f6bd47b8956b59589718bd40b1cf8bca88c189a42c87aa49d667fc8ab76bc323"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bca88c189a42c87aa49d667fc8ab76bc323">operations_research::glop::ConstraintStatus::FREE</a></div><div class="ttdeci">@ FREE</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae4ac03f6c9f00665644e868dd1fb9f1e">operations_research::glop::ConstraintStatus::BASIC</a></div><div class="ttdeci">@ BASIC</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bcae91836db656214f9797e10c15928e501">operations_research::glop::ConstraintStatus::FIXED_VALUE</a></div><div class="ttdeci">@ FIXED_VALUE</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a4dc8ae0f97c4110f3cc770715b2bbd12"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">operations_research::glop::DenseRow</a></div><div class="ttdeci">StrictITIVector&lt; ColIndex, Fractional &gt; DenseRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00303">lp_types.h:303</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a509c4e359e6f7041eddfac3f1c46a92f"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a509c4e359e6f7041eddfac3f1c46a92f">operations_research::glop::GetProblemStatusString</a></div><div class="ttdeci">std::string GetProblemStatusString(ProblemStatus problem_status)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8cc_source.html#l00019">lp_types.cc:19</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">operations_research::glop::Fractional</a></div><div class="ttdeci">double Fractional</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00078">lp_types.h:78</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a884f3b645d22471e5ed3320e182cd493"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493">operations_research::glop::ProblemStatus</a></div><div class="ttdeci">ProblemStatus</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00102">lp_types.h:102</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a57ad14e7a035f33c8ba6c0ea9ea23caa">operations_research::glop::ProblemStatus::DUAL_FEASIBLE</a></div><div class="ttdeci">@ DUAL_FEASIBLE</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a884f3b645d22471e5ed3320e182cd493a88ec4386a3c49b50819358a579fb9adb"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a88ec4386a3c49b50819358a579fb9adb">operations_research::glop::ProblemStatus::ABNORMAL</a></div><div class="ttdeci">@ ABNORMAL</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493a8ada5da7749eac0d9fe1782ad9bab585">operations_research::glop::ProblemStatus::DUAL_UNBOUNDED</a></div><div class="ttdeci">@ DUAL_UNBOUNDED</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493af00c8dbdd6e1f11bdae06be94277d293">operations_research::glop::ProblemStatus::OPTIMAL</a></div><div class="ttdeci">@ OPTIMAL</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a8fbc9efd86a3cc862a9079d86ab8b524"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">operations_research::glop::RowToColIndex</a></div><div class="ttdeci">ColIndex RowToColIndex(RowIndex row)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00049">lp_types.h:49</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_aaddc7ccf1acc75842c2129ee4590d358ae4ac03f6c9f00665644e868dd1fb9f1e"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358ae4ac03f6c9f00665644e868dd1fb9f1e">operations_research::glop::VariableStatus::BASIC</a></div><div class="ttdeci">@ BASIC</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ab65a327cfc2a74c15fa26b91f19acc64"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">operations_research::glop::ColToRowIndex</a></div><div class="ttdeci">RowIndex ColToRowIndex(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00052">lp_types.h:52</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_acf67607e9e6dd5986836b79ce28b80c4"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#acf67607e9e6dd5986836b79ce28b80c4">operations_research::glop::kEpsilon</a></div><div class="ttdeci">const double kEpsilon</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00087">lp_types.h:87</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ae5fa9e57c2d31b294195ed8a9e17bfac"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">operations_research::glop::DenseColumn</a></div><div class="ttdeci">StrictITIVector&lt; RowIndex, Fractional &gt; DenseColumn</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00332">lp_types.h:332</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a07823d046b027c81155f8a2f322cf813"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">operations_research::sat::FloorRatio</a></div><div class="ttdeci">IntegerValue FloorRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00092">integer.h:92</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a0a5fb77a89e69aa0f99f00187dbdd798"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0a5fb77a89e69aa0f99f00187dbdd798">operations_research::sat::CreateCVRPCutGenerator</a></div><div class="ttdeci">CutGenerator CreateCVRPCutGenerator(int num_nodes, const std::vector&lt; int &gt; &amp;tails, const std::vector&lt; int &gt; &amp;heads, const std::vector&lt; Literal &gt; &amp;literals, const std::vector&lt; int64_t &gt; &amp;demands, int64_t capacity, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02639">linear_programming_constraint.cc:2639</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a0c9e8fab437ba44c91b0493a74cde263"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">operations_research::sat::AddProductTo</a></div><div class="ttdeci">bool AddProductTo(IntegerValue a, IntegerValue b, IntegerValue *result)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00115">integer.h:115</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits&lt; IntegerValue::ValueType &gt;::max() - 1)</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#l00079">integer.h:79</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5d3aa6734674f8f81aac3895cde58d6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5d3aa6734674f8f81aac3895cde58d6d">operations_research::sat::MakeAllCoefficientsPositive</a></div><div class="ttdeci">void MakeAllCoefficientsPositive(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00233">linear_constraint.cc:233</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a7f1ac774d4646a83631f8117f4ea03f5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">operations_research::sat::PositiveVariable</a></div><div class="ttdeci">IntegerVariable PositiveVariable(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00143">integer.h:143</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; NegationOf(const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00030">integer.cc:30</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acb294633c7688f918623b3b0e09aec43"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acb294633c7688f918623b3b0e09aec43">operations_research::sat::ComputeInfinityNorm</a></div><div class="ttdeci">IntegerValue ComputeInfinityNorm(const LinearConstraint &amp;constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00159">linear_constraint.cc:159</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad114b3c6ee51d854d3715a8a3be50f99"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad114b3c6ee51d854d3715a8a3be50f99">operations_research::sat::SeparateSubtourInequalities</a></div><div class="ttdeci">void SeparateSubtourInequalities(int num_nodes, const std::vector&lt; int &gt; &amp;tails, const std::vector&lt; int &gt; &amp;heads, const std::vector&lt; Literal &gt; &amp;literals, const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_values, absl::Span&lt; const int64_t &gt; demands, int64_t capacity, LinearConstraintManager *manager, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02381">linear_programming_constraint.cc:2381</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae2544d2a3a5ef4c78f8e5891f104ab41"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">operations_research::sat::VariableIsPositive</a></div><div class="ttdeci">bool VariableIsPositive(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00139">integer.h:139</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae3c495e2e05950c578b01976701f9b2a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae3c495e2e05950c578b01976701f9b2a">operations_research::sat::DivideByGCD</a></div><div class="ttdeci">void DivideByGCD(LinearConstraint *constraint)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00206">linear_constraint.cc:206</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae9e5d88686fd52d3bd1a89d7754ca18c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae9e5d88686fd52d3bd1a89d7754ca18c">operations_research::sat::CreateStronglyConnectedGraphCutGenerator</a></div><div class="ttdeci">CutGenerator CreateStronglyConnectedGraphCutGenerator(int num_nodes, const std::vector&lt; int &gt; &amp;tails, const std::vector&lt; int &gt; &amp;heads, const std::vector&lt; Literal &gt; &amp;literals, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8cc_source.html#l02622">linear_programming_constraint.cc:2622</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aea18a909121c1c2ba4a818298611f0b2"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aea18a909121c1c2ba4a818298611f0b2">operations_research::sat::ComputeActivity</a></div><div class="ttdeci">double ComputeActivity(const LinearConstraint &amp;constraint, const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;values)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00139">linear_constraint.cc:139</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#l00071">integer.h:71</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="anamespaceoperations__research_html_a111f44b9b9cf67a8e8d83794ac9f5291"><div class="ttname"><a href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">operations_research::CapAdd</a></div><div class="ttdeci">int64_t CapAdd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00126">saturated_arithmetic.h:126</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_a4a43d435871f16c321861fa5de32df82"><div class="ttname"><a href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">operations_research::CapSub</a></div><div class="ttdeci">int64_t CapSub(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00158">saturated_arithmetic.h:158</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_a7deeae530369e107f9d91c1a189f451f"><div class="ttname"><a href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">operations_research::Arc</a></div><div class="ttdeci">std::pair&lt; int64_t, int64_t &gt; Arc</div><div class="ttdef"><b>Definition:</b> <a href="search_8cc_source.html#l03434">search.cc:3434</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_aa64bf49d041052c7cb3f40f7496d7534"><div class="ttname"><a href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">operations_research::CapProd</a></div><div class="ttdeci">int64_t CapProd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00235">saturated_arithmetic.h:235</a></div></div>
<div class="ttc" id="apack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
<div class="ttc" id="aparameters_8pb_8h_html"><div class="ttname"><a href="parameters_8pb_8h.html">parameters.pb.h</a></div></div>
<div class="ttc" id="apreprocessor_8h_html"><div class="ttname"><a href="preprocessor_8h.html">preprocessor.h</a></div></div>
<div class="ttc" id="aresource_8cc_html_a29fb0dd9484d890b12b280c41c150e20"><div class="ttname"><a href="resource_8cc.html#a29fb0dd9484d890b12b280c41c150e20">demand</a></div><div class="ttdeci">int64_t demand</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00125">resource.cc:125</a></div></div>
<div class="ttc" id="arouting__filters_8cc_html_a4f1e8002734902ae1c65ccc3fc30c98e"><div class="ttname"><a href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a></div><div class="ttdeci">int64_t bound</div><div class="ttdef"><b>Definition:</b> <a href="routing__filters_8cc_source.html#l00969">routing_filters.cc:969</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_a2acb49f4df5288066c43610bede123ec"><div class="ttname"><a href="routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec">capacity</a></div><div class="ttdeci">int64_t capacity</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00151">routing_flow.cc:151</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_a64e7efc5529154ba56903e75f5300990"><div class="ttname"><a href="routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990">tail</a></div><div class="ttdeci">int64_t tail</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00149">routing_flow.cc:149</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_afca32f65388659a4b0956496169488b4"><div class="ttname"><a href="routing__flow_8cc.html#afca32f65388659a4b0956496169488b4">head</a></div><div class="ttdeci">int64_t head</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00150">routing_flow.cc:150</a></div></div>
<div class="ttc" id="asaturated__arithmetic_8h_html"><div class="ttname"><a href="saturated__arithmetic_8h.html">saturated_arithmetic.h</a></div></div>
<div class="ttc" id="asparse__submatrix_8cc_html_a9b7656b922ea4ec96097d7380c0e61fe"><div class="ttname"><a href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a></div><div class="ttdeci">int64_t start</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00035">sparse_submatrix.cc:35</a></div></div>
<div class="ttc" id="astatus_8h_html"><div class="ttname"><a href="status_8h.html">status.h</a></div></div>
<div class="ttc" id="astl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
<div class="ttc" id="astrong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
<div class="ttc" id="astrongly__connected__components_8h_html"><div class="ttname"><a href="strongly__connected__components_8h.html">strongly_connected_components.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_basis_state_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_basis_state.html">operations_research::glop::BasisState</a></div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00035">variables_info.h:35</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_cut_generator_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_cut_generator.html">operations_research::sat::CutGenerator</a></div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00042">cuts.h:42</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_cut_generator_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_cut_generator.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::CutGenerator::vars</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00043">cuts.h:43</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_cut_generator_html_a79779673f2fe909d104c37f3b7cc5a48"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_cut_generator.html#a79779673f2fe909d104c37f3b7cc5a48">operations_research::sat::CutGenerator::generate_cuts</a></div><div class="ttdeci">std::function&lt; bool(const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_values, LinearConstraintManager *manager)&gt; generate_cuts</div><div class="ttdef"><b>Definition:</b> <a href="cuts_8h_source.html#l00047">cuts.h:47</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html">operations_research::sat::IntegerLiteral</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00168">integer.h:168</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_a3e2eb445631727dd4abf1d5343f16b2f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">operations_research::sat::IntegerLiteral::LowerOrEqual</a></div><div class="ttdeci">static IntegerLiteral LowerOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01383">integer.h:1383</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_a6c233aafac25ea66d69de93a83c9be63"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">operations_research::sat::IntegerLiteral::GreaterOrEqual</a></div><div class="ttdeci">static IntegerLiteral GreaterOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01377">integer.h:1377</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html">operations_research::sat::LinearConstraint</a></div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00033">sat/linear_constraint.h:33</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a0ee34e5c6fbf075def1a6c2f0c42d040"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">operations_research::sat::LinearConstraint::lb</a></div><div class="ttdeci">IntegerValue lb</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00034">sat/linear_constraint.h:34</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearConstraint::coeffs</a></div><div class="ttdeci">std::vector&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00037">sat/linear_constraint.h:37</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">operations_research::sat::LinearConstraint::ub</a></div><div class="ttdeci">IntegerValue ub</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00035">sat/linear_constraint.h:35</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearConstraint::vars</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00036">sat/linear_constraint.h:36</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_programming_constraint_lp_solution_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_programming_constraint_lp_solution.html">operations_research::sat::LinearProgrammingConstraintLpSolution</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__programming__constraint_8h_source.html#l00052">linear_programming_constraint.h:53</a></div></div>
<div class="ttc" id="avariable__and__expressions_8cc_html_a2091cd7d80fdd31762020bce86138587"><div class="ttname"><a href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a></div><div class="ttdeci">const double coeff</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00104">variable_and_expressions.cc:104</a></div></div>
<div class="ttc" id="avlog__is__on_8h_html_a956152cad330225654d128f35c00efce"><div class="ttname"><a href="vlog__is__on_8h.html#a956152cad330225654d128f35c00efce">VLOG_IS_ON</a></div><div class="ttdeci">#define VLOG_IS_ON(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="vlog__is__on_8h_source.html#l00044">vlog_is_on.h:44</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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