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<a href="sat_2table_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2018 Google LLC</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="table_8h.html">ortools/sat/table.h</a>&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;memory&gt;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;set&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_set.h&quot;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;absl/strings/str_cat.h&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;absl/strings/str_join.h&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="int__type_8h.html">ortools/base/int_type.h</a>&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<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 name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<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 name="l00030"></a><span class="lineno"> 30</span>&#160;<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 name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat_2util_8h.html">ortools/sat/util.h</a>&quot;</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sorted__interval__list_8h.html">ortools/util/sorted_interval_list.h</a>&quot;</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="keyword">namespace </span>sat {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="comment">// Converts the vector representation returned by FullDomainEncoding() to a map.</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;absl::flat_hash_map&lt;IntegerValue, Literal&gt; GetEncoding(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; absl::flat_hash_map&lt;IntegerValue, Literal&gt; encoding;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; IntegerEncoder* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;IntegerEncoder&gt;();</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; entry : encoder-&gt;FullDomainEncoding(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; encoding[entry.value] = entry.literal;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; }</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keywordflow">return</span> encoding;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;}</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="comment">// Add the implications and clauses to link one column of a table to the Literal</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="comment">// controling if the lines are possible or not. The column has the given values,</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment">// and the Literal of the column variable can be retrieved using the encoding</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment">// map. Thew tuples_with_any vector provides a list of line_literals that will</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment">// support any value.</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="keywordtype">void</span> ProcessOneColumn(</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; line_literals,</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerValue&gt;&amp; values,</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keyword">const</span> absl::flat_hash_map&lt;IntegerValue, Literal&gt;&amp; encoding,</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; tuples_with_any, Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(line_literals.size(), values.size());</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; std::vector&lt;std::pair&lt;IntegerValue, Literal&gt;&gt; pairs;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="comment">// If a value is false (i.e not possible), then the tuple with this value</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="comment">// is false too (i.e not possible). Conversely, if the tuple is selected,</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="comment">// the value must be selected.</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; values.size(); ++i) {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">const</span> IntegerValue v = values[i];</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">if</span> (!encoding.contains(v)) {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>({line_literals[i].Negated()}));</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; pairs.emplace_back(v, line_literals[i]);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872">Implication</a>(line_literals[i], <a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(encoding, v)));</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; }</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// Regroup literal with the same value and add for each the clause: If all the</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="comment">// tuples containing a value are false, then this value must be false too.</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; std::sort(pairs.begin(), pairs.end());</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; std::vector&lt;Literal&gt; clause = tuples_with_any;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; pairs.size();) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="comment">// We always keep the tuples_with_any at the beginning of the clause.</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; clause.resize(tuples_with_any.size());</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keyword">const</span> IntegerValue <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = pairs[i].first;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">for</span> (; i &lt; pairs.size() &amp;&amp; pairs[i].first == <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>; ++i) {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; clause.push_back(pairs[i].second);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="comment">// And the &quot;value&quot; literal and load the clause.</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; clause.push_back(<a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(encoding, <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>).Negated());</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(clause));</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;}</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="comment">// Simpler encoding for table constraints with 2 variables.</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="keywordtype">void</span> AddSizeTwoTable(</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; absl::Span&lt;const IntegerVariable&gt; vars,</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;int64&gt;&gt;&amp; tuples,</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keyword">const</span> std::vector&lt;absl::flat_hash_set&lt;int64&gt;&gt;&amp; values_per_var,</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> n = vars.size();</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(n, 2);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; IntegerTrail* <span class="keyword">const</span> integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;IntegerTrail&gt;();</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; std::vector&lt;absl::flat_hash_map&lt;IntegerValue, Literal&gt;&gt; encodings(n);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">const</span> std::vector&lt;int64&gt; reached_values(values_per_var[i].begin(),</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; values_per_var[i].end());</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; integer_trail-&gt;UpdateInitialDomain(vars[i],</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <a class="code" href="classoperations__research_1_1_domain.html#a323893786ccc452af69697e1c8564ed3">Domain::FromValues</a>(reached_values));</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">if</span> (values_per_var.size() &gt; 1) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a4ae75bf9ab807bf21ce2caebb7321be0">FullyEncodeVariable</a>(vars[i]));</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; encodings[i] = GetEncoding(vars[i], <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; }</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; }</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="comment">// One variable is fixed. Propagation is complete.</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordflow">if</span> (values_per_var[0].size() == 1 || values_per_var[1].size() == 1) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; std::map&lt;LiteralIndex, std::vector&lt;Literal&gt;&gt; left_to_right;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; std::map&lt;LiteralIndex, std::vector&lt;Literal&gt;&gt; right_to_left;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; tuple : tuples) {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keyword">const</span> IntegerValue left_value(tuple[0]);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keyword">const</span> IntegerValue right_value(tuple[1]);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keywordflow">if</span> (!encodings[0].contains(left_value) ||</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; !encodings[1].contains(right_value)) {</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; }</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keyword">const</span> Literal left = <a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(encodings[0], left_value);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keyword">const</span> Literal right = <a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(encodings[1], right_value);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; left_to_right[left.Index()].push_back(right);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; right_to_left[right.Index()].push_back(left);</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; }</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keywordtype">int</span> num_implications = 0;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordtype">int</span> num_clause_added = 0;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordtype">int</span> num_large_clause_added = 0;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; std::vector&lt;Literal&gt; clause;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="keyword">auto</span> add_support_constraint =</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; [<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, &amp;num_clause_added, &amp;num_large_clause_added, &amp;num_implications,</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; &amp;clause](LiteralIndex lit, <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; supports,</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordtype">int</span> max_support_size) {</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordflow">if</span> (supports.size() == max_support_size) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keywordflow">if</span> (supports.size() == 1) {</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872">Implication</a>(Literal(lit), supports.front()));</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; num_implications++;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; clause.assign(supports.begin(), supports.end());</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; clause.push_back(Literal(lit).Negated());</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(clause));</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; num_clause_added++;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keywordflow">if</span> (supports.size() &gt; max_support_size / 2) {</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; num_large_clause_added++;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; }</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; };</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; it : left_to_right) {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; add_support_constraint(it.first, it.second, values_per_var[1].size());</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; }</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; it : right_to_left) {</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; add_support_constraint(it.first, it.second, values_per_var[0].size());</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; }</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot;Table: 2 variables, &quot;</span> &lt;&lt; tuples.size() &lt;&lt; <span class="stringliteral">&quot; tuples encoded using &quot;</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; &lt;&lt; num_clause_added &lt;&lt; <span class="stringliteral">&quot; clauses, &quot;</span> &lt;&lt; num_large_clause_added</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; &lt;&lt; <span class="stringliteral">&quot; large clauses, &quot;</span> &lt;&lt; num_implications &lt;&lt; <span class="stringliteral">&quot; implications&quot;</span>;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;}</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="comment">// This method heuristically explores subsets of variables and decide if the</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="comment">// projection of all tuples nearly fills all the possible combination of</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="comment">// projected variables domains.</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;<span class="comment">// In that case, it creates the complement of the projected tuples and add that</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="comment">// as a forbidden assignment constraint.</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;<span class="keywordtype">void</span> ExploreSubsetOfVariablesAndAddNegatedTables(</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;int64&gt;&gt;&amp; tuples,</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;int64&gt;&gt;&amp; var_domains,</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; absl::Span&lt;const IntegerVariable&gt; vars, Model* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_vars = var_domains.size();</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> start = 0; start &lt; num_vars; ++start) {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> limit = start == 0 ? num_vars : <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(num_vars, start + 3);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> end = start + 1; end &lt; limit; ++end) {</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="comment">// TODO(user,user): If we add negated table for more than one value of</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="comment">// end, because the set of variables will be included in each other, we</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <span class="comment">// could reduce the number of clauses added. I.e if we excluded</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="comment">// (x=2, y=3) there is no need to exclude any of the tuples</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="comment">// (x=2, y=3, z=*).</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="comment">// Compute the maximum number of such prefix tuples.</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> max_num_prefix_tuples = 1;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = start; i &lt;= end; ++i) {</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; max_num_prefix_tuples =</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(max_num_prefix_tuples, var_domains[i].size());</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; }</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="comment">// Abort early.</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="keywordflow">if</span> (max_num_prefix_tuples &gt; 2 * tuples.size()) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; absl::flat_hash_set&lt;absl::Span&lt;const int64&gt;&gt; prefixes;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keywordtype">bool</span> skip = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; tuple : tuples) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; prefixes.insert(absl::MakeSpan(&amp;tuple[start], end - start + 1));</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keywordflow">if</span> (prefixes.size() == max_num_prefix_tuples) {</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="comment">// Nothing to add with this range [start..end].</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; skip = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; }</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <span class="keywordflow">if</span> (skip) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_prefix_tuples = prefixes.size();</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; </div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; std::vector&lt;std::vector&lt;int64&gt;&gt; negated_tuples;</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="keywordtype">int</span> created = 0;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keywordflow">if</span> (num_prefix_tuples &lt; max_num_prefix_tuples &amp;&amp;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; max_num_prefix_tuples &lt; num_prefix_tuples * 2) {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; std::vector&lt;int64&gt; tmp_tuple;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; max_num_prefix_tuples; ++i) {</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; tmp_tuple.clear();</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = i;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = start; j &lt;= end; ++j) {</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; tmp_tuple.push_back(var_domains[j][<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> % var_domains[j].size()]);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> /= var_domains[j].size();</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="keywordflow">if</span> (!prefixes.contains(tmp_tuple)) {</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; negated_tuples.push_back(tmp_tuple);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; created++;</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; }</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aa933cec72d7d701242cfd600daa4a172">AddNegatedTableConstraint</a>(vars.subspan(start, end - start + 1),</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; negated_tuples, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <span class="stringliteral">&quot; add negated tables with &quot;</span> &lt;&lt; created</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; &lt;&lt; <span class="stringliteral">&quot; tuples on the range [&quot;</span> &lt;&lt; start &lt;&lt; <span class="stringliteral">&quot;,&quot;</span> &lt;&lt; end &lt;&lt; <span class="stringliteral">&quot;]&quot;</span>;</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; }</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; }</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; }</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;}</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;} <span class="comment">// namespace</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; </div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="comment">// Makes a static decomposition of a table constraint into clauses.</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="comment">// This uses an auxiliary vector of Literals tuple_literals.</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="comment">// For every column col, and every value val of that column,</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="comment">// the decomposition uses clauses corresponding to the equivalence:</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="comment">// (\/_{row | tuples[row][col] = val} tuple_literals[row]) &lt;=&gt; (vars[col] = val)</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a54ff6ea10d4aafe131b6bfa4176b334a"> 248</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a54ff6ea10d4aafe131b6bfa4176b334a">AddTableConstraint</a>(absl::Span&lt;const IntegerVariable&gt; vars,</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; std::vector&lt;std::vector&lt;int64&gt;&gt; tuples, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> n = vars.size();</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_original_tuples = tuples.size();</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; </div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="comment">// Compute the set of possible values for each variable (from the table).</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="comment">// Remove invalid tuples along the way.</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; std::vector&lt;absl::flat_hash_set&lt;int64&gt;&gt; values_per_var(n);</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = 0;</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> tuple_index = 0; tuple_index &lt; num_original_tuples; ++tuple_index) {</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="keywordtype">bool</span> keep = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = tuples[tuple_index][i];</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keywordflow">if</span> (!values_per_var[i].contains(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>) <span class="comment">/* cached */</span> &amp;&amp;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; !integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">InitialVariableDomain</a>(vars[i]).<a class="code" href="classoperations__research_1_1_domain.html#ab5228a93ebd3b866fc792ad8e5fe8fdc">Contains</a>(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>)) {</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; keep = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; }</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; }</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="keywordflow">if</span> (keep) {</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; std::swap(tuples[tuple_index], tuples[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>]);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; values_per_var[i].insert(tuples[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>][i]);</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; }</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>++;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; }</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; }</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; tuples.resize(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_valid_tuples = tuples.size();</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; </div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="keywordflow">if</span> (tuples.empty()) {</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>&gt;()-&gt;NotifyThatModelIsUnsat();</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; }</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="keywordflow">if</span> (n == 2) {</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; AddSizeTwoTable(vars, tuples, values_per_var, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; }</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="comment">// It is easier to compute this before compression, as compression will merge</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="comment">// tuples.</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <span class="keywordtype">int</span> num_prefix_tuples = 0;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; {</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; absl::flat_hash_set&lt;absl::Span&lt;const int64&gt;&gt; prefixes;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; tuple : tuples) {</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; prefixes.insert(absl::MakeSpan(tuple.data(), n - 1));</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; num_prefix_tuples = prefixes.size();</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; }</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; std::vector&lt;std::vector&lt;int64&gt;&gt; var_domains(n);</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; ++j) {</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; var_domains[j].assign(values_per_var[j].begin(), values_per_var[j].end());</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; std::sort(var_domains[j].begin(), var_domains[j].end());</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; }</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; <a class="code" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(vars.size(), 2);</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; ExploreSubsetOfVariablesAndAddNegatedTables(tuples, var_domains, vars, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="comment">// The variable domains have been computed. Fully encode variables.</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <span class="comment">// Note that in some corner cases (like duplicate vars), as we call</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="comment">// UpdateInitialDomain(), the domain of other variable could become more</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <span class="comment">// restricted that values_per_var. For now, we do not try to reach a fixed</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// point here.</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; std::vector&lt;absl::flat_hash_map&lt;IntegerValue, Literal&gt;&gt; encodings(n);</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="keyword">const</span> std::vector&lt;int64&gt; reached_values(values_per_var[i].begin(),</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; values_per_var[i].end());</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af931801f592e954a6623cab8cf9a4485">UpdateInitialDomain</a>(vars[i],</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <a class="code" href="classoperations__research_1_1_domain.html#a323893786ccc452af69697e1c8564ed3">Domain::FromValues</a>(reached_values));</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="keywordflow">if</span> (values_per_var.size() &gt; 1) {</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a4ae75bf9ab807bf21ce2caebb7321be0">FullyEncodeVariable</a>(vars[i]));</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; encodings[i] = GetEncoding(vars[i], <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; }</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; }</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; </div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="comment">// Compress tuples.</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> any_value = <a class="code" href="integral__types_8h.html#af458164b470cbba416d5ed579e00ff60">kint64min</a>;</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; std::vector&lt;int64&gt; domain_sizes;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; domain_sizes.push_back(values_per_var[i].size());</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; }</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#af71bcddf81b886f6c4700c212bacae64">CompressTuples</a>(domain_sizes, any_value, &amp;tuples);</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_compressed_tuples = tuples.size();</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; </div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="comment">// Detect if prefix tuples are all different.</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keyword">const</span> <span class="keywordtype">bool</span> prefixes_are_all_different = num_prefix_tuples == num_valid_tuples;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="vlog__is__on_8h.html#a956152cad330225654d128f35c00efce">VLOG_IS_ON</a>(2)) {</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="comment">// Compute the maximum number of prefix tuples.</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> max_num_prefix_tuples = 1;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i + 1 &lt; n; ++i) {</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; max_num_prefix_tuples =</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; <a class="code" href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">CapProd</a>(max_num_prefix_tuples, values_per_var[i].size());</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; }</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; </div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; std::string <a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a> = absl::StrCat(</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; <span class="stringliteral">&quot;Table: &quot;</span>, n, <span class="stringliteral">&quot; variables, original tuples = &quot;</span>, num_original_tuples);</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; <span class="keywordflow">if</span> (num_valid_tuples != num_original_tuples) {</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; absl::StrAppend(&amp;<a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a>, <span class="stringliteral">&quot;, valid tuples = &quot;</span>, num_valid_tuples);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; }</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; <span class="keywordflow">if</span> (prefixes_are_all_different) {</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <span class="keywordflow">if</span> (num_prefix_tuples &lt; max_num_prefix_tuples) {</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; absl::StrAppend(&amp;<a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a>, <span class="stringliteral">&quot;, partial prefix = &quot;</span>, num_prefix_tuples, <span class="stringliteral">&quot;/&quot;</span>,</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; max_num_prefix_tuples);</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; absl::StrAppend(&amp;<a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a>, <span class="stringliteral">&quot;, full prefix = true&quot;</span>);</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; }</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; absl::StrAppend(&amp;<a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a>, <span class="stringliteral">&quot;, num prefix tuples = &quot;</span>, num_prefix_tuples);</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; }</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; <span class="keywordflow">if</span> (num_compressed_tuples != num_valid_tuples) {</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; absl::StrAppend(&amp;<a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a>,</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; <span class="stringliteral">&quot;, compressed tuples = &quot;</span>, num_compressed_tuples);</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; }</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) &lt;&lt; <a class="code" href="trace_8cc.html#a36bd74109f547f7f8198faf5a12d2879">message</a>;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; }</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; <span class="keywordflow">if</span> (tuples.size() == 1) {</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160; <span class="comment">// Nothing more to do.</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; }</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; </div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <span class="comment">// Create one Boolean variable per tuple to indicate if it can still be</span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; <span class="comment">// selected or not. Note that we don&#39;t enforce exactly one tuple to be</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="comment">// selected because these variables are just used by this constraint, so</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="comment">// only the information &quot;can&#39;t be selected&quot; is important.</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; <span class="comment">// TODO(user): If a value in one column is unique, we don&#39;t need to</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; <span class="comment">// create a new BooleanVariable corresponding to this line since we can use</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="comment">// the one corresponding to this value in that column.</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160; <span class="comment">// Note that if there is just one tuple, there is no need to create such</span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; <span class="comment">// variables since they are not used.</span></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; std::vector&lt;Literal&gt; tuple_literals;</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; tuple_literals.reserve(tuples.size());</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; <span class="keywordflow">if</span> (tuples.size() == 2) {</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; tuple_literals.emplace_back(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; tuple_literals.emplace_back(tuple_literals[0].Negated());</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tuples.size() &gt; 2) {</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; tuples.size(); ++i) {</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; tuple_literals.emplace_back(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; }</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(tuple_literals));</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; }</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; </div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; std::vector&lt;Literal&gt; active_tuple_literals;</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; std::vector&lt;IntegerValue&gt; active_values;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; std::vector&lt;Literal&gt; any_tuple_literals;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="keywordflow">if</span> (values_per_var[i].size() == 1) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; </div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; active_tuple_literals.clear();</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; active_values.clear();</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; any_tuple_literals.clear();</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; tuple_literals.size(); ++j) {</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> v = tuples[j][i];</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; </div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; <span class="keywordflow">if</span> (v == any_value) {</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; any_tuple_literals.push_back(tuple_literals[j]);</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; active_tuple_literals.push_back(tuple_literals[j]);</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; active_values.push_back(IntegerValue(v));</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; }</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; }</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; </div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; <span class="keywordflow">if</span> (!active_tuple_literals.empty()) {</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; ProcessOneColumn(active_tuple_literals, active_values, encodings[i],</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; any_tuple_literals, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; }</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; }</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; <span class="keywordflow">if</span> (prefixes_are_all_different) {</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="comment">// The first n-1 columns are all different, this encodes the implication</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; <span class="comment">// table (tuple of size n - 1) implies value. We can add an optional</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; <span class="comment">// propagation that should lead to better explanation.</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160; <span class="comment">// For each tuple, we add a clause prefix =&gt; last value.</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; std::vector&lt;Literal&gt; clause;</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; tuples.size(); ++j) {</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; clause.clear();</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="keywordtype">bool</span> tuple_is_valid = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i + 1 &lt; n; ++i) {</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; <span class="comment">// Ignore fixed variables.</span></div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="keywordflow">if</span> (values_per_var[i].size() == 1) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; </div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> v = tuples[j][i];</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; <span class="comment">// Ignored &#39;any&#39; created during compression.</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="keywordflow">if</span> (v == any_value) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; </div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <span class="keyword">const</span> IntegerValue <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>(v);</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <span class="keywordflow">if</span> (!encodings[i].contains(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>)) {</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; tuple_is_valid = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; }</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; clause.push_back(<a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(encodings[i], <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>).Negated());</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; }</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="keywordflow">if</span> (!tuple_is_valid) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; </div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="comment">// Add the target of the implication.</span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; <span class="keyword">const</span> IntegerValue target_value = IntegerValue(tuples[j][n - 1]);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; <span class="keywordflow">if</span> (!encodings[n - 1].contains(target_value)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> target_literal =</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; <a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(encodings[n - 1], target_value);</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; clause.push_back(target_literal);</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(clause));</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; }</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; }</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;}</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; </div>
<div class="line"><a name="l00457"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aa933cec72d7d701242cfd600daa4a172"> 457</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa933cec72d7d701242cfd600daa4a172">AddNegatedTableConstraint</a>(absl::Span&lt;const IntegerVariable&gt; vars,</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; std::vector&lt;std::vector&lt;int64&gt;&gt; tuples,</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> n = vars.size();</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; <span class="keyword">auto</span>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="keyword">auto</span>* integer_encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; </div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <span class="comment">// Remove unreachable tuples.</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = 0;</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; <span class="keywordflow">while</span> (<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &lt; tuples.size()) {</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160; <span class="keywordtype">bool</span> remove = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160; <span class="keywordflow">if</span> (!integer_trail-&gt;InitialVariableDomain(vars[i]).Contains(</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; tuples[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>][i])) {</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160; remove = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160; }</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; }</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; <span class="keywordflow">if</span> (remove) {</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; tuples[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>] = tuples.back();</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; tuples.pop_back();</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>++;</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; }</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; }</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; </div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <span class="keywordflow">if</span> (tuples.empty()) {</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; }</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; </div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; <span class="comment">// Compress tuples.</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> any_value = <a class="code" href="integral__types_8h.html#af458164b470cbba416d5ed579e00ff60">kint64min</a>;</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; std::vector&lt;int64&gt; domain_sizes;</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; domain_sizes.push_back(</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; integer_trail-&gt;InitialVariableDomain(vars[i]).Size());</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; }</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#af71bcddf81b886f6c4700c212bacae64">CompressTuples</a>(domain_sizes, any_value, &amp;tuples);</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; </div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; <span class="comment">// Collect all relevant var == value literal.</span></div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; std::vector&lt;absl::flat_hash_map&lt;int64, Literal&gt;&gt; mapping(n);</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> pair : integer_encoder-&gt;PartialDomainEncoding(vars[i])) {</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; mapping[i][pair.value.value()] = pair.literal;</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; }</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; }</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; </div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160; <span class="comment">// For each tuple, forbid the variables values to be this tuple.</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; std::vector&lt;Literal&gt; clause;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; tuple : tuples) {</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; <span class="keywordtype">bool</span> add_tuple = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; clause.clear();</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = tuple[i];</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> == any_value) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; </div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; <span class="comment">// If a literal associated to var == value exist, use it, otherwise</span></div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; <span class="comment">// just use (and eventually create) the two literals var &gt;= value + 1</span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <span class="comment">// and var &lt;= value - 1.</span></div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; <span class="keywordflow">if</span> (mapping[i].contains(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>)) {</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; clause.push_back(<a class="code" href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a>(mapping[i], <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>).Negated());</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> lb = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code" href="namespaceoperations__research_1_1sat.html#a1000a311929a470e5485258d765eeabd">LowerBound</a>(vars[i]));</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> ub = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code" href="namespaceoperations__research_1_1sat.html#a950da19798dc78760bff02703c431692">UpperBound</a>(vars[i]));</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; </div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; <span class="comment">// TODO(user): test the full initial domain instead of just checking</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; <span class="comment">// the bounds. That shouldn&#39;t change too much since the literals added</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; <span class="comment">// below will be trivially true or false though.</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="keywordflow">if</span> (value &lt; lb || value &gt; ub) {</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; add_tuple = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; }</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> &gt; lb) {</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; clause.push_back(integer_encoder-&gt;GetOrCreateAssociatedLiteral(</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(vars[i], IntegerValue(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> - 1))));</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160; }</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> &lt; ub) {</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; clause.push_back(integer_encoder-&gt;GetOrCreateAssociatedLiteral(</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(vars[i],</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; IntegerValue(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> + 1))));</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; }</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; }</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160; }</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160; <span class="keywordflow">if</span> (add_tuple) <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(clause));</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; }</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160;}</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; </div>
<div class="line"><a name="l00544"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a67988a71dd5421e1605b8c71bcf4b4cd"> 544</a></span>&#160;std::function&lt;void(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a67988a71dd5421e1605b8c71bcf4b4cd">LiteralTableConstraint</a>(</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;Literal&gt;&gt;&amp; literal_tuples,</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; line_literals) {</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="keywordflow">return</span> [=](<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(literal_tuples.size(), line_literals.size());</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> num_tuples = line_literals.size();</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="keywordflow">if</span> (num_tuples == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> tuple_size = literal_tuples[0].size();</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; <span class="keywordflow">if</span> (tuple_size == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; num_tuples; ++i) {</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(tuple_size, literal_tuples[i].size());</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; }</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; absl::flat_hash_map&lt;LiteralIndex, std::vector&lt;LiteralIndex&gt;&gt;</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; line_literals_per_literal;</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_tuples; ++i) {</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; <span class="keyword">const</span> LiteralIndex selected_index = line_literals[i].Index();</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : literal_tuples[i]) {</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; line_literals_per_literal[l.Index()].push_back(selected_index);</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; }</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; }</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; </div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; <span class="comment">// line_literals[i] == true =&gt; literal_tuples[i][j] == true.</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <span class="comment">// literal_tuples[i][j] == false =&gt; line_literals[i] == false.</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_tuples; ++i) {</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> line_is_selected = line_literals[i];</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit : literal_tuples[i]) {</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872">Implication</a>(line_is_selected, lit));</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; }</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; }</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; </div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <span class="comment">// Exactly one selected literal is true.</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">ExactlyOneConstraint</a>(line_literals));</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; </div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; <span class="comment">// If all selected literals of the lines containing a literal are false,</span></div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; <span class="comment">// then the literal is false.</span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; p : line_literals_per_literal) {</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; std::vector&lt;Literal&gt; clause;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> : p.second) {</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160; clause.push_back(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>));</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; }</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; clause.push_back(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(p.first).<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">ClauseConstraint</a>(clause));</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; }</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; };</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160;}</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; </div>
<div class="line"><a name="l00591"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a31ce182acd5d18c1cca240566d510666"> 591</a></span>&#160;std::function&lt;void(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a31ce182acd5d18c1cca240566d510666">TransitionConstraint</a>(</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160; <span class="keyword">const</span> std::vector&lt;std::vector&lt;int64&gt;&gt;&amp; automaton, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> initial_state,</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <span class="keyword">const</span> std::vector&lt;int64&gt;&amp; final_states) {</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <span class="keywordflow">return</span> [=](<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> n = vars.size();</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; <a class="code" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(n, 0) &lt;&lt; <span class="stringliteral">&quot;No variables in TransitionConstraint().&quot;</span>;</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; </div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <span class="comment">// Test precondition.</span></div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; {</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160; std::set&lt;std::pair&lt;int64, int64&gt;&gt; unique_transition_checker;</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; transition : automaton) {</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(transition.size(), 3);</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; <span class="keyword">const</span> std::pair&lt;int64, int64&gt; p{transition[0], transition[1]};</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(unique_transition_checker, p))</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; &lt;&lt; <span class="stringliteral">&quot;Duplicate outgoing transitions with value &quot;</span> &lt;&lt; transition[1]</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; &lt;&lt; <span class="stringliteral">&quot; from state &quot;</span> &lt;&lt; transition[0] &lt;&lt; <span class="stringliteral">&quot;.&quot;</span>;</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160; unique_transition_checker.insert(p);</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160; }</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; }</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; </div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; <span class="comment">// Construct a table with the possible values of each vars.</span></div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; std::vector&lt;absl::flat_hash_set&lt;int64&gt;&gt; possible_values(n);</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> = 0; <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> &lt; n; ++<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>) {</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> domain = integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">InitialVariableDomain</a>(vars[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>]);</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; transition : automaton) {</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; <span class="comment">// TODO(user): quadratic algo, improve!</span></div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160; <span class="keywordflow">if</span> (domain.Contains(transition[1])) {</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; possible_values[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>].insert(transition[1]);</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; }</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; }</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; }</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; </div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; <span class="comment">// Compute the set of reachable state at each time point.</span></div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; std::vector&lt;std::set&lt;int64&gt;&gt; reachable_states(n + 1);</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; reachable_states[0].insert(initial_state);</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; reachable_states[n] = {final_states.begin(), final_states.end()};</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; </div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160; <span class="comment">// Forward.</span></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; <span class="comment">// TODO(user): filter using the domain of vars[time] that may not contain</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; <span class="comment">// all the possible transitions.</span></div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> = 0; <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> + 1 &lt; n; ++<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>) {</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; transition : automaton) {</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], transition[0])) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(possible_values[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], transition[1])) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160; reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> + 1].insert(transition[2]);</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; }</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; }</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; </div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <span class="comment">// Backward.</span></div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> = n - 1; <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> &gt; 0; --<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>) {</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; std::set&lt;int64&gt; new_set;</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; transition : automaton) {</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], transition[0])) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(possible_values[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], transition[1])) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> + 1], transition[2]))</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; new_set.insert(transition[0]);</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160; }</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>].swap(new_set);</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; }</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; </div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; <span class="comment">// We will model at each time step the current automaton state using Boolean</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; <span class="comment">// variables. We will have n+1 time step. At time zero, we start in the</span></div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <span class="comment">// initial state, and at time n we should be in one of the final states. We</span></div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; <span class="comment">// don&#39;t need to create Booleans at at time when there is just one possible</span></div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <span class="comment">// state (like at time zero).</span></div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; absl::flat_hash_map&lt;IntegerValue, Literal&gt; encoding;</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; absl::flat_hash_map&lt;IntegerValue, Literal&gt; in_encoding;</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; absl::flat_hash_map&lt;IntegerValue, Literal&gt; out_encoding;</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> = 0; <a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> &lt; n; ++<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>) {</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160; <span class="comment">// All these vector have the same size. We will use them to enforce a</span></div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="comment">// local table constraint representing one step of the automaton at the</span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <span class="comment">// given time.</span></div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; std::vector&lt;Literal&gt; tuple_literals;</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; std::vector&lt;IntegerValue&gt; in_states;</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; std::vector&lt;IntegerValue&gt; transition_values;</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160; std::vector&lt;IntegerValue&gt; out_states;</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> std::vector&lt;int64&gt;&amp; transition : automaton) {</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], transition[0])) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(possible_values[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], transition[1])) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(reachable_states[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> + 1], transition[2]))</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; </div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; <span class="comment">// TODO(user): if this transition correspond to just one in-state or</span></div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; <span class="comment">// one-out state or one variable value, we could reuse the corresponding</span></div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; <span class="comment">// Boolean variable instead of creating a new one!</span></div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; tuple_literals.push_back(</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>));</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; in_states.push_back(IntegerValue(transition[0]));</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; </div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; transition_values.push_back(IntegerValue(transition[1]));</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; </div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; <span class="comment">// On the last step we don&#39;t need to distinguish the output states, so</span></div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <span class="comment">// we use zero.</span></div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; out_states.push_back(<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a> + 1 == n ? IntegerValue(0)</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; : IntegerValue(transition[2]));</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; }</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; </div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160; <span class="comment">// Fully instantiate vars[time].</span></div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; <span class="comment">// Tricky: because we started adding constraints that can propagate, the</span></div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; <span class="comment">// possible values returned by encoding might not contains all the value</span></div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160; <span class="comment">// computed in transition_values.</span></div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160; {</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; std::vector&lt;IntegerValue&gt; s = transition_values;</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160; <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&amp;s);</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; </div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160; encoding.clear();</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; <span class="keywordflow">if</span> (s.size() &gt; 1) {</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; std::vector&lt;int64&gt; values;</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160; values.reserve(s.size());</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; <span class="keywordflow">for</span> (IntegerValue v : s) values.push_back(v.value());</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af931801f592e954a6623cab8cf9a4485">UpdateInitialDomain</a>(vars[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>],</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; <a class="code" href="classoperations__research_1_1_domain.html#a323893786ccc452af69697e1c8564ed3">Domain::FromValues</a>(values));</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a4ae75bf9ab807bf21ce2caebb7321be0">FullyEncodeVariable</a>(vars[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>]));</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; encoding = GetEncoding(vars[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <span class="comment">// Fix vars[time] to its unique possible value.</span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(s.size(), 1);</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160; <span class="keyword">const</span> <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> unique_value = s.begin()-&gt;value();</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#ad48b274dddb22fb445d5ab6edbf222df">LowerOrEqual</a>(vars[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], unique_value));</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#acb6021b325a62a7c9bd759f52111a887">GreaterOrEqual</a>(vars[<a class="code" href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a>], unique_value));</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; }</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; }</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160; </div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160; <span class="comment">// For each possible out states, create one Boolean variable.</span></div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; {</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; std::vector&lt;IntegerValue&gt; s = out_states;</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; <a class="code" href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a>(&amp;s);</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; </div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160; out_encoding.clear();</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; <span class="keywordflow">if</span> (s.size() == 2) {</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="keyword">const</span> BooleanVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>());</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; out_encoding[s.front()] = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">true</span>);</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; out_encoding[s.back()] = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keyword">false</span>);</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s.size() &gt; 1) {</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerValue state : s) {</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>()), <span class="keyword">true</span>);</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160; out_encoding[state] = l;</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; }</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; }</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; }</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; </div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="comment">// Now we link everything together.</span></div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; <span class="comment">// Note that we do not need the ExactlyOneConstraint(tuple_literals)</span></div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160; <span class="comment">// because it is already implicitely encoded since we have exactly one</span></div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; <span class="comment">// transition value.</span></div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; <span class="keywordflow">if</span> (!in_encoding.empty()) {</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; ProcessOneColumn(tuple_literals, in_states, in_encoding, {}, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; }</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; <span class="keywordflow">if</span> (!encoding.empty()) {</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160; ProcessOneColumn(tuple_literals, transition_values, encoding, {},</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; }</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160; <span class="keywordflow">if</span> (!out_encoding.empty()) {</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160; ProcessOneColumn(tuple_literals, out_states, out_encoding, {}, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; }</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; in_encoding = out_encoding;</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; }</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160; };</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160;}</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; </div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160;} <span class="comment">// namespace sat</span></div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160;} <span class="comment">// namespace operations_research</span></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a021e695f54a13bd809c34b2f4ca87c37"><div class="ttname"><a href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a></div><div class="ttdeci">int64 min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00138">alldiff_cst.cc:138</a></div></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00495">base/logging.h:495</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00697">base/logging.h:697</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7e03ec13560fa94a8fea569960d7efc6"><div class="ttname"><a href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a></div><div class="ttdeci">#define CHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00702">base/logging.h:702</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00978">base/logging.h:978</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_domain_html_a323893786ccc452af69697e1c8564ed3"><div class="ttname"><a href="classoperations__research_1_1_domain.html#a323893786ccc452af69697e1c8564ed3">operations_research::Domain::FromValues</a></div><div class="ttdeci">static Domain FromValues(std::vector&lt; int64 &gt; values)</div><div class="ttdoc">Creates a domain from the union of an unsorted list of integer values.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00138">sorted_interval_list.cc:138</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_domain_html_ab5228a93ebd3b866fc792ad8e5fe8fdc"><div class="ttname"><a href="classoperations__research_1_1_domain.html#ab5228a93ebd3b866fc792ad8e5fe8fdc">operations_research::Domain::Contains</a></div><div class="ttdeci">bool Contains(int64 value) const</div><div class="ttdoc">Returns true iff value is in Domain.</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8cc_source.html#l00222">sorted_interval_list.cc:222</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_encoder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html">operations_research::sat::IntegerEncoder</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00276">integer.h:276</a></div></div>
<div class="ttc" id="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#l00540">integer.h:540</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_af4303d31360f06c50729f156b1fbc2a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">operations_research::sat::IntegerTrail::InitialVariableDomain</a></div><div class="ttdeci">const Domain &amp; InitialVariableDomain(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00644">integer.cc:644</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_af931801f592e954a6623cab8cf9a4485"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#af931801f592e954a6623cab8cf9a4485">operations_research::sat::IntegerTrail::UpdateInitialDomain</a></div><div class="ttdeci">bool UpdateInitialDomain(IntegerVariable var, Domain domain)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00648">integer.cc:648</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00064">sat_base.h:64</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00091">sat_base.h:91</a></div></div>
<div class="ttc" id="aclassoperations__research_1_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_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#l00057">sat_solver.h:57</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01858">expr_array.cc:1858</a></div></div>
<div class="ttc" id="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#l00272">gurobi_interface.cc:272</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="aintegral__types_8h_html_a7cde0074dfd288f2d70c0e035dacb28a"><div class="ttname"><a href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a></div><div class="ttdeci">int64_t int64</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00034">integral_types.h:34</a></div></div>
<div class="ttc" id="aintegral__types_8h_html_af458164b470cbba416d5ed579e00ff60"><div class="ttname"><a href="integral__types_8h.html#af458164b470cbba416d5ed579e00ff60">kint64min</a></div><div class="ttdeci">static const int64 kint64min</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00052">integral_types.h:52</a></div></div>
<div class="ttc" id="amap__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
<div class="ttc" id="anamespacegtl_html_a288a1dc92da5d3ad62d4bc4cec9e8b1d"><div class="ttname"><a href="namespacegtl.html#a288a1dc92da5d3ad62d4bc4cec9e8b1d">gtl::STLSortAndRemoveDuplicates</a></div><div class="ttdeci">void STLSortAndRemoveDuplicates(T *v, const LessFunc &amp;less_func)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00058">stl_util.h:58</a></div></div>
<div class="ttc" id="anamespacegtl_html_aae28e97bd1fa93cb0032642550da7455"><div class="ttname"><a href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a></div><div class="ttdeci">bool ContainsKey(const Collection &amp;collection, const Key &amp;key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00170">map_util.h:170</a></div></div>
<div class="ttc" id="anamespacegtl_html_abce27d097bc5680207b294bdad75f59f"><div class="ttname"><a href="namespacegtl.html#abce27d097bc5680207b294bdad75f59f">gtl::FindOrDie</a></div><div class="ttdeci">const Collection::value_type::second_type &amp; FindOrDie(const Collection &amp;collection, const typename Collection::value_type::first_type &amp;key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00176">map_util.h:176</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1000a311929a470e5485258d765eeabd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1000a311929a470e5485258d765eeabd">operations_research::sat::LowerBound</a></div><div class="ttdeci">std::function&lt; int64(const Model &amp;)&gt; LowerBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01467">integer.h:1467</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1655a9b9673e7c4de940ca6e5e3cf936"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1655a9b9673e7c4de940ca6e5e3cf936">operations_research::sat::ClauseConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ClauseConstraint(absl::Span&lt; const Literal &gt; literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00904">sat_solver.h:904</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1b1462c55662c1263c0e1f54ed6e06cd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1b1462c55662c1263c0e1f54ed6e06cd">operations_research::sat::ExactlyOneConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ExactlyOneConstraint(const std::vector&lt; Literal &gt; &amp;literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00876">sat_solver.h:876</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a31ce182acd5d18c1cca240566d510666"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a31ce182acd5d18c1cca240566d510666">operations_research::sat::TransitionConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; TransitionConstraint(const std::vector&lt; IntegerVariable &gt; &amp;vars, const std::vector&lt; std::vector&lt; int64 &gt;&gt; &amp;automaton, int64 initial_state, const std::vector&lt; int64 &gt; &amp;final_states)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2table_8cc_source.html#l00591">sat/table.cc:591</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a38766514ce4824ae1e093a25d7fb43b3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">operations_research::sat::NewBooleanVariable</a></div><div class="ttdeci">std::function&lt; BooleanVariable(Model *)&gt; NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01412">integer.h:1412</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4ae75bf9ab807bf21ce2caebb7321be0"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4ae75bf9ab807bf21ce2caebb7321be0">operations_research::sat::FullyEncodeVariable</a></div><div class="ttdeci">std::function&lt; std::vector&lt; IntegerEncoder::ValueLiteralPair &gt;Model *)&gt; FullyEncodeVariable(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01587">integer.h:1587</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a54ff6ea10d4aafe131b6bfa4176b334a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a54ff6ea10d4aafe131b6bfa4176b334a">operations_research::sat::AddTableConstraint</a></div><div class="ttdeci">void AddTableConstraint(absl::Span&lt; const IntegerVariable &gt; vars, std::vector&lt; std::vector&lt; int64 &gt;&gt; tuples, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2table_8cc_source.html#l00248">sat/table.cc:248</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a67988a71dd5421e1605b8c71bcf4b4cd"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a67988a71dd5421e1605b8c71bcf4b4cd">operations_research::sat::LiteralTableConstraint</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; LiteralTableConstraint(const std::vector&lt; std::vector&lt; Literal &gt;&gt; &amp;literal_tuples, const std::vector&lt; Literal &gt; &amp;line_literals)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2table_8cc_source.html#l00544">sat/table.cc:544</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a8a0620c105ec05f1b42bcde3a9380872"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872">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#l01537">integer.h:1537</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a950da19798dc78760bff02703c431692"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a950da19798dc78760bff02703c431692">operations_research::sat::UpperBound</a></div><div class="ttdeci">std::function&lt; int64(const Model &amp;)&gt; UpperBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01473">integer.h:1473</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_aa933cec72d7d701242cfd600daa4a172"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa933cec72d7d701242cfd600daa4a172">operations_research::sat::AddNegatedTableConstraint</a></div><div class="ttdeci">void AddNegatedTableConstraint(absl::Span&lt; const IntegerVariable &gt; vars, std::vector&lt; std::vector&lt; int64 &gt;&gt; tuples, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2table_8cc_source.html#l00457">sat/table.cc:457</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acb6021b325a62a7c9bd759f52111a887"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acb6021b325a62a7c9bd759f52111a887">operations_research::sat::GreaterOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; GreaterOrEqual(IntegerVariable v, int64 lb)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01495">integer.h:1495</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ad48b274dddb22fb445d5ab6edbf222df"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ad48b274dddb22fb445d5ab6edbf222df">operations_research::sat::LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; LowerOrEqual(IntegerVariable v, int64 ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01509">integer.h:1509</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_af71bcddf81b886f6c4700c212bacae64"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#af71bcddf81b886f6c4700c212bacae64">operations_research::sat::CompressTuples</a></div><div class="ttdeci">void CompressTuples(absl::Span&lt; const int64 &gt; domain_sizes, int64 any_value, std::vector&lt; std::vector&lt; int64 &gt;&gt; *tuples)</div><div class="ttdef"><b>Definition:</b> <a href="sat_2util_8cc_source.html#l00112">sat/util.cc:112</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html_ab216763dccd16f5060d2fbcfb08173fb"><div class="ttname"><a href="namespaceoperations__research.html#ab216763dccd16f5060d2fbcfb08173fb">operations_research::CapProd</a></div><div class="ttdeci">int64 CapProd(int64 x, int64 y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00231">saturated_arithmetic.h:231</a></div></div>
<div class="ttc" id="apack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00508">pack.cc:508</a></div></div>
<div class="ttc" id="aresource_8cc_html_a13421db7d7e84fff732599bcf954c5cc"><div class="ttname"><a href="resource_8cc.html#a13421db7d7e84fff732599bcf954c5cc">time</a></div><div class="ttdeci">int64 time</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l01683">resource.cc:1683</a></div></div>
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