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<div class="headertitle"><div class="title">integer_expr.h</div></div>
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<a href="integer__expr_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_INTEGER_EXPR_H_</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_SAT_INTEGER_EXPR_H_</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;functional&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;<a class="code" href="int__type_8h.html">ortools/base/int_type.h</a>&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;<a class="code" href="macros_8h.html">ortools/base/macros.h</a>&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &quot;<a class="code" href="mathutil_8h.html">ortools/base/mathutil.h</a>&quot;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2linear__constraint_8h.html">ortools/sat/linear_constraint.h</a>&quot;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>&quot;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &quot;<a class="code" href="precedences_8h.html">ortools/sat/precedences.h</a>&quot;</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &quot;<a class="code" href="sat__solver_8h.html">ortools/sat/sat_solver.h</a>&quot;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include &quot;<a class="code" href="rev_8h.html">ortools/util/rev.h</a>&quot;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">// A really basic implementation of an upper-bounded sum of integer variables.</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// The complexity is in O(num_variables) at each propagation.</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">//</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// Note that we assume that there can be NO integer overflow. This must be</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">// checked at model validation time before this is even created.</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">//</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">// TODO(user): If one has many such constraint, it will be more efficient to</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">// propagate all of them at once rather than doing it one at the time.</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">//</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">// TODO(user): Explore tree structure to get a log(n) complexity.</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">//</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">// TODO(user): When the variables are Boolean, use directly the pseudo-Boolean</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">// constraint implementation. But we do need support for enforcement literals</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// there.</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html"> 51</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// If refied_literal is kNoLiteralIndex then this is a normal constraint,</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// otherwise we enforce the implication refied_literal =&gt; constraint is true.</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// Note that we don&#39;t do the reverse implication here, it is usually done by</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// another IntegerSumLE constraint on the negated variables.</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#aec1aae1092c281971431aac37d923b60">IntegerSumLE</a>(<span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcement_literals,</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; coeffs,</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// We propagate:</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// - If the sum of the individual lower-bound is &gt; upper_bound, we fail.</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// - For all i, upper-bound of i</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// &lt;= upper_bound - Sum {individual lower-bound excluding i).</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// Same as Propagate() but only consider current root level bounds. This is</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// mainly useful for the LP propagator since it can find relevant optimal</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// really late in the search tree.</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a79ee9e362d647b6d65cf6d38e3df216d">PropagateAtLevelZero</a>();</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// This is a pretty usage specific function. Returns the implied lower bound</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// on target_var if the given integer literal is false (resp. true). If the</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// variables do not appear both in the linear inequality, this returns two</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// kMinIntegerValue.</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> std::pair&lt;IntegerValue, IntegerValue&gt; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a83404baa3e4ce3beaefa9a662f627655">ConditionalLb</a>(</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> integer_literal, IntegerVariable target_var) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// Fills integer_reason_ with all the current lower_bounds. The real</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// explanation may require removing one of them, but as an optimization, we</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// always keep all the IntegerLiteral in integer_reason_, and swap them as</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// needed just before pushing something.</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">void</span> FillIntegerReason();</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">const</span> std::vector&lt;Literal&gt; enforcement_literals_;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">const</span> IntegerValue upper_bound_;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail_;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <a class="code hl_class" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>* time_limit_;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html">RevIntegerValueRepository</a>* rev_integer_value_repository_;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// Reversible sum of the lower bound of the fixed variables.</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordtype">bool</span> is_registered_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> IntegerValue rev_lb_fixed_vars_;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// Reversible number of fixed variables.</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordtype">int</span> rev_num_fixed_vars_;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// Those vectors are shuffled during search to ensure that the variables</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// (resp. coefficients) contained in the range [0, rev_num_fixed_vars_) of</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// vars_ (resp. coeffs_) are fixed (resp. belong to fixed variables).</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> std::vector&lt;IntegerVariable&gt; vars_;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> std::vector&lt;IntegerValue&gt; coeffs_;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> std::vector&lt;IntegerValue&gt; max_variations_;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> std::vector&lt;Literal&gt; literal_reason_;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Parallel vectors.</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> std::vector&lt;IntegerLiteral&gt; integer_reason_;</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> std::vector&lt;IntegerValue&gt; reason_coeffs_;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>};</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment">// This assumes target = SUM_i coeffs[i] * vars[i], and detects that the target</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment">// must be of the form (a*X + b).</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span><span class="comment">//</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span><span class="comment">// This propagator is quite specific and runs only at level zero. For now, this</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span><span class="comment">// is mainly used for the objective variable. As we fix terms with high</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="comment">// objective coefficient, it is possible the only terms left have a common</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span><span class="comment">// divisor. This close app2-2.mps in less than a second instead of running</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="comment">// forever to prove the optimal (in single thread).</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_level_zero_equality.html"> 127</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_level_zero_equality.html">LevelZeroEquality</a> : <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ab7be565ae45c1e7171a1975d0055c422">LevelZeroEquality</a>(IntegerVariable target,</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; coeffs, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">const</span> IntegerVariable target_;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt; vars_;</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">const</span> std::vector&lt;IntegerValue&gt; coeffs_;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> IntegerValue gcd_ = IntegerValue(1);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail_;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>};</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment">// A min (resp max) constraint of the form min == MIN(vars) can be decomposed</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="comment">// into two inequalities:</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span><span class="comment">// 1/ min &lt;= MIN(vars), which is the same as for all v in vars, &quot;min &lt;= v&quot;.</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span><span class="comment">// This can be taken care of by the LowerOrEqual(min, v) constraint.</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="comment">// 2/ min &gt;= MIN(vars).</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="comment">//</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="comment">// And in turn, 2/ can be decomposed in:</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span><span class="comment">// a) lb(min) &gt;= lb(MIN(vars)) = MIN(lb(var));</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment">// b) ub(min) &gt;= ub(MIN(vars)) and we can&#39;t propagate anything here unless</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="comment">// there is just one possible variable &#39;v&#39; that can be the min:</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span><span class="comment">// for all u != v, lb(u) &gt; ub(min);</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span><span class="comment">// In this case, ub(min) &gt;= ub(v).</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span><span class="comment">//</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span><span class="comment">// This constraint take care of a) and b). That is:</span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="comment">// - If the min of the lower bound of the vars increase, then the lower bound of</span></div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span><span class="comment">// the min_var will be &gt;= to it.</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="comment">// - If there is only one candidate for the min, then if the ub(min) decrease,</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span><span class="comment">// the ub of the only candidate will be &lt;= to it.</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="comment">//</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span><span class="comment">// Complexity: This is a basic implementation in O(num_vars) on each call to</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span><span class="comment">// Propagate(), which will happen each time one or more variables in vars_</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span><span class="comment">// changed.</span></div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="comment">//</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span><span class="comment">// TODO(user): Implement a more efficient algorithm when the need arise.</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_min_propagator.html"> 170</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_min_propagator.html">MinPropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_min_propagator.html#a7adb3d82f96ba9699d1e1e1b399134ec">MinPropagator</a>(<span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> IntegerVariable min_var, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt; vars_;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">const</span> IntegerVariable min_var_;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> std::vector&lt;IntegerLiteral&gt; integer_reason_;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_min_propagator.html">MinPropagator</a>);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span>};</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span><span class="comment">// Same as MinPropagator except this works on min = MIN(exprs) where exprs are</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span><span class="comment">// linear expressions. It uses IntegerSumLE to propagate bounds on the exprs.</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span><span class="comment">// Assumes Canonical expressions (all positive coefficients).</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html"> 191</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html">LinMinPropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a3b562468ef8cc634a83e3ac7240a43da">LinMinPropagator</a>(<span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; exprs,</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> IntegerVariable min_var, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a5c9a05236b650f49c2012f279d1376ed"> 195</a></span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a5c9a05236b650f49c2012f279d1376ed">LinMinPropagator</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html">LinMinPropagator</a>&amp;) = <span class="keyword">delete</span>;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a339902adf55ff2de3795c8cbbddfed89"> 196</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html">LinMinPropagator</a>&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a339902adf55ff2de3795c8cbbddfed89">operator=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html">LinMinPropagator</a>&amp;) = <span class="keyword">delete</span>;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() final;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> private:</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// Lighter version of IntegerSumLE. This uses the current value of</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// integer_reason_ in addition to the reason for propagating the linear</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// constraint. The coeffs are assumed to be positive here.</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordtype">bool</span> PropagateLinearUpperBound(const <a class="code hl_namespace" href="namespacestd.html">std</a>::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> const <a class="code hl_namespace" href="namespacestd.html">std</a>::vector&lt;IntegerValue&gt;&amp; coeffs,</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> IntegerValue <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> const <a class="code hl_namespace" href="namespacestd.html">std</a>::vector&lt;<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&gt; exprs_;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> const IntegerVariable min_var_;</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <a class="code hl_namespace" href="namespacestd.html">std</a>::vector&lt;IntegerValue&gt; expr_lbs_;</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* model_;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <a class="code hl_namespace" href="namespacestd.html">std</a>::vector&lt;<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a>&gt; integer_reason_for_unique_candidate_;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordtype">int</span> rev_unique_candidate_ = 0;</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span>};</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span><span class="comment">// Propagates a * b = p.</span></div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span><span class="comment">//</span></div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span><span class="comment">// The bounds [min, max] of a and b will be propagated perfectly, but not</span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span><span class="comment">// the bounds on p as this require more complex arithmetics.</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_product_propagator.html"> 222</a></span>class <a class="code hl_class" href="classoperations__research_1_1sat_1_1_product_propagator.html">ProductPropagator</a> : public <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_product_propagator.html">ProductPropagator</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> p,</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="comment">// Maybe replace a_, b_ or c_ by their negation to simplify the cases.</span></div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordtype">bool</span> CanonicalizeCases();</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="comment">// Special case when all are &gt;= 0.</span></div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="comment">// We use faster code and better reasons than the generic code.</span></div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordtype">bool</span> PropagateWhenAllNonNegative();</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="comment">// Internal helper, see code for more details.</span></div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordtype">bool</span> PropagateMaxOnPositiveProduct(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> IntegerValue min_p, IntegerValue max_p);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// Note that we might negate any two terms in CanonicalizeCases() during</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="comment">// each propagation. This is fine.</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> a_;</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> b_;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> p_;</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> </div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <a class="code hl_define" href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_product_propagator.html">ProductPropagator</a>);</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span>};</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="comment">// Propagates num / denom = div. Basic version, we don&#39;t extract any special</span></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span><span class="comment">// cases, and we only propagates the bounds. It expects denom to be &gt; 0.</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span><span class="comment">//</span></div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span><span class="comment">// TODO(user): Deal with overflow.</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_division_propagator.html"> 257</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_division_propagator.html">DivisionPropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_division_propagator.html">DivisionPropagator</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> num, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> denom,</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> div, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// Propagates the fact that the signs of each domain, if fixed, are</span></div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// compatible.</span></div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordtype">bool</span> PropagateSigns();</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// If both num and div &gt;= 0, we can propagate their upper bounds.</span></div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keywordtype">bool</span> PropagateUpperBounds(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> num, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> denom,</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> div);</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> </div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="comment">// When the sign of all 3 expressions are fixed, we can do morel propagation.</span></div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="comment">//</span></div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// By using negated expressions, we can make sure the domains of num, denom,</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// and div are positive.</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordtype">bool</span> PropagatePositiveDomains(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> num, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> denom,</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> div);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> num_;</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> denom_;</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> div_;</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> negated_num_;</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> negated_div_;</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <a class="code hl_define" href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_division_propagator.html">DivisionPropagator</a>);</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span>};</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> </div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span><span class="comment">// Propagates var_a / cst_b = var_c. Basic version, we don&#39;t extract any special</span></div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span><span class="comment">// cases, and we only propagates the bounds. cst_b must be &gt; 0.</span></div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html"> 293</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">FixedDivisionPropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">FixedDivisionPropagator</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerValue <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> c, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> a_;</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keyword">const</span> IntegerValue b_;</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> c_;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <a class="code hl_define" href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">FixedDivisionPropagator</a>);</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span>};</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> </div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span><span class="comment">// Propagates target == expr % mod. Basic version, we don&#39;t extract any special</span></div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span><span class="comment">// cases, and we only propagates the bounds. mod must be &gt; 0.</span></div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html"> 313</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html">FixedModuloPropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html">FixedModuloPropagator</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr, IntegerValue mod,</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> target, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> </div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keywordtype">bool</span> PropagateSignsAndTargetRange();</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="keywordtype">bool</span> PropagateBoundsWhenExprIsPositive(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr,</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> target);</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keywordtype">bool</span> PropagateOuterBounds();</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="element_8cc.html#a2dac2393bef148b7c15723ef0770d558">expr_</a>;</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keyword">const</span> IntegerValue mod_;</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> target_;</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> negated_expr_;</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> negated_target_;</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <a class="code hl_define" href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html">FixedModuloPropagator</a>);</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span>};</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span><span class="comment">// Propagates x * x = s.</span></div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span><span class="comment">// TODO(user): Only works for x nonnegative.</span></div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_square_propagator.html"> 339</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_square_propagator.html">SquarePropagator</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_square_propagator.html">SquarePropagator</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> x, <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> s,</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail);</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> </div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">Propagate</a>() <span class="keyword">final</span>;</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher);</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> x_;</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> s_;</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> <a class="code hl_define" href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_square_propagator.html">SquarePropagator</a>);</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span>};</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span><span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span><span class="comment">// Model based functions.</span></div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span><span class="comment">// =============================================================================</span></div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> </div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span><span class="comment">// Weighted sum &lt;= constant.</span></div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2d7fdf5a1e3a1a9f3c4b893227f2f523"> 361</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2d7fdf5a1e3a1a9f3c4b893227f2f523">WeightedSumLowerOrEqual</a>(</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars, <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> int64_t <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) {</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="comment">// Special cases.</span></div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(vars.size(), 1);</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keywordflow">if</span> (vars.size() == 1) {</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="keyword">const</span> int64_t c = <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0];</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(c, 0);</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="keywordflow">if</span> (c &gt; 0) {</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">LowerOrEqual</a>(</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> vars[0],</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>), IntegerValue(c)).<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>());</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab3ba1ab2a4a6cdc0ea4324d409ddbe7e">GreaterOrEqual</a>(</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> vars[0],</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(IntegerValue(-<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>), IntegerValue(-c)).<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>());</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> }</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> }</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="keywordflow">if</span> (vars.size() == 2 &amp;&amp; (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == -1) &amp;&amp;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == -1)) {</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a57407c5ee00faeb3c3c99002dc055dcc">Sum2LowerOrEqual</a>(</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 ? vars[0] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[0]),</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 ? vars[1] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[1]), <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> }</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keywordflow">if</span> (vars.size() == 3 &amp;&amp; (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == -1) &amp;&amp;</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == -1) &amp;&amp;</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[2] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[2] == -1)) {</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#abb51ad4f1531d98c196591333500a4f9">Sum3LowerOrEqual</a>(</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 ? vars[0] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[0]),</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 ? vars[1] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[1]),</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[2] == 1 ? vars[2] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[2]), <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> </div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <span class="comment">// We split large constraints into a square root number of parts.</span></div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="comment">// This is to avoid a bad complexity while propagating them since our</span></div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="comment">// algorithm is not in O(num_changes).</span></div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="comment">//</span></div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="comment">// TODO(user): Alternatively, we could use a O(num_changes) propagation (a</span></div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="comment">// bit tricky to implement), or a decomposition into a tree with more than</span></div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="comment">// one level. Both requires experimentations.</span></div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="comment">//</span></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <span class="comment">// TODO(user): If the initial constraint was an equalilty we will create</span></div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="comment">// the &quot;intermediate&quot; variable twice where we could have use the same for</span></div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="comment">// both direction. Improve?</span></div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = vars.size();</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="keywordflow">if</span> (num_vars &gt; 100) {</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> std::vector&lt;IntegerVariable&gt; bucket_sum_vars;</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> </div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> std::vector&lt;IntegerVariable&gt; local_vars;</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> std::vector&lt;IntegerValue&gt; local_coeffs;</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> </div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <span class="keywordtype">int</span> i = 0;</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_buckets = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(std::round(std::sqrt(num_vars)));</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a> = 0; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a> &lt; num_buckets; ++<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> local_vars.clear();</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> local_coeffs.clear();</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> int64_t bucket_lb = 0;</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> int64_t bucket_ub = 0;</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> <span class="keyword">const</span> <span class="keywordtype">int</span> limit = num_vars * (<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a> + 1);</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> <span class="keywordflow">for</span> (; i * num_buckets &lt; limit; ++i) {</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> local_vars.push_back(vars[i]);</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> local_coeffs.push_back(IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i]));</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="keyword">const</span> int64_t term1 =</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3ad49ae9019c528851f6fd084479a567">LowerBound</a>(vars[i])) * <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i];</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="keyword">const</span> int64_t term2 =</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a9e815eb2193f1bb6903274c7f0859cd7">UpperBound</a>(vars[i])) * <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i];</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> bucket_lb += <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(term1, term2);</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> bucket_ub += <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(term1, term2);</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> }</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> </div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> <span class="keyword">const</span> IntegerVariable bucket_sum =</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">NewIntegerVariable</a>(bucket_lb, bucket_ub));</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> bucket_sum_vars.push_back(bucket_sum);</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> local_vars.push_back(bucket_sum);</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> local_coeffs.push_back(IntegerValue(-1));</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> {}, local_vars, local_coeffs, IntegerValue(0), <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> }</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> </div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> <span class="comment">// Create the root-level sum.</span></div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> local_vars.clear();</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> local_coeffs.clear();</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : bucket_sum_vars) {</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> local_vars.push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> local_coeffs.push_back(IntegerValue(1));</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> }</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> {}, local_vars, local_coeffs, IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>), <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> }</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> </div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> {}, vars,</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> std::vector&lt;IntegerValue&gt;(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.begin(), <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.end()),</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>), <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> };</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span>}</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> </div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span><span class="comment">// Weighted sum &gt;= constant.</span></div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a081a97fea7610aefc53d71d4f331e184"> 468</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a081a97fea7610aefc53d71d4f331e184">WeightedSumGreaterOrEqual</a>(</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars, <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> int64_t <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>) {</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <span class="comment">// We just negate everything and use an &lt;= constraints.</span></div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> std::vector&lt;int64_t&gt; negated_coeffs(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.begin(), <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.end());</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> <span class="keywordflow">for</span> (int64_t&amp; ref : negated_coeffs) ref = -ref;</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2d7fdf5a1e3a1a9f3c4b893227f2f523">WeightedSumLowerOrEqual</a>(vars, negated_coeffs, -<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>);</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span>}</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> </div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span><span class="comment">// Weighted sum == constant.</span></div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#af91c58df34008df2b7a01feb10eefd5a"> 479</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af91c58df34008df2b7a01feb10eefd5a">FixedWeightedSum</a>(</div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars, <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> int64_t <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a081a97fea7610aefc53d71d4f331e184">WeightedSumGreaterOrEqual</a>(vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2d7fdf5a1e3a1a9f3c4b893227f2f523">WeightedSumLowerOrEqual</a>(vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> };</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span>}</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> </div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span><span class="comment">// enforcement_literals =&gt; sum &lt;= upper_bound</span></div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07"> 490</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">ConditionalWeightedSumLowerOrEqual</a>(</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcement_literals,</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars, <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> int64_t <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) {</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> <span class="comment">// Special cases.</span></div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(vars.size(), 1);</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> <span class="keywordflow">if</span> (vars.size() == 1) {</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0], 0);</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] &gt; 0) {</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6e056f4efb99b080ae5bdb7267339f59">Implication</a>(</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> enforcement_literals,</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> vars[0], <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>),</div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0]))));</div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6e056f4efb99b080ae5bdb7267339f59">Implication</a>(</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> enforcement_literals,</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> vars[0], <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(IntegerValue(-<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>),</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> IntegerValue(-<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0]))));</div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> }</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> }</div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> </div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <span class="keywordflow">if</span> (vars.size() == 2 &amp;&amp; (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == -1) &amp;&amp;</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == -1)) {</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab5fec19d34c28d2540489385eb94bb8b">ConditionalSum2LowerOrEqual</a>(</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 ? vars[0] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[0]),</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 ? vars[1] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[1]), <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> enforcement_literals);</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> }</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> <span class="keywordflow">if</span> (vars.size() == 3 &amp;&amp; (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == -1) &amp;&amp;</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == -1) &amp;&amp;</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[2] == 1 || <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[2] == -1)) {</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af36dac1903d501c345320387fd9a5961">ConditionalSum3LowerOrEqual</a>(</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[0] == 1 ? vars[0] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[0]),</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[1] == 1 ? vars[1] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[1]),</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[2] == 1 ? vars[2] : <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(vars[2]), <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> enforcement_literals);</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> }</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> </div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="comment">// If value == min(expression), then we can avoid creating the sum.</span></div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> IntegerValue expression_min(0);</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="keyword">auto</span>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; vars.size(); ++i) {</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> expression_min +=</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] &gt;= 0</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> ? integer_trail-&gt;LowerBound(vars[i])</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> : integer_trail-&gt;UpperBound(vars[i]));</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> }</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> <span class="keywordflow">if</span> (expression_min == <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) {</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> <span class="comment">// Tricky: as we create integer literal, we might propagate stuff and</span></div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> <span class="comment">// the bounds might change, so if the expression_min increase with the</span></div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> <span class="comment">// bound we use, then the literal must be false.</span></div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> IntegerValue non_cached_min;</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; vars.size(); ++i) {</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] &gt; 0) {</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> <span class="keyword">const</span> IntegerValue lb = integer_trail-&gt;LowerBound(vars[i]);</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> non_cached_min += <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * lb;</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6e056f4efb99b080ae5bdb7267339f59">Implication</a>(enforcement_literals,</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(vars[i], lb)));</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] &lt; 0) {</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> <span class="keyword">const</span> IntegerValue ub = integer_trail-&gt;UpperBound(vars[i]);</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> non_cached_min += <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * ub;</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6e056f4efb99b080ae5bdb7267339f59">Implication</a>(enforcement_literals,</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(vars[i], ub)));</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> }</div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> }</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> <span class="keywordflow">if</span> (non_cached_min &gt; expression_min) {</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> std::vector&lt;Literal&gt; clause;</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : enforcement_literals) {</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> clause.push_back(l.Negated());</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> }</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a37093a0df3cca500d5f58b1d5482bdc6">ClauseConstraint</a>(clause));</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> }</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>* constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">IntegerSumLE</a>(</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> enforcement_literals, vars,</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> std::vector&lt;IntegerValue&gt;(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.begin(), <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.end()),</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> IntegerValue(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>), <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> }</div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> };</div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span>}</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> </div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span><span class="comment">// enforcement_literals =&gt; sum &gt;= lower_bound</span></div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de"> 578</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de">ConditionalWeightedSumGreaterOrEqual</a>(</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcement_literals,</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars, <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> int64_t <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>) {</div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="comment">// We just negate everything and use an &lt;= constraint.</span></div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> std::vector&lt;int64_t&gt; negated_coeffs(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.begin(), <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.end());</div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="keywordflow">for</span> (int64_t&amp; ref : negated_coeffs) ref = -ref;</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">ConditionalWeightedSumLowerOrEqual</a>(enforcement_literals, vars,</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> negated_coeffs, -<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>);</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span>}</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> </div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span><span class="comment">// Weighted sum &lt;= constant reified.</span></div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a76f2de76e7bdf7e1589a0ffe448c54f1"> 591</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a76f2de76e7bdf7e1589a0ffe448c54f1">WeightedSumLowerOrEqualReif</a>(</div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le, <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, int64_t <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) {</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">ConditionalWeightedSumLowerOrEqual</a>({is_le}, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>));</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de">ConditionalWeightedSumGreaterOrEqual</a>(</div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> {is_le.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()}, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> + 1));</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> };</div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span>}</div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> </div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span><span class="comment">// Weighted sum &gt;= constant reified.</span></div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a52366f3294c0536326672bd30035b0fe"> 604</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a52366f3294c0536326672bd30035b0fe">WeightedSumGreaterOrEqualReif</a>(</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_ge, <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, int64_t <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>) {</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de">ConditionalWeightedSumGreaterOrEqual</a>({is_ge}, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>));</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">ConditionalWeightedSumLowerOrEqual</a>(</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> {is_ge.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()}, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> - 1));</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> };</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span>}</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> </div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span><span class="comment">// LinearConstraint version.</span></div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a899896953b6215b01cb0b85caa96bebe"> 616</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a85f779432cdf63a07905deaae7fd0041">LoadLinearConstraint</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; cst, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.empty()) {</div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> &lt;= 0 &amp;&amp; cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &gt;= 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;NotifyThatModelIsUnsat();</div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> }</div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> </div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="comment">// TODO(user): Remove the conversion!</span></div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span> std::vector&lt;int64_t&gt; converted_coeffs;</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> </div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue v : cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) converted_coeffs.push_back(v.value());</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2d7fdf5a1e3a1a9f3c4b893227f2f523">WeightedSumLowerOrEqual</a>(cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, converted_coeffs, cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value()));</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> }</div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a081a97fea7610aefc53d71d4f331e184">WeightedSumGreaterOrEqual</a>(cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, converted_coeffs, cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>.value()));</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> }</div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span>}</div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> </div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4b4da650bfcb86c00bee1df0ab0cc953"> 637</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4b4da650bfcb86c00bee1df0ab0cc953">LoadConditionalLinearConstraint</a>(</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> <span class="keyword">const</span> absl::Span&lt;const Literal&gt; enforcement_literals,</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_constraint.html">LinearConstraint</a>&amp; cst, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> <span class="keywordflow">if</span> (enforcement_literals.empty()) {</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a85f779432cdf63a07905deaae7fd0041">LoadLinearConstraint</a>(cst, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> }</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.empty()) {</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> &lt;= 0 &amp;&amp; cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &gt;= 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a37093a0df3cca500d5f58b1d5482bdc6">ClauseConstraint</a>(enforcement_literals));</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> }</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> </div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> <span class="comment">// TODO(user): Remove the conversion!</span></div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> std::vector&lt;Literal&gt; converted_literals(enforcement_literals.begin(),</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> enforcement_literals.end());</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> std::vector&lt;int64_t&gt; converted_coeffs;</div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue v : cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) converted_coeffs.push_back(v.value());</div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> </div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a> &lt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">ConditionalWeightedSumLowerOrEqual</a>(</div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> converted_literals, cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, converted_coeffs, cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">ub</a>.value()));</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> }</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> <span class="keywordflow">if</span> (cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a> &gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) {</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de">ConditionalWeightedSumGreaterOrEqual</a>(</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> converted_literals, cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>, converted_coeffs, cst.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">lb</a>.value()));</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> }</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span>}</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> </div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span><span class="comment">// Weighted sum == constant reified.</span></div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span><span class="comment">// TODO(user): Simplify if the constant is at the edge of the possible values.</span></div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aad857ec34d719b9094b332f3fcdaf8c5"> 667</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aad857ec34d719b9094b332f3fcdaf8c5">FixedWeightedSumReif</a>(</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_eq, <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, int64_t <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> <span class="comment">// We creates two extra Boolean variables in this case. The alternative is</span></div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> <span class="comment">// to code a custom propagator for the direction equality =&gt; reified.</span></div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_le = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_ge = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aa6d55689d1854993da4a2e31c5539905">ReifiedBoolAnd</a>({is_le, is_ge}, is_eq));</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a76f2de76e7bdf7e1589a0ffe448c54f1">WeightedSumLowerOrEqualReif</a>(is_le, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a52366f3294c0536326672bd30035b0fe">WeightedSumGreaterOrEqualReif</a>(is_ge, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> };</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span>}</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> </div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span><span class="comment">// Weighted sum != constant.</span></div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span><span class="comment">// TODO(user): Simplify if the constant is at the edge of the possible values.</span></div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a64577e0206830814a452b8e9903c050b"> 684</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a64577e0206830814a452b8e9903c050b">WeightedSumNotEqual</a>(</div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars, <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> int64_t <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> <span class="comment">// Exactly one of these alternative must be true.</span></div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_lt = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_gt = is_lt.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>();</div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">ConditionalWeightedSumLowerOrEqual</a>(is_lt, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> - 1));</div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de">ConditionalWeightedSumGreaterOrEqual</a>(is_gt, vars, <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> + 1));</div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> };</div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span>}</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> </div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span><span class="comment">// Model-based function to create an IntegerVariable that corresponds to the</span></div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span><span class="comment">// given weighted sum of other IntegerVariables.</span></div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span><span class="comment">//</span></div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span><span class="comment">// Note that this is templated so that it can seamlessly accept vector&lt;int&gt; or</span></div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span><span class="comment">// vector&lt;int64_t&gt;.</span></div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span><span class="comment">//</span></div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span><span class="comment">// TODO(user): invert the coefficients/vars arguments.</span></div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> VectorInt&gt;</div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad8af8f787d40f2ccb96beb5306c913c5"> 706</a></span><span class="keyword">inline</span> std::function&lt;IntegerVariable(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad8af8f787d40f2ccb96beb5306c913c5">NewWeightedSum</a>(</div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <span class="keyword">const</span> VectorInt&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars) {</div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> std::vector&lt;IntegerVariable&gt; new_vars = vars;</div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> <span class="comment">// To avoid overflow in the FixedWeightedSum() constraint, we need to</span></div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> <span class="comment">// compute the basic bounds on the sum.</span></div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> <span class="comment">//</span></div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> <span class="comment">// TODO(user): deal with overflow here too!</span></div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> int64_t sum_lb(0);</div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> int64_t sum_ub(0);</div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; new_vars.size(); ++i) {</div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] &gt; 0) {</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> sum_lb += <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3ad49ae9019c528851f6fd084479a567">LowerBound</a>(new_vars[i]));</div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> sum_ub += <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a9e815eb2193f1bb6903274c7f0859cd7">UpperBound</a>(new_vars[i]));</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> sum_lb += <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a9e815eb2193f1bb6903274c7f0859cd7">UpperBound</a>(new_vars[i]));</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> sum_ub += <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>[i] * <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3ad49ae9019c528851f6fd084479a567">LowerBound</a>(new_vars[i]));</div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> }</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> }</div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> </div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="keyword">const</span> IntegerVariable sum = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">NewIntegerVariable</a>(sum_lb, sum_ub));</div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> new_vars.push_back(sum);</div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> std::vector&lt;int64_t&gt; new_coeffs(<a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.begin(), <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>.end());</div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> new_coeffs.push_back(-1);</div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af91c58df34008df2b7a01feb10eefd5a">FixedWeightedSum</a>(new_vars, new_coeffs, 0));</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> <span class="keywordflow">return</span> sum;</div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> };</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span>}</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> </div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span><span class="comment">// Expresses the fact that an existing integer variable is equal to the minimum</span></div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span><span class="comment">// of other integer variables.</span></div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab0b72a1346795e18cd789a15a0d3e1fc"> 737</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab0b72a1346795e18cd789a15a0d3e1fc">IsEqualToMinOf</a>(</div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> IntegerVariable min_var, <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars) {</div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable&amp; <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">LowerOrEqual</a>(min_var, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> }</div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> </div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_min_propagator.html">MinPropagator</a>* constraint =</div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_min_propagator.html">MinPropagator</a>(vars, min_var, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;());</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> };</div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span>}</div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> </div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span><span class="comment">// Expresses the fact that an existing integer variable is equal to the minimum</span></div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span><span class="comment">// of linear expressions. Assumes Canonical expressions (all positive</span></div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span><span class="comment">// coefficients).</span></div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a4d7b280638f4df989a78aa0774e48160"> 754</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab0b72a1346795e18cd789a15a0d3e1fc">IsEqualToMinOf</a>(</div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; min_expr,</div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> <span class="keyword">const</span> std::vector&lt;LinearExpression&gt;&amp; exprs) {</div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> </div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> IntegerVariable min_var;</div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> <span class="keywordflow">if</span> (min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>.size() == 1 &amp;&amp;</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> std::abs(min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[0].value()) == 1 &amp;&amp; min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a> == 0) {</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> <span class="keywordflow">if</span> (min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>[0].value() == 1) {</div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> min_var = min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[0];</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> min_var = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>[0]);</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> }</div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> <span class="comment">// Create a new variable if the expression is not just a single variable.</span></div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> IntegerValue min_lb = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a14ed349a41e2b31bb1c15ea3c44a6bc0">LinExprLowerBound</a>(min_expr, *integer_trail);</div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> IntegerValue min_ub = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad8620567e3849359ab6deda5f97aef91">LinExprUpperBound</a>(min_expr, *integer_trail);</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> min_var = integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">AddIntegerVariable</a>(min_lb, min_ub);</div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> </div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> <span class="comment">// min_var = min_expr</span></div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> std::vector&lt;IntegerVariable&gt; min_sum_vars = min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">vars</a>;</div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> std::vector&lt;int64_t&gt; min_sum_coeffs;</div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> <span class="keywordflow">for</span> (IntegerValue coeff : min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">coeffs</a>) {</div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> min_sum_coeffs.push_back(coeff.value());</div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> }</div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> min_sum_vars.push_back(min_var);</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> min_sum_coeffs.push_back(-1);</div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> </div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#af91c58df34008df2b7a01feb10eefd5a">FixedWeightedSum</a>(min_sum_vars, min_sum_coeffs,</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> -min_expr.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">offset</a>.value()));</div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> }</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_linear_expression.html">LinearExpression</a>&amp; expr : exprs) {</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> <span class="comment">// min_var &lt;= expr</span></div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> std::vector&lt;IntegerVariable&gt; vars = expr.vars;</div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> std::vector&lt;int64_t&gt; coeffs;</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> <span class="keywordflow">for</span> (IntegerValue coeff : expr.coeffs) {</div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> coeffs.push_back(coeff.value());</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> }</div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> vars.push_back(min_var);</div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> coeffs.push_back(-1);</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a081a97fea7610aefc53d71d4f331e184">WeightedSumGreaterOrEqual</a>(vars, coeffs, -expr.offset.value()));</div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> }</div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> </div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html">LinMinPropagator</a>* constraint = <span class="keyword">new</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a3b562468ef8cc634a83e3ac7240a43da">LinMinPropagator</a>(exprs, min_var, <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> };</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span>}</div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> </div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span><span class="comment">// Expresses the fact that an existing integer variable is equal to the maximum</span></div>
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span><span class="comment">// of other integer variables.</span></div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a68411f1ba2fe4b8f25d8dd9a549cb5a1"> 806</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a68411f1ba2fe4b8f25d8dd9a549cb5a1">IsEqualToMaxOf</a>(</div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> IntegerVariable max_var, <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars) {</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> std::vector&lt;IntegerVariable&gt; negated_vars;</div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable&amp; <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars) {</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> negated_vars.push_back(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab3ba1ab2a4a6cdc0ea4324d409ddbe7e">GreaterOrEqual</a>(max_var, <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>));</div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> }</div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> </div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_min_propagator.html">MinPropagator</a>* constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_min_propagator.html">MinPropagator</a>(</div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> negated_vars, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(max_var), <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;());</div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> constraint-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_min_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">RegisterWith</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> };</div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"> 820</span>}</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> </div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span><span class="comment">// Expresses the fact that an existing integer variable is equal to one of</span></div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span><span class="comment">// the given values, each selected by a given literal.</span></div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span>std::function&lt;void(Model*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3b4ae0e8f4326c316681a472e623e5d6">IsOneOf</a>(IntegerVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; selectors,</div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; values);</div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span> </div>
<div class="line"><a id="l00828" name="l00828"></a><span class="lineno"> 828</span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a id="l00829" name="l00829"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a838ae1c98a62762620ef82e362c4ad8c"> 829</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a838ae1c98a62762620ef82e362c4ad8c">RegisterAndTransferOwnership</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, T* <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {</div>
<div class="line"><a id="l00830" name="l00830"></a><span class="lineno"> 830</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;RegisterWith(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00831" name="l00831"></a><span class="lineno"> 831</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(<a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
<div class="line"><a id="l00832" name="l00832"></a><span class="lineno"> 832</span>}</div>
<div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span><span class="comment">// Adds the constraint: a * b = p.</span></div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a2ee7c83ad06fb9a710a64f3ff79b4289"> 834</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2ee7c83ad06fb9a710a64f3ff79b4289">ProductConstraint</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> p) {</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> == <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span> <span class="keywordflow">if</span> (integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>) &gt;= 0) {</div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a838ae1c98a62762620ef82e362c4ad8c">RegisterAndTransferOwnership</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"> 842</span> <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_square_propagator.html">SquarePropagator</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, p, integer_trail));</div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00844" name="l00844"></a><span class="lineno"> 844</span> }</div>
<div class="line"><a id="l00845" name="l00845"></a><span class="lineno"> 845</span> <span class="keywordflow">if</span> (integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>) &lt;= 0) {</div>
<div class="line"><a id="l00846" name="l00846"></a><span class="lineno"> 846</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a838ae1c98a62762620ef82e362c4ad8c">RegisterAndTransferOwnership</a>(</div>
<div class="line"><a id="l00847" name="l00847"></a><span class="lineno"> 847</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_square_propagator.html">SquarePropagator</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.Negated(), p, integer_trail));</div>
<div class="line"><a id="l00848" name="l00848"></a><span class="lineno"> 848</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00849" name="l00849"></a><span class="lineno"> 849</span> }</div>
<div class="line"><a id="l00850" name="l00850"></a><span class="lineno"> 850</span> }</div>
<div class="line"><a id="l00851" name="l00851"></a><span class="lineno"> 851</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a838ae1c98a62762620ef82e362c4ad8c">RegisterAndTransferOwnership</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div>
<div class="line"><a id="l00852" name="l00852"></a><span class="lineno"> 852</span> <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_product_propagator.html">ProductPropagator</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, p, integer_trail));</div>
<div class="line"><a id="l00853" name="l00853"></a><span class="lineno"> 853</span> };</div>
<div class="line"><a id="l00854" name="l00854"></a><span class="lineno"> 854</span>}</div>
<div class="line"><a id="l00855" name="l00855"></a><span class="lineno"> 855</span> </div>
<div class="line"><a id="l00856" name="l00856"></a><span class="lineno"> 856</span><span class="comment">// Adds the constraint: num / denom = div. (denom &gt; 0).</span></div>
<div class="line"><a id="l00857" name="l00857"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a6d8e3999c6efdf2b47d4379b3eb9c85e"> 857</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a6d8e3999c6efdf2b47d4379b3eb9c85e">DivisionConstraint</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> num,</div>
<div class="line"><a id="l00858" name="l00858"></a><span class="lineno"> 858</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> denom,</div>
<div class="line"><a id="l00859" name="l00859"></a><span class="lineno"> 859</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> div) {</div>
<div class="line"><a id="l00860" name="l00860"></a><span class="lineno"> 860</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00861" name="l00861"></a><span class="lineno"> 861</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00862" name="l00862"></a><span class="lineno"> 862</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_division_propagator.html">DivisionPropagator</a>* constraint;</div>
<div class="line"><a id="l00863" name="l00863"></a><span class="lineno"> 863</span> <span class="keywordflow">if</span> (integer_trail-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(denom) &lt; 0) {</div>
<div class="line"><a id="l00864" name="l00864"></a><span class="lineno"> 864</span> constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_division_propagator.html">DivisionPropagator</a>(num.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>(), denom.<a class="code hl_function" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>(), div,</div>
<div class="line"><a id="l00865" name="l00865"></a><span class="lineno"> 865</span> integer_trail);</div>
<div class="line"><a id="l00866" name="l00866"></a><span class="lineno"> 866</span> </div>
<div class="line"><a id="l00867" name="l00867"></a><span class="lineno"> 867</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00868" name="l00868"></a><span class="lineno"> 868</span> constraint = <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_division_propagator.html">DivisionPropagator</a>(num, denom, div, integer_trail);</div>
<div class="line"><a id="l00869" name="l00869"></a><span class="lineno"> 869</span> }</div>
<div class="line"><a id="l00870" name="l00870"></a><span class="lineno"> 870</span> constraint-&gt;RegisterWith(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00871" name="l00871"></a><span class="lineno"> 871</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00872" name="l00872"></a><span class="lineno"> 872</span> };</div>
<div class="line"><a id="l00873" name="l00873"></a><span class="lineno"> 873</span>}</div>
<div class="line"><a id="l00874" name="l00874"></a><span class="lineno"> 874</span> </div>
<div class="line"><a id="l00875" name="l00875"></a><span class="lineno"> 875</span><span class="comment">// Adds the constraint: a / b = c where b is a constant.</span></div>
<div class="line"><a id="l00876" name="l00876"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a41ea57d3df7b63f7be86a96eca1d0cf8"> 876</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a41ea57d3df7b63f7be86a96eca1d0cf8">FixedDivisionConstraint</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
<div class="line"><a id="l00877" name="l00877"></a><span class="lineno"> 877</span> IntegerValue <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
<div class="line"><a id="l00878" name="l00878"></a><span class="lineno"> 878</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> c) {</div>
<div class="line"><a id="l00879" name="l00879"></a><span class="lineno"> 879</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00880" name="l00880"></a><span class="lineno"> 880</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00881" name="l00881"></a><span class="lineno"> 881</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">FixedDivisionPropagator</a>* constraint =</div>
<div class="line"><a id="l00882" name="l00882"></a><span class="lineno"> 882</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a> &gt; 0 ? <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">FixedDivisionPropagator</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, c, integer_trail)</div>
<div class="line"><a id="l00883" name="l00883"></a><span class="lineno"> 883</span> : <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">FixedDivisionPropagator</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.Negated(), -<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, c, integer_trail);</div>
<div class="line"><a id="l00884" name="l00884"></a><span class="lineno"> 884</span> constraint-&gt;RegisterWith(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00885" name="l00885"></a><span class="lineno"> 885</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00886" name="l00886"></a><span class="lineno"> 886</span> };</div>
<div class="line"><a id="l00887" name="l00887"></a><span class="lineno"> 887</span>}</div>
<div class="line"><a id="l00888" name="l00888"></a><span class="lineno"> 888</span> </div>
<div class="line"><a id="l00889" name="l00889"></a><span class="lineno"> 889</span><span class="comment">// Adds the constraint: a % b = c where b is a constant.</span></div>
<div class="line"><a id="l00890" name="l00890"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ad9f0785106a02e030ddee919ff33bd0d"> 890</a></span><span class="keyword">inline</span> std::function&lt;void(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ad9f0785106a02e030ddee919ff33bd0d">FixedModuloConstraint</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div>
<div class="line"><a id="l00891" name="l00891"></a><span class="lineno"> 891</span> IntegerValue <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>,</div>
<div class="line"><a id="l00892" name="l00892"></a><span class="lineno"> 892</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> c) {</div>
<div class="line"><a id="l00893" name="l00893"></a><span class="lineno"> 893</span> <span class="keywordflow">return</span> [=](<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a id="l00894" name="l00894"></a><span class="lineno"> 894</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a id="l00895" name="l00895"></a><span class="lineno"> 895</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html">FixedModuloPropagator</a>* constraint =</div>
<div class="line"><a id="l00896" name="l00896"></a><span class="lineno"> 896</span> <span class="keyword">new</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html">FixedModuloPropagator</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, c, integer_trail);</div>
<div class="line"><a id="l00897" name="l00897"></a><span class="lineno"> 897</span> constraint-&gt;RegisterWith(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>&gt;());</div>
<div class="line"><a id="l00898" name="l00898"></a><span class="lineno"> 898</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;TakeOwnership(constraint);</div>
<div class="line"><a id="l00899" name="l00899"></a><span class="lineno"> 899</span> };</div>
<div class="line"><a id="l00900" name="l00900"></a><span class="lineno"> 900</span>}</div>
<div class="line"><a id="l00901" name="l00901"></a><span class="lineno"> 901</span> </div>
<div class="line"><a id="l00902" name="l00902"></a><span class="lineno"> 902</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l00903" name="l00903"></a><span class="lineno"> 903</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00904" name="l00904"></a><span class="lineno"> 904</span> </div>
<div class="line"><a id="l00905" name="l00905"></a><span class="lineno"> 905</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_INTEGER_EXPR_H_</span></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
<div class="ttc" id="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_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#l00703">base/logging.h:703</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb"><div class="ttname"><a href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a></div><div class="ttdeci">#define CHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00700">base/logging.h:700</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_time_limit_html"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html">operations_research::TimeLimit</a></div><div class="ttdoc">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same threa...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00106">time_limit.h:106</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_division_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_division_propagator.html">operations_research::sat::DivisionPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00257">integer_expr.h:257</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_fixed_division_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_fixed_division_propagator.html">operations_research::sat::FixedDivisionPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00293">integer_expr.h:293</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_fixed_modulo_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_fixed_modulo_propagator.html">operations_research::sat::FixedModuloPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00313">integer_expr.h:313</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">operations_research::sat::GenericLiteralWatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01221">integer.h:1221</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html">operations_research::sat::IntegerSumLE</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00051">integer_expr.h:51</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::IntegerSumLE::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00292">integer_expr.cc:292</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html_a79ee9e362d647b6d65cf6d38e3df216d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a79ee9e362d647b6d65cf6d38e3df216d">operations_research::sat::IntegerSumLE::PropagateAtLevelZero</a></div><div class="ttdeci">bool PropagateAtLevelZero()</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00250">integer_expr.cc:250</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_sum_l_e_html_a83404baa3e4ce3beaefa9a662f627655"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_sum_l_e.html#a83404baa3e4ce3beaefa9a662f627655">operations_research::sat::IntegerSumLE::ConditionalLb</a></div><div class="ttdeci">std::pair&lt; IntegerValue, IntegerValue &gt; ConditionalLb(IntegerLiteral integer_literal, IntegerVariable target_var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00079">integer_expr.cc:79</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#l00134">integer_expr.cc:134</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#l00031">integer_expr.cc:31</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00613">integer.h:613</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01439">integer.h:1439</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_aa2d7b702e17a5cd4108b465385dd9acd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa2d7b702e17a5cd4108b465385dd9acd">operations_research::sat::IntegerTrail::AddIntegerVariable</a></div><div class="ttdeci">IntegerVariable AddIntegerVariable(IntegerValue lower_bound, IntegerValue upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00622">integer.cc:622</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01435">integer.h:1435</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_level_zero_equality_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_level_zero_equality.html">operations_research::sat::LevelZeroEquality</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00127">integer_expr.h:127</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_level_zero_equality_html_ab7be565ae45c1e7171a1975d0055c422"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_level_zero_equality.html#ab7be565ae45c1e7171a1975d0055c422">operations_research::sat::LevelZeroEquality::LevelZeroEquality</a></div><div class="ttdeci">LevelZeroEquality(IntegerVariable target, const std::vector&lt; IntegerVariable &gt; &amp;vars, const std::vector&lt; IntegerValue &gt; &amp;coeffs, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8cc_source.html#l00308">integer_expr.cc:308</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#l00332">integer_expr.cc:332</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_lin_min_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_lin_min_propagator.html">operations_research::sat::LinMinPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00191">integer_expr.h:191</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_lin_min_propagator_html_a339902adf55ff2de3795c8cbbddfed89"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a339902adf55ff2de3795c8cbbddfed89">operations_research::sat::LinMinPropagator::operator=</a></div><div class="ttdeci">LinMinPropagator &amp; operator=(const LinMinPropagator &amp;)=delete</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#l00468">integer_expr.cc:468</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_lin_min_propagator_html_a5c9a05236b650f49c2012f279d1376ed"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_lin_min_propagator.html#a5c9a05236b650f49c2012f279d1376ed">operations_research::sat::LinMinPropagator::LinMinPropagator</a></div><div class="ttdeci">LinMinPropagator(const LinMinPropagator &amp;)=delete</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#l00651">integer_expr.cc:651</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#l00572">integer_expr.cc:572</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#l00066">sat_base.h:66</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#l00093">sat_base.h:93</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_min_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_min_propagator.html">operations_research::sat::MinPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00170">integer_expr.h:170</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#l00460">integer_expr.cc:460</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#l00377">integer_expr.cc:377</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#l00382">integer_expr.cc:382</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_product_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_product_propagator.html">operations_research::sat::ProductPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00222">integer_expr.h:222</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_propagator_interface_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html">operations_research::sat::PropagatorInterface</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01173">integer.h:1173</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#l01210">integer.h:1210</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00058">sat_solver.h:58</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_square_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_square_propagator.html">operations_research::sat::SquarePropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00339">integer_expr.h:339</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00235">sat_base.h:235</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_a05da18ca9c7b657a4a6ea24e07c9b695"><div class="ttname"><a href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a></div><div class="ttdeci">const Constraint * ct</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
<div class="ttc" id="aelement_8cc_html_a2dac2393bef148b7c15723ef0770d558"><div class="ttname"><a href="element_8cc.html#a2dac2393bef148b7c15723ef0770d558">expr_</a></div><div class="ttdeci">IntVar *const expr_</div><div class="ttdef"><b>Definition:</b> <a href="element_8cc_source.html#l00087">element.cc:87</a></div></div>
<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00126">gscip_solver.cc:126</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00125">gscip_solver.cc:125</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_aa59e74cc299dbf75fa6e2234dd0849a2"><div class="ttname"><a href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a></div><div class="ttdeci">absl::Span&lt; const double &gt; coefficients</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00129">gscip_solver.cc:129</a></div></div>
<div class="ttc" id="agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
<div class="ttc" id="aint__type_8h_html"><div class="ttname"><a href="int__type_8h.html">int_type.h</a></div></div>
<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
<div class="ttc" id="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
<div class="ttc" id="amacros_8h_html"><div class="ttname"><a href="macros_8h.html">macros.h</a></div></div>
<div class="ttc" id="amacros_8h_html_af8df3547bfde53a5acb93e2607b0034a"><div class="ttname"><a href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a></div><div class="ttdeci">#define DISALLOW_COPY_AND_ASSIGN(TypeName)</div><div class="ttdef"><b>Definition:</b> <a href="macros_8h_source.html#l00029">macros.h:29</a></div></div>
<div class="ttc" id="amathutil_8h_html"><div class="ttname"><a href="mathutil_8h.html">mathutil.h</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a07823d046b027c81155f8a2f322cf813"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">operations_research::sat::FloorRatio</a></div><div class="ttdeci">IntegerValue FloorRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00092">integer.h:92</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a081a97fea7610aefc53d71d4f331e184"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a081a97fea7610aefc53d71d4f331e184">operations_research::sat::WeightedSumGreaterOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; WeightedSumGreaterOrEqual(const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t lower_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00468">integer_expr.h:468</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits&lt; IntegerValue::ValueType &gt;::max() - 1)</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_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="sat_2linear__constraint_8cc_source.html#l00331">sat/linear_constraint.cc:331</a></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#l00083">integer.h:83</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2d7fdf5a1e3a1a9f3c4b893227f2f523"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2d7fdf5a1e3a1a9f3c4b893227f2f523">operations_research::sat::WeightedSumLowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; WeightedSumLowerOrEqual(const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00361">integer_expr.h:361</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2ee7c83ad06fb9a710a64f3ff79b4289"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2ee7c83ad06fb9a710a64f3ff79b4289">operations_research::sat::ProductConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ProductConstraint(AffineExpression a, AffineExpression b, AffineExpression p)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00834">integer_expr.h:834</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a37093a0df3cca500d5f58b1d5482bdc6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a37093a0df3cca500d5f58b1d5482bdc6">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#l00906">sat_solver.h:906</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3ad49ae9019c528851f6fd084479a567"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3ad49ae9019c528851f6fd084479a567">operations_research::sat::LowerBound</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; LowerBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01653">integer.h:1653</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#l01472">integer_expr.cc:1472</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3cb95842130bc03177260ad20464bdbf"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3cb95842130bc03177260ad20464bdbf">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#l01598">integer.h:1598</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3f35d207f7fbd9abc30ced851352b069"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3f35d207f7fbd9abc30ced851352b069">operations_research::sat::LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; LowerOrEqual(IntegerVariable v, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01696">integer.h:1696</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a41ea57d3df7b63f7be86a96eca1d0cf8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a41ea57d3df7b63f7be86a96eca1d0cf8">operations_research::sat::FixedDivisionConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; FixedDivisionConstraint(AffineExpression a, IntegerValue b, AffineExpression c)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00876">integer_expr.h:876</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4b4da650bfcb86c00bee1df0ab0cc953"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4b4da650bfcb86c00bee1df0ab0cc953">operations_research::sat::LoadConditionalLinearConstraint</a></div><div class="ttdeci">void LoadConditionalLinearConstraint(const absl::Span&lt; const Literal &gt; enforcement_literals, const LinearConstraint &amp;cst, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00637">integer_expr.h:637</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4e9a9e3ac315ee1254246c0fb2dfa3de"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4e9a9e3ac315ee1254246c0fb2dfa3de">operations_research::sat::ConditionalWeightedSumGreaterOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ConditionalWeightedSumGreaterOrEqual(const std::vector&lt; Literal &gt; &amp;enforcement_literals, const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t lower_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00578">integer_expr.h:578</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a52366f3294c0536326672bd30035b0fe"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a52366f3294c0536326672bd30035b0fe">operations_research::sat::WeightedSumGreaterOrEqualReif</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; WeightedSumGreaterOrEqualReif(Literal is_ge, const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t lower_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00604">integer_expr.h:604</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a57407c5ee00faeb3c3c99002dc055dcc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a57407c5ee00faeb3c3c99002dc055dcc">operations_research::sat::Sum2LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; Sum2LowerOrEqual(IntegerVariable a, IntegerVariable b, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00353">precedences.h:353</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5f5dfcfb781eb96e92b08d0f7f983a07"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5f5dfcfb781eb96e92b08d0f7f983a07">operations_research::sat::ConditionalWeightedSumLowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ConditionalWeightedSumLowerOrEqual(const std::vector&lt; Literal &gt; &amp;enforcement_literals, const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00490">integer_expr.h:490</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a64577e0206830814a452b8e9903c050b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a64577e0206830814a452b8e9903c050b">operations_research::sat::WeightedSumNotEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; WeightedSumNotEqual(const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00684">integer_expr.h:684</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a68411f1ba2fe4b8f25d8dd9a549cb5a1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a68411f1ba2fe4b8f25d8dd9a549cb5a1">operations_research::sat::IsEqualToMaxOf</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; IsEqualToMaxOf(IntegerVariable max_var, const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00806">integer_expr.h:806</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a6d8e3999c6efdf2b47d4379b3eb9c85e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a6d8e3999c6efdf2b47d4379b3eb9c85e">operations_research::sat::DivisionConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; DivisionConstraint(AffineExpression num, AffineExpression denom, AffineExpression div)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00857">integer_expr.h:857</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a6e056f4efb99b080ae5bdb7267339f59"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a6e056f4efb99b080ae5bdb7267339f59">operations_research::sat::Implication</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; Implication(const std::vector&lt; Literal &gt; &amp;enforcement_literals, IntegerLiteral i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01724">integer.h:1724</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a76f2de76e7bdf7e1589a0ffe448c54f1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a76f2de76e7bdf7e1589a0ffe448c54f1">operations_research::sat::WeightedSumLowerOrEqualReif</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; WeightedSumLowerOrEqualReif(Literal is_le, const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00591">integer_expr.h:591</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a838ae1c98a62762620ef82e362c4ad8c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a838ae1c98a62762620ef82e362c4ad8c">operations_research::sat::RegisterAndTransferOwnership</a></div><div class="ttdeci">void RegisterAndTransferOwnership(Model *model, T *ct)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00829">integer_expr.h:829</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a85f779432cdf63a07905deaae7fd0041"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a85f779432cdf63a07905deaae7fd0041">operations_research::sat::LoadLinearConstraint</a></div><div class="ttdeci">void LoadLinearConstraint(const ConstraintProto &amp;ct, Model *m)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__loader_8cc_source.html#l00975">cp_model_loader.cc:975</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a9e815eb2193f1bb6903274c7f0859cd7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a9e815eb2193f1bb6903274c7f0859cd7">operations_research::sat::UpperBound</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; UpperBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01659">integer.h:1659</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa6d55689d1854993da4a2e31c5539905"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa6d55689d1854993da4a2e31c5539905">operations_research::sat::ReifiedBoolAnd</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ReifiedBoolAnd(const std::vector&lt; Literal &gt; &amp;literals, Literal r)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00970">sat_solver.h:970</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aad857ec34d719b9094b332f3fcdaf8c5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aad857ec34d719b9094b332f3fcdaf8c5">operations_research::sat::FixedWeightedSumReif</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; FixedWeightedSumReif(Literal is_eq, const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00667">integer_expr.h:667</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; NegationOf(const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00030">integer.cc:30</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab0b72a1346795e18cd789a15a0d3e1fc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab0b72a1346795e18cd789a15a0d3e1fc">operations_research::sat::IsEqualToMinOf</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; IsEqualToMinOf(IntegerVariable min_var, const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00737">integer_expr.h:737</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab186c7ad5f0930615f096f56e1499d30"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab186c7ad5f0930615f096f56e1499d30">operations_research::sat::NewIntegerVariable</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewIntegerVariable(int64_t lb, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01612">integer.h:1612</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab3ba1ab2a4a6cdc0ea4324d409ddbe7e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab3ba1ab2a4a6cdc0ea4324d409ddbe7e">operations_research::sat::GreaterOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; GreaterOrEqual(IntegerVariable v, int64_t lb)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01681">integer.h:1681</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab5fec19d34c28d2540489385eb94bb8b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab5fec19d34c28d2540489385eb94bb8b">operations_research::sat::ConditionalSum2LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ConditionalSum2LowerOrEqual(IntegerVariable a, IntegerVariable b, int64_t ub, const std::vector&lt; Literal &gt; &amp;enforcement_literals)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00360">precedences.h:360</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_abb51ad4f1531d98c196591333500a4f9"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#abb51ad4f1531d98c196591333500a4f9">operations_research::sat::Sum3LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; Sum3LowerOrEqual(IntegerVariable a, IntegerVariable b, IntegerVariable c, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00371">precedences.h:371</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="sat_2linear__constraint_8cc_source.html#l00341">sat/linear_constraint.cc:341</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad8af8f787d40f2ccb96beb5306c913c5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad8af8f787d40f2ccb96beb5306c913c5">operations_research::sat::NewWeightedSum</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewWeightedSum(const VectorInt &amp;coefficients, const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00706">integer_expr.h:706</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad9f0785106a02e030ddee919ff33bd0d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad9f0785106a02e030ddee919ff33bd0d">operations_research::sat::FixedModuloConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; FixedModuloConstraint(AffineExpression a, IntegerValue b, AffineExpression c)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00890">integer_expr.h:890</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_af36dac1903d501c345320387fd9a5961"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af36dac1903d501c345320387fd9a5961">operations_research::sat::ConditionalSum3LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ConditionalSum3LowerOrEqual(IntegerVariable a, IntegerVariable b, IntegerVariable c, int64_t ub, const std::vector&lt; Literal &gt; &amp;enforcement_literals)</div><div class="ttdef"><b>Definition:</b> <a href="precedences_8h_source.html#l00382">precedences.h:382</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_af91c58df34008df2b7a01feb10eefd5a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af91c58df34008df2b7a01feb10eefd5a">operations_research::sat::FixedWeightedSum</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; FixedWeightedSum(const std::vector&lt; IntegerVariable &gt; &amp;vars, const VectorInt &amp;coefficients, int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="integer__expr_8h_source.html#l00479">integer_expr.h:479</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="anamespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdoc">STL namespace.</div></div>
<div class="ttc" id="aprecedences_8h_html"><div class="ttname"><a href="precedences_8h.html">precedences.h</a></div></div>
<div class="ttc" id="arev_8h_html"><div class="ttname"><a href="rev_8h.html">rev.h</a></div></div>
<div class="ttc" id="asat_2linear__constraint_8h_html"><div class="ttname"><a href="sat_2linear__constraint_8h.html">linear_constraint.h</a></div></div>
<div class="ttc" id="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
<div class="ttc" id="asat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
<div class="ttc" id="asat__solver_8h_html"><div class="ttname"><a href="sat__solver_8h.html">sat_solver.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html">operations_research::sat::AffineExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00227">integer.h:227</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_affine_expression_html_a19bff44fb82e19c55a4da7fe9aa38a86"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">operations_research::sat::AffineExpression::Negated</a></div><div class="ttdeci">AffineExpression Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00252">integer.h:252</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html">operations_research::sat::IntegerLiteral</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00168">integer.h:168</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_a3e2eb445631727dd4abf1d5343f16b2f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">operations_research::sat::IntegerLiteral::LowerOrEqual</a></div><div class="ttdeci">static IntegerLiteral LowerOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01383">integer.h:1383</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_integer_literal_html_a6c233aafac25ea66d69de93a83c9be63"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">operations_research::sat::IntegerLiteral::GreaterOrEqual</a></div><div class="ttdeci">static IntegerLiteral GreaterOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01377">integer.h:1377</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html">operations_research::sat::LinearConstraint</a></div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00033">sat/linear_constraint.h:33</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a0ee34e5c6fbf075def1a6c2f0c42d040"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a0ee34e5c6fbf075def1a6c2f0c42d040">operations_research::sat::LinearConstraint::lb</a></div><div class="ttdeci">IntegerValue lb</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00034">sat/linear_constraint.h:34</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearConstraint::coeffs</a></div><div class="ttdeci">std::vector&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00037">sat/linear_constraint.h:37</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a6e2915dc7e5345d6959390b53f026c5f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a6e2915dc7e5345d6959390b53f026c5f">operations_research::sat::LinearConstraint::ub</a></div><div class="ttdeci">IntegerValue ub</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00035">sat/linear_constraint.h:35</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_constraint_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_constraint.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearConstraint::vars</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00036">sat/linear_constraint.h:36</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_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="sat_2linear__constraint_8h_source.html#l00088">sat/linear_constraint.h:88</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a4053d5aed2a34995e0aeb2042878ca7a"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a4053d5aed2a34995e0aeb2042878ca7a">operations_research::sat::LinearExpression::coeffs</a></div><div class="ttdeci">std::vector&lt; IntegerValue &gt; coeffs</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00090">sat/linear_constraint.h:90</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_a73e4094f2d4e2adbe5e8d79a5b61fcd1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#a73e4094f2d4e2adbe5e8d79a5b61fcd1">operations_research::sat::LinearExpression::vars</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; vars</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00089">sat/linear_constraint.h:89</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_linear_expression_html_acd07f8397a2e61932c8ee17a4e300e23"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_linear_expression.html#acd07f8397a2e61932c8ee17a4e300e23">operations_research::sat::LinearExpression::offset</a></div><div class="ttdeci">IntegerValue offset</div><div class="ttdef"><b>Definition:</b> <a href="sat_2linear__constraint_8h_source.html#l00091">sat/linear_constraint.h:91</a></div></div>
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