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<div class="title">integer_expr.cc</div> </div>
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<a href="integer__expr_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2018 Google LLC</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integer__expr_8h.html">ortools/sat/integer_expr.h</a>&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;memory&gt;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;absl/memory/memory.h&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<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 name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sorted__interval__list_8h.html">ortools/util/sorted_interval_list.h</a>&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="time__limit_8h.html">ortools/util/time_limit.h</a>&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">namespace </span>sat {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#aec1aae1092c281971431aac37d923b60"> 30</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#aec1aae1092c281971431aac37d923b60">IntegerSumLE::IntegerSumLE</a>(<span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcement_literals,</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; coeffs,</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; IntegerValue upper, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; : enforcement_literals_(enforcement_literals),</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; upper_bound_(upper),</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&gt;()),</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; integer_trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()),</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; time_limit_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>&gt;()),</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; rev_integer_value_repository_(</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html">RevIntegerValueRepository</a>&gt;()),</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>(vars),</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; coeffs_(coeffs) {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="comment">// TODO(user): deal with this corner case.</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!vars_.empty());</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; max_variations_.resize(vars_.size());</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="comment">// Handle negative coefficients.</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; vars.size(); ++i) {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keywordflow">if</span> (coeffs_[i] &lt; 0) {</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; vars_[i] = <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars_[i]);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; coeffs_[i] = -coeffs_[i];</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; }</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="comment">// Literal reason will only be used with the negation of enforcement_literals.</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcement_literals) {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; literal_reason_.push_back(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Negated());</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="comment">// Initialize the reversible numbers.</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; rev_num_fixed_vars_ = 0;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; rev_lb_fixed_vars_ = IntegerValue(0);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;}</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="keywordtype">void</span> IntegerSumLE::FillIntegerReason() {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; integer_reason_.clear();</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; reason_coeffs_.clear();</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = vars_.size();</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars_[i];</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4c7a44c63bb5d0d0401c9951db2daaa">VariableLowerBoundIsFromLevelZero</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; integer_reason_.push_back(integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; reason_coeffs_.push_back(coeffs_[i]);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; }</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;}</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; </div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 78</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#ac1fe9b1f2b978c4283e42f12e586eb1e">IntegerSumLE::Propagate</a>() {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// Reified case: If any of the enforcement_literals are false, we ignore the</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">// constraint.</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordtype">int</span> num_unassigned_enforcement_literal = 0;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; LiteralIndex unique_unnasigned_literal = <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcement_literals_) {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordflow">if</span> (trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">LiteralIsFalse</a>(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>)) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">if</span> (!trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">LiteralIsTrue</a>(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>)) {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; ++num_unassigned_enforcement_literal;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; unique_unnasigned_literal = <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index();</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="comment">// Unfortunately, we can&#39;t propagate anything if we have more than one</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="comment">// unassigned enforcement literal.</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keywordflow">if</span> (num_unassigned_enforcement_literal &gt; 1) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="comment">// Save the current sum of fixed variables.</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="keywordflow">if</span> (is_registered_) {</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; rev_integer_value_repository_-&gt;<a class="code" href="classoperations__research_1_1_rev_repository.html#a32476d1fb09b1e06181ee07d30378b02">SaveState</a>(&amp;rev_lb_fixed_vars_);</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; rev_num_fixed_vars_ = 0;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; rev_lb_fixed_vars_ = 0;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; }</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="comment">// Compute the new lower bound and update the reversible structures.</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; IntegerValue lb_unfixed_vars = IntegerValue(0);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = vars_.size();</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = rev_num_fixed_vars_; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars_[i];</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keyword">const</span> IntegerValue coeff = coeffs_[i];</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">if</span> (lb != ub) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; max_variations_[i] = (ub - lb) * coeff;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; lb_unfixed_vars += lb * coeff;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="comment">// Update the set of fixed variables.</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; std::swap(vars_[i], vars_[rev_num_fixed_vars_]);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; std::swap(coeffs_[i], coeffs_[rev_num_fixed_vars_]);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; std::swap(max_variations_[i], max_variations_[rev_num_fixed_vars_]);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; rev_num_fixed_vars_++;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; rev_lb_fixed_vars_ += lb * coeff;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; }</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; time_limit_-&gt;<a class="code" href="classoperations__research_1_1_time_limit.html#af90cfd1fc238433fc303ee28c5914eb9">AdvanceDeterministicTime</a>(</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(num_vars - rev_num_fixed_vars_) * 1e-9);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="comment">// Conflict?</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keyword">const</span> IntegerValue slack =</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; upper_bound_ - (rev_lb_fixed_vars_ + lb_unfixed_vars);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordflow">if</span> (slack &lt; 0) {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; FillIntegerReason();</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(-slack - 1, reason_coeffs_,</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; &amp;integer_reason_);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordflow">if</span> (num_unassigned_enforcement_literal == 1) {</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="comment">// Propagate the only non-true literal to false.</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> to_propagate = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(unique_unnasigned_literal).<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>();</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; std::vector&lt;Literal&gt; tmp = literal_reason_;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; tmp.erase(std::find(tmp.begin(), tmp.end(), to_propagate));</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a79322fd8dff49ab2eab22c0570aba594">EnqueueLiteral</a>(to_propagate, tmp, integer_reason_);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keywordflow">return</span> integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>(literal_reason_, integer_reason_);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="comment">// We can only propagate more if all the enforcement literals are true.</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keywordflow">if</span> (num_unassigned_enforcement_literal &gt; 0) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="comment">// The lower bound of all the variables except one can be used to update the</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="comment">// upper bound of the last one.</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = rev_num_fixed_vars_; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keywordflow">if</span> (max_variations_[i] &lt;= slack) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars_[i];</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">const</span> IntegerValue coeff = coeffs_[i];</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keyword">const</span> IntegerValue div = slack / coeff;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keyword">const</span> IntegerValue new_ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) + div;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keyword">const</span> IntegerValue propagation_slack = (div + 1) * coeff - slack - 1;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, new_ub),</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="comment">/*lazy_reason=*/</span>[<span class="keyword">this</span>, propagation_slack](</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, <span class="keywordtype">int</span> trail_index,</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; std::vector&lt;Literal&gt;* literal_reason,</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; std::vector&lt;int&gt;* trail_indices_reason) {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; *literal_reason = literal_reason_;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; trail_indices_reason-&gt;clear();</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; reason_coeffs_.clear();</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; const int size = vars_.size();</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; for (int i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; const IntegerVariable var = vars_[i];</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; if (PositiveVariable(var) == PositiveVariable(i_lit.var)) {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; continue;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; }</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; const int index =</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; integer_trail_-&gt;FindTrailIndexOfVarBefore(var, trail_index);</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; if (index &gt;= 0) {</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; trail_indices_reason-&gt;push_back(index);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; if (propagation_slack &gt; 0) {</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; reason_coeffs_.push_back(coeffs_[i]);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; }</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; }</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; }</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <a class="code" href="parser_8yy_8cc.html#a33e91cd0cef6786e9e3a27ac67707207">if</a> (propagation_slack &gt; 0) {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; propagation_slack, reason_coeffs_, trail_indices_reason);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; }</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; })) {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; }</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; }</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;}</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; </div>
<div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a79ee9e362d647b6d65cf6d38e3df216d"> 194</a></span>&#160;<span class="keywordtype">bool</span> IntegerSumLE::PropagateAtLevelZero() {</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="comment">// TODO(user): Deal with enforcements. It is just a bit of code to read the</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="comment">// value of the literals at level zero.</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keywordflow">if</span> (!enforcement_literals_.empty()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="comment">// Compute the new lower bound and update the reversible structures.</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; IntegerValue min_activity = IntegerValue(0);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>.size();</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>[i];</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keyword">const</span> IntegerValue coeff = coeffs_[i];</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;LevelZeroUpperBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; max_variations_[i] = (ub - lb) * coeff;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; min_activity += lb * coeff;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; time_limit_-&gt;AdvanceDeterministicTime(<span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(num_vars * 1e-9));</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="comment">// Conflict?</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keyword">const</span> IntegerValue slack = upper_bound_ - min_activity;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="keywordflow">if</span> (slack &lt; 0) {</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <span class="keywordflow">return</span> integer_trail_-&gt;ReportConflict({}, {});</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; }</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; </div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="comment">// The lower bound of all the variables except one can be used to update the</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="comment">// upper bound of the last one.</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="keywordflow">if</span> (max_variations_[i] &lt;= slack) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>[i];</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="keyword">const</span> IntegerValue coeff = coeffs_[i];</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <span class="keyword">const</span> IntegerValue div = slack / coeff;</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="keyword">const</span> IntegerValue new_ub = integer_trail_-&gt;LevelZeroLowerBound(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) + div;</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;Enqueue(<a class="code" href="namespaceoperations__research_1_1sat.html#ad48b274dddb22fb445d5ab6edbf222df">IntegerLiteral::LowerOrEqual</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, new_ub), {},</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; {})) {</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; }</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;}</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; </div>
<div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736"> 236</a></span>&#160;<span class="keywordtype">void</span> IntegerSumLE::RegisterWith(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; is_registered_ = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable&amp; <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>) {</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; }</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcement_literals_) {</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <span class="comment">// We only watch the true direction.</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="comment">// TODO(user): if there is more than one, maybe we should watch more to</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="comment">// propagate a &quot;conflict&quot; as soon as only one is unassigned?</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">WatchLiteral</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>), <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; }</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8963fd33e7bd70e749b2a37060ef1274">RegisterReversibleInt</a>(<span class="keywordtype">id</span>, &amp;rev_num_fixed_vars_);</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;}</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; </div>
<div class="line"><a name="l00252"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ab7be565ae45c1e7171a1975d0055c422"> 252</a></span>&#160;LevelZeroEquality::LevelZeroEquality(IntegerVariable target,</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; coeffs,</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; : target_(target),</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>(vars),</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; coeffs_(coeffs),</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&gt;()),</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; integer_trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()) {</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="keyword">auto</span>* watcher = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;();</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; watcher-&gt;SetPropagatorPriority(<span class="keywordtype">id</span>, 2);</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; watcher-&gt;WatchIntegerVariable(target, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable&amp; <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars_) {</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; watcher-&gt;WatchIntegerVariable(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; }</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;}</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="comment">// TODO(user): We could go even further than just the GCD, and do more</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="comment">// arithmetic to tighten the target bounds. See for instance a problem like</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="comment">// ej.mps.gz that we don&#39;t solve easily, but has just 3 variables! the goal is</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="comment">// to minimize X, given 31013 X - 41014 Y - 51015 Z = -31013 (all &gt;=0, Y and Z</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<span class="comment">// bounded with high values). I know some MIP solvers have a basic linear</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="comment">// diophantine equation support.</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 276</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ac1fe9b1f2b978c4283e42f12e586eb1e">LevelZeroEquality::Propagate</a>() {</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="comment">// TODO(user): Once the GCD is not 1, we could at any level make sure the</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="comment">// objective is of the correct form. For now, this only happen in a few</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="comment">// miplib problem that we close quickly, so I didn&#39;t add the extra code yet.</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="keywordflow">if</span> (trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>() != 0) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> gcd = 0;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; IntegerValue sum(0);</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; vars_.size(); ++i) {</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <span class="keywordflow">if</span> (integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(vars_[i])) {</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; sum += coeffs_[i] * integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(vars_[i]);</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; }</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; gcd = <a class="code" href="classoperations__research_1_1_math_util.html#a02deedce87f0c011025ec7716b04e9ea">MathUtil::GCD64</a>(gcd, std::abs(coeffs_[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>()));</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="keywordflow">if</span> (gcd == 1) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; }</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <span class="keywordflow">if</span> (gcd == 0) <span class="keywordflow">return</span> <span class="keyword">true</span>; <span class="comment">// All fixed.</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; </div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="keywordflow">if</span> (gcd &gt; gcd_) {</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Objective gcd: &quot;</span> &lt;&lt; gcd;</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <a class="code" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(gcd, gcd_);</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; gcd_ = IntegerValue(gcd);</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(target_);</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; <span class="keyword">const</span> IntegerValue lb_remainder = <a class="code" href="namespaceoperations__research_1_1sat.html#a83f714c395df7a814ed067125f567a0d">PositiveRemainder</a>(lb - sum, gcd_);</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keywordflow">if</span> (lb_remainder != 0) {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(target_, lb + gcd_ - lb_remainder),</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; {}, {}))</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; }</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(target_);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="keyword">const</span> IntegerValue ub_remainder =</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a83f714c395df7a814ed067125f567a0d">PositiveRemainder</a>(ub - sum, IntegerValue(gcd));</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="keywordflow">if</span> (ub_remainder != 0) {</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(target_, ub - ub_remainder), {}, {}))</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; }</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;}</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; </div>
<div class="line"><a name="l00321"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_min_propagator.html#a7adb3d82f96ba9699d1e1e1b399134ec"> 321</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_min_propagator.html#a7adb3d82f96ba9699d1e1e1b399134ec">MinPropagator::MinPropagator</a>(<span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; IntegerVariable min_var,</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail)</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; : <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>(vars), min_var_(min_var), integer_trail_(integer_trail) {}</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; </div>
<div class="line"><a name="l00326"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 326</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">MinPropagator::Propagate</a>() {</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="keywordflow">if</span> (vars_.empty()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="comment">// Count the number of interval that are possible candidate for the min.</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <span class="comment">// Only the intervals for which lb &gt; current_min_ub cannot.</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> min_ub_literal =</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(min_var_);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="keyword">const</span> IntegerValue current_min_ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(min_var_);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="keywordtype">int</span> num_intervals_that_can_be_min = 0;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keywordtype">int</span> last_possible_min_interval = 0;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; </div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; IntegerValue <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; vars_.size(); ++i) {</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(vars_[i]);</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a> = <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(<a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a>, lb);</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; <span class="keywordflow">if</span> (lb &lt;= current_min_ub) {</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; ++num_intervals_that_can_be_min;</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; last_possible_min_interval = i;</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; }</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; }</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; <span class="comment">// Propagation a)</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a> &gt; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(min_var_)) {</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; integer_reason_.clear();</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars_) {</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; integer_reason_.push_back(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a>));</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; }</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(min_var_, <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a>),</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; {}, integer_reason_)) {</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; }</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; }</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; </div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; <span class="comment">// Propagation b)</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; <span class="keywordflow">if</span> (num_intervals_that_can_be_min == 1) {</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; <span class="keyword">const</span> IntegerValue ub_of_only_candidate =</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(vars_[last_possible_min_interval]);</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; <span class="keywordflow">if</span> (current_min_ub &lt; ub_of_only_candidate) {</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; integer_reason_.clear();</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; <span class="comment">// The reason is that all the other interval start after current_min_ub.</span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160; <span class="comment">// And that min_ub has its current value.</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; integer_reason_.push_back(min_ub_literal);</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars_) {</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>[last_possible_min_interval]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; integer_reason_.push_back(</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, current_min_ub + 1));</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; }</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>[last_possible_min_interval],</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; current_min_ub),</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; {}, integer_reason_)) {</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; }</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160; }</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; }</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; </div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <span class="comment">// Conflict.</span></div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="comment">// TODO(user): Not sure this code is useful since this will be detected</span></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="comment">// by the fact that the [lb, ub] of the min is empty. It depends on the</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="comment">// propagation order though, but probably the precedences propagator would</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; <span class="comment">// propagate before this one. So change this to a CHECK?</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; <span class="keywordflow">if</span> (num_intervals_that_can_be_min == 0) {</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; integer_reason_.clear();</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="comment">// Almost the same as propagation b).</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; integer_reason_.push_back(min_ub_literal);</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars_) {</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; integer_reason_.push_back(</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, current_min_ub + 1));</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160; }</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="keywordflow">return</span> integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>(integer_reason_);</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; }</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;}</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160; </div>
<div class="line"><a name="l00404"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 404</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">MinPropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable&amp; <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars_) {</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; }</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(min_var_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;}</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; </div>
<div class="line"><a name="l00412"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a3b562468ef8cc634a83e3ac7240a43da"> 412</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a3b562468ef8cc634a83e3ac7240a43da">LinMinPropagator::LinMinPropagator</a>(<span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; exprs,</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; IntegerVariable min_var, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; : exprs_(exprs),</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; min_var_(min_var),</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; model_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>),</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; integer_trail_(model_-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()) {}</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;<span class="keywordtype">bool</span> LinMinPropagator::PropagateLinearUpperBound(</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; coeffs, <span class="keyword">const</span> IntegerValue upper_bound) {</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; IntegerValue sum_lb = IntegerValue(0);</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = vars.size();</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160; std::vector&lt;IntegerValue&gt; max_variations;</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars[i];</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; <span class="keyword">const</span> IntegerValue coeff = coeffs[i];</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="comment">// The coefficients are assumed to be positive for this to work properly.</span></div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160; <a class="code" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(coeff, 0);</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; <span class="keyword">const</span> IntegerValue lb = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="keyword">const</span> IntegerValue ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; max_variations.push_back((ub - lb) * coeff);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; sum_lb += lb * coeff;</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; }</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; </div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; model_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">GetOrCreate</a>&lt;<a class="code" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>&gt;()-&gt;AdvanceDeterministicTime(</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(num_vars) * 1e-9);</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; </div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="keyword">const</span> IntegerValue slack = upper_bound - sum_lb;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; </div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; std::vector&lt;IntegerLiteral&gt; linear_sum_reason;</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; std::vector&lt;IntegerValue&gt; reason_coeffs;</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars[i];</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4c7a44c63bb5d0d0401c9951db2daaa">VariableLowerBoundIsFromLevelZero</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; linear_sum_reason.push_back(integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; reason_coeffs.push_back(coeffs[i]);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; }</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; }</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; <span class="keywordflow">if</span> (slack &lt; 0) {</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; <span class="comment">// Conflict.</span></div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(-slack - 1, reason_coeffs,</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; &amp;linear_sum_reason);</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; std::vector&lt;IntegerLiteral&gt; local_reason =</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; integer_reason_for_unique_candidate_;</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; local_reason.insert(local_reason.end(), linear_sum_reason.begin(),</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; linear_sum_reason.end());</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; <span class="keywordflow">return</span> integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>({}, local_reason);</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; }</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; </div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; <span class="comment">// The lower bound of all the variables except one can be used to update the</span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="comment">// upper bound of the last one.</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_vars; ++i) {</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <span class="keywordflow">if</span> (max_variations[i] &lt;= slack) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; </div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars[i];</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160; <span class="keyword">const</span> IntegerValue coeff = coeffs[i];</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; <span class="keyword">const</span> IntegerValue div = slack / coeff;</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160; <span class="keyword">const</span> IntegerValue new_ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) + div;</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; </div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160; <span class="keyword">const</span> IntegerValue propagation_slack = (div + 1) * coeff - slack - 1;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, new_ub),</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; <span class="comment">/*lazy_reason=*/</span>[<span class="keyword">this</span>, &amp;vars, &amp;coeffs, propagation_slack](</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; IntegerLiteral i_lit, <span class="keywordtype">int</span> trail_index,</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; std::vector&lt;Literal&gt;* literal_reason,</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; std::vector&lt;int&gt;* trail_indices_reason) {</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; literal_reason-&gt;clear();</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; trail_indices_reason-&gt;clear();</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; std::vector&lt;IntegerValue&gt; reason_coeffs;</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> size = vars.size();</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = vars[i];</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) == <a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(i_lit.var)) {</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; }</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> =</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a2df75a6456eaa2a1c2cc3255e4a91f29">FindTrailIndexOfVarBefore</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, trail_index);</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &gt;= 0) {</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; trail_indices_reason-&gt;push_back(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; <span class="keywordflow">if</span> (propagation_slack &gt; 0) {</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; reason_coeffs.push_back(coeffs[i]);</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; }</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; }</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; }</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; <span class="keywordflow">if</span> (propagation_slack &gt; 0) {</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; propagation_slack, reason_coeffs, trail_indices_reason);</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; }</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; <span class="comment">// Now add the old integer_reason that triggered this propatation.</span></div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; <span class="keywordflow">for</span> (IntegerLiteral reason_lit :</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; integer_reason_for_unique_candidate_) {</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a2df75a6456eaa2a1c2cc3255e4a91f29">FindTrailIndexOfVarBefore</a>(</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160; reason_lit.var, trail_index);</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &gt;= 0) {</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; trail_indices_reason-&gt;push_back(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; }</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; }</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; })) {</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; }</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; }</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160;}</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; </div>
<div class="line"><a name="l00516"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 516</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">LinMinPropagator::Propagate</a>() {</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; <span class="keywordflow">if</span> (exprs_.empty()) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; </div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; expr_lbs_.clear();</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; </div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <span class="comment">// Count the number of interval that are possible candidate for the min.</span></div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; <span class="comment">// Only the intervals for which lb &gt; current_min_ub cannot.</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> min_ub_literal =</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(min_var_);</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="keyword">const</span> IntegerValue current_min_ub = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(min_var_);</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; <span class="keywordtype">int</span> num_intervals_that_can_be_min = 0;</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="keywordtype">int</span> last_possible_min_interval = 0;</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; </div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; IntegerValue min_of_linear_expression_lb = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; exprs_.size(); ++i) {</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; <span class="keyword">const</span> IntegerValue lb = <a class="code" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(exprs_[i], *integer_trail_);</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160; expr_lbs_.push_back(lb);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; min_of_linear_expression_lb = <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(min_of_linear_expression_lb, lb);</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <span class="keywordflow">if</span> (lb &lt;= current_min_ub) {</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; ++num_intervals_that_can_be_min;</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; last_possible_min_interval = i;</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; }</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; }</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160; </div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160; <span class="comment">// Propagation a) lb(min) &gt;= lb(MIN(exprs)) = MIN(lb(exprs));</span></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; </div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="comment">// Conflict will be detected by the fact that the [lb, ub] of the min is</span></div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; <span class="comment">// empty. In case of conflict, we just need the reason for pushing UB + 1.</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="keywordflow">if</span> (min_of_linear_expression_lb &gt; current_min_ub) {</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; min_of_linear_expression_lb = current_min_ub + 1;</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; }</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; </div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <span class="comment">// Early experiments seems to show that the code if faster without relaxing</span></div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; <span class="comment">// the linear reason. But that might change in the future.</span></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="keyword">const</span> <span class="keywordtype">bool</span> use_slack = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <span class="keywordflow">if</span> (min_of_linear_expression_lb &gt; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(min_var_)) {</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; std::vector&lt;IntegerLiteral&gt; local_reason;</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; exprs_.size(); ++i) {</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="keyword">const</span> IntegerValue slack = expr_lbs_[i] - min_of_linear_expression_lb;</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa527950bda17efaeae8589c561d1b453">AppendRelaxedLinearReason</a>(</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; (use_slack ? slack : IntegerValue(0)), exprs_[i].coeffs,</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; exprs_[i].vars, &amp;local_reason);</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; }</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; min_var_, min_of_linear_expression_lb),</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; {}, local_reason)) {</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; }</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; }</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; </div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; <span class="comment">// Propagation b) ub(min) &gt;= ub(MIN(exprs)) and we can&#39;t propagate anything</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <span class="comment">// here unless there is just one possible expression &#39;e&#39; that can be the min:</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; <span class="comment">// for all u != e, lb(u) &gt; ub(min);</span></div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <span class="comment">// In this case, ub(min) &gt;= ub(e).</span></div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; <span class="keywordflow">if</span> (num_intervals_that_can_be_min == 1) {</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160; <span class="keyword">const</span> IntegerValue ub_of_only_candidate =</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(exprs_[last_possible_min_interval], *integer_trail_);</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; <span class="keywordflow">if</span> (current_min_ub &lt; ub_of_only_candidate) {</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; <span class="comment">// For this propagation, we only need to fill the integer reason once at</span></div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <span class="comment">// the lowest level. At higher levels this reason still remains valid.</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; <span class="keywordflow">if</span> (rev_unique_candidate_ == 0) {</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; integer_reason_for_unique_candidate_.clear();</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; </div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; <span class="comment">// The reason is that all the other interval start after current_min_ub.</span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; <span class="comment">// And that min_ub has its current value.</span></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; integer_reason_for_unique_candidate_.push_back(min_ub_literal);</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; exprs_.size(); ++i) {</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160; <span class="keywordflow">if</span> (i == last_possible_min_interval) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <span class="keyword">const</span> IntegerValue slack = expr_lbs_[i] - (current_min_ub + 1);</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa527950bda17efaeae8589c561d1b453">AppendRelaxedLinearReason</a>(</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; (use_slack ? slack : IntegerValue(0)), exprs_[i].coeffs,</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; exprs_[i].vars, &amp;integer_reason_for_unique_candidate_);</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; }</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; rev_unique_candidate_ = 1;</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; }</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; </div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160; <span class="keywordflow">return</span> PropagateLinearUpperBound(</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160; exprs_[last_possible_min_interval].vars,</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; exprs_[last_possible_min_interval].coeffs,</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; current_min_ub - exprs_[last_possible_min_interval].offset);</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; }</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; }</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; </div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160;}</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; </div>
<div class="line"><a name="l00602"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 602</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">LinMinPropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr : exprs_) {</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; expr.vars.size(); ++i) {</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <span class="keyword">const</span> IntegerVariable&amp; <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = expr.vars[i];</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; <span class="keyword">const</span> IntegerValue coeff = expr.coeffs[i];</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; <span class="keywordflow">if</span> (coeff &gt; 0) {</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; }</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; }</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; }</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(min_var_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8963fd33e7bd70e749b2a37060ef1274">RegisterReversibleInt</a>(<span class="keywordtype">id</span>, &amp;rev_unique_candidate_);</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160;}</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; </div>
<div class="line"><a name="l00619"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#adbf2b3395d8cc4ab48472296c82cdd2a"> 619</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#adbf2b3395d8cc4ab48472296c82cdd2a">PositiveProductPropagator::PositiveProductPropagator</a>(</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>, IntegerVariable p,</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail)</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; : a_(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>), b_(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>), p_(p), integer_trail_(integer_trail) {</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; <span class="comment">// Note that we assume this is true at level zero, and so we never include</span></div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; <span class="comment">// that fact in the reasons we compute.</span></div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; <a class="code" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(a_), 0);</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; <a class="code" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(b_), 0);</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160;}</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; </div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160;<span class="comment">// TODO(user): We can tighten the bounds on p by removing extreme value that</span></div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160;<span class="comment">// do not contains divisor in the domains of a or b. There is an algo in O(</span></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160;<span class="comment">// smallest domain size between a or b).</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 632</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">PositiveProductPropagator::Propagate</a>() {</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; <span class="keyword">const</span> IntegerValue max_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(a_);</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <span class="keyword">const</span> IntegerValue max_b = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(b_);</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; <span class="keyword">const</span> IntegerValue new_max(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(max_a.value(), max_b.value()));</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="keywordflow">if</span> (new_max &lt; integer_trail_-&gt;<a class="code" href="namespaceoperations__research_1_1sat.html#a950da19798dc78760bff02703c431692">UpperBound</a>(p_)) {</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(p_, new_max), {},</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160; {integer_trail_-&gt;UpperBoundAsLiteral(a_),</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; integer_trail_-&gt;UpperBoundAsLiteral(b_)})) {</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; }</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; }</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160; </div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; <span class="keyword">const</span> IntegerValue min_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(a_);</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160; <span class="keyword">const</span> IntegerValue min_b = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(b_);</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; <span class="keyword">const</span> IntegerValue new_min(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(min_a.value(), min_b.value()));</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160; <span class="keywordflow">if</span> (new_min &gt; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(p_)) {</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(p_, new_min),</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; {},</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; {integer_trail_-&gt;LowerBoundAsLiteral(a_),</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160; integer_trail_-&gt;LowerBoundAsLiteral(b_)})) {</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; }</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; }</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; </div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; 2; ++i) {</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a> = i == 0 ? a_ : b_;</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a> = i == 0 ? b_ : a_;</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <span class="keyword">const</span> IntegerValue max_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>);</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; <span class="keyword">const</span> IntegerValue min_b = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>);</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <span class="keyword">const</span> IntegerValue min_p = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(p_);</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; <span class="keyword">const</span> IntegerValue max_p = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(p_);</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; <span class="keyword">const</span> IntegerValue prod(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(max_a.value(), min_b.value()));</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160; <span class="keywordflow">if</span> (prod &gt; max_p) {</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(max_p, min_b)), {},</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; {integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>),</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(p_)})) {</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160; }</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (prod &lt; min_p) {</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(min_p, max_a)), {},</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; {integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>),</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(p_)})) {</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; }</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; }</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; }</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; </div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160;}</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; </div>
<div class="line"><a name="l00684"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 684</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">PositiveProductPropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(a_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(b_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(p_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aef66ce77e5b87afecf1c5696f44d4d1c">NotifyThatPropagatorMayNotReachFixedPointInOnePass</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160;}</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; </div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160;<span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; </div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160;<span class="comment">// TODO(user): Find better implementation?</span></div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160;IntegerValue FloorSquareRoot(IntegerValue <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) {</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160; IntegerValue result(<span class="keyword">static_cast&lt;</span><a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a><span class="keyword">&gt;</span>(std::floor(std::sqrt(<a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>)))));</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; <span class="keywordflow">while</span> (result * result &gt; <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) --result;</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160; <span class="keywordflow">while</span> ((result + 1) * (result + 1) &lt;= <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) ++result;</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160;}</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; </div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160;<span class="comment">// TODO(user): Find better implementation?</span></div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160;IntegerValue CeilSquareRoot(IntegerValue <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) {</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; IntegerValue result(<span class="keyword">static_cast&lt;</span><a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a><span class="keyword">&gt;</span>(std::ceil(std::sqrt(<a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>)))));</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="keywordflow">while</span> (result * result &lt; <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) ++result;</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; <span class="keywordflow">while</span> ((result - 1) * (result - 1) &gt;= <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>) --result;</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160;}</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; </div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160;} <span class="comment">// namespace</span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; </div>
<div class="line"><a name="l00712"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_square_propagator.html#afaa78d4a7bccd209720f1fa9741f59f0"> 712</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_square_propagator.html#afaa78d4a7bccd209720f1fa9741f59f0">SquarePropagator::SquarePropagator</a>(IntegerVariable x, IntegerVariable s,</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail)</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; : x_(x), s_(s), integer_trail_(integer_trail) {</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; <a class="code" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(x), 0);</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160;}</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160; </div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160;<span class="comment">// Propagation from x to s: s in [min_x * min_x, max_x * max_x].</span></div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160;<span class="comment">// Propagation from s to x: x in [ceil(sqrt(min_s)), floor(sqrt(max_s))].</span></div>
<div class="line"><a name="l00720"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_square_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 720</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_square_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">SquarePropagator::Propagate</a>() {</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; <span class="keyword">const</span> IntegerValue min_x = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(x_);</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; <span class="keyword">const</span> IntegerValue min_s = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(s_);</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160; <span class="keyword">const</span> IntegerValue min_x_square(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(min_x.value(), min_x.value()));</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; <span class="keywordflow">if</span> (min_x_square &gt; min_s) {</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(s_, min_x_square), {},</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; {IntegerLiteral::GreaterOrEqual(x_, min_x)})) {</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; }</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (min_x_square &lt; min_s) {</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160; <span class="keyword">const</span> IntegerValue new_min = CeilSquareRoot(min_s);</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(x_, new_min),</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; {},</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; {IntegerLiteral::GreaterOrEqual(</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; s_, (new_min - 1) * (new_min - 1) + 1)})) {</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; }</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; }</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160; </div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; <span class="keyword">const</span> IntegerValue max_x = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(x_);</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; <span class="keyword">const</span> IntegerValue max_s = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(s_);</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; <span class="keyword">const</span> IntegerValue max_x_square(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(max_x.value(), max_x.value()));</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; <span class="keywordflow">if</span> (max_x_square &lt; max_s) {</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(s_, max_x_square),</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160; {},</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; {IntegerLiteral::LowerOrEqual(x_, max_x)})) {</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160; }</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (max_x_square &gt; max_s) {</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; <span class="keyword">const</span> IntegerValue new_max = FloorSquareRoot(max_s);</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(x_, new_max), {},</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; {IntegerLiteral::LowerOrEqual(</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160; s_, (new_max + 1) * (new_max + 1) - 1)})) {</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; }</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; }</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160; </div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160;}</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; </div>
<div class="line"><a name="l00761"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_square_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 761</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_square_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">SquarePropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(x_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(s_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aef66ce77e5b87afecf1c5696f44d4d1c">NotifyThatPropagatorMayNotReachFixedPointInOnePass</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160;}</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; </div>
<div class="line"><a name="l00768"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_division_propagator.html#afb8f59711ca1ba3bdcd0bee9ef675d3c"> 768</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_division_propagator.html#afb8f59711ca1ba3bdcd0bee9ef675d3c">DivisionPropagator::DivisionPropagator</a>(IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>,</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; IntegerVariable c,</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail)</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; : a_(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>), b_(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>), c_(c), integer_trail_(integer_trail) {</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="comment">// TODO(user): support these cases.</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <a class="code" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>), 0);</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160; <a class="code" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>), 0); <span class="comment">// b can never be zero.</span></div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160;}</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160; </div>
<div class="line"><a name="l00777"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_division_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 777</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_division_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">DivisionPropagator::Propagate</a>() {</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160; <span class="keyword">const</span> IntegerValue min_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(a_);</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; <span class="keyword">const</span> IntegerValue max_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(a_);</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; <span class="keyword">const</span> IntegerValue min_b = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(b_);</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="keyword">const</span> IntegerValue max_b = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(b_);</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; IntegerValue min_c = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(c_);</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160; IntegerValue max_c = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(c_);</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160; </div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160; <span class="keywordflow">if</span> (max_a / min_b &lt; max_c) {</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160; max_c = max_a / min_b;</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(c_, max_c), {},</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; {integer_trail_-&gt;UpperBoundAsLiteral(a_),</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; integer_trail_-&gt;LowerBoundAsLiteral(b_)})) {</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160; }</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160; }</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160; <span class="keywordflow">if</span> (min_a / max_b &gt; min_c) {</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160; min_c = min_a / max_b;</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(c_, min_c), {},</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160; {integer_trail_-&gt;LowerBoundAsLiteral(a_),</div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160; integer_trail_-&gt;UpperBoundAsLiteral(b_)})) {</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; }</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; }</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160; </div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160; <span class="comment">// TODO(user): propagate the bounds on a and b from the ones of c.</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160; <span class="comment">// Note however that what we did is enough to enforce the constraint when</span></div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160; <span class="comment">// all the values are fixed.</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160;}</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160; </div>
<div class="line"><a name="l00808"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_division_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 808</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_division_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">DivisionPropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(a_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(b_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(c_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aef66ce77e5b87afecf1c5696f44d4d1c">NotifyThatPropagatorMayNotReachFixedPointInOnePass</a>(<span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160;}</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160; </div>
<div class="line"><a name="l00816"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#a4060aef77bca0c13ada3e5e5c3c5d1ef"> 816</a></span>&#160;<a class="code" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#a4060aef77bca0c13ada3e5e5c3c5d1ef">FixedDivisionPropagator::FixedDivisionPropagator</a>(IntegerVariable <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>,</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160; IntegerValue <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>,</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; IntegerVariable c,</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail)</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160; : a_(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>), b_(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>), c_(c), integer_trail_(integer_trail) {}</div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; </div>
<div class="line"><a name="l00822"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 822</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">FixedDivisionPropagator::Propagate</a>() {</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; <span class="keyword">const</span> IntegerValue min_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(a_);</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160; <span class="keyword">const</span> IntegerValue max_a = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(a_);</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160; IntegerValue min_c = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(c_);</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160; IntegerValue max_c = integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(c_);</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; </div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; <a class="code" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(b_, 0);</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160; </div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160; <span class="keywordflow">if</span> (max_a / b_ &lt; max_c) {</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160; max_c = max_a / b_;</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(c_, max_c), {},</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; {integer_trail_-&gt;UpperBoundAsLiteral(a_)})) {</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160; }</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (max_a / b_ &gt; max_c) {</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; <span class="keyword">const</span> IntegerValue new_max_a =</div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; max_c &gt;= 0 ? max_c * b_ + b_ - 1</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160; : IntegerValue(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(max_c.value(), b_.value()));</div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160; <a class="code" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(new_max_a, max_a);</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(a_, new_max_a),</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; {},</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160; {integer_trail_-&gt;UpperBoundAsLiteral(c_)})) {</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160; }</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; }</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160; </div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160; <span class="keywordflow">if</span> (min_a / b_ &gt; min_c) {</div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160; min_c = min_a / b_;</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(c_, min_c), {},</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160; {integer_trail_-&gt;LowerBoundAsLiteral(a_)})) {</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160; }</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (min_a / b_ &lt; min_c) {</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160; <span class="keyword">const</span> IntegerValue new_min_a =</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; min_c &gt; 0 ? IntegerValue(<a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(min_c.value(), b_.value()))</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; : min_c * b_ - b_ + 1;</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; <a class="code" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(new_min_a, min_a);</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; <span class="keywordflow">if</span> (!integer_trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(a_, new_min_a),</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160; {},</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160; {integer_trail_-&gt;LowerBoundAsLiteral(c_)})) {</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; }</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160; }</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160; </div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160;}</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; </div>
<div class="line"><a name="l00869"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 869</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">FixedDivisionPropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(a_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160; watcher-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(c_, <span class="keywordtype">id</span>);</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160;}</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; </div>
<div class="line"><a name="l00875"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a3b4ae0e8f4326c316681a472e623e5d6"> 875</a></span>&#160;std::function&lt;void(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a3b4ae0e8f4326c316681a472e623e5d6">IsOneOf</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; selectors,</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; values) {</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160; <span class="keywordflow">return</span> [=](<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160; </div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!values.empty());</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(values.size(), selectors.size());</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160; std::vector&lt;int64&gt; unique_values;</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; absl::flat_hash_map&lt;int64, std::vector&lt;Literal&gt;&gt; value_to_selector;</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; values.size(); ++i) {</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160; unique_values.push_back(values[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>());</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; value_to_selector[values[i].value()].push_back(selectors[i]);</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160; }</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&amp;unique_values);</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160; </div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160; integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af931801f592e954a6623cab8cf9a4485">UpdateInitialDomain</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code" href="classoperations__research_1_1_domain.html#a323893786ccc452af69697e1c8564ed3">Domain::FromValues</a>(unique_values));</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="keywordflow">if</span> (unique_values.size() == 1) {</div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(selectors));</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; }</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; </div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160; <span class="comment">// Note that it is more efficient to call AssociateToIntegerEqualValue()</span></div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160; <span class="comment">// with the values ordered, like we do here.</span></div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> v : unique_values) {</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; selectors = value_to_selector[v];</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160; <span class="keywordflow">if</span> (selectors.size() == 1) {</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160; encoder-&gt;AssociateToIntegerEqualValue(selectors[0], <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160; IntegerValue(v));</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#affc20db163dca7cacfb4aa97cf8d72b9">ReifiedBoolOr</a>(selectors, l));</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160; encoder-&gt;AssociateToIntegerEqualValue(l, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(v));</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160; }</div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160; }</div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160; };</div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160;}</div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; </div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160;} <span class="comment">// namespace sat</span></div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160;} <span class="comment">// namespace operations_research</span></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<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#l01858">expr_array.cc:1858</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#l01910">integer.cc:1910</a></div></div>
<div class="ttc" id="aparser_8yy_8cc_html_a33e91cd0cef6786e9e3a27ac67707207"><div class="ttname"><a href="parser_8yy_8cc.html#a33e91cd0cef6786e9e3a27ac67707207">if</a></div><div class="ttdeci">if(!yyg-&gt;yy_init)</div><div class="ttdef"><b>Definition:</b> <a href="parser_8yy_8cc_source.html#l00965">parser.yy.cc:965</a></div></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a021e695f54a13bd809c34b2f4ca87c37"><div class="ttname"><a href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a></div><div class="ttdeci">int64 min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00138">alldiff_cst.cc:138</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#l00533">integer.h:533</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#l00978">base/logging.h:978</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_fixed_division_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::FixedDivisionPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00869">integer_expr.cc:869</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#l00090">integer.h:90</a></div></div>
<div class="ttc" id="atime__limit_8h_html"><div class="ttname"><a href="time__limit_8h.html">time_limit.h</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_aaede7c755aad90772efda6db087f3413"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">operations_research::sat::GenericLiteralWatcher::WatchLowerBound</a></div><div class="ttdeci">void WatchLowerBound(IntegerVariable var, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01356">integer.h:1356</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_ab216763dccd16f5060d2fbcfb08173fb"><div class="ttname"><a href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">operations_research::CapProd</a></div><div class="ttdeci">int64 CapProd(int64 x, int64 y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00231">saturated_arithmetic.h:231</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2dbcb7017d468a17bdb30252af5c6c31"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">operations_research::sat::kNoLiteralIndex</a></div><div class="ttdeci">const LiteralIndex kNoLiteralIndex(-1)</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a29b96869d2a821cf1d2e6099e7a0f51b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">operations_research::sat::CeilRatio</a></div><div class="ttdeci">IntegerValue CeilRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00081">integer.h:81</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_affc20db163dca7cacfb4aa97cf8d72b9"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#affc20db163dca7cacfb4aa97cf8d72b9">operations_research::sat::ReifiedBoolOr</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ReifiedBoolOr(const std::vector&lt; Literal &gt; &amp;literals, Literal r)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00935">sat_solver.h:935</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#l01333">integer.h:1333</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_positive_product_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::PositiveProductPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00632">integer_expr.cc:632</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#l00701">base/logging.h:701</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa4c7a44c63bb5d0d0401c9951db2daaa"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4c7a44c63bb5d0d0401c9951db2daaa">operations_research::sat::IntegerTrail::VariableLowerBoundIsFromLevelZero</a></div><div class="ttdeci">bool VariableLowerBoundIsFromLevelZero(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00810">integer.h:810</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#l01954">integer.cc:1954</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
<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#l00702">base/logging.h:702</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_domain_html_a323893786ccc452af69697e1c8564ed3"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a323893786ccc452af69697e1c8564ed3">operations_research::Domain::FromValues</a></div><div class="ttdeci">static Domain FromValues(std::vector&lt; int64 &gt; values)</div><div class="ttdoc">Creates a domain from the union of an unsorted list of integer values.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00137">sorted_interval_list.cc:137</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_square_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_square_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::SquarePropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00720">integer_expr.cc:720</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad8620567e3849359ab6deda5f97aef91"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">operations_research::sat::LinExprUpperBound</a></div><div class="ttdeci">IntegerValue LinExprUpperBound(const LinearExpression &amp;expr, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00302">linear_constraint.cc:302</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#l00700">base/logging.h:700</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">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_math_util_html_a02deedce87f0c011025ec7716b04e9ea"><div class="ttname"><a href="classoperations__research_1_1_math_util.html#a02deedce87f0c011025ec7716b04e9ea">operations_research::MathUtil::GCD64</a></div><div class="ttdeci">static int64 GCD64(int64 x, int64 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_1sat_1_1_integer_trail_html_a79322fd8dff49ab2eab22c0570aba594"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a79322fd8dff49ab2eab22c0570aba594">operations_research::sat::IntegerTrail::EnqueueLiteral</a></div><div class="ttdeci">void EnqueueLiteral(Literal literal, 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#l01058">integer.cc:1058</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#l00027">integer.cc:27</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_fixed_division_propagator_html_a4060aef77bca0c13ada3e5e5c3c5d1ef"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#a4060aef77bca0c13ada3e5e5c3c5d1ef">operations_research::sat::FixedDivisionPropagator::FixedDivisionPropagator</a></div><div class="ttdeci">FixedDivisionPropagator(IntegerVariable a, IntegerValue b, IntegerVariable c, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00816">integer_expr.cc:816</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_variables_assignment_html_a5300129913f51dcb0b1c531e3248490e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">operations_research::sat::VariablesAssignment::LiteralIsTrue</a></div><div class="ttdeci">bool LiteralIsTrue(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00150">sat_base.h:150</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#l01247">integer.h:1247</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_division_propagator_html_afb8f59711ca1ba3bdcd0bee9ef675d3c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_division_propagator.html#afb8f59711ca1ba3bdcd0bee9ef675d3c">operations_research::sat::DivisionPropagator::DivisionPropagator</a></div><div class="ttdeci">DivisionPropagator(IntegerVariable a, IntegerVariable b, IntegerVariable c, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00768">integer_expr.cc:768</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#l00134">integer.h:134</a></div></div>
<div class="ttc" id="aintegral__types_8h_html_a7cde0074dfd288f2d70c0e035dacb28a"><div class="ttname"><a href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a></div><div class="ttdeci">int64_t int64</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00034">integral_types.h:34</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00091">sat_base.h:91</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#l00105">time_limit.h:105</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#l00508">pack.cc:508</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_af931801f592e954a6623cab8cf9a4485"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#af931801f592e954a6623cab8cf9a4485">operations_research::sat::IntegerTrail::UpdateInitialDomain</a></div><div class="ttdeci">bool UpdateInitialDomain(IntegerVariable var, Domain domain)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00648">integer.cc:648</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#l01091">integer.h:1091</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a83f714c395df7a814ed067125f567a0d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a83f714c395df7a814ed067125f567a0d">operations_research::sat::PositiveRemainder</a></div><div class="ttdeci">IntegerValue PositiveRemainder(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00102">integer.h:102</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_af730895c6c6ef6e03caaf6251192dfd2"><div class="ttname"><a href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a></div><div class="ttdeci">int64 a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00042">constraint_solver/table.cc:42</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_level_zero_equality_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::LevelZeroEquality::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00276">integer_expr.cc:276</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#l01318">integer.h:1318</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa527950bda17efaeae8589c561d1b453"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa527950bda17efaeae8589c561d1b453">operations_research::sat::IntegerTrail::AppendRelaxedLinearReason</a></div><div class="ttdeci">void AppendRelaxedLinearReason(IntegerValue slack, absl::Span&lt; const IntegerValue &gt; coeffs, absl::Span&lt; const IntegerVariable &gt; vars, std::vector&lt; IntegerLiteral &gt; *reason) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00807">integer.cc:807</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a38766514ce4824ae1e093a25d7fb43b3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">operations_research::sat::NewBooleanVariable</a></div><div class="ttdeci">std::function&lt; BooleanVariable(Model *)&gt; NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01395">integer.h:1395</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#l01287">integer.h:1287</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#l00989">integer.cc:989</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_division_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_division_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::DivisionPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00777">integer_expr.cc:777</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_min_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::MinPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00404">integer_expr.cc:404</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_positive_product_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::PositiveProductPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00684">integer_expr.cc:684</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_aef66ce77e5b87afecf1c5696f44d4d1c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aef66ce77e5b87afecf1c5696f44d4d1c">operations_research::sat::GenericLiteralWatcher::NotifyThatPropagatorMayNotReachFixedPointInOnePass</a></div><div class="ttdeci">void NotifyThatPropagatorMayNotReachFixedPointInOnePass(int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01940">integer.cc:1940</a></div></div>
<div class="ttc" id="anamespacegtl_html_a288a1dc92da5d3ad62d4bc4cec9e8b1d"><div class="ttname"><a href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a></div><div class="ttdeci">void STLSortAndRemoveDuplicates(T *v, const LessFunc &amp;less_func)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00058">stl_util.h:58</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3b4ae0e8f4326c316681a472e623e5d6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3b4ae0e8f4326c316681a472e623e5d6">operations_research::sat::IsOneOf</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; IsOneOf(IntegerVariable var, const std::vector&lt; Literal &gt; &amp;selectors, const std::vector&lt; IntegerValue &gt; &amp;values)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00875">integer_expr.cc:875</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="ainteger__expr_8h_html"><div class="ttname"><a href="integer__expr_8h.html">integer_expr.h</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_a9789bf03dba611e9be5679d6e902d0c8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">operations_research::sat::Trail::Assignment</a></div><div class="ttdeci">const VariablesAssignment &amp; Assignment() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00380">sat_base.h:380</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_lin_min_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::LinMinPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00602">integer_expr.cc:602</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_division_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_division_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::DivisionPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00808">integer_expr.cc:808</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#l00697">base/logging.h:697</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html">operations_research::sat::LinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8h_source.html#l00173">linear_constraint.h:173</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_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#l01313">integer.h:1313</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#l00153">integer.h:153</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad48b274dddb22fb445d5ab6edbf222df"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad48b274dddb22fb445d5ab6edbf222df">operations_research::sat::LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; LowerOrEqual(IntegerVariable v, int64 ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01492">integer.h:1492</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_min_propagator_html_a7adb3d82f96ba9699d1e1e1b399134ec"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_min_propagator.html#a7adb3d82f96ba9699d1e1e1b399134ec">operations_research::sat::MinPropagator::MinPropagator</a></div><div class="ttdeci">MinPropagator(const std::vector&lt; IntegerVariable &gt; &amp;vars, IntegerVariable min_var, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00321">integer_expr.cc:321</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_lin_min_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::LinMinPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00516">integer_expr.cc:516</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#l01380">integer.h:1380</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a14ed349a41e2b31bb1c15ea3c44a6bc0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">operations_research::sat::LinExprLowerBound</a></div><div class="ttdeci">IntegerValue LinExprLowerBound(const LinearExpression &amp;expr, const IntegerTrail &amp;integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="linear__constraint_8cc_source.html#l00292">linear_constraint.cc:292</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#l01253">integer.h:1253</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_fixed_division_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::FixedDivisionPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00822">integer_expr.cc:822</a></div></div>
<div class="ttc" id="asorted__interval__list_8h_html"><div class="ttname"><a href="sorted__interval__list_8h.html">sorted_interval_list.h</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html_a8d72645353ea6770911c4e0724995ed6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html#a8d72645353ea6770911c4e0724995ed6">operations_research::sat::Model::GetOrCreate</a></div><div class="ttdeci">T * GetOrCreate()</div><div class="ttdoc">Returns an object of type T that is unique to this model (like a &quot;local&quot; singleton).</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00106">sat/model.h:106</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1655a9b9673e7c4de940ca6e5e3cf936"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">operations_research::sat::ClauseConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ClauseConstraint(absl::Span&lt; const Literal &gt; literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00905">sat_solver.h:905</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295"><div class="ttname"><a href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a></div><div class="ttdeci">#define DCHECK_GE(val1, val2)</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="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#l00269">gurobi_interface.cc:269</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_time_limit_html_af90cfd1fc238433fc303ee28c5914eb9"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html#af90cfd1fc238433fc303ee28c5914eb9">operations_research::TimeLimit::AdvanceDeterministicTime</a></div><div class="ttdeci">void AdvanceDeterministicTime(double deterministic_duration)</div><div class="ttdoc">Advances the deterministic time.</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00226">time_limit.h:226</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#l00355">sat_base.h:355</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00064">sat_base.h:64</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_rev_integer_value_repository_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html">operations_research::sat::RevIntegerValueRepository</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01080">integer.h:1080</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#l00069">integer.h:69</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_positive_product_propagator_html_adbf2b3395d8cc4ab48472296c82cdd2a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_positive_product_propagator.html#adbf2b3395d8cc4ab48472296c82cdd2a">operations_research::sat::PositiveProductPropagator::PositiveProductPropagator</a></div><div class="ttdeci">PositiveProductPropagator(IntegerVariable a, IntegerVariable b, IntegerVariable p, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00619">integer_expr.cc:619</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_min_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::MinPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00326">integer_expr.cc:326</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_a8f6dd74a841475ccb390614d2b212170"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">operations_research::sat::GenericLiteralWatcher::WatchLiteral</a></div><div class="ttdeci">void WatchLiteral(Literal l, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01348">integer.h:1348</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#l00793">integer.h:793</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="aalldiff__cst_8cc_html_a151248525a9e07eb3e6e60ea1c4995eb"><div class="ttname"><a href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a></div><div class="ttdeci">const std::vector&lt; IntVar * &gt; vars_</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00043">alldiff_cst.cc:43</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html_aec1aae1092c281971431aac37d923b60"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#aec1aae1092c281971431aac37d923b60">operations_research::sat::IntegerSumLE::IntegerSumLE</a></div><div class="ttdeci">IntegerSumLE(const std::vector&lt; Literal &gt; &amp;enforcement_literals, const std::vector&lt; IntegerVariable &gt; &amp;vars, const std::vector&lt; IntegerValue &gt; &amp;coeffs, IntegerValue upper_bound, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00030">integer_expr.cc:30</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#l00785">integer.cc:785</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a950da19798dc78760bff02703c431692"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a950da19798dc78760bff02703c431692">operations_research::sat::UpperBound</a></div><div class="ttdeci">std::function&lt; int64(const Model &amp;)&gt; UpperBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01456">integer.h:1456</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_square_propagator_html_afaa78d4a7bccd209720f1fa9741f59f0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_square_propagator.html#afaa78d4a7bccd209720f1fa9741f59f0">operations_research::sat::SquarePropagator::SquarePropagator</a></div><div class="ttdeci">SquarePropagator(IntegerVariable x, IntegerVariable s, IntegerTrail *integer_trail)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00712">integer_expr.cc:712</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a2df75a6456eaa2a1c2cc3255e4a91f29"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a2df75a6456eaa2a1c2cc3255e4a91f29">operations_research::sat::IntegerTrail::FindTrailIndexOfVarBefore</a></div><div class="ttdeci">int FindTrailIndexOfVarBefore(IntegerVariable var, int threshold) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00716">integer.cc:716</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#l01291">integer.h:1291</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_a344010e26426d6a13411648d988bc9b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a></div><div class="ttdeci">int64 b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00043">constraint_solver/table.cc:43</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::IntegerSumLE::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00078">integer_expr.cc:78</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#l01283">integer.h:1283</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_square_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_square_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::SquarePropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00761">integer_expr.cc:761</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_lin_min_propagator_html_a3b562468ef8cc634a83e3ac7240a43da"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a3b562468ef8cc634a83e3ac7240a43da">operations_research::sat::LinMinPropagator::LinMinPropagator</a></div><div class="ttdeci">LinMinPropagator(const std::vector&lt; LinearExpression &gt; &amp;exprs, IntegerVariable min_var, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00412">integer_expr.cc:412</a></div></div>
<div class="ttc" id="aoptimization_8cc_html_af63dcc00f2023fdf498e0829e6fb8a6b"><div class="ttname"><a href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a></div><div class="ttdeci">Literal literal</div><div class="ttdef"><b>Definition:</b> <a href="optimization_8cc_source.html#l00084">optimization.cc:84</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="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="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#l00276">integer.h:276</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="aclassoperations__research_1_1sat_1_1_variables_assignment_html_acfd1646011e643f58fd7dc66d9cc90a5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">operations_research::sat::VariablesAssignment::LiteralIsFalse</a></div><div class="ttdeci">bool LiteralIsFalse(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00147">sat_base.h:147</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#l01374">integer.h:1374</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#l00233">sat_base.h:233</a></div></div>
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