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<div class="title">integer.h</div> </div>
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<a href="integer_8h.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 2010-2021 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">#ifndef OR_TOOLS_SAT_INTEGER_H_</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#define OR_TOOLS_SAT_INTEGER_H_</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;cstdint&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;deque&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &lt;functional&gt;</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &lt;map&gt;</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &lt;memory&gt;</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &lt;utility&gt;</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#include &quot;absl/base/attributes.h&quot;</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="preprocessor">#include &quot;absl/container/inlined_vector.h&quot;</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#include &quot;absl/strings/str_cat.h&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;absl/types/span.h&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="hash_8h.html">ortools/base/hash.h</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</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="l00034"></a><span class="lineno"> 34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</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="l00036"></a><span class="lineno"> 36</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="macros_8h.html">ortools/base/macros.h</a>&quot;</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</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="l00038"></a><span class="lineno"> 38</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>&quot;</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="iterators_8h.html">ortools/graph/iterators.h</a>&quot;</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>&quot;</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</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="l00042"></a><span class="lineno"> 42</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="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="bitset_8h.html">ortools/util/bitset.h</a>&quot;</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="rev_8h.html">ortools/util/rev.h</a>&quot;</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="saturated__arithmetic_8h.html">ortools/util/saturated_arithmetic.h</a>&quot;</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</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="l00047"></a><span class="lineno"> 47</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="keyword">namespace </span>sat {</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="comment">// Value type of an integer variable. An integer variable is always bounded</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment">// on both sides, and this type is also used to store the bounds [lb, ub] of the</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment">// range of each integer variable.</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment">// Note that both bounds are inclusive, which allows to write many propagation</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="comment">// algorithms for just one of the bound and apply it to the negated variables to</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="comment">// get the symmetric algorithm for the other bound.</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<a class="code" href="namespaceoperations__research_1_1sat.html#a84a0f65f1ec460c487789fe6a7620f77">DEFINE_INT_TYPE</a>(IntegerValue, int64_t);</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment">// The max range of an integer variable is [kMinIntegerValue, kMaxIntegerValue].</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment">// It is symmetric so the set of possible ranges stays the same when we take the</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="comment">// negation of a variable. Moreover, we need some IntegerValue that fall outside</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="comment">// this range on both side so that we can usually take care of integer overflow</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="comment">// by simply doing &quot;saturated arithmetic&quot; and if one of the bound overflow, the</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="comment">// two bounds will &quot;cross&quot; each others and we will get an empty range.</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;constexpr IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>(</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;IntegerValue::ValueType&gt;::max</a>() - 1);</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;constexpr IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>(-<a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1"> 71</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(IntegerValue <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a> = std::numeric_limits&lt;double&gt;::infinity();</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> &gt;= <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> &lt;= <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>) <span class="keywordflow">return</span> -<a class="code" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>;</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">return</span> static_cast&lt;double&gt;(<a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>.value());</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;}</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> IntType&gt;</div><div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050"> 79</a></span>&#160;<span class="keyword">inline</span> IntType <a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(IntType t) {</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">return</span> IntType(std::abs(t.value()));</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;}</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b"> 83</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(IntegerValue dividend,</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; IntegerValue positive_divisor) {</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <a class="code" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(positive_divisor, 0);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keyword">const</span> IntegerValue result = dividend / positive_divisor;</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keyword">const</span> IntegerValue adjust =</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; static_cast&lt;IntegerValue&gt;(result * positive_divisor &lt; dividend);</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keywordflow">return</span> result + adjust;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;}</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;</div><div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813"> 92</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(IntegerValue dividend,</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; IntegerValue positive_divisor) {</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <a class="code" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(positive_divisor, 0);</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keyword">const</span> IntegerValue result = dividend / positive_divisor;</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="keyword">const</span> IntegerValue adjust =</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; static_cast&lt;IntegerValue&gt;(result * positive_divisor &gt; dividend);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keywordflow">return</span> result - adjust;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;}</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="comment">// Returns dividend - FloorRatio(dividend, divisor) * divisor;</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="comment">// This function is around the same speed than the computation above, but it</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="comment">// never causes integer overflow. Note also that when calling FloorRatio() then</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="comment">// PositiveRemainder(), the compiler should optimize the modulo away and just</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="comment">// reuse the one from the first integer division.</span></div><div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a83f714c395df7a814ed067125f567a0d"> 107</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="namespaceoperations__research_1_1sat.html#a83f714c395df7a814ed067125f567a0d">PositiveRemainder</a>(IntegerValue dividend,</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; IntegerValue positive_divisor) {</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <a class="code" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(positive_divisor, 0);</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keyword">const</span> IntegerValue m = dividend % positive_divisor;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">return</span> m &lt; 0 ? m + positive_divisor : m;</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;}</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="comment">// Computes result += a * b, and return false iff there is an overflow.</span></div><div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263"> 115</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">AddProductTo</a>(IntegerValue <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, IntegerValue <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, IntegerValue* result) {</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keyword">const</span> int64_t prod = <a class="code" href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">CapProd</a>(<a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.value(), <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.value());</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keywordflow">if</span> (prod == <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits&lt;int64_t&gt;::min</a>() ||</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; prod == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>())</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keyword">const</span> int64_t add = <a class="code" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(prod, result-&gt;value());</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keywordflow">if</span> (add == <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits&lt;int64_t&gt;::min</a>() ||</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; add == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits&lt;int64_t&gt;::max</a>())</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; *result = IntegerValue(add);</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;}</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="comment">// Index of an IntegerVariable.</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="comment">// Each time we create an IntegerVariable we also create its negation. This is</span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="comment">// done like that so internally we only stores and deal with lower bound. The</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="comment">// upper bound beeing the lower bound of the negated variable.</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<a class="code" href="namespaceoperations__research_1_1sat.html#a84a0f65f1ec460c487789fe6a7620f77">DEFINE_INT_TYPE</a>(IntegerVariable, int32_t);</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="keyword">const</span> IntegerVariable <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>(-1);</div><div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a829dfffce41f532b7ca32665750a1ec2"> 135</a></span>&#160;<span class="keyword">inline</span> IntegerVariable <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(IntegerVariable i) {</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keywordflow">return</span> IntegerVariable(i.value() ^ 1);</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;}</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;</div><div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41"> 139</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(IntegerVariable i) {</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordflow">return</span> (i.value() &amp; 1) == 0;</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;}</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;</div><div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5"> 143</a></span>&#160;<span class="keyword">inline</span> IntegerVariable <a class="code" href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">PositiveVariable</a>(IntegerVariable i) {</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordflow">return</span> IntegerVariable(i.value() &amp; (~1));</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;}</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="comment">// Special type for storing only one thing for var and NegationOf(var).</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<a class="code" href="namespaceoperations__research_1_1sat.html#a84a0f65f1ec460c487789fe6a7620f77">DEFINE_INT_TYPE</a>(PositiveOnlyIndex, int32_t);</div><div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acf09b937c4d7439804c0fc61afcb7008"> 149</a></span>&#160;<span class="keyword">inline</span> PositiveOnlyIndex <a class="code" href="namespaceoperations__research_1_1sat.html#acf09b937c4d7439804c0fc61afcb7008">GetPositiveOnlyIndex</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordflow">return</span> PositiveOnlyIndex(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() / 2);</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;}</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;</div><div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a429d1fd54b5becc39e4cfbc608d7d70a"> 153</a></span>&#160;<span class="keyword">inline</span> std::string <a class="code" href="namespaceoperations__research_1_1sat.html#a429d1fd54b5becc39e4cfbc608d7d70a">IntegerTermDebugString</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; IntegerValue coeff) {</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; coeff = <a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) ? coeff : -coeff;</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keywordflow">return</span> absl::StrCat(coeff.value(), <span class="stringliteral">&quot;*X&quot;</span>, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() / 2);</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;<span class="comment">// Returns the vector of the negated variables.</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;std::vector&lt;IntegerVariable&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp; vars);</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="comment">// The integer equivalent of a literal.</span></div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="comment">// It represents an IntegerVariable and an upper/lower bound on it.</span></div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="comment">// Overflow: all the bounds below kMinIntegerValue and kMaxIntegerValue are</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;<span class="comment">// treated as kMinIntegerValue - 1 and kMaxIntegerValue + 1.</span></div><div class="line"><a name="l00168"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html"> 168</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> {</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <span class="comment">// Because IntegerLiteral should never be created at a bound less constrained</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="comment">// than an existing IntegerVariable bound, we don&#39;t allow GreaterOrEqual() to</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="comment">// have a bound lower than kMinIntegerValue, and LowerOrEqual() to have a</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <span class="comment">// bound greater than kMaxIntegerValue. The other side is not constrained</span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="comment">// to allow for a computed bound to overflow. Note that both the full initial</span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="comment">// domain and the empty domain can always be represented.</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">GreaterOrEqual</a>(IntegerVariable i, IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>);</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">LowerOrEqual</a>(IntegerVariable i, IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>);</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="comment">// These two static integer literals represent an always true and an always</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="comment">// false condition.</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">TrueLiteral</a>();</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keyword">static</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#adbdd6b45455ab6d7e3e32166f40dc3b1">FalseLiteral</a>();</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="comment">// Clients should prefer the static construction methods above.</span></div><div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8"> 184</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">IntegerLiteral</a>() : <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>), <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>(0) {}</div><div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#a316e24dddfb0f41edc01b3849dd36e65"> 185</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a316e24dddfb0f41edc01b3849dd36e65">IntegerLiteral</a>(IntegerVariable v, IntegerValue <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) : <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>(v), <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>(<a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <a class="code" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>);</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <a class="code" href="base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2">DCHECK_LE</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> + 1);</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; }</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;</div><div class="line"><a name="l00190"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#ac532c4b500b1a85ea22217f2c65a70ed"> 190</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ac532c4b500b1a85ea22217f2c65a70ed">IsValid</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>; }</div><div class="line"><a name="l00191"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#aad79ec41294b2b2d63f2fd4aba8fd992"> 191</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aad79ec41294b2b2d63f2fd4aba8fd992">IsTrueLiteral</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> &amp;&amp; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &lt;= 0; }</div><div class="line"><a name="l00192"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#aca2d9fb026e697df91d1980dfcc3c120"> 192</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aca2d9fb026e697df91d1980dfcc3c120">IsFalseLiteral</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> &amp;&amp; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &gt; 0; }</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="comment">// The negation of x &gt;= bound is x &lt;= bound - 1.</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#acdf4fa2b01f966a49e7274343f52dd52">Negated</a>() <span class="keyword">const</span>;</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"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#a2654fc94e491e1e7001ef2b9d8fbe90d"> 197</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a2654fc94e491e1e7001ef2b9d8fbe90d">operator==</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> o)<span class="keyword"> const </span>{</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> &amp;&amp; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>;</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; }</div><div class="line"><a name="l00200"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#ad55a4c10038238295d6a051ba6eb9864"> 200</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ad55a4c10038238295d6a051ba6eb9864">operator!=</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> o)<span class="keyword"> const </span>{</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> != o.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> || <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> != o.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>;</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; }</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;</div><div class="line"><a name="l00204"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#a764be64f3029f8b8e23511061d8de355"> 204</a></span>&#160; std::string <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">VariableIsPositive</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>)</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; ? absl::StrCat(<span class="stringliteral">&quot;I&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>.value() / 2, <span class="stringliteral">&quot;&gt;=&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>.value())</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; : absl::StrCat(<span class="stringliteral">&quot;I&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>.value() / 2, <span class="stringliteral">&quot;&lt;=&quot;</span>, -<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>.value());</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; }</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; <span class="comment">// Note that bound should be in [kMinIntegerValue, kMaxIntegerValue + 1].</span></div><div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214"> 211</a></span>&#160; IntegerVariable <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div><div class="line"><a name="l00212"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775"> 212</a></span>&#160; IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> = IntegerValue(0);</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;</div><div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#acfc5c4be89b150936531ca62394bbbc9"> 215</a></span>&#160;<span class="keyword">inline</span> std::ostream&amp; <a class="code" href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operator&lt;&lt;</a>(std::ostream&amp; os, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit) {</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; os &lt;&lt; i_lit.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>();</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keywordflow">return</span> os;</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;}</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;</div><div class="line"><a name="l00220"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a003e7b51f96dbc816348288532b04b21"> 220</a></span>&#160;<span class="keyword">using</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a003e7b51f96dbc816348288532b04b21">InlinedIntegerLiteralVector</a> = absl::InlinedVector&lt;IntegerLiteral, 2&gt;;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="comment">// Represents [coeff * variable + constant] or just a [constant].</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="comment">// In some places it is useful to manipulate such expression instead of having</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="comment">// to create an extra integer variable. This is mainly used for scheduling</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="comment">// related constraints.</span></div><div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html"> 227</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> {</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="comment">// Helper to construct an AffineExpression.</span></div><div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a3253ab3126f5c0c2db508ca3d185bc76"> 229</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a3253ab3126f5c0c2db508ca3d185bc76">AffineExpression</a>() {}</div><div class="line"><a name="l00230"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5bd9dd701b822296b6c08e8c16fd4331"> 230</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5bd9dd701b822296b6c08e8c16fd4331">AffineExpression</a>(IntegerValue cst) <span class="comment">// NOLINT(runtime/explicit)</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; : <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>(cst) {}</div><div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#afebdcd02275fbb761414876dfa5ed93d"> 232</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#afebdcd02275fbb761414876dfa5ed93d">AffineExpression</a>(IntegerVariable v) <span class="comment">// NOLINT(runtime/explicit)</span></div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; : <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>(v), <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>(1) {}</div><div class="line"><a name="l00234"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#aad4c7ee3b6e996c3828c04932765210d"> 234</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#aad4c7ee3b6e996c3828c04932765210d">AffineExpression</a>(IntegerVariable v, IntegerValue c)</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; : <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>(c &gt; 0 ? v : <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(v)), <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(c)) {}</div><div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a4b2c0a0bedd1e040a43c38978d4ecfb0"> 236</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a4b2c0a0bedd1e040a43c38978d4ecfb0">AffineExpression</a>(IntegerVariable v, IntegerValue c, IntegerValue cst)</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; : <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>(c &gt; 0 ? v : <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(v)), <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">IntTypeAbs</a>(c)), <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>(cst) {}</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; <span class="comment">// Returns the integer literal corresponding to expression &gt;= value or</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="comment">// expression &lt;= value.</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="comment">// On constant expressions, they will return IntegerLiteral::TrueLiteral()</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <span class="comment">// or IntegerLiteral::FalseLiteral().</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164">GreaterOrEqual</a>(IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27">LowerOrEqual</a>(IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <span class="comment">// It is safe to call these with non-typed constants.</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="comment">// This simplify the code when we need GreaterOrEqual(0) for instance.</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164">GreaterOrEqual</a>(int64_t <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27">LowerOrEqual</a>(int64_t <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;</div><div class="line"><a name="l00252"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86"> 252</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">Negated</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a3253ab3126f5c0c2db508ca3d185bc76">AffineExpression</a>(-<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>);</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a3253ab3126f5c0c2db508ca3d185bc76">AffineExpression</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>), <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>, -<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>);</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; }</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;</div><div class="line"><a name="l00257"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#add168e7d6ccca67818ea58be12e61dbd"> 257</a></span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#add168e7d6ccca67818ea58be12e61dbd">MultipliedBy</a>(IntegerValue multiplier)<span class="keyword"> const </span>{</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="comment">// Note that this also works if multiplier is negative.</span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a3253ab3126f5c0c2db508ca3d185bc76">AffineExpression</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> * multiplier, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> * multiplier);</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; }</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;</div><div class="line"><a name="l00262"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#acd9d282f8048fa2818f5856b80466d40"> 262</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#acd9d282f8048fa2818f5856b80466d40">operator==</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> o)<span class="keyword"> const </span>{</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> &amp;&amp; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> &amp;&amp; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; }</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="comment">// Returns the value of this affine expression given its variable value.</span></div><div class="line"><a name="l00267"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b"> 267</a></span>&#160; IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(IntegerValue var_value)<span class="keyword"> const </span>{</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> * var_value + <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; }</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="comment">// Returns the affine expression value under a given LP solution.</span></div><div class="line"><a name="l00272"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#aa9c149604bc3f558e14c6d233ebc4b19"> 272</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#aa9c149604bc3f558e14c6d233ebc4b19">LpValue</a>(</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="keyword">const</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, double&gt;</a>&amp; lp_values)<span class="keyword"> const </span>{</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>);</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>) * lp_values[<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>] + <a class="code" href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">ToDouble</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>);</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; }</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160;</div><div class="line"><a name="l00278"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#ac3740684133a43f28203f0b85ed847b7"> 278</a></span>&#160; <span class="keyword">const</span> std::string <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ac3740684133a43f28203f0b85ed847b7">DebugString</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> absl::StrCat(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>.value());</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> == 0) {</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="keywordflow">return</span> absl::StrCat(<span class="stringliteral">&quot;(&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>.value(), <span class="stringliteral">&quot; * X&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>.value(), <span class="stringliteral">&quot;)&quot;</span>);</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="keywordflow">return</span> absl::StrCat(<span class="stringliteral">&quot;(&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>.value(), <span class="stringliteral">&quot; * X&quot;</span>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>.value(), <span class="stringliteral">&quot; + &quot;</span>,</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>.value(), <span class="stringliteral">&quot;)&quot;</span>);</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; }</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; }</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; <span class="comment">// The coefficient MUST be positive. Use NegationOf(var) if needed.</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="comment">// TODO(user): Make this private to enforce the invariant that coeff cannot be</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <span class="comment">// negative.</span></div><div class="line"><a name="l00292"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214"> 292</a></span>&#160; IntegerVariable <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> = <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>; <span class="comment">// kNoIntegerVariable for constant.</span></div><div class="line"><a name="l00293"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e"> 293</a></span>&#160; IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> = IntegerValue(0); <span class="comment">// Zero for constant.</span></div><div class="line"><a name="l00294"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2"> 294</a></span>&#160; IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> = IntegerValue(0);</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;};</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;<span class="comment">// A model singleton that holds the INITIAL integer variable domains.</span></div><div class="line"><a name="l00298"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_domains.html"> 298</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_integer_domains.html">IntegerDomains</a> : <span class="keyword">public</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector</a>&lt;IntegerVariable, Domain&gt; {</div><div class="line"><a name="l00299"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_domains.html#a5ebecd2ee921f91c1c04c3b4640f94ce"> 299</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_domains.html#a5ebecd2ee921f91c1c04c3b4640f94ce">IntegerDomains</a>(<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="l00300"></a><span class="lineno"> 300</span>&#160;};</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160;</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;<span class="comment">// A model singleton used for debugging. If this is set in the model, then we</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="comment">// can check that various derived constraint do not exclude this solution (if it</span></div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="comment">// is a known optimal solution for instance).</span></div><div class="line"><a name="l00305"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_debug_solution.html"> 305</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_debug_solution.html">DebugSolution</a></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; : <span class="keyword">public</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector</a>&lt;IntegerVariable, IntegerValue&gt; {</div><div class="line"><a name="l00307"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_debug_solution.html#a1931a36f0eda6b2612c7d00718b176fe"> 307</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="structoperations__research_1_1sat_1_1_debug_solution.html#a1931a36f0eda6b2612c7d00718b176fe">DebugSolution</a>(<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="l00308"></a><span class="lineno"> 308</span>&#160;};</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="comment">// A value and a literal.</span></div><div class="line"><a name="l00311"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair.html"> 311</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a> {</div><div class="line"><a name="l00312"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal.html"> 312</a></span>&#160; <span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal.html">CompareByLiteral</a> {</div><div class="line"><a name="l00313"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal.html#a214e3fd8aa214706a89562126aab37a4"> 313</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal.html#a214e3fd8aa214706a89562126aab37a4">operator()</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>&amp; <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>&amp; <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="keywordflow">return</span> <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.literal &lt; <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.literal;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; }</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; };</div><div class="line"><a name="l00318"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value.html"> 318</a></span>&#160; <span class="keyword">struct </span><a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value.html">CompareByValue</a> {</div><div class="line"><a name="l00319"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value.html#a214e3fd8aa214706a89562126aab37a4"> 319</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value.html#a214e3fd8aa214706a89562126aab37a4">operator()</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>&amp; <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>,</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>&amp; <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <span class="keywordflow">return</span> (<a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.value &lt; <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.value) ||</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; (<a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.value == <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.value &amp;&amp; <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.literal &lt; <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.literal);</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;</div><div class="line"><a name="l00326"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a4db8f5afaaeebba7043f5ff2d1034402"> 326</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a4db8f5afaaeebba7043f5ff2d1034402">operator==</a>(<span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>&amp; o)<span class="keyword"> const </span>{</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a6b21ba2a964fe375e9ddbff5d8cabca8">value</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a6b21ba2a964fe375e9ddbff5d8cabca8">value</a> &amp;&amp; <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> == o.<a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>;</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; }</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160;</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; std::string <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;</div><div class="line"><a name="l00332"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a6b21ba2a964fe375e9ddbff5d8cabca8"> 332</a></span>&#160; IntegerValue <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a6b21ba2a964fe375e9ddbff5d8cabca8">value</a> = IntegerValue(0);</div><div class="line"><a name="l00333"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#af63dcc00f2023fdf498e0829e6fb8a6b"> 333</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> = <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>);</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;};</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160;std::ostream&amp; <a class="code" href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operator&lt;&lt;</a>(std::ostream&amp; os, <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1sat_1_1_value_literal_pair.html">ValueLiteralPair</a>&amp; p);</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160;<span class="comment">// Each integer variable x will be associated with a set of literals encoding</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;<span class="comment">// (x &gt;= v) for some values of v. This class maintains the relationship between</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;<span class="comment">// the integer variables and such literals which can be created by a call to</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;<span class="comment">// CreateAssociatedLiteral().</span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="comment">// The advantage of creating such Boolean variables is that the SatSolver which</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;<span class="comment">// is driving the search can then take this variable as a decision and maintain</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="comment">// these variables activity and so on. These variables can also be propagated</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;<span class="comment">// directly by the learned clauses.</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="comment">// This class also support a non-lazy full domain encoding which will create one</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;<span class="comment">// literal per possible value in the domain. See FullyEncodeVariable(). This is</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;<span class="comment">// meant to be called by constraints that directly work on the variable values</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;<span class="comment">// like a table constraint or an all-diff constraint.</span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;<span class="comment">// TODO(user): We could also lazily create precedences Booleans between two</span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<span class="comment">// arbitrary IntegerVariable. This is better done in the PrecedencesPropagator</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;<span class="comment">// though.</span></div><div class="line"><a name="l00356"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html"> 356</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a> {</div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l00358"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ae91804752c8789aa2bd7d638068f3b88"> 358</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ae91804752c8789aa2bd7d638068f3b88">IntegerEncoder</a>(<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="l00359"></a><span class="lineno"> 359</span>&#160; : sat_solver_(<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;()),</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; domains_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="structoperations__research_1_1sat_1_1_integer_domains.html">IntegerDomains</a>&gt;()),</div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; num_created_variables_(0) {}</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"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ab6918f1b808a28957b5b6577fe292414"> 363</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ab6918f1b808a28957b5b6577fe292414">~IntegerEncoder</a>() {</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;#variables created = &quot;</span> &lt;&lt; num_created_variables_;</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;</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160; <span class="comment">// Fully encode a variable using its current initial domain.</span></div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; <span class="comment">// If the variable is already fully encoded, this does nothing.</span></div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; <span class="comment">// This creates new Booleans variables as needed:</span></div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <span class="comment">// 1) num_values for the literals X == value. Except when there is just</span></div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; <span class="comment">// two value in which case only one variable is created.</span></div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="comment">// 2) num_values - 3 for the literals X &gt;= value or X &lt;= value (using their</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="comment">// negation). The -3 comes from the fact that we can reuse the equality</span></div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <span class="comment">// literals for the two extreme points.</span></div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; <span class="comment">// The encoding for NegationOf(var) is automatically created too. It reuses</span></div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="comment">// the same Boolean variable as the encoding of var.</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">// TODO(user): It is currently only possible to call that at the decision</span></div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; <span class="comment">// level zero because we cannot add ternary clause in the middle of the</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="comment">// search (for now). This is Checked.</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a1fc2c45d01fd348f668c2f7407015a20">FullyEncodeVariable</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="comment">// Returns true if we know that PartialDomainEncoding(var) span the full</span></div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="comment">// domain of var. This is always true if FullyEncodeVariable(var) has been</span></div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="comment">// called.</span></div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ac9e262bbda19ec4b7d51bd77b70bb363">VariableIsFullyEncoded</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; <span class="comment">// Computes the full encoding of a variable on which FullyEncodeVariable() has</span></div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <span class="comment">// been called. The returned elements are always sorted by increasing</span></div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="comment">// IntegerValue and we filter values associated to false literals.</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; <span class="comment">// Performance note: This function is not particularly fast, however it should</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; <span class="comment">// only be required during domain creation.</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; std::vector&lt;ValueLiteralPair&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">FullDomainEncoding</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;</div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="comment">// Same as FullDomainEncoding() but only returns the list of value that are</span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; <span class="comment">// currently associated to a literal. In particular this has no guarantee to</span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="comment">// span the full domain of the given variable (but it might).</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; std::vector&lt;ValueLiteralPair&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a6d5abebcf7168b2782e000ce76c82217">PartialDomainEncoding</a>(</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;</div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="comment">// Raw encoding. May be incomplete and is not sorted. Contains all literals,</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; <span class="comment">// true or false.</span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; std::vector&lt;ValueLiteralPair&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#aea7feba6e23b3ba5795da053a2e9f6ac">RawDomainEncoding</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; <span class="comment">// Returns the &quot;canonical&quot; (i_lit, negation of i_lit) pair. This mainly</span></div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="comment">// deal with domain with initial hole like [1,2][5,6] so that if one ask</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; <span class="comment">// for x &lt;= 3, this get canonicalized in the pair (x &lt;= 2, x &gt;= 5).</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; <span class="comment">// Note that it is an error to call this with a literal that is trivially true</span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; <span class="comment">// or trivially false according to the initial variable domain. This is</span></div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; <span class="comment">// CHECKed to make sure we don&#39;t create wasteful literal.</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; <span class="comment">// TODO(user): This is linear in the domain &quot;complexity&quot;, we can do better if</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; <span class="comment">// needed.</span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; std::pair&lt;IntegerLiteral, IntegerLiteral&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a4a1c84558c01bae528113b50c0611564">Canonicalize</a>(</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit) <span class="keyword">const</span>;</div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160;</div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="comment">// Returns, after creating it if needed, a Boolean literal such that:</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; <span class="comment">// - if true, then the IntegerLiteral is true.</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; <span class="comment">// - if false, then the negated IntegerLiteral is true.</span></div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; <span class="comment">// Note that this &quot;canonicalize&quot; the given literal first.</span></div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; <span class="comment">// This add the proper implications with the two &quot;neighbor&quot; literals of this</span></div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="comment">// one if they exist. This is the &quot;list encoding&quot; in: Thibaut Feydy, Peter J.</span></div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160; <span class="comment">// Stuckey, &quot;Lazy Clause Generation Reengineered&quot;, CP 2009.</span></div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#afcd4038298bec97a2f7a61274c6ef8c7">GetOrCreateAssociatedLiteral</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit);</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a074fe196a1aaff1dd5fd73e0b3bb1f0e">GetOrCreateLiteralAssociatedToEquality</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; IntegerValue <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160;</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; <span class="comment">// Associates the Boolean literal to (X &gt;= bound) or (X == value). If a</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="comment">// literal was already associated to this fact, this will add an equality</span></div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; <span class="comment">// constraints between both literals. If the fact is trivially true or false,</span></div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <span class="comment">// this will fix the given literal.</span></div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#af2f5ad9df8701dacbf53b9a6159d903d">AssociateToIntegerLiteral</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit);</div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a5d4a4c93f937463d529aabb222804816">AssociateToIntegerEqualValue</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; IntegerValue <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</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; <span class="comment">// Returns true iff the given integer literal is associated. The second</span></div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; <span class="comment">// version returns the associated literal or kNoLiteralIndex. Note that none</span></div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="comment">// of these function call Canonicalize() first for speed, so it is possible</span></div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; <span class="comment">// that this returns false even though GetOrCreateAssociatedLiteral() would</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="comment">// not create a new literal.</span></div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a8c19f2eec83fb50364c047f113e6dd5d">LiteralIsAssociated</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit) <span class="keyword">const</span>;</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; LiteralIndex <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a1f45fc78bc701ed536087a92557a1fe7">GetAssociatedLiteral</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit) <span class="keyword">const</span>;</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; LiteralIndex <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#aeb5e5f3cc640cb66579413a29528d223">GetAssociatedEqualityLiteral</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>,</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; IntegerValue <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; <span class="comment">// Advanced usage. It is more efficient to create the associated literals in</span></div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; <span class="comment">// order, but it might be anoying to do so. Instead, you can first call</span></div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; <span class="comment">// DisableImplicationBetweenLiteral() and when you are done creating all the</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; <span class="comment">// associated literals, you can call (only at level zero)</span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; <span class="comment">// AddAllImplicationsBetweenAssociatedLiterals() which will also turn back on</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; <span class="comment">// the implications between literals for the one that will be added</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; <span class="comment">// afterwards.</span></div><div class="line"><a name="l00459"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a50114dc2ccfc26a6efc7d3e5a083ffa3"> 459</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a50114dc2ccfc26a6efc7d3e5a083ffa3">DisableImplicationBetweenLiteral</a>() { add_implications_ = <span class="keyword">false</span>; }</div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#abed80d7a82e03859d7abc22f93d1af81">AddAllImplicationsBetweenAssociatedLiterals</a>();</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160;</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="comment">// Returns the IntegerLiterals that were associated with the given Literal.</span></div><div class="line"><a name="l00463"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a82ec3cdecf098fb24fdb467d334d3da3"> 463</a></span>&#160; <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a003e7b51f96dbc816348288532b04b21">InlinedIntegerLiteralVector</a>&amp; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a82ec3cdecf098fb24fdb467d334d3da3">GetIntegerLiterals</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit)<span class="keyword"> const </span>{</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <span class="keywordflow">if</span> (lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>() &gt;= reverse_encoding_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) {</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <span class="keywordflow">return</span> empty_integer_literal_vector_;</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; }</div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160; <span class="keywordflow">return</span> reverse_encoding_[lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()];</div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; }</div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;</div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; <span class="comment">// Same as GetIntegerLiterals(), but in addition, if the literal was</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160; <span class="comment">// associated to an integer == value, then the returned list will contain both</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <span class="comment">// (integer &gt;= value) and (integer &lt;= value).</span></div><div class="line"><a name="l00473"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a0d782ddea6e94b7dfbb612f1a64c2f7b"> 473</a></span>&#160; <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a003e7b51f96dbc816348288532b04b21">InlinedIntegerLiteralVector</a>&amp; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a0d782ddea6e94b7dfbb612f1a64c2f7b">GetAllIntegerLiterals</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit)<span class="keyword"> const </span>{</div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; <span class="keywordflow">if</span> (lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>() &gt;= full_reverse_encoding_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) {</div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; <span class="keywordflow">return</span> empty_integer_literal_vector_;</div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; }</div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; <span class="keywordflow">return</span> full_reverse_encoding_[lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()];</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; }</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160;</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; <span class="comment">// This is part of a &quot;hack&quot; to deal with new association involving a fixed</span></div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; <span class="comment">// literal. Note that these are only allowed at the decision level zero.</span></div><div class="line"><a name="l00482"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a52b7cb1c1d49421f48b583e4aaa550d8"> 482</a></span>&#160; <span class="keyword">const</span> std::vector&lt;IntegerLiteral&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a52b7cb1c1d49421f48b583e4aaa550d8">NewlyFixedIntegerLiterals</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <span class="keywordflow">return</span> newly_fixed_integer_literals_;</div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; }</div><div class="line"><a name="l00485"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a514abe3126a2c805879836d2b24fa2a6"> 485</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a514abe3126a2c805879836d2b24fa2a6">ClearNewlyFixedIntegerLiterals</a>() {</div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; newly_fixed_integer_literals_.clear();</div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; }</div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;</div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; <span class="comment">// If it exists, returns a [0,1] integer variable which is equal to 1 iff the</span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; <span class="comment">// given literal is true. Returns kNoIntegerVariable if such variable does not</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; <span class="comment">// exist. Note that one can create one by creating a new IntegerVariable and</span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; <span class="comment">// calling AssociateToIntegerEqualValue().</span></div><div class="line"><a name="l00493"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41"> 493</a></span>&#160; <span class="keyword">const</span> IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit)<span class="keyword"> const </span>{</div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; <span class="keywordflow">if</span> (lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>() &gt;= literal_view_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; <span class="keywordflow">return</span> literal_view_[lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()];</div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; }</div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; <span class="comment">// If this is true, then a literal can be linearized with an affine expression</span></div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; <span class="comment">// involving an integer variable.</span></div><div class="line"><a name="l00500"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#aba2da0bfd23abe8c3a226fbf036d3f9b"> 500</a></span>&#160; <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#aba2da0bfd23abe8c3a226fbf036d3f9b">LiteralOrNegationHasView</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit)<span class="keyword"> const </span>{</div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit) != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a> ||</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>()) != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>;</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;</div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; <span class="comment">// Returns a Boolean literal associated with a bound lower than or equal to</span></div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; <span class="comment">// the one of the given IntegerLiteral. If the given IntegerLiteral is true,</span></div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; <span class="comment">// then the returned literal should be true too. Returns kNoLiteralIndex if no</span></div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; <span class="comment">// such literal was created.</span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; <span class="comment">// Ex: if &#39;i&#39; is (x &gt;= 4) and we already created a literal associated to</span></div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; <span class="comment">// (x &gt;= 2) but not to (x &gt;= 3), we will return the literal associated with</span></div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; <span class="comment">// (x &gt;= 2).</span></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; LiteralIndex <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a18be901ad3327dbba70128fcb601c960">SearchForLiteralAtOrBefore</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i,</div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; IntegerValue* <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160;</div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; <span class="comment">// Gets the literal always set to true, make it if it does not exist.</span></div><div class="line"><a name="l00517"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a6214f11086b9e522d69b127d1d1b8541"> 517</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a6214f11086b9e522d69b127d1d1b8541">GetTrueLiteral</a>() {</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(0, sat_solver_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">CurrentDecisionLevel</a>());</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; <span class="keywordflow">if</span> (literal_index_true_ == <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>) {</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> literal_true =</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(sat_solver_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html#a43684a0a8ef85b1cea0076dba3fb271d">NewBooleanVariable</a>(), <span class="keyword">true</span>);</div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; literal_index_true_ = literal_true.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>();</div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; sat_solver_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html#afbbbc2f0845a82a5a5cfb3f00a61abe9">AddUnitClause</a>(literal_true);</div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; }</div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(literal_index_true_);</div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; }</div><div class="line"><a name="l00527"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a299520ab923d28b4ee3051fe476d69fe"> 527</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a299520ab923d28b4ee3051fe476d69fe">GetFalseLiteral</a>() { <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a6214f11086b9e522d69b127d1d1b8541">GetTrueLiteral</a>().<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>(); }</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="comment">// Returns the set of Literal associated to IntegerLiteral of the form var &gt;=</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; <span class="comment">// value. We make a copy, because this can be easily invalidated when calling</span></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; <span class="comment">// any function of this class. So it is less efficient but safer.</span></div><div class="line"><a name="l00532"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ae2f34ffcd1a37837a3a080d239702b64"> 532</a></span>&#160; std::map&lt;IntegerValue, Literal&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ae2f34ffcd1a37837a3a080d239702b64">PartialGreaterThanEncoding</a>(</div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> &gt;= encoding_by_var_.size()) {</div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; <span class="keywordflow">return</span> std::map&lt;IntegerValue, Literal&gt;();</div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; }</div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; <span class="keywordflow">return</span> encoding_by_var_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>];</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="keyword">private</span>:</div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; <span class="comment">// Only add the equivalence between i_lit and literal, if there is already an</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="comment">// associated literal with i_lit, this make literal and this associated</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; <span class="comment">// literal equivalent.</span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="keywordtype">void</span> HalfAssociateGivenLiteral(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>);</div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160;</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; <span class="comment">// Adds the implications:</span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="comment">// Literal(before) &lt;= associated_lit &lt;= Literal(after).</span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <span class="comment">// Arguments:</span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; <span class="comment">// - map is just encoding_by_var_[associated_lit.var] and is passed as a</span></div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="comment">// slight optimization.</span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <span class="comment">// - &#39;it&#39; is the current position of associated_lit in map, i.e. we must have</span></div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; <span class="comment">// it-&gt;second == associated_lit.</span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="keywordtype">void</span> AddImplications(<span class="keyword">const</span> std::map&lt;IntegerValue, Literal&gt;&amp; map,</div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; std::map&lt;IntegerValue, Literal&gt;::const_iterator it,</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> associated_lit);</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; <a class="code" href="classoperations__research_1_1sat_1_1_sat_solver.html">SatSolver</a>* sat_solver_;</div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_domains.html">IntegerDomains</a>* domains_;</div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160;</div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; <span class="keywordtype">bool</span> add_implications_ = <span class="keyword">true</span>;</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; int64_t num_created_variables_ = 0;</div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160;</div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <span class="comment">// We keep all the literals associated to an Integer variable in a map ordered</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; <span class="comment">// by bound (so we can properly add implications between the literals</span></div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; <span class="comment">// corresponding to the same variable).</span></div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <span class="comment">// TODO(user): Remove the entry no longer needed because of level zero</span></div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; <span class="comment">// propagations.</span></div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, std::map&lt;IntegerValue, Literal&gt;</a>&gt;</div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; encoding_by_var_;</div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;</div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <span class="comment">// Store for a given LiteralIndex the list of its associated IntegerLiterals.</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1sat.html#a003e7b51f96dbc816348288532b04b21">InlinedIntegerLiteralVector</a> empty_integer_literal_vector_;</div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, InlinedIntegerLiteralVector&gt;</a></div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; reverse_encoding_;</div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, InlinedIntegerLiteralVector&gt;</a></div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; full_reverse_encoding_;</div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; std::vector&lt;IntegerLiteral&gt; newly_fixed_integer_literals_;</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; <span class="comment">// Store for a given LiteralIndex its IntegerVariable view or kNoLiteralIndex</span></div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; <span class="comment">// if there is none.</span></div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, IntegerVariable&gt;</a> literal_view_;</div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;</div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <span class="comment">// Mapping (variable == value) -&gt; associated literal. Note that even if</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; <span class="comment">// there is more than one literal associated to the same fact, we just keep</span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; <span class="comment">// the first one that was added.</span></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <span class="comment">// Note that we only keep positive IntegerVariable here to reduce memory</span></div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <span class="comment">// usage.</span></div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; absl::flat_hash_map&lt;std::pair&lt;PositiveOnlyIndex, IntegerValue&gt;, <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>&gt;</div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; equality_to_associated_literal_;</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;</div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160; <span class="comment">// Mutable because this is lazily cleaned-up by PartialDomainEncoding().</span></div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <span class="keyword">mutable</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;PositiveOnlyIndex, std::vector&lt;ValueLiteralPair&gt;</a>&gt;</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; equality_by_var_;</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160;</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="comment">// Variables that are fully encoded.</span></div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; <span class="keyword">mutable</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;PositiveOnlyIndex, bool&gt;</a> is_fully_encoded_;</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">// A literal that is always true, convenient to encode trivial domains.</span></div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; <span class="comment">// This will be lazily created when needed.</span></div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160; LiteralIndex literal_index_true_ = <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>;</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;</div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; <span class="comment">// Temporary memory used by FullyEncodeVariable().</span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; std::vector&lt;IntegerValue&gt; tmp_values_;</div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160;</div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>);</div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160;};</div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160;</div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160;<span class="comment">// This class maintains a set of integer variables with their current bounds.</span></div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160;<span class="comment">// Bounds can be propagated from an external &quot;source&quot; and this class helps</span></div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160;<span class="comment">// to maintain the reason for each propagation.</span></div><div class="line"><a name="l00613"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html"> 613</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a> : <span class="keyword">public</span> <a class="code" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a> {</div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l00615"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#afac25f42f6c2024c566846104e0aabba"> 615</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#afac25f42f6c2024c566846104e0aabba">IntegerTrail</a>(<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="l00616"></a><span class="lineno"> 616</span>&#160; : <a class="code" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a>(<span class="stringliteral">&quot;IntegerTrail&quot;</span>),</div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; domains_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="structoperations__research_1_1sat_1_1_integer_domains.html">IntegerDomains</a>&gt;()),</div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; 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="l00619"></a><span class="lineno"> 619</span>&#160; trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&gt;()),</div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; parameters_(*<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_parameters.html">SatParameters</a>&gt;()) {</div><div class="line"><a name="l00621"></a><span class="lineno"> 621</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;AddPropagator(<span class="keyword">this</span>);</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; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac72fc3390d9ea9586c9f6a7623301b78">~IntegerTrail</a>() final;</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">// SatPropagator interface. These functions make sure the current bounds</span></div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; <span class="comment">// information is in sync with the current solver literal trail. Any</span></div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; <span class="comment">// class/propagator using this class must make sure it is synced to the</span></div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; <span class="comment">// correct state before calling any of its functions.</span></div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a1f591be5334541874ba049873235f0a9">Propagate</a>(<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail) final;</div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af46d3e8559a1951914b218e3ef4f34c7">Untrail</a>(const <a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail, <span class="keywordtype">int</span> literal_trail_index) final;</div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; <a class="code" href="namespaceabsl.html">absl</a>::Span&lt;const <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a5aa25e6e306c7158c11d2053170379a2">Reason</a>(const <a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail,</div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; <span class="keywordtype">int</span> trail_index) const final;</div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160;</div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <span class="comment">// Returns the number of created integer variables.</span></div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="comment">// Note that this is twice the number of call to AddIntegerVariable() since</span></div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <span class="comment">// we automatically create the NegationOf() variable too.</span></div><div class="line"><a name="l00638"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#af88a18429909498405c450015f0a223a"> 638</a></span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af88a18429909498405c450015f0a223a">NumIntegerVariables</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; <span class="keywordflow">return</span> IntegerVariable(vars_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>());</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">// Optimization: you can call this before calling AddIntegerVariable()</span></div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160; <span class="comment">// num_vars time.</span></div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a267d05a02fdcc9439a5a54bf9f0ccd3c">ReserveSpaceForNumVariables</a>(<span class="keywordtype">int</span> num_vars);</div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160;</div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; <span class="comment">// Adds a new integer variable. Adding integer variable can only be done when</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160; <span class="comment">// the decision level is zero (checked). The given bounds are INCLUSIVE and</span></div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <span class="comment">// must not cross.</span></div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; <span class="comment">// Note on integer overflow: &#39;upper_bound - lower_bound&#39; must fit on an</span></div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160; <span class="comment">// int64_t, this is DCHECKed. More generally, depending on the constraints</span></div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; <span class="comment">// that are added, the bounds magnitude must be small enough to satisfy each</span></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; <span class="comment">// constraint overflow precondition.</span></div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae0185af3cf5bae9f1a3b7dc646a305dc">AddIntegerVariable</a>(IntegerValue <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; IntegerValue <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160;</div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <span class="comment">// Same as above but for a more complex domain specified as a sorted list of</span></div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; <span class="comment">// disjoint intervals. See the Domain class.</span></div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae0185af3cf5bae9f1a3b7dc646a305dc">AddIntegerVariable</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_domain.html">Domain</a>&amp; domain);</div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160;</div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <span class="comment">// Returns the initial domain of the given variable. Note that the min/max</span></div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; <span class="comment">// are updated with level zero propagation, but not holes.</span></div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_domain.html">Domain</a>&amp; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af4303d31360f06c50729f156b1fbc2a9">InitialVariableDomain</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160;</div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="comment">// Takes the intersection with the current initial variable domain.</span></div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; <span class="comment">// TODO(user): There is some memory inefficiency if this is called many time</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; <span class="comment">// because of the underlying data structure we use. In practice, when used</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; <span class="comment">// with a presolve, this is not often used, so that is fine though.</span></div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af931801f592e954a6623cab8cf9a4485">UpdateInitialDomain</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <a class="code" href="classoperations__research_1_1_domain.html">Domain</a> domain);</div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160;</div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="comment">// Same as AddIntegerVariable(value, value), but this is a bit more efficient</span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="comment">// because it reuses another constant with the same value if its exist.</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; <span class="comment">// Note(user): Creating constant integer variable is a bit wasteful, but not</span></div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="comment">// that much, and it allows to simplify a lot of constraints that do not need</span></div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; <span class="comment">// to handle this case any differently than the general one. Maybe there is a</span></div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; <span class="comment">// better solution, but this is not really high priority as of December 2016.</span></div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a161bb1bb07b668c21249a7ffb6958fb1">GetOrCreateConstantIntegerVariable</a>(IntegerValue <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac5b0e86a4e870b2198a8d866efa51463">NumConstantVariables</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160;</div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; <span class="comment">// Same as AddIntegerVariable() but uses the maximum possible range. Note</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; <span class="comment">// that since we take negation of bounds in various places, we make sure that</span></div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; <span class="comment">// we don&#39;t have overflow when we take the negation of the lower bound or of</span></div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="comment">// the upper bound.</span></div><div class="line"><a name="l00686"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae0185af3cf5bae9f1a3b7dc646a305dc"> 686</a></span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae0185af3cf5bae9f1a3b7dc646a305dc">AddIntegerVariable</a>() {</div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae0185af3cf5bae9f1a3b7dc646a305dc">AddIntegerVariable</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>);</div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; }</div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160;</div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; <span class="comment">// For an optional variable, both its lb and ub must be valid bound assuming</span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; <span class="comment">// the fact that the variable is &quot;present&quot;. However, the domain [lb, ub] is</span></div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160; <span class="comment">// allowed to be empty (i.e. ub &lt; lb) if the given is_ignored literal is true.</span></div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; <span class="comment">// Moreover, if is_ignored is true, then the bound of such variable should NOT</span></div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; <span class="comment">// impact any non-ignored variable in any way (but the reverse is not true).</span></div><div class="line"><a name="l00695"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#acc1aaae243ed4381e84f8309aacb3bbc"> 695</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#acc1aaae243ed4381e84f8309aacb3bbc">IsOptional</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160; <span class="keywordflow">return</span> is_ignored_literals_[i] != <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>;</div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; }</div><div class="line"><a name="l00698"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9"> 698</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">IsCurrentlyIgnored</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; <span class="keyword">const</span> LiteralIndex is_ignored_literal = is_ignored_literals_[i];</div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160; <span class="keywordflow">return</span> is_ignored_literal != <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a> &amp;&amp;</div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">LiteralIsTrue</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(is_ignored_literal));</div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; }</div><div class="line"><a name="l00703"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac8db20a5dab063aa3ca64a4ae1202d4c"> 703</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac8db20a5dab063aa3ca64a4ae1202d4c">IsIgnoredLiteral</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#acc1aaae243ed4381e84f8309aacb3bbc">IsOptional</a>(i));</div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(is_ignored_literals_[i]);</div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; }</div><div class="line"><a name="l00707"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a554451dc5db1b8d233556d0b217c8a68"> 707</a></span>&#160; LiteralIndex <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a554451dc5db1b8d233556d0b217c8a68">OptionalLiteralIndex</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; <span class="keywordflow">return</span> is_ignored_literals_[i] == <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a></div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; ? <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a></div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; : <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(is_ignored_literals_[i]).<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a239e1315c4e975a35537790ba0d913a7">NegatedIndex</a>();</div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; }</div><div class="line"><a name="l00712"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ce07a1c3059cc86f60ae33c8db2c702"> 712</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ce07a1c3059cc86f60ae33c8db2c702">MarkIntegerVariableAsOptional</a>(IntegerVariable i, <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> is_considered) {</div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(is_ignored_literals_[i] == <a class="code" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a> ||</div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; is_ignored_literals_[i] == is_considered.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a239e1315c4e975a35537790ba0d913a7">NegatedIndex</a>());</div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; is_ignored_literals_[i] = is_considered.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a239e1315c4e975a35537790ba0d913a7">NegatedIndex</a>();</div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; is_ignored_literals_[<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(i)] = is_considered.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a239e1315c4e975a35537790ba0d913a7">NegatedIndex</a>();</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;</div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; <span class="comment">// Returns the current lower/upper bound of the given integer variable.</span></div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(IntegerVariable i) <span class="keyword">const</span>;</div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(IntegerVariable i) <span class="keyword">const</span>;</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; <span class="comment">// Checks if the variable is fixed.</span></div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(IntegerVariable i) <span class="keyword">const</span>;</div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160;</div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; <span class="comment">// Checks that the variable is fixed and returns its value.</span></div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">FixedValue</a>(IntegerVariable i) <span class="keyword">const</span>;</div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160;</div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; <span class="comment">// Same as above for an affine expression.</span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">FixedValue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</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; <span class="comment">// Returns the integer literal that represent the current lower/upper bound of</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="comment">// the given integer variable.</span></div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(IntegerVariable i) <span class="keyword">const</span>;</div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(IntegerVariable i) <span class="keyword">const</span>;</div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160;</div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; <span class="comment">// Returns the integer literal that represent the current lower/upper bound of</span></div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; <span class="comment">// the given affine expression. In case the expression is constant, it returns</span></div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; <span class="comment">// IntegerLiteral::TrueLiteral().</span></div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">LowerBoundAsLiteral</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">UpperBoundAsLiteral</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160;</div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; <span class="comment">// Returns the current value (if known) of an IntegerLiteral.</span></div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab1619165d8afe26e20af4d8d80bf2956">IntegerLiteralIsTrue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> l) <span class="keyword">const</span>;</div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#adf3a30cc102861886504a5db480fdaad">IntegerLiteralIsFalse</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> l) <span class="keyword">const</span>;</div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160;</div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; <span class="comment">// Returns globally valid lower/upper bound on the given integer variable.</span></div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</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; <span class="comment">// Returns globally valid lower/upper bound on the given affine expression.</span></div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> exp) <span class="keyword">const</span>;</div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> exp) <span class="keyword">const</span>;</div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160;</div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; <span class="comment">// Returns true if the variable is fixed at level 0.</span></div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">IsFixedAtLevelZero</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160;</div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; <span class="comment">// Returns true if the affine expression is fixed at level 0.</span></div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">IsFixedAtLevelZero</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160;</div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; <span class="comment">// Advanced usage.</span></div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; <span class="comment">// Returns the current lower bound assuming the literal is true.</span></div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52">ConditionalLowerBound</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l, IntegerVariable i) <span class="keyword">const</span>;</div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52">ConditionalLowerBound</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr) <span class="keyword">const</span>;</div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160;</div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; <span class="comment">// Advanced usage. Given the reason for</span></div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; <span class="comment">// (Sum_i coeffs[i] * reason[i].var &gt;= current_lb) initially in reason,</span></div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; <span class="comment">// this function relaxes the reason given that we only need the explanation of</span></div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="comment">// (Sum_i coeffs[i] * reason[i].var &gt;= current_lb - slack).</span></div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160; <span class="comment">// Preconditions:</span></div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160; <span class="comment">// - coeffs must be of same size as reason, and all entry must be positive.</span></div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160; <span class="comment">// - *reason must initially contains the trivial initial reason, that is</span></div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160; <span class="comment">// the current lower-bound of each variables.</span></div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; <span class="comment">// TODO(user): Requiring all initial literal to be at their current bound is</span></div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; <span class="comment">// not really clean. Maybe we can change the API to only take IntegerVariable</span></div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="comment">// and produce the reason directly.</span></div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160; <span class="comment">// TODO(user): change API so that this work is performed during the conflict</span></div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160; <span class="comment">// analysis where we can be smarter in how we relax the reason. Note however</span></div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160; <span class="comment">// that this function is mainly used when we have a conflict, so this is not</span></div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160; <span class="comment">// really high priority.</span></div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; <span class="comment">// TODO(user): Test that the code work in the presence of integer overflow.</span></div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(IntegerValue slack,</div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160; absl::Span&lt;const IntegerValue&gt; coeffs,</div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160; std::vector&lt;IntegerLiteral&gt;* reason) <span class="keyword">const</span>;</div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160;</div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160; <span class="comment">// Same as above but take in IntegerVariables instead of IntegerLiterals.</span></div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa527950bda17efaeae8589c561d1b453">AppendRelaxedLinearReason</a>(IntegerValue slack,</div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160; absl::Span&lt;const IntegerValue&gt; coeffs,</div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160; absl::Span&lt;const IntegerVariable&gt; vars,</div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160; std::vector&lt;IntegerLiteral&gt;* reason) <span class="keyword">const</span>;</div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160;</div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; <span class="comment">// Same as above but relax the given trail indices.</span></div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">RelaxLinearReason</a>(IntegerValue slack,</div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160; absl::Span&lt;const IntegerValue&gt; coeffs,</div><div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160; std::vector&lt;int&gt;* trail_indices) <span class="keyword">const</span>;</div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160;</div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160; <span class="comment">// Removes from the reasons the literal that are always true.</span></div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160; <span class="comment">// This is mainly useful for experiments/testing.</span></div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#adfce09ac65fc660f8a4f019f4072c6a7">RemoveLevelZeroBounds</a>(std::vector&lt;IntegerLiteral&gt;* reason) <span class="keyword">const</span>;</div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160;</div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160; <span class="comment">// Enqueue new information about a variable bound. Calling this with a less</span></div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160; <span class="comment">// restrictive bound than the current one will have no effect.</span></div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160; <span class="comment">// The reason for this &quot;assignment&quot; must be provided as:</span></div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160; <span class="comment">// - A set of Literal currently beeing all false.</span></div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; <span class="comment">// - A set of IntegerLiteral currently beeing all true.</span></div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160; <span class="comment">// IMPORTANT: Notice the inversed sign in the literal reason. This is a bit</span></div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160; <span class="comment">// confusing but internally SAT use this direction for efficiency.</span></div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; <span class="comment">// Note(user): Duplicates Literal/IntegerLiteral are supported because we call</span></div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160; <span class="comment">// STLSortAndRemoveDuplicates() in MergeReasonInto(), but maybe they shouldn&#39;t</span></div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160; <span class="comment">// for efficiency reason.</span></div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160; <span class="comment">// TODO(user): If the given bound is equal to the current bound, maybe the new</span></div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; <span class="comment">// reason is better? how to decide and what to do in this case? to think about</span></div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160; <span class="comment">// it. Currently we simply don&#39;t do anything.</span></div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div><div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason);</div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160;</div><div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160; <span class="comment">// Enqueue new information about a variable bound. It has the same behavior</span></div><div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160; <span class="comment">// as the Enqueue() method, except that it accepts true and false integer</span></div><div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160; <span class="comment">// literals, both for i_lit, and for the integer reason.</span></div><div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; <span class="comment">// This method will do nothing if i_lit is a true literal. It will report a</span></div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; <span class="comment">// conflict if i_lit is a false literal, and enqueue i_lit normally otherwise.</span></div><div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160; <span class="comment">// Furthemore, it will check that the integer reason does not contain any</span></div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; <span class="comment">// false literals, and will remove true literals before calling</span></div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; <span class="comment">// ReportConflict() or Enqueue().</span></div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9393fc2c24f073a494687363af790b39">SafeEnqueue</a>(</div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, absl::Span&lt;const IntegerLiteral&gt; integer_reason);</div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160;</div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; <span class="comment">// Pushes the given integer literal assuming that the Boolean literal is true.</span></div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; <span class="comment">// This can do a few things:</span></div><div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160; <span class="comment">// - If lit it true, add it to the reason and push the integer bound.</span></div><div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160; <span class="comment">// - If the bound is infeasible, push lit to false.</span></div><div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160; <span class="comment">// - If the underlying variable is optional and also controlled by lit, push</span></div><div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; <span class="comment">// the bound even if lit is not assigned.</span></div><div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ad2f3825d33cbc805d2f490d324bd363c">ConditionalEnqueue</a>(</div><div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, std::vector&lt;Literal&gt;* literal_reason,</div><div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160; std::vector&lt;IntegerLiteral&gt;* integer_reason);</div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160;</div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160; <span class="comment">// Same as Enqueue(), but takes an extra argument which if smaller than</span></div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; <span class="comment">// integer_trail_.size() is interpreted as the trail index of an old Enqueue()</span></div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160; <span class="comment">// that had the same reason as this one. Note that the given Span must still</span></div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160; <span class="comment">// be valid as they are used in case of conflict.</span></div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; <span class="comment">// TODO(user): This currently cannot refer to a trail_index with a lazy</span></div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; <span class="comment">// reason. Fix or at least check that this is the case.</span></div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason,</div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160; <span class="keywordtype">int</span> trail_index_with_same_reason);</div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160;</div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; <span class="comment">// Lazy reason API.</span></div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160; <span class="comment">// The function is provided with the IntegerLiteral to explain and its index</span></div><div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160; <span class="comment">// in the integer trail. It must fill the two vectors so that literals</span></div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160; <span class="comment">// contains any Literal part of the reason and dependencies contains the trail</span></div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; <span class="comment">// index of any IntegerLiteral that is also part of the reason.</span></div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160; <span class="comment">// Remark: sometimes this is called to fill the conflict while the literal</span></div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160; <span class="comment">// to explain is propagated. In this case, trail_index_of_literal will be</span></div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160; <span class="comment">// the current trail index, and we cannot assume that there is anything filled</span></div><div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160; <span class="comment">// yet in integer_literal[trail_index_of_literal].</span></div><div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; <span class="keyword">using</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675">LazyReasonFunction</a> = std::function&lt;void(</div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> literal_to_explain, <span class="keywordtype">int</span> trail_index_of_literal,</div><div class="line"><a name="l00876"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675"> 876</a></span>&#160; std::vector&lt;Literal&gt;* literals, std::vector&lt;int&gt;* dependencies)&gt;;</div><div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit,</div><div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675">LazyReasonFunction</a> lazy_reason);</div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160;</div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; <span class="comment">// Enqueues the given literal on the trail.</span></div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160; <span class="comment">// See the comment of Enqueue() for the reason format.</span></div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a79322fd8dff49ab2eab22c0570aba594">EnqueueLiteral</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason);</div><div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160;</div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; <span class="comment">// Returns the reason (as set of Literal currently false) for a given integer</span></div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160; <span class="comment">// literal. Note that the bound must be less restrictive than the current</span></div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160; <span class="comment">// bound (checked).</span></div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; std::vector&lt;Literal&gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a430eb799926e49f2339d7f52c01d038b">ReasonFor</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>) <span class="keyword">const</span>;</div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160;</div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; <span class="comment">// Appends the reason for the given integer literals to the output and call</span></div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160; <span class="comment">// STLSortAndRemoveDuplicates() on it.</span></div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac7f9c569e2ad83d246e4a17ea303a7ec">MergeReasonInto</a>(absl::Span&lt;const IntegerLiteral&gt; literals,</div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; std::vector&lt;Literal&gt;* output) <span class="keyword">const</span>;</div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160;</div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160; <span class="comment">// Returns the number of enqueues that changed a variable bounds. We don&#39;t</span></div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; <span class="comment">// count enqueues called with a less restrictive bound than the current one.</span></div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160; <span class="comment">// Note(user): this can be used to see if any of the bounds changed. Just</span></div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160; <span class="comment">// looking at the integer trail index is not enough because at level zero it</span></div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160; <span class="comment">// doesn&#39;t change since we directly update the &quot;fixed&quot; bounds.</span></div><div class="line"><a name="l00901"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a177b0fc3e2519896f25447085954073c"> 901</a></span>&#160; int64_t <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a177b0fc3e2519896f25447085954073c">num_enqueues</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_enqueues_; }</div><div class="line"><a name="l00902"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ad74c8b85009c0d48309f2b5b1e6ad97f"> 902</a></span>&#160; int64_t <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ad74c8b85009c0d48309f2b5b1e6ad97f">timestamp</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_enqueues_ + num_untrails_; }</div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;</div><div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160; <span class="comment">// Same as num_enqueues but only count the level zero changes.</span></div><div class="line"><a name="l00905"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a4ce4030e2e60f84f0e28616614f9f320"> 905</a></span>&#160; int64_t <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a4ce4030e2e60f84f0e28616614f9f320">num_level_zero_enqueues</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_level_zero_enqueues_; }</div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160;</div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160; <span class="comment">// All the registered bitsets will be set to one each time a LbVar is</span></div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160; <span class="comment">// modified. It is up to the client to clear it if it wants to be notified</span></div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160; <span class="comment">// with the newly modified variables.</span></div><div class="line"><a name="l00910"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a1eb60e3eca768de339988b37c6f1fd0b"> 910</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a1eb60e3eca768de339988b37c6f1fd0b">RegisterWatcher</a>(<a class="code" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset&lt;IntegerVariable&gt;</a>* p) {</div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160; p-&gt;<a class="code" href="classoperations__research_1_1_sparse_bitset.html#ae09e38958e558d2c776bc555a0dc2fc7">ClearAndResize</a>(<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#af88a18429909498405c450015f0a223a">NumIntegerVariables</a>());</div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160; watchers_.push_back(p);</div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; }</div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160;</div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160; <span class="comment">// Helper functions to report a conflict. Always return false so a client can</span></div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160; <span class="comment">// simply do: return integer_trail_-&gt;ReportConflict(...);</span></div><div class="line"><a name="l00917"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df"> 917</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">ReportConflict</a>(absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason) {</div><div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(ReasonIsValid(literal_reason, integer_reason));</div><div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160; std::vector&lt;Literal&gt;* conflict = trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a84f6b2c778ed597c90f98f0329a25713">MutableConflict</a>();</div><div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160; conflict-&gt;assign(literal_reason.begin(), literal_reason.end());</div><div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac7f9c569e2ad83d246e4a17ea303a7ec">MergeReasonInto</a>(integer_reason, conflict);</div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160; }</div><div class="line"><a name="l00925"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a45c127b9bc84730950583f5b946b4af6"> 925</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a45c127b9bc84730950583f5b946b4af6">ReportConflict</a>(absl::Span&lt;const IntegerLiteral&gt; integer_reason) {</div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(ReasonIsValid({}, integer_reason));</div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160; std::vector&lt;Literal&gt;* conflict = trail_-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a84f6b2c778ed597c90f98f0329a25713">MutableConflict</a>();</div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160; conflict-&gt;clear();</div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac7f9c569e2ad83d246e4a17ea303a7ec">MergeReasonInto</a>(integer_reason, conflict);</div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160; }</div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;</div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160; <span class="comment">// Returns true if the variable lower bound is still the one from level zero.</span></div><div class="line"><a name="l00934"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4c7a44c63bb5d0d0401c9951db2daaa"> 934</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4c7a44c63bb5d0d0401c9951db2daaa">VariableLowerBoundIsFromLevelZero</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160; <span class="keywordflow">return</span> vars_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].current_trail_index &lt; vars_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>();</div><div class="line"><a name="l00936"></a><span class="lineno"> 936</span>&#160; }</div><div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160;</div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160; <span class="comment">// Registers a reversible class. This class will always be synced with the</span></div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160; <span class="comment">// correct decision level.</span></div><div class="line"><a name="l00940"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae517412fa6f592ccb7c8e0f1569ba983"> 940</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ae517412fa6f592ccb7c8e0f1569ba983">RegisterReversibleClass</a>(<a class="code" href="classoperations__research_1_1_reversible_interface.html">ReversibleInterface</a>* rev) {</div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160; reversible_classes_.push_back(rev);</div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160; }</div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;</div><div class="line"><a name="l00944"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ef12397d1682615bc3108c397734179"> 944</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ef12397d1682615bc3108c397734179">Index</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> integer_trail_.size(); }</div><div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160;</div><div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160; <span class="comment">// Inspects the trail and output all the non-level zero bounds (one per</span></div><div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160; <span class="comment">// variables) to the output. The algo is sparse if there is only a few</span></div><div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160; <span class="comment">// propagations on the trail.</span></div><div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aab182be7f1a6eccbc2b14c21fce5e9dd">AppendNewBounds</a>(std::vector&lt;IntegerLiteral&gt;* output) <span class="keyword">const</span>;</div><div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;</div><div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160; <span class="comment">// Returns the trail index &lt; threshold of a TrailEntry about var. Returns -1</span></div><div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160; <span class="comment">// if there is no such entry (at a positive decision level). This is basically</span></div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160; <span class="comment">// the trail index of the lower bound of var at the time.</span></div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160; <span class="comment">// Important: We do some optimization internally, so this should only be</span></div><div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160; <span class="comment">// used from within a LazyReasonFunction().</span></div><div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a2df75a6456eaa2a1c2cc3255e4a91f29">FindTrailIndexOfVarBefore</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">int</span> threshold) <span class="keyword">const</span>;</div><div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160;</div><div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160; <span class="comment">// Basic heuristic to detect when we are in a propagation loop, and suggest</span></div><div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160; <span class="comment">// a good variable to branch on (taking the middle value) to get out of it.</span></div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a697964c4df6330b5d4720be3658ac35a">InPropagationLoop</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ae8e206270e3bb10251a6fadbdc06e7">NextVariableToBranchOnInPropagationLoop</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160;</div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; <span class="comment">// If we had an incomplete propagation, it is important to fix all the</span></div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160; <span class="comment">// variables and not relly on the propagation to do so. This is related to the</span></div><div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160; <span class="comment">// InPropagationLoop() code above.</span></div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6554c3addb8705b1ba60140a175de110">CurrentBranchHadAnIncompletePropagation</a>();</div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160; IntegerVariable <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05cc8990d6a349e0c5960019ee47b687">FirstUnassignedVariable</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;</div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160; <span class="comment">// Return true if we can fix new fact at level zero.</span></div><div class="line"><a name="l00971"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac4fc75eea42e935951c766549cf8aa3c"> 971</a></span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac4fc75eea42e935951c766549cf8aa3c">HasPendingRootLevelDeduction</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160; <span class="keywordflow">return</span> !literal_to_fix_.empty() || !integer_literal_to_fix_.empty();</div><div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160; }</div><div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160;</div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160; <span class="keyword">private</span>:</div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160; <span class="comment">// Used for DHECKs to validate the reason given to the public functions above.</span></div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160; <span class="comment">// Tests that all Literal are false. Tests that all IntegerLiteral are true.</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160; <span class="keywordtype">bool</span> ReasonIsValid(absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason);</div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160;</div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160; <span class="comment">// Called by the Enqueue() functions that detected a conflict. This does some</span></div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160; <span class="comment">// common conflict initialization that must terminate by a call to</span></div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160; <span class="comment">// MergeReasonIntoInternal(conflict) where conflict is the returned vector.</span></div><div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160; std::vector&lt;Literal&gt;* InitializeConflict(</div><div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> integer_literal, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675">LazyReasonFunction</a>&amp; lazy_reason,</div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160; absl::Span&lt;const Literal&gt; literals_reason,</div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160; absl::Span&lt;const IntegerLiteral&gt; bounds_reason);</div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160;</div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160; <span class="comment">// Internal implementation of the different public Enqueue() functions.</span></div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> EnqueueInternal(</div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675">LazyReasonFunction</a> lazy_reason,</div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160; absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason,</div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; <span class="keywordtype">int</span> trail_index_with_same_reason);</div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160;</div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160; <span class="comment">// Internal implementation of the EnqueueLiteral() functions.</span></div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160; <span class="keywordtype">void</span> EnqueueLiteralInternal(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675">LazyReasonFunction</a> lazy_reason,</div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160; absl::Span&lt;const Literal&gt; literal_reason,</div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160; absl::Span&lt;const IntegerLiteral&gt; integer_reason);</div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;</div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160; <span class="comment">// Same as EnqueueInternal() but for the case where we push an IntegerLiteral</span></div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160; <span class="comment">// because an associated Literal is true (and we know it). In this case, we</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160; <span class="comment">// have less work to do, so this has the same effect but is faster.</span></div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160; ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> EnqueueAssociatedIntegerLiteral(</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit, <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> literal_reason);</div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;</div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160; <span class="comment">// Does the work of MergeReasonInto() when queue_ is already initialized.</span></div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160; <span class="keywordtype">void</span> MergeReasonIntoInternal(std::vector&lt;Literal&gt;* output) <span class="keyword">const</span>;</div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;</div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160; <span class="comment">// Returns the lowest trail index of a TrailEntry that can be used to explain</span></div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160; <span class="comment">// the given IntegerLiteral. The literal must be currently true (CHECKed).</span></div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160; <span class="comment">// Returns -1 if the explanation is trivial.</span></div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160; <span class="keywordtype">int</span> FindLowestTrailIndexThatExplainBound(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i_lit) <span class="keyword">const</span>;</div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;</div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160; <span class="comment">// This must be called before Dependencies() or AppendLiteralsReason().</span></div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160; <span class="comment">// TODO(user): Not really robust, try to find a better way.</span></div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160; <span class="keywordtype">void</span> ComputeLazyReasonIfNeeded(<span class="keywordtype">int</span> trail_index) <span class="keyword">const</span>;</div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;</div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; <span class="comment">// Helper function to return the &quot;dependencies&quot; of a bound assignment.</span></div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160; <span class="comment">// All the TrailEntry at these indices are part of the reason for this</span></div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160; <span class="comment">// assignment.</span></div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160; <span class="comment">// Important: The returned Span is only valid up to the next call.</span></div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160; absl::Span&lt;const int&gt; Dependencies(<span class="keywordtype">int</span> trail_index) <span class="keyword">const</span>;</div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;</div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; <span class="comment">// Helper function to append the Literal part of the reason for this bound</span></div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160; <span class="comment">// assignment. We use added_variables_ to not add the same literal twice.</span></div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160; <span class="comment">// Note that looking at literal.Variable() is enough since all the literals</span></div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160; <span class="comment">// of a reason must be false.</span></div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160; <span class="keywordtype">void</span> AppendLiteralsReason(<span class="keywordtype">int</span> trail_index,</div><div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160; std::vector&lt;Literal&gt;* output) <span class="keyword">const</span>;</div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;</div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; <span class="comment">// Returns some debugging info.</span></div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160; std::string DebugString();</div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;</div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160; <span class="comment">// Information for each internal variable about its current bound.</span></div><div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160; <span class="keyword">struct </span>VarInfo {</div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160; <span class="comment">// The current bound on this variable.</span></div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160; IntegerValue current_bound;</div><div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;</div><div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160; <span class="comment">// Trail index of the last TrailEntry in the trail referring to this var.</span></div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160; <span class="keywordtype">int</span> current_trail_index;</div><div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160; };</div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, VarInfo&gt;</a> vars_;</div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;</div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160; <span class="comment">// This is used by FindLowestTrailIndexThatExplainBound() and</span></div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160; <span class="comment">// FindTrailIndexOfVarBefore() to speed up the lookup. It keeps a trail index</span></div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160; <span class="comment">// for each variable that may or may not point to a TrailEntry regarding this</span></div><div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160; <span class="comment">// variable. The validity of the index is verified before beeing used.</span></div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160; <span class="comment">// The cache will only be updated with trail_index &gt;= threshold.</span></div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160; <span class="keyword">mutable</span> <span class="keywordtype">int</span> var_trail_index_cache_threshold_ = 0;</div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160; <span class="keyword">mutable</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, int&gt;</a> var_trail_index_cache_;</div><div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;</div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160; <span class="comment">// Used by GetOrCreateConstantIntegerVariable() to return already created</span></div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160; <span class="comment">// constant variables that share the same value.</span></div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160; absl::flat_hash_map&lt;IntegerValue, IntegerVariable&gt; constant_map_;</div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;</div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160; <span class="comment">// The integer trail. It always start by num_vars sentinel values with the</span></div><div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160; <span class="comment">// level 0 bounds (in one to one correspondence with vars_).</span></div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160; <span class="keyword">struct </span>TrailEntry {</div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160; IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>;</div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; int32_t prev_trail_index;</div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;</div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; <span class="comment">// Index in literals_reason_start_/bounds_reason_starts_ If this is -1, then</span></div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; <span class="comment">// this was a propagation with a lazy reason, and the reason can be</span></div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; <span class="comment">// re-created by calling the function lazy_reasons_[trail_index].</span></div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160; int32_t reason_index;</div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; };</div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160; std::vector&lt;TrailEntry&gt; integer_trail_;</div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160; std::vector&lt;LazyReasonFunction&gt; lazy_reasons_;</div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;</div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160; <span class="comment">// Start of each decision levels in integer_trail_.</span></div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160; <span class="comment">// TODO(user): use more general reversible mechanism?</span></div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160; std::vector&lt;int&gt; integer_search_levels_;</div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;</div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160; <span class="comment">// Buffer to store the reason of each trail entry.</span></div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160; <span class="comment">// Note that bounds_reason_buffer_ is an &quot;union&quot;. It initially contains the</span></div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160; <span class="comment">// IntegerLiteral, and is lazily replaced by the result of</span></div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160; <span class="comment">// FindLowestTrailIndexThatExplainBound() applied to these literals. The</span></div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160; <span class="comment">// encoding is a bit hacky, see Dependencies().</span></div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160; std::vector&lt;int&gt; reason_decision_levels_;</div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160; std::vector&lt;int&gt; literals_reason_starts_;</div><div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160; std::vector&lt;int&gt; bounds_reason_starts_;</div><div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160; std::vector&lt;Literal&gt; literals_reason_buffer_;</div><div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;</div><div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160; <span class="comment">// These two vectors are in one to one correspondence. Dependencies() will</span></div><div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160; <span class="comment">// &quot;cache&quot; the result of the conversion from IntegerLiteral to trail indices</span></div><div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160; <span class="comment">// in trail_index_reason_buffer_.</span></div><div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160; std::vector&lt;IntegerLiteral&gt; bounds_reason_buffer_;</div><div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160; <span class="keyword">mutable</span> std::vector&lt;int&gt; trail_index_reason_buffer_;</div><div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;</div><div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160; <span class="comment">// Temporary vector filled by calls to LazyReasonFunction().</span></div><div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160; <span class="keyword">mutable</span> std::vector&lt;Literal&gt; lazy_reason_literals_;</div><div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160; <span class="keyword">mutable</span> std::vector&lt;int&gt; lazy_reason_trail_indices_;</div><div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;</div><div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160; <span class="comment">// The &quot;is_ignored&quot; literal of the optional variables or kNoLiteralIndex.</span></div><div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, LiteralIndex&gt;</a> is_ignored_literals_;</div><div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;</div><div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; <span class="comment">// This is only filled for variables with a domain more complex than a single</span></div><div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160; <span class="comment">// interval of values. var_to_current_lb_interval_index_[var] stores the</span></div><div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160; <span class="comment">// intervals in (*domains_)[var] where the current lower-bound lies.</span></div><div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160; <span class="comment">// TODO(user): Avoid using hash_map here, a simple vector should be more</span></div><div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160; <span class="comment">// efficient, but we need the &quot;rev&quot; aspect.</span></div><div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160; RevMap&lt;absl::flat_hash_map&lt;IntegerVariable, int&gt;&gt;</div><div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160; var_to_current_lb_interval_index_;</div><div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;</div><div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160; <span class="comment">// Temporary data used by MergeReasonInto().</span></div><div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160; <span class="keyword">mutable</span> <span class="keywordtype">bool</span> has_dependency_ = <span class="keyword">false</span>;</div><div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160; <span class="keyword">mutable</span> std::vector&lt;int&gt; tmp_queue_;</div><div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160; <span class="keyword">mutable</span> std::vector&lt;IntegerVariable&gt; tmp_to_clear_;</div><div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160; <span class="keyword">mutable</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, int&gt;</a></div><div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160; tmp_var_to_trail_index_in_queue_;</div><div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160; <span class="keyword">mutable</span> SparseBitset&lt;BooleanVariable&gt; added_variables_;</div><div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;</div><div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160; <span class="comment">// Sometimes we propagate fact with no reason at a positive level, those</span></div><div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160; <span class="comment">// will automatically be fixed on the next restart.</span></div><div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160; <span class="comment">// TODO(user): If we change the logic to not restart right away, we probably</span></div><div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160; <span class="comment">// need to not store duplicates bounds for the same variable.</span></div><div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160; std::vector&lt;Literal&gt; literal_to_fix_;</div><div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160; std::vector&lt;IntegerLiteral&gt; integer_literal_to_fix_;</div><div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;</div><div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160; <span class="comment">// Temporary heap used by RelaxLinearReason();</span></div><div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160; <span class="keyword">struct </span>RelaxHeapEntry {</div><div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160; <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div><div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160; IntegerValue coeff;</div><div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160; int64_t diff;</div><div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160; <span class="keywordtype">bool</span> operator&lt;(<span class="keyword">const</span> RelaxHeapEntry&amp; o)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> &lt; o.index; }</div><div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160; };</div><div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160; <span class="keyword">mutable</span> std::vector&lt;RelaxHeapEntry&gt; relax_heap_;</div><div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160; <span class="keyword">mutable</span> std::vector&lt;int&gt; tmp_indices_;</div><div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;</div><div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160; <span class="comment">// Temporary data used by AppendNewBounds().</span></div><div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160; <span class="keyword">mutable</span> SparseBitset&lt;IntegerVariable&gt; tmp_marked_;</div><div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;</div><div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160; <span class="comment">// For EnqueueLiteral(), we store a special TrailEntry to recover the reason</span></div><div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160; <span class="comment">// lazily. This vector indicates the correspondence between a literal that</span></div><div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160; <span class="comment">// was pushed by this class at a given trail index, and the index of its</span></div><div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160; <span class="comment">// TrailEntry in integer_trail_.</span></div><div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160; std::vector&lt;int&gt; boolean_trail_index_to_integer_one_;</div><div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;</div><div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160; <span class="comment">// We need to know if we skipped some propagation in the current branch.</span></div><div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160; <span class="comment">// This is reverted as we backtrack over it.</span></div><div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160; <span class="keywordtype">int</span> first_level_without_full_propagation_ = -1;</div><div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;</div><div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160; int64_t num_enqueues_ = 0;</div><div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160; int64_t num_untrails_ = 0;</div><div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160; int64_t num_level_zero_enqueues_ = 0;</div><div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; <span class="keyword">mutable</span> int64_t num_decisions_to_break_loop_ = 0;</div><div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;</div><div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160; std::vector&lt;SparseBitset&lt;IntegerVariable&gt;*&gt; watchers_;</div><div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; std::vector&lt;ReversibleInterface*&gt; reversible_classes_;</div><div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;</div><div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160; IntegerDomains* domains_;</div><div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160; IntegerEncoder* encoder_;</div><div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160; Trail* trail_;</div><div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160; <span class="keyword">const</span> SatParameters&amp; parameters_;</div><div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;</div><div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160; <span class="comment">// Temporary &quot;hash&quot; to keep track of all the conditional enqueue that were</span></div><div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160; <span class="comment">// done. Note that we currently do not keep any reason for them, and as such,</span></div><div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160; <span class="comment">// we can only use this in heuristics. See ConditionalLowerBound().</span></div><div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160; absl::flat_hash_map&lt;std::pair&lt;LiteralIndex, IntegerVariable&gt;, IntegerValue&gt;</div><div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160; conditional_lbs_;</div><div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;</div><div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160; DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#afac25f42f6c2024c566846104e0aabba">IntegerTrail</a>);</div><div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;};</div><div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;</div><div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;<span class="comment">// Base class for CP like propagators.</span></div><div class="line"><a name="l01173"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_propagator_interface.html"> 1173</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a> {</div><div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l01175"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_propagator_interface.html#a7ee40d1fcd02211754c29a832ae97019"> 1175</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_propagator_interface.html#a7ee40d1fcd02211754c29a832ae97019">PropagatorInterface</a>() {}</div><div class="line"><a name="l01176"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_propagator_interface.html#a0b6fee10fed5641a012a7658d5fad396"> 1176</a></span>&#160; <span class="keyword">virtual</span> <a class="code" href="classoperations__research_1_1sat_1_1_propagator_interface.html#a0b6fee10fed5641a012a7658d5fad396">~PropagatorInterface</a>() {}</div><div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;</div><div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160; <span class="comment">// This will be called after one or more literals that are watched by this</span></div><div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; <span class="comment">// propagator changed. It will also always be called on the first propagation</span></div><div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160; <span class="comment">// cycle after registration.</span></div><div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160; <span class="keyword">virtual</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_propagator_interface.html#ab355d13060fa36037afa32aa8ddbe62a">Propagate</a>() = 0;</div><div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;</div><div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160; <span class="comment">// This will only be called on a non-empty vector, otherwise Propagate() will</span></div><div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160; <span class="comment">// be called. The passed vector will contain the &quot;watch index&quot; of all the</span></div><div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160; <span class="comment">// literals that were given one at registration and that changed since the</span></div><div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160; <span class="comment">// last call to Propagate(). This is only true when going down in the search</span></div><div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160; <span class="comment">// tree, on backjump this list will be cleared.</span></div><div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160; <span class="comment">// Notes:</span></div><div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160; <span class="comment">// - The indices may contain duplicates if the same integer variable as been</span></div><div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160; <span class="comment">// updated many times or if different watched literals have the same</span></div><div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160; <span class="comment">// watch_index.</span></div><div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160; <span class="comment">// - At level zero, it will not contain any indices associated with literals</span></div><div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160; <span class="comment">// that were already fixed when the propagator was registered. Only the</span></div><div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160; <span class="comment">// indices of the literals modified after the registration will be present.</span></div><div class="line"><a name="l01196"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_propagator_interface.html#aee053ac2dc53cef048aa8e815e9443bb"> 1196</a></span>&#160; <span class="keyword">virtual</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_propagator_interface.html#aee053ac2dc53cef048aa8e815e9443bb">IncrementalPropagate</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; watch_indices) {</div><div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160; <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#acdd38e3c9f22f127d7776920e3079eda">FATAL</a>) &lt;&lt; <span class="stringliteral">&quot;Not implemented.&quot;</span>;</div><div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160; <span class="keywordflow">return</span> <span class="keyword">false</span>; <span class="comment">// Remove warning in Windows</span></div><div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160; }</div><div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;};</div><div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;</div><div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;<span class="comment">// Singleton for basic reversible types. We need the wrapper so that they can be</span></div><div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;<span class="comment">// accessed with model-&gt;GetOrCreate&lt;&gt;() and properly registered at creation.</span></div><div class="line"><a name="l01204"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_rev_int_repository.html"> 1204</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_rev_int_repository.html">RevIntRepository</a> : <span class="keyword">public</span> <a class="code" href="classoperations__research_1_1_rev_repository.html">RevRepository</a>&lt;int&gt; {</div><div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l01206"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_rev_int_repository.html#a453cf85bf65a7a3c1d4ae4dac6568ba1"> 1206</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1sat_1_1_rev_int_repository.html#a453cf85bf65a7a3c1d4ae4dac6568ba1">RevIntRepository</a>(<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="l01207"></a><span class="lineno"> 1207</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_integer_trail.html">IntegerTrail</a>&gt;()-&gt;RegisterReversibleClass(<span class="keyword">this</span>);</div><div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160; }</div><div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;};</div><div class="line"><a name="l01210"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html"> 1210</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html">RevIntegerValueRepository</a> : <span class="keyword">public</span> <a class="code" href="classoperations__research_1_1_rev_repository.html">RevRepository</a>&lt;IntegerValue&gt; {</div><div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l01212"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html#a8b536ca603a352909517bd9797228d1c"> 1212</a></span>&#160; <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html#a8b536ca603a352909517bd9797228d1c">RevIntegerValueRepository</a>(<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="l01213"></a><span class="lineno"> 1213</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_integer_trail.html">IntegerTrail</a>&gt;()-&gt;RegisterReversibleClass(<span class="keyword">this</span>);</div><div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160; }</div><div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;};</div><div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;</div><div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;<span class="comment">// This class allows registering Propagator that will be called if a</span></div><div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;<span class="comment">// watched Literal or LbVar changes.</span></div><div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="comment">// TODO(user): Move this to its own file. Add unit tests!</span></div><div class="line"><a name="l01221"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html"> 1221</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a> : <span class="keyword">public</span> <a class="code" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a> {</div><div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160; <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab0e5f5a9066ecab18c474d867d7ea8d1">GenericLiteralWatcher</a>(<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="l01224"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac5a8490edfd240058f8d61a2547ee999"> 1224</a></span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac5a8490edfd240058f8d61a2547ee999">~GenericLiteralWatcher</a>() final {}</div><div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;</div><div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160; <span class="comment">// On propagate, the registered propagators will be called if they need to</span></div><div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160; <span class="comment">// until a fixed point is reached. Propagators with low ids will tend to be</span></div><div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160; <span class="comment">// called first, but it ultimately depends on their &quot;waking&quot; order.</span></div><div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a1f591be5334541874ba049873235f0a9">Propagate</a>(<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail) <span class="keyword">final</span>;</div><div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#af46d3e8559a1951914b218e3ef4f34c7">Untrail</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail, <span class="keywordtype">int</span> literal_trail_index) <span class="keyword">final</span>;</div><div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;</div><div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160; <span class="comment">// Registers a propagator and returns its unique ids.</span></div><div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<a class="code" href="classoperations__research_1_1sat_1_1_propagator_interface.html">PropagatorInterface</a>* propagator);</div><div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;</div><div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160; <span class="comment">// Changes the priority of the propagator with given id. The priority is a</span></div><div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160; <span class="comment">// non-negative integer. Propagators with a lower priority will always be</span></div><div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160; <span class="comment">// run before the ones with a higher one. The default priority is one.</span></div><div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adc5598223a363c10d95c00395145bcc6">SetPropagatorPriority</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span> priority);</div><div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;</div><div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160; <span class="comment">// The default behavior is to assume that a propagator does not need to be</span></div><div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160; <span class="comment">// called twice in a row. However, propagators on which this is called will be</span></div><div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160; <span class="comment">// called again if they change one of their own watched variables.</span></div><div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aef66ce77e5b87afecf1c5696f44d4d1c">NotifyThatPropagatorMayNotReachFixedPointInOnePass</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>);</div><div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;</div><div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160; <span class="comment">// Whether we call a propagator even if its watched variables didn&#39;t change.</span></div><div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160; <span class="comment">// This is only used when we are back to level zero. This was introduced for</span></div><div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160; <span class="comment">// the LP propagator where we might need to continue an interrupted solve or</span></div><div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160; <span class="comment">// add extra cuts at level zero.</span></div><div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2f8078e3c74ab15964ea42801732313a">AlwaysCallAtLevelZero</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>);</div><div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;</div><div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160; <span class="comment">// Watches the corresponding quantity. The propagator with given id will be</span></div><div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160; <span class="comment">// called if it changes. Note that WatchLiteral() only trigger when the</span></div><div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160; <span class="comment">// literal becomes true.</span></div><div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160; <span class="comment">// If watch_index is specified, it is associated with the watched literal.</span></div><div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160; <span class="comment">// Doing this will cause IncrementalPropagate() to be called (see the</span></div><div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160; <span class="comment">// documentation of this interface for more detail).</span></div><div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">WatchLiteral</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l, <span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span> watch_index = -1);</div><div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span> watch_index = -1);</div><div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span> watch_index = -1);</div><div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(IntegerVariable i, <span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span> watch_index = -1);</div><div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;</div><div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160; <span class="comment">// Because the coeff is always positive, whatching an affine expression is</span></div><div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160; <span class="comment">// the same as watching its var.</span></div><div class="line"><a name="l01265"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a7b3ca961a0e70e21d4a60184c56a27e7"> 1265</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a7b3ca961a0e70e21d4a60184c56a27e7">WatchLowerBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> e, <span class="keywordtype">int</span> <span class="keywordtype">id</span>) {</div><div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(e.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <span class="keywordtype">id</span>);</div><div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160; }</div><div class="line"><a name="l01268"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a85cf893ae4508f0fa329a5954082b084"> 1268</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a85cf893ae4508f0fa329a5954082b084">WatchUpperBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> e, <span class="keywordtype">int</span> <span class="keywordtype">id</span>) {</div><div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(e.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <span class="keywordtype">id</span>);</div><div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160; }</div><div class="line"><a name="l01271"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#abaec50ed809d8f0a1754c9a9225d3b5e"> 1271</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#abaec50ed809d8f0a1754c9a9225d3b5e">WatchAffineExpression</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> e, <span class="keywordtype">int</span> <span class="keywordtype">id</span>) {</div><div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">WatchIntegerVariable</a>(e.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <span class="keywordtype">id</span>);</div><div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160; }</div><div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;</div><div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160; <span class="comment">// No-op overload for &quot;constant&quot; IntegerVariable that are sometimes templated</span></div><div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160; <span class="comment">// as an IntegerValue.</span></div><div class="line"><a name="l01277"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2e07f0354f890e53d0d4f8094343404b"> 1277</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2e07f0354f890e53d0d4f8094343404b">WatchLowerBound</a>(IntegerValue i, <span class="keywordtype">int</span> <span class="keywordtype">id</span>) {}</div><div class="line"><a name="l01278"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aa74bf58824bcaf30a8cf9cdf40b0c51d"> 1278</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aa74bf58824bcaf30a8cf9cdf40b0c51d">WatchUpperBound</a>(IntegerValue i, <span class="keywordtype">int</span> <span class="keywordtype">id</span>) {}</div><div class="line"><a name="l01279"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a51b62062bcf0ca300ba0753a6b2debb8"> 1279</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a51b62062bcf0ca300ba0753a6b2debb8">WatchIntegerVariable</a>(IntegerValue v, <span class="keywordtype">int</span> <span class="keywordtype">id</span>) {}</div><div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;</div><div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160; <span class="comment">// Registers a reversible class with a given propagator. This class will be</span></div><div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160; <span class="comment">// changed to the correct state just before the propagator is called.</span></div><div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160; <span class="comment">// Doing it just before should minimize cache-misses and bundle as much as</span></div><div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160; <span class="comment">// possible the &quot;backtracking&quot; together. Many propagators only watches a</span></div><div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160; <span class="comment">// few variables and will not be called at each decision levels.</span></div><div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8b8fcdc97976ca46ea04a03fd874d9b3">RegisterReversibleClass</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>, <a class="code" href="classoperations__research_1_1_reversible_interface.html">ReversibleInterface</a>* rev);</div><div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;</div><div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160; <span class="comment">// Registers a reversible int with a given propagator. The int will be changed</span></div><div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160; <span class="comment">// to its correct value just before Propagate() is called.</span></div><div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160; <span class="comment">// Note that this will work in O(num_rev_int_of_propagator_id) per call to</span></div><div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160; <span class="comment">// Propagate() and happens at most once per decision level. As such this is</span></div><div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; <span class="comment">// meant for classes that have just a few reversible ints or that will have a</span></div><div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160; <span class="comment">// similar complexity anyway.</span></div><div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160; <span class="comment">// Alternatively, one can directly get the underlying RevRepository&lt;int&gt; with</span></div><div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160; <span class="comment">// a call to model.Get&lt;&gt;(), and use SaveWithStamp() before each modification</span></div><div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160; <span class="comment">// to have just a slight overhead per int updates. This later option is what</span></div><div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160; <span class="comment">// is usually done in a CP solver at the cost of a sligthly more complex API.</span></div><div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8963fd33e7bd70e749b2a37060ef1274">RegisterReversibleInt</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>, <span class="keywordtype">int</span>* rev);</div><div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;</div><div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160; <span class="comment">// Returns the number of registered propagators.</span></div><div class="line"><a name="l01304"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a641d11d8c5503a5204289b47319436ca"> 1304</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a641d11d8c5503a5204289b47319436ca">NumPropagators</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> in_queue_.size(); }</div><div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;</div><div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160; <span class="comment">// Set a callback for new variable bounds at level 0.</span></div><div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160; <span class="comment">// This will be called (only at level zero) with the list of IntegerVariable</span></div><div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160; <span class="comment">// with changed lower bounds. Note that it might be called more than once</span></div><div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160; <span class="comment">// during the same propagation cycle if we fix variables in &quot;stages&quot;.</span></div><div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160; <span class="comment">// Also note that this will be called if some BooleanVariable where fixed even</span></div><div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160; <span class="comment">// if no IntegerVariable are changed, so the passed vector to the function</span></div><div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160; <span class="comment">// might be empty.</span></div><div class="line"><a name="l01315"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a3d619982dcba534a75f6961e8f4a35de"> 1315</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a3d619982dcba534a75f6961e8f4a35de">RegisterLevelZeroModifiedVariablesCallback</a>(</div><div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160; <span class="keyword">const</span> std::function&lt;<span class="keywordtype">void</span>(<span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp;)&gt; cb) {</div><div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; level_zero_modified_variable_callback_.push_back(cb);</div><div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160; }</div><div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;</div><div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160; <span class="comment">// Returns the id of the propagator we are currently calling. This is meant</span></div><div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160; <span class="comment">// to be used from inside Propagate() in case a propagator was registered</span></div><div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160; <span class="comment">// more than once at different priority for instance.</span></div><div class="line"><a name="l01323"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a213ed4b3d803f4f95790931abfe06d77"> 1323</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a213ed4b3d803f4f95790931abfe06d77">GetCurrentId</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> current_id_; }</div><div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;</div><div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160; <span class="keyword">private</span>:</div><div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160; <span class="comment">// Updates queue_ and in_queue_ with the propagator ids that need to be</span></div><div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160; <span class="comment">// called.</span></div><div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160; <span class="keywordtype">void</span> UpdateCallingNeeds(<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div><div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;</div><div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160; <a class="code" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>* time_limit_;</div><div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* integer_trail_;</div><div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_rev_int_repository.html">RevIntRepository</a>* rev_int_repository_;</div><div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;</div><div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160; <span class="keyword">struct </span>WatchData {</div><div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160; <span class="keywordtype">int</span> id;</div><div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160; <span class="keywordtype">int</span> watch_index;</div><div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operator==</a>(<span class="keyword">const</span> WatchData&amp; o)<span class="keyword"> const </span>{</div><div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160; <span class="keywordflow">return</span> <span class="keywordtype">id</span> == o.id &amp;&amp; watch_index == o.watch_index;</div><div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160; }</div><div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160; };</div><div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, std::vector&lt;WatchData&gt;</a>&gt; literal_to_watcher_;</div><div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;IntegerVariable, std::vector&lt;WatchData&gt;</a>&gt; var_to_watcher_;</div><div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160; std::vector&lt;PropagatorInterface*&gt; watchers_;</div><div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160; SparseBitset&lt;IntegerVariable&gt; modified_vars_;</div><div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;</div><div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; <span class="comment">// Propagator ids that needs to be called. There is one queue per priority but</span></div><div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160; <span class="comment">// just one Boolean to indicate if a propagator is in one of them.</span></div><div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160; std::vector&lt;std::deque&lt;int&gt;&gt; queue_by_priority_;</div><div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160; std::vector&lt;bool&gt; in_queue_;</div><div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;</div><div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160; <span class="comment">// Data for each propagator.</span></div><div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160; DEFINE_INT_TYPE(IdType, int32_t);</div><div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160; std::vector&lt;int&gt; id_to_level_at_last_call_;</div><div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160; RevVector&lt;IdType, int&gt; id_to_greatest_common_level_since_last_call_;</div><div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160; std::vector&lt;std::vector&lt;ReversibleInterface*&gt;&gt; id_to_reversible_classes_;</div><div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160; std::vector&lt;std::vector&lt;int*&gt;&gt; id_to_reversible_ints_;</div><div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160; std::vector&lt;std::vector&lt;int&gt;&gt; id_to_watch_indices_;</div><div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160; std::vector&lt;int&gt; id_to_priority_;</div><div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160; std::vector&lt;int&gt; id_to_idempotence_;</div><div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;</div><div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160; <span class="comment">// Special propagators that needs to always be called at level zero.</span></div><div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160; std::vector&lt;int&gt; propagator_ids_to_call_at_level_zero_;</div><div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;</div><div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160; <span class="comment">// The id of the propagator we just called.</span></div><div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160; <span class="keywordtype">int</span> current_id_;</div><div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;</div><div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160; std::vector&lt;std::function&lt;void(<span class="keyword">const</span> std::vector&lt;IntegerVariable&gt;&amp;)&gt;&gt;</div><div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160; level_zero_modified_variable_callback_;</div><div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;</div><div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160; DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab0e5f5a9066ecab18c474d867d7ea8d1">GenericLiteralWatcher</a>);</div><div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;};</div><div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;</div><div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;<span class="comment">// ============================================================================</span></div><div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;<span class="comment">// Implementation.</span></div><div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;<span class="comment">// ============================================================================</span></div><div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;</div><div class="line"><a name="l01377"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63"> 1377</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(IntegerVariable i,</div><div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160; IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) {</div><div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">IntegerLiteral</a>(</div><div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160; i, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> ? <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> + 1 : <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>);</div><div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160;}</div><div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160;</div><div class="line"><a name="l01383"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f"> 1383</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(IntegerVariable i,</div><div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160; IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>) {</div><div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">IntegerLiteral</a>(</div><div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(i), <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &lt; <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a> ? <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> + 1 : -<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a>);</div><div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;}</div><div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;</div><div class="line"><a name="l01389"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de"> 1389</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">IntegerLiteral::TrueLiteral</a>() {</div><div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">IntegerLiteral</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>, IntegerValue(-1));</div><div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160;}</div><div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;</div><div class="line"><a name="l01393"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#adbdd6b45455ab6d7e3e32166f40dc3b1"> 1393</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#adbdd6b45455ab6d7e3e32166f40dc3b1">IntegerLiteral::FalseLiteral</a>() {</div><div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">IntegerLiteral</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>, IntegerValue(1));</div><div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160;}</div><div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160;</div><div class="line"><a name="l01397"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_integer_literal.html#acdf4fa2b01f966a49e7274343f52dd52"> 1397</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#acdf4fa2b01f966a49e7274343f52dd52">IntegerLiteral::Negated</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160; <span class="comment">// Note that bound &gt;= kMinIntegerValue, so -bound + 1 will have the correct</span></div><div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160; <span class="comment">// capped value.</span></div><div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">IntegerLiteral</a>(</div><div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(IntegerVariable(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>)),</div><div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a> ? <a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">kMinIntegerValue</a> : -<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> + 1);</div><div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160;}</div><div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160;</div><div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160;<span class="comment">// var * coeff + constant &gt;= bound.</span></div><div class="line"><a name="l01406"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164"> 1406</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164">AffineExpression::GreaterOrEqual</a>(</div><div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160; IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div><div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> &gt;= <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> ? <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">IntegerLiteral::TrueLiteral</a>()</div><div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160; : <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#adbdd6b45455ab6d7e3e32166f40dc3b1">IntegerLiteral::FalseLiteral</a>();</div><div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160; }</div><div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160; <a class="code" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>, 0);</div><div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>,</div><div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160; <a class="code" href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">CeilRatio</a>(<a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> - <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>));</div><div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;}</div><div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160;</div><div class="line"><a name="l01417"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a28cbd6e2dabb0cf8c041d03b02997a5a"> 1417</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164">AffineExpression::GreaterOrEqual</a>(int64_t <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164">GreaterOrEqual</a>(IntegerValue(<a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>));</div><div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160;}</div><div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;</div><div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160;<span class="comment">// var * coeff + constant &lt;= bound.</span></div><div class="line"><a name="l01422"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27"> 1422</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27">AffineExpression::LowerOrEqual</a>(IntegerValue <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) {</div><div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a> &lt;= <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> ? <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">IntegerLiteral::TrueLiteral</a>()</div><div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160; : <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#adbdd6b45455ab6d7e3e32166f40dc3b1">IntegerLiteral::FalseLiteral</a>();</div><div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160; }</div><div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160; <a class="code" href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>, 0);</div><div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <a class="code" href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">FloorRatio</a>(<a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a> - <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a>));</div><div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;}</div><div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;</div><div class="line"><a name="l01431"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_affine_expression.html#afa4626e9e150c4b3b2d46b11c7dc7845"> 1431</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27">AffineExpression::LowerOrEqual</a>(int64_t <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27">LowerOrEqual</a>(IntegerValue(<a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>));</div><div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;}</div><div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;</div><div class="line"><a name="l01435"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9"> 1435</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">IntegerTrail::LowerBound</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160; <span class="keywordflow">return</span> vars_[i].current_bound;</div><div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;}</div><div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;</div><div class="line"><a name="l01439"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac"> 1439</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">IntegerTrail::UpperBound</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160; <span class="keywordflow">return</span> -vars_[<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(i)].current_bound;</div><div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160;}</div><div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160;</div><div class="line"><a name="l01443"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117"> 1443</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IntegerTrail::IsFixed</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160; <span class="keywordflow">return</span> vars_[i].current_bound == -vars_[<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(i)].current_bound;</div><div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160;}</div><div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160;</div><div class="line"><a name="l01447"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf"> 1447</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">IntegerTrail::FixedValue</a>(IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160; <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(i));</div><div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>&#160; <span class="keywordflow">return</span> vars_[i].current_bound;</div><div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160;}</div><div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160;</div><div class="line"><a name="l01452"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52"> 1452</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52">IntegerTrail::ConditionalLowerBound</a>(</div><div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l, IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span> it = conditional_lbs_.find({l.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>(), i});</div><div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>&#160; <span class="keywordflow">if</span> (it != conditional_lbs_.end()) {</div><div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160; <span class="keywordflow">return</span> <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(vars_[i].current_bound, it-&gt;second);</div><div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160; }</div><div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160; <span class="keywordflow">return</span> vars_[i].current_bound;</div><div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160;}</div><div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160;</div><div class="line"><a name="l01461"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a08f9befdf8c2f2aa2d1abfb89103209a"> 1461</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52">IntegerTrail::ConditionalLowerBound</a>(</div><div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l, <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52">ConditionalLowerBound</a>(l, expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> + expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160;}</div><div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160;</div><div class="line"><a name="l01467"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c"> 1467</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">IntegerTrail::LowerBoundAsLiteral</a>(</div><div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160; IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(i, <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(i));</div><div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160;}</div><div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160;</div><div class="line"><a name="l01472"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465"> 1472</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">IntegerTrail::UpperBoundAsLiteral</a>(</div><div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160; IntegerVariable i)<span class="keyword"> const </span>{</div><div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(i, <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(i));</div><div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160;}</div><div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160;</div><div class="line"><a name="l01477"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a089d6d9a821cb49ec35c5e15287a2e9f"> 1477</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">IntegerTrail::LowerBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> + expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01480"></a><span class="lineno"> 1480</span>&#160;}</div><div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>&#160;</div><div class="line"><a name="l01482"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a6b12a2ffc1e3b7784483db340aadbb82"> 1482</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">IntegerTrail::UpperBound</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> + expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>&#160;}</div><div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>&#160;</div><div class="line"><a name="l01487"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a91f48a6953e9ad66a34e9eff1b3d5439"> 1487</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IntegerTrail::IsFixed</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">IsFixed</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>);</div><div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>&#160;}</div><div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>&#160;</div><div class="line"><a name="l01492"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a5eb5fcee869ba86aa86163ef5d996e42"> 1492</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">IntegerTrail::FixedValue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01494"></a><span class="lineno"> 1494</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">FixedValue</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>) * expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">coeff</a> + expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>&#160;}</div><div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>&#160;</div><div class="line"><a name="l01497"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa8525feb2d12998583ade6d2139e1b09"> 1497</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">IntegerTrail::LowerBoundAsLiteral</a>(</div><div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">IntegerLiteral::TrueLiteral</a>();</div><div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>));</div><div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160;}</div><div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>&#160;</div><div class="line"><a name="l01503"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a36b8cdecabd9f61fb2ca016f07cb7651"> 1503</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">IntegerTrail::UpperBoundAsLiteral</a>(</div><div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">IntegerLiteral::TrueLiteral</a>();</div><div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>&#160; <span class="keywordflow">return</span> <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>, <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>));</div><div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>&#160;}</div><div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160;</div><div class="line"><a name="l01509"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab1619165d8afe26e20af4d8d80bf2956"> 1509</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab1619165d8afe26e20af4d8d80bf2956">IntegerTrail::IntegerLiteralIsTrue</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> l)<span class="keyword"> const </span>{</div><div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160; <span class="keywordflow">return</span> l.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &lt;= <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(l.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>);</div><div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160;}</div><div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160;</div><div class="line"><a name="l01513"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#adf3a30cc102861886504a5db480fdaad"> 1513</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#adf3a30cc102861886504a5db480fdaad">IntegerTrail::IntegerLiteralIsFalse</a>(<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> l)<span class="keyword"> const </span>{</div><div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160; <span class="keywordflow">return</span> l.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &gt; <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(l.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>);</div><div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160;}</div><div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160;</div><div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>&#160;<span class="comment">// The level zero bounds are stored at the beginning of the trail and they also</span></div><div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>&#160;<span class="comment">// serves as sentinels. Their index match the variables index.</span></div><div class="line"><a name="l01519"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b"> 1519</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">IntegerTrail::LevelZeroLowerBound</a>(</div><div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>&#160; <span class="keywordflow">return</span> integer_trail_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value()].bound;</div><div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160;}</div><div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160;</div><div class="line"><a name="l01524"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08"> 1524</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">IntegerTrail::LevelZeroUpperBound</a>(</div><div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160; <span class="keywordflow">return</span> -integer_trail_[<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>).value()].bound;</div><div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160;}</div><div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160;</div><div class="line"><a name="l01529"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7"> 1529</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">IntegerTrail::IsFixedAtLevelZero</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)<span class="keyword"> const </span>{</div><div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>&#160; <span class="keywordflow">return</span> integer_trail_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value()].bound ==</div><div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>&#160; -integer_trail_[<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>).value()].bound;</div><div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>&#160;}</div><div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>&#160;</div><div class="line"><a name="l01534"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a7f09dbe7affb7129245237ca7aa3c417"> 1534</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">IntegerTrail::LevelZeroLowerBound</a>(</div><div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160; <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">LevelZeroLowerBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>));</div><div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160;}</div><div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160;</div><div class="line"><a name="l01540"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a3392832d880e2344c0535c91c33d6cba"> 1540</a></span>&#160;<span class="keyword">inline</span> IntegerValue <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">IntegerTrail::LevelZeroUpperBound</a>(</div><div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">constant</a>;</div><div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>&#160; <span class="keywordflow">return</span> expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">ValueAt</a>(<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">LevelZeroUpperBound</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>));</div><div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>&#160;}</div><div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>&#160;</div><div class="line"><a name="l01546"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_integer_trail.html#a50f4b156808b83eed924c29fc7a91a56"> 1546</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">IntegerTrail::IsFixedAtLevelZero</a>(<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html">AffineExpression</a> expr)<span class="keyword"> const </span>{</div><div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>&#160; <span class="keywordflow">if</span> (expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160; <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">IsFixedAtLevelZero</a>(expr.<a class="code" href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">var</a>);</div><div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>&#160;}</div><div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>&#160;</div><div class="line"><a name="l01551"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170"> 1551</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">GenericLiteralWatcher::WatchLiteral</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l, <span class="keywordtype">int</span> <span class="keywordtype">id</span>,</div><div class="line"><a name="l01552"></a><span class="lineno"> 1552</span>&#160; <span class="keywordtype">int</span> watch_index) {</div><div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>&#160; <span class="keywordflow">if</span> (l.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>() &gt;= literal_to_watcher_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) {</div><div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>&#160; literal_to_watcher_.<a class="code" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(l.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>().value() + 1);</div><div class="line"><a name="l01555"></a><span class="lineno"> 1555</span>&#160; }</div><div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>&#160; literal_to_watcher_[l.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()].<a class="code" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>({id, watch_index});</div><div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>&#160;}</div><div class="line"><a name="l01558"></a><span class="lineno"> 1558</span>&#160;</div><div class="line"><a name="l01559"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413"> 1559</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">GenericLiteralWatcher::WatchLowerBound</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">int</span> <span class="keywordtype">id</span>,</div><div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>&#160; <span class="keywordtype">int</span> watch_index) {</div><div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() &gt;= var_to_watcher_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) {</div><div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>&#160; var_to_watcher_.<a class="code" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>.value() + 1);</div><div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>&#160; }</div><div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>&#160;</div><div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>&#160; <span class="comment">// Minor optim, so that we don&#39;t watch the same variable twice. Propagator</span></div><div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>&#160; <span class="comment">// code is easier this way since for example when one wants to watch both</span></div><div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>&#160; <span class="comment">// an interval start and interval end, both might have the same underlying</span></div><div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>&#160; <span class="comment">// variable.</span></div><div class="line"><a name="l01570"></a><span class="lineno"> 1570</span>&#160; <span class="keyword">const</span> WatchData data = {id, watch_index};</div><div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>&#160; <span class="keywordflow">if</span> (!var_to_watcher_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].empty() &amp;&amp; var_to_watcher_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].<a class="code" href="classabsl_1_1_strong_vector.html#af71e6c1eccbc12e9339c00a86a981a43">back</a>() == data) {</div><div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>&#160; }</div><div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>&#160; var_to_watcher_[<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>].<a class="code" href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(data);</div><div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>&#160;}</div><div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>&#160;</div><div class="line"><a name="l01577"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111"> 1577</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">GenericLiteralWatcher::WatchUpperBound</a>(IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">int</span> <span class="keywordtype">id</span>,</div><div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>&#160; <span class="keywordtype">int</span> watch_index) {</div><div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span>;</div><div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">NegationOf</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>), <span class="keywordtype">id</span>, watch_index);</div><div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>&#160;}</div><div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>&#160;</div><div class="line"><a name="l01583"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646"> 1583</a></span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">GenericLiteralWatcher::WatchIntegerVariable</a>(IntegerVariable i,</div><div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>&#160; <span class="keywordtype">int</span> <span class="keywordtype">id</span>,</div><div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>&#160; <span class="keywordtype">int</span> watch_index) {</div><div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(i, <span class="keywordtype">id</span>, watch_index);</div><div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">WatchUpperBound</a>(i, <span class="keywordtype">id</span>, watch_index);</div><div class="line"><a name="l01588"></a><span class="lineno"> 1588</span>&#160;}</div><div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>&#160;</div><div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>&#160;<span class="comment">// ============================================================================</span></div><div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>&#160;<span class="comment">// Model based functions.</span></div><div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>&#160;<span class="comment">// Note that in the model API, we simply use int64_t for the integer values, so</span></div><div class="line"><a name="l01594"></a><span class="lineno"> 1594</span>&#160;<span class="comment">// that it is nicer for the client. Internally these are converted to</span></div><div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>&#160;<span class="comment">// IntegerValue which is typechecked.</span></div><div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>&#160;<span class="comment">// ============================================================================</span></div><div class="line"><a name="l01597"></a><span class="lineno"> 1597</span>&#160;</div><div class="line"><a name="l01598"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3"> 1598</a></span>&#160;<span class="keyword">inline</span> std::function&lt;BooleanVariable(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>() {</div><div class="line"><a name="l01599"></a><span class="lineno"> 1599</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="l01600"></a><span class="lineno"> 1600</span>&#160; <span class="keywordflow">return</span> <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;<a class="code" href="namespaceoperations__research_1_1sat.html#a38766514ce4824ae1e093a25d7fb43b3">NewBooleanVariable</a>();</div><div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>&#160; };</div><div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>&#160;}</div><div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>&#160;</div><div class="line"><a name="l01604"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#aed31a6423a802b782c349c6b297ae1d6"> 1604</a></span>&#160;<span class="keyword">inline</span> std::function&lt;IntegerVariable(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#aed31a6423a802b782c349c6b297ae1d6">ConstantIntegerVariable</a>(</div><div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>&#160; int64_t <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div><div class="line"><a name="l01606"></a><span class="lineno"> 1606</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="l01607"></a><span class="lineno"> 1607</span>&#160; <span class="keywordflow">return</span> <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="l01608"></a><span class="lineno"> 1608</span>&#160; -&gt;GetOrCreateConstantIntegerVariable(IntegerValue(<a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div><div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>&#160; };</div><div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>&#160;}</div><div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>&#160;</div><div class="line"><a name="l01612"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e"> 1612</a></span>&#160;<span class="keyword">inline</span> std::function&lt;IntegerVariable(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(int64_t lb,</div><div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>&#160; int64_t ub) {</div><div class="line"><a name="l01614"></a><span class="lineno"> 1614</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="l01615"></a><span class="lineno"> 1615</span>&#160; <a class="code" href="base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c">CHECK_LE</a>(lb, ub);</div><div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>&#160; <span class="keywordflow">return</span> <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;()-&gt;AddIntegerVariable(</div><div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>&#160; IntegerValue(lb), IntegerValue(ub));</div><div class="line"><a name="l01618"></a><span class="lineno"> 1618</span>&#160; };</div><div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>&#160;}</div><div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>&#160;</div><div class="line"><a name="l01621"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a260682570977dfa23fd5ba15f77b5f5f"> 1621</a></span>&#160;<span class="keyword">inline</span> std::function&lt;IntegerVariable(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(</div><div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_domain.html">Domain</a>&amp; domain) {</div><div class="line"><a name="l01623"></a><span class="lineno"> 1623</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="l01624"></a><span class="lineno"> 1624</span>&#160; <span class="keywordflow">return</span> <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;()-&gt;AddIntegerVariable(domain);</div><div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>&#160; };</div><div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>&#160;}</div><div class="line"><a name="l01627"></a><span class="lineno"> 1627</span>&#160;</div><div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>&#160;<span class="comment">// Creates a 0-1 integer variable &quot;view&quot; of the given literal. It will have a</span></div><div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>&#160;<span class="comment">// value of 1 when the literal is true, and 0 when the literal is false.</span></div><div class="line"><a name="l01630"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e"> 1630</a></span>&#160;<span class="keyword">inline</span> std::function&lt;IntegerVariable(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">NewIntegerVariableFromLiteral</a>(</div><div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> lit) {</div><div class="line"><a name="l01632"></a><span class="lineno"> 1632</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="l01633"></a><span class="lineno"> 1633</span>&#160; <span class="keyword">auto</span>* 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="l01634"></a><span class="lineno"> 1634</span>&#160; <span class="keyword">const</span> IntegerVariable candidate = encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">GetLiteralView</a>(lit);</div><div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>&#160; <span class="keywordflow">if</span> (candidate != <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>) <span class="keywordflow">return</span> candidate;</div><div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>&#160;</div><div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div><div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>&#160; <span class="keyword">const</span> <span class="keyword">auto</span>&amp; assignment = <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;<a class="code" href="classoperations__research_1_1_assignment.html">Assignment</a>();</div><div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>&#160; <span class="keywordflow">if</span> (assignment.LiteralIsTrue(lit)) {</div><div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>&#160; <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#aed31a6423a802b782c349c6b297ae1d6">ConstantIntegerVariable</a>(1));</div><div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (assignment.LiteralIsFalse(lit)) {</div><div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>&#160; <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#aed31a6423a802b782c349c6b297ae1d6">ConstantIntegerVariable</a>(0));</div><div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>&#160; <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#a9d8cd5de7be4a42157145228a43d177e">NewIntegerVariable</a>(0, 1));</div><div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>&#160; }</div><div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>&#160;</div><div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>&#160; encoder-&gt;AssociateToIntegerEqualValue(lit, <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, IntegerValue(1));</div><div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>&#160; <a class="code" href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a>(encoder-&gt;GetLiteralView(lit), <a class="code" href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">kNoIntegerVariable</a>);</div><div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>&#160; <span class="keywordflow">return</span> <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div><div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>&#160; };</div><div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>&#160;}</div><div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>&#160;</div><div class="line"><a name="l01653"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3"> 1653</a></span>&#160;<span class="keyword">inline</span> std::function&lt;int64_t(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp;)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3">LowerBound</a>(IntegerVariable v) {</div><div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>&#160; <span class="keywordflow">return</span> [=](<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>&#160; <span class="keywordflow">return</span> <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code" href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3">LowerBound</a>(v).value();</div><div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>&#160; };</div><div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>&#160;}</div><div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>&#160;</div><div class="line"><a name="l01659"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c"> 1659</a></span>&#160;<span class="keyword">inline</span> std::function&lt;int64_t(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp;)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c">UpperBound</a>(IntegerVariable v) {</div><div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>&#160; <span class="keywordflow">return</span> [=](<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l01661"></a><span class="lineno"> 1661</span>&#160; <span class="keywordflow">return</span> <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;()-&gt;<a class="code" href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c">UpperBound</a>(v).value();</div><div class="line"><a name="l01662"></a><span class="lineno"> 1662</span>&#160; };</div><div class="line"><a name="l01663"></a><span class="lineno"> 1663</span>&#160;}</div><div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>&#160;</div><div class="line"><a name="l01665"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d"> 1665</a></span>&#160;<span class="keyword">inline</span> std::function&lt;bool(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp;)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d">IsFixed</a>(IntegerVariable v) {</div><div class="line"><a name="l01666"></a><span class="lineno"> 1666</span>&#160; <span class="keywordflow">return</span> [=](<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l01668"></a><span class="lineno"> 1668</span>&#160; <span class="keywordflow">return</span> trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(v) == trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(v);</div><div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>&#160; };</div><div class="line"><a name="l01670"></a><span class="lineno"> 1670</span>&#160;}</div><div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>&#160;</div><div class="line"><a name="l01672"></a><span class="lineno"> 1672</span>&#160;<span class="comment">// This checks that the variable is fixed.</span></div><div class="line"><a name="l01673"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a3bd2b0a66b0f1c16476487ad3ddc72ea"> 1673</a></span>&#160;<span class="keyword">inline</span> std::function&lt;int64_t(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp;)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a3bd2b0a66b0f1c16476487ad3ddc72ea">Value</a>(IntegerVariable v) {</div><div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>&#160; <span class="keywordflow">return</span> [=](<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>&amp; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>&#160; <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>* trail = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Get&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>&gt;();</div><div class="line"><a name="l01676"></a><span class="lineno"> 1676</span>&#160; <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(v), trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(v)) &lt;&lt; v;</div><div class="line"><a name="l01677"></a><span class="lineno"> 1677</span>&#160; <span class="keywordflow">return</span> trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(v).value();</div><div class="line"><a name="l01678"></a><span class="lineno"> 1678</span>&#160; };</div><div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>&#160;}</div><div class="line"><a name="l01680"></a><span class="lineno"> 1680</span>&#160;</div><div class="line"><a name="l01681"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a0dedef72c691d332e0e1cc092bc01bc8"> 1681</a></span>&#160;<span class="keyword">inline</span> 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#a0dedef72c691d332e0e1cc092bc01bc8">GreaterOrEqual</a>(IntegerVariable v,</div><div class="line"><a name="l01682"></a><span class="lineno"> 1682</span>&#160; int64_t lb) {</div><div class="line"><a name="l01683"></a><span class="lineno"> 1683</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="l01684"></a><span class="lineno"> 1684</span>&#160; <span class="keywordflow">if</span> (!<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;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div><div class="line"><a name="l01685"></a><span class="lineno"> 1685</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(v, IntegerValue(lb)),</div><div class="line"><a name="l01686"></a><span class="lineno"> 1686</span>&#160; std::vector&lt;Literal&gt;(), std::vector&lt;IntegerLiteral&gt;())) {</div><div class="line"><a name="l01687"></a><span class="lineno"> 1687</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="l01688"></a><span class="lineno"> 1688</span>&#160; <a class="code" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Model trivially infeasible, variable &quot;</span> &lt;&lt; v</div><div class="line"><a name="l01689"></a><span class="lineno"> 1689</span>&#160; &lt;&lt; <span class="stringliteral">&quot; has upper bound &quot;</span> &lt;&lt; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code" href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c">UpperBound</a>(v))</div><div class="line"><a name="l01690"></a><span class="lineno"> 1690</span>&#160; &lt;&lt; <span class="stringliteral">&quot; and GreaterOrEqual() was called with a lower bound of &quot;</span></div><div class="line"><a name="l01691"></a><span class="lineno"> 1691</span>&#160; &lt;&lt; lb;</div><div class="line"><a name="l01692"></a><span class="lineno"> 1692</span>&#160; }</div><div class="line"><a name="l01693"></a><span class="lineno"> 1693</span>&#160; };</div><div class="line"><a name="l01694"></a><span class="lineno"> 1694</span>&#160;}</div><div class="line"><a name="l01695"></a><span class="lineno"> 1695</span>&#160;</div><div class="line"><a name="l01696"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a9b1f29e2e2079dc31e89749c9a33bc01"> 1696</a></span>&#160;<span class="keyword">inline</span> 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#a9b1f29e2e2079dc31e89749c9a33bc01">LowerOrEqual</a>(IntegerVariable v, int64_t ub) {</div><div class="line"><a name="l01697"></a><span class="lineno"> 1697</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="l01698"></a><span class="lineno"> 1698</span>&#160; <span class="keywordflow">if</span> (!<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;()-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div><div class="line"><a name="l01699"></a><span class="lineno"> 1699</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(v, IntegerValue(ub)),</div><div class="line"><a name="l01700"></a><span class="lineno"> 1700</span>&#160; std::vector&lt;Literal&gt;(), std::vector&lt;IntegerLiteral&gt;())) {</div><div class="line"><a name="l01701"></a><span class="lineno"> 1701</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="l01702"></a><span class="lineno"> 1702</span>&#160; <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#a50e5762f38854b37ee3e2851bc1bb0e7">WARNING</a>) &lt;&lt; <span class="stringliteral">&quot;Model trivially infeasible, variable &quot;</span> &lt;&lt; v</div><div class="line"><a name="l01703"></a><span class="lineno"> 1703</span>&#160; &lt;&lt; <span class="stringliteral">&quot; has lower bound &quot;</span> &lt;&lt; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Get(<a class="code" href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3">LowerBound</a>(v))</div><div class="line"><a name="l01704"></a><span class="lineno"> 1704</span>&#160; &lt;&lt; <span class="stringliteral">&quot; and LowerOrEqual() was called with an upper bound of &quot;</span></div><div class="line"><a name="l01705"></a><span class="lineno"> 1705</span>&#160; &lt;&lt; ub;</div><div class="line"><a name="l01706"></a><span class="lineno"> 1706</span>&#160; }</div><div class="line"><a name="l01707"></a><span class="lineno"> 1707</span>&#160; };</div><div class="line"><a name="l01708"></a><span class="lineno"> 1708</span>&#160;}</div><div class="line"><a name="l01709"></a><span class="lineno"> 1709</span>&#160;</div><div class="line"><a name="l01710"></a><span class="lineno"> 1710</span>&#160;<span class="comment">// Fix v to a given value.</span></div><div class="line"><a name="l01711"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab65fbf2d7c21debfcc30834498c8ef36"> 1711</a></span>&#160;<span class="keyword">inline</span> 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#ab65fbf2d7c21debfcc30834498c8ef36">Equality</a>(IntegerVariable v, int64_t <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) {</div><div class="line"><a name="l01712"></a><span class="lineno"> 1712</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="l01713"></a><span class="lineno"> 1713</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a9b1f29e2e2079dc31e89749c9a33bc01">LowerOrEqual</a>(v, <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div><div class="line"><a name="l01714"></a><span class="lineno"> 1714</span>&#160; <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a0dedef72c691d332e0e1cc092bc01bc8">GreaterOrEqual</a>(v, <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>));</div><div class="line"><a name="l01715"></a><span class="lineno"> 1715</span>&#160; };</div><div class="line"><a name="l01716"></a><span class="lineno"> 1716</span>&#160;}</div><div class="line"><a name="l01717"></a><span class="lineno"> 1717</span>&#160;</div><div class="line"><a name="l01718"></a><span class="lineno"> 1718</span>&#160;<span class="comment">// TODO(user): This is one of the rare case where it is better to use Equality()</span></div><div class="line"><a name="l01719"></a><span class="lineno"> 1719</span>&#160;<span class="comment">// rather than two Implications(). Maybe we should modify our internal</span></div><div class="line"><a name="l01720"></a><span class="lineno"> 1720</span>&#160;<span class="comment">// implementation to use half-reified encoding? that is do not propagate the</span></div><div class="line"><a name="l01721"></a><span class="lineno"> 1721</span>&#160;<span class="comment">// direction integer-bound =&gt; literal, but just literal =&gt; integer-bound? This</span></div><div class="line"><a name="l01722"></a><span class="lineno"> 1722</span>&#160;<span class="comment">// is the same as using different underlying variable for an integer literal and</span></div><div class="line"><a name="l01723"></a><span class="lineno"> 1723</span>&#160;<span class="comment">// its negation.</span></div><div class="line"><a name="l01724"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a8a0620c105ec05f1b42bcde3a9380872"> 1724</a></span>&#160;<span class="keyword">inline</span> 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#a8a0620c105ec05f1b42bcde3a9380872">Implication</a>(</div><div class="line"><a name="l01725"></a><span class="lineno"> 1725</span>&#160; <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; enforcement_literals, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html">IntegerLiteral</a> i) {</div><div class="line"><a name="l01726"></a><span class="lineno"> 1726</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="l01727"></a><span class="lineno"> 1727</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="l01728"></a><span class="lineno"> 1728</span>&#160; <span class="keywordflow">if</span> (i.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &lt;= integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(i.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>)) {</div><div class="line"><a name="l01729"></a><span class="lineno"> 1729</span>&#160; <span class="comment">// Always true! nothing to do.</span></div><div class="line"><a name="l01730"></a><span class="lineno"> 1730</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">bound</a> &gt; integer_trail-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">UpperBound</a>(i.<a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">var</a>)) {</div><div class="line"><a name="l01731"></a><span class="lineno"> 1731</span>&#160; <span class="comment">// Always false.</span></div><div class="line"><a name="l01732"></a><span class="lineno"> 1732</span>&#160; std::vector&lt;Literal&gt; clause;</div><div class="line"><a name="l01733"></a><span class="lineno"> 1733</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcement_literals) {</div><div class="line"><a name="l01734"></a><span class="lineno"> 1734</span>&#160; clause.push_back(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div><div class="line"><a name="l01735"></a><span class="lineno"> 1735</span>&#160; }</div><div class="line"><a name="l01736"></a><span class="lineno"> 1736</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="l01737"></a><span class="lineno"> 1737</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l01738"></a><span class="lineno"> 1738</span>&#160; <span class="comment">// TODO(user): Double check what happen when we associate a trivially</span></div><div class="line"><a name="l01739"></a><span class="lineno"> 1739</span>&#160; <span class="comment">// true or false literal.</span></div><div class="line"><a name="l01740"></a><span class="lineno"> 1740</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l01741"></a><span class="lineno"> 1741</span>&#160; std::vector&lt;Literal&gt; clause{encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#afcd4038298bec97a2f7a61274c6ef8c7">GetOrCreateAssociatedLiteral</a>(i)};</div><div class="line"><a name="l01742"></a><span class="lineno"> 1742</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a> : enforcement_literals) {</div><div class="line"><a name="l01743"></a><span class="lineno"> 1743</span>&#160; clause.push_back(<a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div><div class="line"><a name="l01744"></a><span class="lineno"> 1744</span>&#160; }</div><div class="line"><a name="l01745"></a><span class="lineno"> 1745</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="l01746"></a><span class="lineno"> 1746</span>&#160; }</div><div class="line"><a name="l01747"></a><span class="lineno"> 1747</span>&#160; };</div><div class="line"><a name="l01748"></a><span class="lineno"> 1748</span>&#160;}</div><div class="line"><a name="l01749"></a><span class="lineno"> 1749</span>&#160;</div><div class="line"><a name="l01750"></a><span class="lineno"> 1750</span>&#160;<span class="comment">// in_interval =&gt; v in [lb, ub].</span></div><div class="line"><a name="l01751"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ab64f722552fba2040a38391d93f75b28"> 1751</a></span>&#160;<span class="keyword">inline</span> 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#ab64f722552fba2040a38391d93f75b28">ImpliesInInterval</a>(<a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> in_interval,</div><div class="line"><a name="l01752"></a><span class="lineno"> 1752</span>&#160; IntegerVariable v,</div><div class="line"><a name="l01753"></a><span class="lineno"> 1753</span>&#160; int64_t lb, int64_t ub) {</div><div class="line"><a name="l01754"></a><span class="lineno"> 1754</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="l01755"></a><span class="lineno"> 1755</span>&#160; <span class="keywordflow">if</span> (lb == ub) {</div><div class="line"><a name="l01756"></a><span class="lineno"> 1756</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l01757"></a><span class="lineno"> 1757</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>({in_interval},</div><div class="line"><a name="l01758"></a><span class="lineno"> 1758</span>&#160; encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a074fe196a1aaff1dd5fd73e0b3bb1f0e">GetOrCreateLiteralAssociatedToEquality</a>(</div><div class="line"><a name="l01759"></a><span class="lineno"> 1759</span>&#160; v, IntegerValue(lb))));</div><div class="line"><a name="l01760"></a><span class="lineno"> 1760</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l01761"></a><span class="lineno"> 1761</span>&#160; }</div><div class="line"><a name="l01762"></a><span class="lineno"> 1762</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>(</div><div class="line"><a name="l01763"></a><span class="lineno"> 1763</span>&#160; {in_interval}, <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(v, IntegerValue(lb))));</div><div class="line"><a name="l01764"></a><span class="lineno"> 1764</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>({in_interval},</div><div class="line"><a name="l01765"></a><span class="lineno"> 1765</span>&#160; <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">IntegerLiteral::LowerOrEqual</a>(v, IntegerValue(ub))));</div><div class="line"><a name="l01766"></a><span class="lineno"> 1766</span>&#160; };</div><div class="line"><a name="l01767"></a><span class="lineno"> 1767</span>&#160;}</div><div class="line"><a name="l01768"></a><span class="lineno"> 1768</span>&#160;</div><div class="line"><a name="l01769"></a><span class="lineno"> 1769</span>&#160;<span class="comment">// Calling model.Add(FullyEncodeVariable(var)) will create one literal per value</span></div><div class="line"><a name="l01770"></a><span class="lineno"> 1770</span>&#160;<span class="comment">// in the domain of var (if not already done), and wire everything correctly.</span></div><div class="line"><a name="l01771"></a><span class="lineno"> 1771</span>&#160;<span class="comment">// This also returns the full encoding, see the FullDomainEncoding() method of</span></div><div class="line"><a name="l01772"></a><span class="lineno"> 1772</span>&#160;<span class="comment">// the IntegerEncoder class.</span></div><div class="line"><a name="l01773"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#ae2f799895718aafaf91c458512b0cd70"> 1773</a></span>&#160;<span class="keyword">inline</span> std::function&lt;std::vector&lt;ValueLiteralPair&gt;(<a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#ae2f799895718aafaf91c458512b0cd70">FullyEncodeVariable</a>(</div><div class="line"><a name="l01774"></a><span class="lineno"> 1774</span>&#160; IntegerVariable <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div><div class="line"><a name="l01775"></a><span class="lineno"> 1775</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="l01776"></a><span class="lineno"> 1776</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>* encoder = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html">IntegerEncoder</a>&gt;();</div><div class="line"><a name="l01777"></a><span class="lineno"> 1777</span>&#160; <span class="keywordflow">if</span> (!encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#ac9e262bbda19ec4b7d51bd77b70bb363">VariableIsFullyEncoded</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>)) {</div><div class="line"><a name="l01778"></a><span class="lineno"> 1778</span>&#160; encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a1fc2c45d01fd348f668c2f7407015a20">FullyEncodeVariable</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l01779"></a><span class="lineno"> 1779</span>&#160; }</div><div class="line"><a name="l01780"></a><span class="lineno"> 1780</span>&#160; <span class="keywordflow">return</span> encoder-&gt;<a class="code" href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">FullDomainEncoding</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l01781"></a><span class="lineno"> 1781</span>&#160; };</div><div class="line"><a name="l01782"></a><span class="lineno"> 1782</span>&#160;}</div><div class="line"><a name="l01783"></a><span class="lineno"> 1783</span>&#160;</div><div class="line"><a name="l01784"></a><span class="lineno"> 1784</span>&#160;<span class="comment">// Same as ExcludeCurrentSolutionAndBacktrack() but this version works for an</span></div><div class="line"><a name="l01785"></a><span class="lineno"> 1785</span>&#160;<span class="comment">// integer problem with optional variables. The issue is that an optional</span></div><div class="line"><a name="l01786"></a><span class="lineno"> 1786</span>&#160;<span class="comment">// variable that is ignored can basically take any value, and we don&#39;t really</span></div><div class="line"><a name="l01787"></a><span class="lineno"> 1787</span>&#160;<span class="comment">// want to enumerate them. This function should exclude all solutions where</span></div><div class="line"><a name="l01788"></a><span class="lineno"> 1788</span>&#160;<span class="comment">// only the ignored variable values change.</span></div><div class="line"><a name="l01789"></a><span class="lineno"> 1789</span>&#160;std::function&lt;void(Model*)&gt;</div><div class="line"><a name="l01790"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html#a9aa92234d49c24db6e5a89576148130a"> 1790</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1sat.html#a9aa92234d49c24db6e5a89576148130a">ExcludeCurrentSolutionWithoutIgnoredVariableAndBacktrack</a>();</div><div class="line"><a name="l01791"></a><span class="lineno"> 1791</span>&#160;</div><div class="line"><a name="l01792"></a><span class="lineno"> 1792</span>&#160;} <span class="comment">// namespace sat</span></div><div class="line"><a name="l01793"></a><span class="lineno"> 1793</span>&#160;} <span class="comment">// namespace operations_research</span></div><div class="line"><a name="l01794"></a><span class="lineno"> 1794</span>&#160;</div><div class="line"><a name="l01795"></a><span class="lineno"> 1795</span>&#160;<span class="preprocessor">#endif // OR_TOOLS_SAT_INTEGER_H_</span></div><div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_add168e7d6ccca67818ea58be12e61dbd"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#add168e7d6ccca67818ea58be12e61dbd">operations_research::sat::AffineExpression::MultipliedBy</a></div><div class="ttdeci">AffineExpression MultipliedBy(IntegerValue multiplier) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00257">integer.h:257</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_aa4c7a44c63bb5d0d0401c9951db2daaa"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4c7a44c63bb5d0d0401c9951db2daaa">operations_research::sat::IntegerTrail::VariableLowerBoundIsFromLevelZero</a></div><div class="ttdeci">bool VariableLowerBoundIsFromLevelZero(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00934">integer.h:934</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_propagator_interface_html_ab355d13060fa36037afa32aa8ddbe62a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html#ab355d13060fa36037afa32aa8ddbe62a">operations_research::sat::PropagatorInterface::Propagate</a></div><div class="ttdeci">virtual bool Propagate()=0</div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a49ff19c4851c879436507391ea8dd675"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a49ff19c4851c879436507391ea8dd675">operations_research::sat::IntegerTrail::LazyReasonFunction</a></div><div class="ttdeci">std::function&lt; void(IntegerLiteral literal_to_explain, int trail_index_of_literal, std::vector&lt; Literal &gt; *literals, std::vector&lt; int &gt; *dependencies)&gt; LazyReasonFunction</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00876">integer.h:876</a></div></div>
<div class="ttc" id="classoperations__research_1_1_time_limit_html"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html">operations_research::TimeLimit</a></div><div class="ttdoc">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same threa...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00106">time_limit.h:106</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a84a0f65f1ec460c487789fe6a7620f77"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a84a0f65f1ec460c487789fe6a7620f77">operations_research::sat::DEFINE_INT_TYPE</a></div><div class="ttdeci">DEFINE_INT_TYPE(ClauseIndex, int)</div></div>
<div class="ttc" id="routing__filters_8cc_html_a4f1e8002734902ae1c65ccc3fc30c98e"><div class="ttname"><a href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a></div><div class="ttdeci">int64_t bound</div><div class="ttdef"><b>Definition:</b> <a href="routing__filters_8cc_source.html#l00969">routing_filters.cc:969</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac4fc75eea42e935951c766549cf8aa3c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac4fc75eea42e935951c766549cf8aa3c">operations_research::sat::IntegerTrail::HasPendingRootLevelDeduction</a></div><div class="ttdeci">bool HasPendingRootLevelDeduction() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00971">integer.h:971</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01598">integer.h:1598</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a19bff44fb82e19c55a4da7fe9aa38a86"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a19bff44fb82e19c55a4da7fe9aa38a86">operations_research::sat::AffineExpression::Negated</a></div><div class="ttdeci">AffineExpression Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00252">integer.h:252</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a7490e9803eebe0e18b8e8b3dbb3da65b"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a7490e9803eebe0e18b8e8b3dbb3da65b">operations_research::sat::AffineExpression::ValueAt</a></div><div class="ttdeci">IntegerValue ValueAt(IntegerValue var_value) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00267">integer.h:267</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a82ec3cdecf098fb24fdb467d334d3da3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a82ec3cdecf098fb24fdb467d334d3da3">operations_research::sat::IntegerEncoder::GetIntegerLiterals</a></div><div class="ttdeci">const InlinedIntegerLiteralVector &amp; GetIntegerLiterals(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00463">integer.h:463</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html">operations_research::sat::IntegerLiteral</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00168">integer.h:168</a></div></div>
<div class="ttc" id="alldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a641d11d8c5503a5204289b47319436ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a641d11d8c5503a5204289b47319436ca">operations_research::sat::GenericLiteralWatcher::NumPropagators</a></div><div class="ttdeci">int NumPropagators() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01304">integer.h:1304</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a18be901ad3327dbba70128fcb601c960"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a18be901ad3327dbba70128fcb601c960">operations_research::sat::IntegerEncoder::SearchForLiteralAtOrBefore</a></div><div class="ttdeci">LiteralIndex SearchForLiteralAtOrBefore(IntegerLiteral i, IntegerValue *bound) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00478">integer.cc:478</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a5d6f020504838c2d57528f47cd1fe164"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a5d6f020504838c2d57528f47cd1fe164">operations_research::sat::AffineExpression::GreaterOrEqual</a></div><div class="ttdeci">IntegerLiteral GreaterOrEqual(IntegerValue bound) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01406">integer.h:1406</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a2e07f0354f890e53d0d4f8094343404b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2e07f0354f890e53d0d4f8094343404b">operations_research::sat::GenericLiteralWatcher::WatchLowerBound</a></div><div class="ttdeci">void WatchLowerBound(IntegerValue i, int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01277">integer.h:1277</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_a2654fc94e491e1e7001ef2b9d8fbe90d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a2654fc94e491e1e7001ef2b9d8fbe90d">operations_research::sat::IntegerLiteral::operator==</a></div><div class="ttdeci">bool operator==(IntegerLiteral o) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00197">integer.h:197</a></div></div>
<div class="ttc" id="log__severity_8h_html_acdd38e3c9f22f127d7776920e3079eda"><div class="ttname"><a href="log__severity_8h.html#acdd38e3c9f22f127d7776920e3079eda">FATAL</a></div><div class="ttdeci">const int FATAL</div><div class="ttdef"><b>Definition:</b> <a href="log__severity_8h_source.html#l00032">log_severity.h:32</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a554451dc5db1b8d233556d0b217c8a68"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a554451dc5db1b8d233556d0b217c8a68">operations_research::sat::IntegerTrail::OptionalLiteralIndex</a></div><div class="ttdeci">LiteralIndex OptionalLiteralIndex(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00707">integer.h:707</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_debug_solution_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_debug_solution.html">operations_research::sat::DebugSolution</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00305">integer.h:305</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a1eb60e3eca768de339988b37c6f1fd0b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a1eb60e3eca768de339988b37c6f1fd0b">operations_research::sat::IntegerTrail::RegisterWatcher</a></div><div class="ttdeci">void RegisterWatcher(SparseBitset&lt; IntegerVariable &gt; *p)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00910">integer.h:910</a></div></div>
<div class="ttc" id="classoperations__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="classoperations__research_1_1sat_1_1_integer_trail_html_af88a18429909498405c450015f0a223a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#af88a18429909498405c450015f0a223a">operations_research::sat::IntegerTrail::NumIntegerVariables</a></div><div class="ttdeci">IntegerVariable NumIntegerVariables() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00638">integer.h:638</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_adf3a30cc102861886504a5db480fdaad"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#adf3a30cc102861886504a5db480fdaad">operations_research::sat::IntegerTrail::IntegerLiteralIsFalse</a></div><div class="ttdeci">bool IntegerLiteralIsFalse(IntegerLiteral l) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01513">integer.h:1513</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_aa527950bda17efaeae8589c561d1b453"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa527950bda17efaeae8589c561d1b453">operations_research::sat::IntegerTrail::AppendRelaxedLinearReason</a></div><div class="ttdeci">void AppendRelaxedLinearReason(IntegerValue slack, absl::Span&lt; const IntegerValue &gt; coeffs, absl::Span&lt; const IntegerVariable &gt; vars, std::vector&lt; IntegerLiteral &gt; *reason) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00827">integer.cc:827</a></div></div>
<div class="ttc" id="int__type_8h_html"><div class="ttname"><a href="int__type_8h.html">int_type.h</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_afebdcd02275fbb761414876dfa5ed93d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#afebdcd02275fbb761414876dfa5ed93d">operations_research::sat::AffineExpression::AffineExpression</a></div><div class="ttdeci">AffineExpression(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00232">integer.h:232</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_ac9e262bbda19ec4b7d51bd77b70bb363"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#ac9e262bbda19ec4b7d51bd77b70bb363">operations_research::sat::IntegerEncoder::VariableIsFullyEncoded</a></div><div class="ttdeci">bool VariableIsFullyEncoded(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00079">integer.cc:79</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_ab6918f1b808a28957b5b6577fe292414"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#ab6918f1b808a28957b5b6577fe292414">operations_research::sat::IntegerEncoder::~IntegerEncoder</a></div><div class="ttdeci">~IntegerEncoder()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00363">integer.h:363</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac0a2e8c6619af74b42472bfa9a9e6465"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac0a2e8c6619af74b42472bfa9a9e6465">operations_research::sat::IntegerTrail::UpperBoundAsLiteral</a></div><div class="ttdeci">IntegerLiteral UpperBoundAsLiteral(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01472">integer.h:1472</a></div></div>
<div class="ttc" id="classoperations__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#l00664">integer.cc:664</a></div></div>
<div class="ttc" id="sat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_a3e2eb445631727dd4abf1d5343f16b2f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a3e2eb445631727dd4abf1d5343f16b2f">operations_research::sat::IntegerLiteral::LowerOrEqual</a></div><div class="ttdeci">static IntegerLiteral LowerOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01383">integer.h:1383</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_trail_html_a84f6b2c778ed597c90f98f0329a25713"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a84f6b2c778ed597c90f98f0329a25713">operations_research::sat::Trail::MutableConflict</a></div><div class="ttdeci">std::vector&lt; Literal &gt; * MutableConflict()</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00363">sat_base.h:363</a></div></div>
<div class="ttc" id="base_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00983">base/logging.h:983</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_debug_solution_html_a1931a36f0eda6b2612c7d00718b176fe"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_debug_solution.html#a1931a36f0eda6b2612c7d00718b176fe">operations_research::sat::DebugSolution::DebugSolution</a></div><div class="ttdeci">DebugSolution(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00307">integer.h:307</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_aad4c7ee3b6e996c3828c04932765210d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#aad4c7ee3b6e996c3828c04932765210d">operations_research::sat::AffineExpression::AffineExpression</a></div><div class="ttdeci">AffineExpression(IntegerVariable v, IntegerValue c)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00234">integer.h:234</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a6d55b5b9adc499095dd57dd0c2b6c7df"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a6d55b5b9adc499095dd57dd0c2b6c7df">operations_research::sat::IntegerTrail::ReportConflict</a></div><div class="ttdeci">bool ReportConflict(absl::Span&lt; const Literal &gt; literal_reason, absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00917">integer.h:917</a></div></div>
<div class="ttc" id="classoperations__research_1_1_reversible_interface_html"><div class="ttname"><a href="classoperations__research_1_1_reversible_interface.html">operations_research::ReversibleInterface</a></div><div class="ttdef"><b>Definition:</b> <a href="rev_8h_source.html#l00029">rev.h:29</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01435">integer.h:1435</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_variables_assignment_html_a5300129913f51dcb0b1c531e3248490e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">operations_research::sat::VariablesAssignment::LiteralIsTrue</a></div><div class="ttdeci">bool LiteralIsTrue(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00152">sat_base.h:152</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_domains_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_domains.html">operations_research::sat::IntegerDomains</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00298">integer.h:298</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_bitset_html"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html">operations_research::SparseBitset&lt; IntegerVariable &gt;</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html_a4a11c7c4d7706c09de5e18707c3b5c62"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">operations_research::sat::Literal::Index</a></div><div class="ttdeci">LiteralIndex Index() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00086">sat_base.h:86</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00093">sat_base.h:93</a></div></div>
<div class="ttc" id="base_2logging_8h_html_accad43a85d781d53381cd53a9894b6ae"><div class="ttname"><a href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a></div><div class="ttdeci">#define LOG(severity)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00420">base/logging.h:420</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a429d1fd54b5becc39e4cfbc608d7d70a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a429d1fd54b5becc39e4cfbc608d7d70a">operations_research::sat::IntegerTermDebugString</a></div><div class="ttdeci">std::string IntegerTermDebugString(IntegerVariable var, IntegerValue coeff)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00153">integer.h:153</a></div></div>
<div class="ttc" id="gurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_aa9c149604bc3f558e14c6d233ebc4b19"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#aa9c149604bc3f558e14c6d233ebc4b19">operations_research::sat::AffineExpression::LpValue</a></div><div class="ttdeci">double LpValue(const absl::StrongVector&lt; IntegerVariable, double &gt; &amp;lp_values) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00272">integer.h:272</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00066">sat_base.h:66</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_aa64bf49d041052c7cb3f40f7496d7534"><div class="ttname"><a href="namespaceoperations__research.html#aa64bf49d041052c7cb3f40f7496d7534">operations_research::CapProd</a></div><div class="ttdeci">int64_t CapProd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00235">saturated_arithmetic.h:235</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_ab6516f556b715738034b30d290c40214"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#ab6516f556b715738034b30d290c40214">operations_research::sat::IntegerLiteral::var</a></div><div class="ttdeci">IntegerVariable var</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00211">integer.h:211</a></div></div>
<div class="ttc" id="hash_8h_html"><div class="ttname"><a href="hash_8h.html">hash.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a775efd540e54bd3be662ce7ee8894c1e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a775efd540e54bd3be662ce7ee8894c1e">operations_research::sat::NewIntegerVariableFromLiteral</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewIntegerVariableFromLiteral(Literal lit)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01630">integer.h:1630</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a177b0fc3e2519896f25447085954073c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a177b0fc3e2519896f25447085954073c">operations_research::sat::IntegerTrail::num_enqueues</a></div><div class="ttdeci">int64_t num_enqueues() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00901">integer.h:901</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_solver_html_afbbbc2f0845a82a5a5cfb3f00a61abe9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#afbbbc2f0845a82a5a5cfb3f00a61abe9">operations_research::sat::SatSolver::AddUnitClause</a></div><div class="ttdeci">bool AddUnitClause(Literal true_literal)</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8cc_source.html#l00165">sat_solver.cc:165</a></div></div>
<div class="ttc" id="classoperations__research_1_1_rev_repository_html"><div class="ttname"><a href="classoperations__research_1_1_rev_repository.html">operations_research::RevRepository</a></div><div class="ttdef"><b>Definition:</b> <a href="rev_8h_source.html#l00047">rev.h:47</a></div></div>
<div class="ttc" id="base_2logging_8h_html_ab4f56aa24c4c9cddc47a6abd2d747f9a"><div class="ttname"><a href="base_2logging_8h.html#ab4f56aa24c4c9cddc47a6abd2d747f9a">DCHECK_GT</a></div><div class="ttdeci">#define DCHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00895">base/logging.h:895</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">operations_research::sat::GenericLiteralWatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01221">integer.h:1221</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a5bd9dd701b822296b6c08e8c16fd4331"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a5bd9dd701b822296b6c08e8c16fd4331">operations_research::sat::AffineExpression::AffineExpression</a></div><div class="ttdeci">AffineExpression(IntegerValue cst)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00230">integer.h:230</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_adfce09ac65fc660f8a4f019f4072c6a7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#adfce09ac65fc660f8a4f019f4072c6a7">operations_research::sat::IntegerTrail::RemoveLevelZeroBounds</a></div><div class="ttdeci">void RemoveLevelZeroBounds(std::vector&lt; IntegerLiteral &gt; *reason) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00939">integer.cc:939</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits&lt; IntegerValue::ValueType &gt;::max() - 1)</div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_aca2d9fb026e697df91d1980dfcc3c120"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#aca2d9fb026e697df91d1980dfcc3c120">operations_research::sat::IntegerLiteral::IsFalseLiteral</a></div><div class="ttdeci">bool IsFalseLiteral() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00192">integer.h:192</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a430eb799926e49f2339d7f52c01d038b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a430eb799926e49f2339d7f52c01d038b">operations_research::sat::IntegerTrail::ReasonFor</a></div><div class="ttdeci">std::vector&lt; Literal &gt; ReasonFor(IntegerLiteral literal) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01616">integer.cc:1616</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a615d87982145007855f2102262cf773c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a615d87982145007855f2102262cf773c">operations_research::sat::IntegerTrail::LowerBoundAsLiteral</a></div><div class="ttdeci">IntegerLiteral LowerBoundAsLiteral(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01467">integer.h:1467</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_propagator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_propagator.html">operations_research::sat::SatPropagator</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00447">sat_base.h:447</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_ae161405d349af5d521fa0fd25c3b6f83"><div class="ttname"><a href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operations_research::operator==</a></div><div class="ttdeci">LinearRange operator==(const LinearExpr &amp;lhs, const LinearExpr &amp;rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00180">linear_expr.cc:180</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_propagator_interface_html_a7ee40d1fcd02211754c29a832ae97019"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html#a7ee40d1fcd02211754c29a832ae97019">operations_research::sat::PropagatorInterface::PropagatorInterface</a></div><div class="ttdeci">PropagatorInterface()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01175">integer.h:1175</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a8ae8e206270e3bb10251a6fadbdc06e7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ae8e206270e3bb10251a6fadbdc06e7">operations_research::sat::IntegerTrail::NextVariableToBranchOnInPropagationLoop</a></div><div class="ttdeci">IntegerVariable NextVariableToBranchOnInPropagationLoop() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01211">integer.cc:1211</a></div></div>
<div class="ttc" id="constraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_acd9d282f8048fa2818f5856b80466d40"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#acd9d282f8048fa2818f5856b80466d40">operations_research::sat::AffineExpression::operator==</a></div><div class="ttdeci">bool operator==(AffineExpression o) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00262">integer.h:262</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a05e837bb93eeabbbd94e8f690dd59d32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">operations_research::sat::IntegerTrail::Enqueue</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool Enqueue(IntegerLiteral i_lit, absl::Span&lt; const Literal &gt; literal_reason, absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01027">integer.cc:1027</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a308a6df2722f2c0f36ec8888f4458b41"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a308a6df2722f2c0f36ec8888f4458b41">operations_research::sat::IntegerEncoder::GetLiteralView</a></div><div class="ttdeci">const IntegerVariable GetLiteralView(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00493">integer.h:493</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a5aa25e6e306c7158c11d2053170379a2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a5aa25e6e306c7158c11d2053170379a2">operations_research::sat::IntegerTrail::Reason</a></div><div class="ttdeci">absl::Span&lt; const Literal &gt; Reason(const Trail &amp;trail, int trail_index) const final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01764">integer.cc:1764</a></div></div>
<div class="ttc" id="integral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a3bd2b0a66b0f1c16476487ad3ddc72ea"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3bd2b0a66b0f1c16476487ad3ddc72ea">operations_research::sat::Value</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; Value(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01673">integer.h:1673</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a6d5abebcf7168b2782e000ce76c82217"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a6d5abebcf7168b2782e000ce76c82217">operations_research::sat::IntegerEncoder::PartialDomainEncoding</a></div><div class="ttdeci">std::vector&lt; ValueLiteralPair &gt; PartialDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00120">integer.cc:120</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a6554c3addb8705b1ba60140a175de110"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a6554c3addb8705b1ba60140a175de110">operations_research::sat::IntegerTrail::CurrentBranchHadAnIncompletePropagation</a></div><div class="ttdeci">bool CurrentBranchHadAnIncompletePropagation()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01240">integer.cc:1240</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_aab182be7f1a6eccbc2b14c21fce5e9dd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aab182be7f1a6eccbc2b14c21fce5e9dd">operations_research::sat::IntegerTrail::AppendNewBounds</a></div><div class="ttdeci">void AppendNewBounds(std::vector&lt; IntegerLiteral &gt; *output) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01784">integer.cc:1784</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a0c9e8fab437ba44c91b0493a74cde263"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0c9e8fab437ba44c91b0493a74cde263">operations_research::sat::AddProductTo</a></div><div class="ttdeci">bool AddProductTo(IntegerValue a, IntegerValue b, IntegerValue *result)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00115">integer.h:115</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_aed77a1a7675c2f8568529a5a16247ec1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aed77a1a7675c2f8568529a5a16247ec1">operations_research::sat::ToDouble</a></div><div class="ttdeci">double ToDouble(IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00071">integer.h:71</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_af71e6c1eccbc12e9339c00a86a981a43"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#af71e6c1eccbc12e9339c00a86a981a43">absl::StrongVector::back</a></div><div class="ttdeci">reference back()</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00174">strong_vector.h:174</a></div></div>
<div class="ttc" id="macros_8h_html"><div class="ttname"><a href="macros_8h.html">macros.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a7f1ac774d4646a83631f8117f4ea03f5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a7f1ac774d4646a83631f8117f4ea03f5">operations_research::sat::PositiveVariable</a></div><div class="ttdeci">IntegerVariable PositiveVariable(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00143">integer.h:143</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a8ce07a1c3059cc86f60ae33c8db2c702"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ce07a1c3059cc86f60ae33c8db2c702">operations_research::sat::IntegerTrail::MarkIntegerVariableAsOptional</a></div><div class="ttdeci">void MarkIntegerVariableAsOptional(IntegerVariable i, Literal is_considered)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00712">integer.h:712</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_aed31a6423a802b782c349c6b297ae1d6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aed31a6423a802b782c349c6b297ae1d6">operations_research::sat::ConstantIntegerVariable</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; ConstantIntegerVariable(int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01604">integer.h:1604</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a9d8cd5de7be4a42157145228a43d177e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a9d8cd5de7be4a42157145228a43d177e">operations_research::sat::NewIntegerVariable</a></div><div class="ttdeci">std::function&lt; IntegerVariable(Model *)&gt; NewIntegerVariable(int64_t lb, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01612">integer.h:1612</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a299520ab923d28b4ee3051fe476d69fe"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a299520ab923d28b4ee3051fe476d69fe">operations_research::sat::IntegerEncoder::GetFalseLiteral</a></div><div class="ttdeci">Literal GetFalseLiteral()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00527">integer.h:527</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a9b1f29e2e2079dc31e89749c9a33bc01"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a9b1f29e2e2079dc31e89749c9a33bc01">operations_research::sat::LowerOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; LowerOrEqual(IntegerVariable v, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01696">integer.h:1696</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a5d4a4c93f937463d529aabb222804816"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a5d4a4c93f937463d529aabb222804816">operations_research::sat::IntegerEncoder::AssociateToIntegerEqualValue</a></div><div class="ttdeci">void AssociateToIntegerEqualValue(Literal literal, IntegerVariable var, IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00326">integer.cc:326</a></div></div>
<div class="ttc" id="alldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_html_a4db8f5afaaeebba7043f5ff2d1034402"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a4db8f5afaaeebba7043f5ff2d1034402">operations_research::sat::ValueLiteralPair::operator==</a></div><div class="ttdeci">bool operator==(const ValueLiteralPair &amp;o) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00326">integer.h:326</a></div></div>
<div class="ttc" id="strong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
<div class="ttc" id="namespaceabsl_html"><div class="ttname"><a href="namespaceabsl.html">absl</a></div><div class="ttdef"><b>Definition:</b> <a href="cleanup_8h_source.html#l00022">cleanup.h:22</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a3d619982dcba534a75f6961e8f4a35de"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a3d619982dcba534a75f6961e8f4a35de">operations_research::sat::GenericLiteralWatcher::RegisterLevelZeroModifiedVariablesCallback</a></div><div class="ttdeci">void RegisterLevelZeroModifiedVariablesCallback(const std::function&lt; void(const std::vector&lt; IntegerVariable &gt; &amp;)&gt; cb)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01315">integer.h:1315</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a1fc2c45d01fd348f668c2f7407015a20"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a1fc2c45d01fd348f668c2f7407015a20">operations_research::sat::IntegerEncoder::FullyEncodeVariable</a></div><div class="ttdeci">void FullyEncodeVariable(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00049">integer.cc:49</a></div></div>
<div class="ttc" id="gscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00126">gscip_solver.cc:126</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_ac3740684133a43f28203f0b85ed847b7"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ac3740684133a43f28203f0b85ed847b7">operations_research::sat::AffineExpression::DebugString</a></div><div class="ttdeci">const std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00278">integer.h:278</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a4e3670a285a3642eaa07f66766cffa72"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">absl::StrongVector::resize</a></div><div class="ttdeci">void resize(size_type new_size)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00150">strong_vector.h:150</a></div></div>
<div class="ttc" id="iterators_8h_html"><div class="ttname"><a href="iterators_8h.html">iterators.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_aaede7c755aad90772efda6db087f3413"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">operations_research::sat::GenericLiteralWatcher::WatchLowerBound</a></div><div class="ttdeci">void WatchLowerBound(IntegerVariable var, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01559">integer.h:1559</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_literal_html_a239e1315c4e975a35537790ba0d913a7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a239e1315c4e975a35537790ba0d913a7">operations_research::sat::Literal::NegatedIndex</a></div><div class="ttdeci">LiteralIndex NegatedIndex() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00087">sat_base.h:87</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_aea7feba6e23b3ba5795da053a2e9f6ac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#aea7feba6e23b3ba5795da053a2e9f6ac">operations_research::sat::IntegerEncoder::RawDomainEncoding</a></div><div class="ttdeci">std::vector&lt; ValueLiteralPair &gt; RawDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00150">integer.cc:150</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a1f45fc78bc701ed536087a92557a1fe7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a1f45fc78bc701ed536087a92557a1fe7">operations_research::sat::IntegerEncoder::GetAssociatedLiteral</a></div><div class="ttdeci">LiteralIndex GetAssociatedLiteral(IntegerLiteral i_lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00470">integer.cc:470</a></div></div>
<div class="ttc" id="map__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a51b62062bcf0ca300ba0753a6b2debb8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a51b62062bcf0ca300ba0753a6b2debb8">operations_research::sat::GenericLiteralWatcher::WatchIntegerVariable</a></div><div class="ttdeci">void WatchIntegerVariable(IntegerValue v, int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01279">integer.h:1279</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a9393fc2c24f073a494687363af790b39"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9393fc2c24f073a494687363af790b39">operations_research::sat::IntegerTrail::SafeEnqueue</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool SafeEnqueue(IntegerLiteral i_lit, absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01009">integer.cc:1009</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a003e7b51f96dbc816348288532b04b21"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a003e7b51f96dbc816348288532b04b21">operations_research::sat::InlinedIntegerLiteralVector</a></div><div class="ttdeci">absl::InlinedVector&lt; IntegerLiteral, 2 &gt; InlinedIntegerLiteralVector</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00220">integer.h:220</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html">operations_research::sat::IntegerEncoder</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00356">integer.h:356</a></div></div>
<div class="ttc" id="log__severity_8h_html_a50e5762f38854b37ee3e2851bc1bb0e7"><div class="ttname"><a href="log__severity_8h.html#a50e5762f38854b37ee3e2851bc1bb0e7">WARNING</a></div><div class="ttdeci">const int WARNING</div><div class="ttdef"><b>Definition:</b> <a href="log__severity_8h_source.html#l00031">log_severity.h:31</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_rev_integer_value_repository_html_a8b536ca603a352909517bd9797228d1c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html#a8b536ca603a352909517bd9797228d1c">operations_research::sat::RevIntegerValueRepository::RevIntegerValueRepository</a></div><div class="ttdeci">RevIntegerValueRepository(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01212">integer.h:1212</a></div></div>
<div class="ttc" id="namespaceoperations__research_html_a111f44b9b9cf67a8e8d83794ac9f5291"><div class="ttname"><a href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">operations_research::CapAdd</a></div><div class="ttdeci">int64_t CapAdd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00126">saturated_arithmetic.h:126</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_abaec50ed809d8f0a1754c9a9225d3b5e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#abaec50ed809d8f0a1754c9a9225d3b5e">operations_research::sat::GenericLiteralWatcher::WatchAffineExpression</a></div><div class="ttdeci">void WatchAffineExpression(AffineExpression e, int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01271">integer.h:1271</a></div></div>
<div class="ttc" id="base_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0"><div class="ttname"><a href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a></div><div class="ttdeci">#define DCHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00891">base/logging.h:891</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_afcd4038298bec97a2f7a61274c6ef8c7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#afcd4038298bec97a2f7a61274c6ef8c7">operations_research::sat::IntegerEncoder::GetOrCreateAssociatedLiteral</a></div><div class="ttdeci">Literal GetOrCreateAssociatedLiteral(IntegerLiteral i_lit)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00220">integer.cc:220</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair.html">operations_research::sat::ValueLiteralPair</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00311">integer.h:311</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_ac532c4b500b1a85ea22217f2c65a70ed"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#ac532c4b500b1a85ea22217f2c65a70ed">operations_research::sat::IntegerLiteral::IsValid</a></div><div class="ttdeci">bool IsValid() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00190">integer.h:190</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_aa130e84323404df15a838f6d07e9c775"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#aa130e84323404df15a838f6d07e9c775">operations_research::sat::IntegerLiteral::bound</a></div><div class="ttdeci">IntegerValue bound</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00212">integer.h:212</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_propagator_interface_html_aee053ac2dc53cef048aa8e815e9443bb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html#aee053ac2dc53cef048aa8e815e9443bb">operations_research::sat::PropagatorInterface::IncrementalPropagate</a></div><div class="ttdeci">virtual bool IncrementalPropagate(const std::vector&lt; int &gt; &amp;watch_indices)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01196">integer.h:1196</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a9bbee7df276ac89508e60df0dfb72a52"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9bbee7df276ac89508e60df0dfb72a52">operations_research::sat::IntegerTrail::ConditionalLowerBound</a></div><div class="ttdeci">IntegerValue ConditionalLowerBound(Literal l, IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01452">integer.h:1452</a></div></div>
<div class="ttc" id="base_2logging_8h_html_ae4db23f10f5d4aad6d735f5a74cd6f8c"><div class="ttname"><a href="base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c">CHECK_LE</a></div><div class="ttdeci">#define CHECK_LE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00704">base/logging.h:704</a></div></div>
<div class="ttc" id="gscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00125">gscip_solver.cc:125</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a074fe196a1aaff1dd5fd73e0b3bb1f0e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a074fe196a1aaff1dd5fd73e0b3bb1f0e">operations_research::sat::IntegerEncoder::GetOrCreateLiteralAssociatedToEquality</a></div><div class="ttdeci">Literal GetOrCreateLiteralAssociatedToEquality(IntegerVariable var, IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00266">integer.cc:266</a></div></div>
<div class="ttc" id="sorted__interval__list_8h_html"><div class="ttname"><a href="sorted__interval__list_8h.html">sorted_interval_list.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ab64f722552fba2040a38391d93f75b28"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab64f722552fba2040a38391d93f75b28">operations_research::sat::ImpliesInInterval</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ImpliesInInterval(Literal in_interval, IntegerVariable v, int64_t lb, int64_t ub)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01751">integer.h:1751</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a8b8fcdc97976ca46ea04a03fd874d9b3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8b8fcdc97976ca46ea04a03fd874d9b3">operations_research::sat::GenericLiteralWatcher::RegisterReversibleClass</a></div><div class="ttdeci">void RegisterReversibleClass(int id, ReversibleInterface *rev)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02034">integer.cc:2034</a></div></div>
<div class="ttc" id="sat__solver_8h_html"><div class="ttname"><a href="sat__solver_8h.html">sat_solver.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a0dedef72c691d332e0e1cc092bc01bc8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0dedef72c691d332e0e1cc092bc01bc8">operations_research::sat::GreaterOrEqual</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; GreaterOrEqual(IntegerVariable v, int64_t lb)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01681">integer.h:1681</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00613">integer.h:613</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_ae95b4e6425634486aaddce8db243c0c8"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#ae95b4e6425634486aaddce8db243c0c8">operations_research::sat::IntegerLiteral::IntegerLiteral</a></div><div class="ttdeci">IntegerLiteral()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00184">integer.h:184</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac5b0e86a4e870b2198a8d866efa51463"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac5b0e86a4e870b2198a8d866efa51463">operations_research::sat::IntegerTrail::NumConstantVariables</a></div><div class="ttdeci">int NumConstantVariables() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00729">integer.cc:729</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a06a78ca452e0ab05313a836b024352f2"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a06a78ca452e0ab05313a836b024352f2">operations_research::sat::AffineExpression::constant</a></div><div class="ttdeci">IntegerValue constant</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00294">integer.h:294</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ae0185af3cf5bae9f1a3b7dc646a305dc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ae0185af3cf5bae9f1a3b7dc646a305dc">operations_research::sat::IntegerTrail::AddIntegerVariable</a></div><div class="ttdeci">IntegerVariable AddIntegerVariable()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00686">integer.h:686</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a9ab880b5e67213a0607c5c3935da9f08"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a9ab880b5e67213a0607c5c3935da9f08">operations_research::sat::IntegerTrail::LevelZeroUpperBound</a></div><div class="ttdeci">IntegerValue LevelZeroUpperBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01524">integer.h:1524</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ace76b216f012cbdf1443670080329f6d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ace76b216f012cbdf1443670080329f6d">operations_research::sat::IsFixed</a></div><div class="ttdeci">std::function&lt; bool(const Model &amp;)&gt; IsFixed(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01665">integer.h:1665</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_aad79ec41294b2b2d63f2fd4aba8fd992"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#aad79ec41294b2b2d63f2fd4aba8fd992">operations_research::sat::IntegerLiteral::IsTrueLiteral</a></div><div class="ttdeci">bool IsTrueLiteral() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00191">integer.h:191</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00235">sat_base.h:235</a></div></div>
<div class="ttc" id="classoperations__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#l00668">integer.cc:668</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a9a9cf2e23271baad10b6e66f569049f0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a9a9cf2e23271baad10b6e66f569049f0">operations_research::sat::IntegerEncoder::FullDomainEncoding</a></div><div class="ttdeci">std::vector&lt; ValueLiteralPair &gt; FullDomainEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00114">integer.cc:114</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_adc5598223a363c10d95c00395145bcc6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adc5598223a363c10d95c00395145bcc6">operations_research::sat::GenericLiteralWatcher::SetPropagatorPriority</a></div><div class="ttdeci">void SetPropagatorPriority(int id, int priority)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02018">integer.cc:2018</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1glop_html_af9a790b7e8c5b0c6d55b336177378e78"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">operations_research::glop::kInfinity</a></div><div class="ttdeci">const double kInfinity</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00084">lp_types.h:84</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a4ce4030e2e60f84f0e28616614f9f320"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a4ce4030e2e60f84f0e28616614f9f320">operations_research::sat::IntegerTrail::num_level_zero_enqueues</a></div><div class="ttdeci">int64_t num_level_zero_enqueues() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00905">integer.h:905</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a2f8078e3c74ab15964ea42801732313a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a2f8078e3c74ab15964ea42801732313a">operations_research::sat::GenericLiteralWatcher::AlwaysCallAtLevelZero</a></div><div class="ttdeci">void AlwaysCallAtLevelZero(int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02030">integer.cc:2030</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a9263000d449fdccb6cb70b303063e60b"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a9263000d449fdccb6cb70b303063e60b">absl::StrongVector::push_back</a></div><div class="ttdeci">void push_back(const value_type &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00158">strong_vector.h:158</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a79322fd8dff49ab2eab22c0570aba594"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a79322fd8dff49ab2eab22c0570aba594">operations_research::sat::IntegerTrail::EnqueueLiteral</a></div><div class="ttdeci">void EnqueueLiteral(Literal literal, absl::Span&lt; const Literal &gt; literal_reason, absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01141">integer.cc:1141</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac746d3665776d57cb5ecd46fbdda7de7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac746d3665776d57cb5ecd46fbdda7de7">operations_research::sat::IntegerTrail::IsFixedAtLevelZero</a></div><div class="ttdeci">bool IsFixedAtLevelZero(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01529">integer.h:1529</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal_html_a214e3fd8aa214706a89562126aab37a4"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal.html#a214e3fd8aa214706a89562126aab37a4">operations_research::sat::ValueLiteralPair::CompareByLiteral::operator()</a></div><div class="ttdeci">bool operator()(const ValueLiteralPair &amp;a, const ValueLiteralPair &amp;b) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00313">integer.h:313</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a213ed4b3d803f4f95790931abfe06d77"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a213ed4b3d803f4f95790931abfe06d77">operations_research::sat::GenericLiteralWatcher::GetCurrentId</a></div><div class="ttdeci">int GetCurrentId() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01323">integer.h:1323</a></div></div>
<div class="ttc" id="pack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_aba2da0bfd23abe8c3a226fbf036d3f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#aba2da0bfd23abe8c3a226fbf036d3f9b">operations_research::sat::IntegerEncoder::LiteralOrNegationHasView</a></div><div class="ttdeci">const bool LiteralOrNegationHasView(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00500">integer.h:500</a></div></div>
<div class="ttc" id="classoperations__research_1_1_assignment_html"><div class="ttname"><a href="classoperations__research_1_1_assignment.html">operations_research::Assignment</a></div><div class="ttdoc">An Assignment is a variable -&gt; domains mapping, used to report solutions to the user.</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_8h_source.html#l05081">constraint_solver.h:5081</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_domains_html_a5ebecd2ee921f91c1c04c3b4640f94ce"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_domains.html#a5ebecd2ee921f91c1c04c3b4640f94ce">operations_research::sat::IntegerDomains::IntegerDomains</a></div><div class="ttdeci">IntegerDomains(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00299">integer.h:299</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ae2544d2a3a5ef4c78f8e5891f104ab41"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae2544d2a3a5ef4c78f8e5891f104ab41">operations_research::sat::VariableIsPositive</a></div><div class="ttdeci">bool VariableIsPositive(IntegerVariable i)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00139">integer.h:139</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a697964c4df6330b5d4720be3658ac35a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a697964c4df6330b5d4720be3658ac35a">operations_research::sat::IntegerTrail::InPropagationLoop</a></div><div class="ttdeci">bool InPropagationLoop() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01201">integer.cc:1201</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac7f9c569e2ad83d246e4a17ea303a7ec"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac7f9c569e2ad83d246e4a17ea303a7ec">operations_research::sat::IntegerTrail::MergeReasonInto</a></div><div class="ttdeci">void MergeReasonInto(absl::Span&lt; const IntegerLiteral &gt; literals, std::vector&lt; Literal &gt; *output) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01624">integer.cc:1624</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_aa981297d0a648cd5c3fef40e2edebf8a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa981297d0a648cd5c3fef40e2edebf8a">operations_research::sat::IntegerTrail::RelaxLinearReason</a></div><div class="ttdeci">void RelaxLinearReason(IntegerValue slack, absl::Span&lt; const IntegerValue &gt; coeffs, std::vector&lt; IntegerLiteral &gt; *reason) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00805">integer.cc:805</a></div></div>
<div class="ttc" id="base_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295"><div class="ttname"><a href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a></div><div class="ttdeci">#define DCHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00894">base/logging.h:894</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a8f6dd74a841475ccb390614d2b212170"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">operations_research::sat::GenericLiteralWatcher::WatchLiteral</a></div><div class="ttdeci">void WatchLiteral(Literal l, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01551">integer.h:1551</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_html_af63dcc00f2023fdf498e0829e6fb8a6b"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair.html#af63dcc00f2023fdf498e0829e6fb8a6b">operations_research::sat::ValueLiteralPair::literal</a></div><div class="ttdeci">Literal literal</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00333">integer.h:333</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html">operations_research::sat::AffineExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00227">integer.h:227</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a4a1c84558c01bae528113b50c0611564"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a4a1c84558c01bae528113b50c0611564">operations_research::sat::IntegerEncoder::Canonicalize</a></div><div class="ttdeci">std::pair&lt; IntegerLiteral, IntegerLiteral &gt; Canonicalize(IntegerLiteral i_lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00202">integer.cc:202</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_acc1aaae243ed4381e84f8309aacb3bbc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#acc1aaae243ed4381e84f8309aacb3bbc">operations_research::sat::IntegerTrail::IsOptional</a></div><div class="ttdeci">bool IsOptional(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00695">integer.h:695</a></div></div>
<div class="ttc" id="saturated__arithmetic_8h_html"><div class="ttname"><a href="saturated__arithmetic_8h.html">saturated_arithmetic.h</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_adbdd6b45455ab6d7e3e32166f40dc3b1"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#adbdd6b45455ab6d7e3e32166f40dc3b1">operations_research::sat::IntegerLiteral::FalseLiteral</a></div><div class="ttdeci">static IntegerLiteral FalseLiteral()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01393">integer.h:1393</a></div></div>
<div class="ttc" id="base_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00702">base/logging.h:702</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value.html">operations_research::sat::ValueLiteralPair::CompareByValue</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00318">integer.h:318</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a83f714c395df7a814ed067125f567a0d"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a83f714c395df7a814ed067125f567a0d">operations_research::sat::PositiveRemainder</a></div><div class="ttdeci">IntegerValue PositiveRemainder(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00107">integer.h:107</a></div></div>
<div class="ttc" id="sat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_aeb5e5f3cc640cb66579413a29528d223"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#aeb5e5f3cc640cb66579413a29528d223">operations_research::sat::IntegerEncoder::GetAssociatedEqualityLiteral</a></div><div class="ttdeci">LiteralIndex GetAssociatedEqualityLiteral(IntegerVariable var, IntegerValue value) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00256">integer.cc:256</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a0ee70f9d17fac333fb71c0ab6423f58c"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a0ee70f9d17fac333fb71c0ab6423f58c">operations_research::sat::UpperBound</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; UpperBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01659">integer.h:1659</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ad2f3825d33cbc805d2f490d324bd363c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ad2f3825d33cbc805d2f490d324bd363c">operations_research::sat::IntegerTrail::ConditionalEnqueue</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool ConditionalEnqueue(Literal lit, IntegerLiteral i_lit, std::vector&lt; Literal &gt; *literal_reason, std::vector&lt; IntegerLiteral &gt; *integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01034">integer.cc:1034</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_rev_int_repository_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_rev_int_repository.html">operations_research::sat::RevIntRepository</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01204">integer.h:1204</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a514abe3126a2c805879836d2b24fa2a6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a514abe3126a2c805879836d2b24fa2a6">operations_research::sat::IntegerEncoder::ClearNewlyFixedIntegerLiterals</a></div><div class="ttdeci">void ClearNewlyFixedIntegerLiterals()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00485">integer.h:485</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a3253ab3126f5c0c2db508ca3d185bc76"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a3253ab3126f5c0c2db508ca3d185bc76">operations_research::sat::AffineExpression::AffineExpression</a></div><div class="ttdeci">AffineExpression()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00229">integer.h:229</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a1f591be5334541874ba049873235f0a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a1f591be5334541874ba049873235f0a9">operations_research::sat::GenericLiteralWatcher::Propagate</a></div><div class="ttdeci">bool Propagate(Trail *trail) final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01857">integer.cc:1857</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a7b3ca961a0e70e21d4a60184c56a27e7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a7b3ca961a0e70e21d4a60184c56a27e7">operations_research::sat::GenericLiteralWatcher::WatchLowerBound</a></div><div class="ttdeci">void WatchLowerBound(AffineExpression e, int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01265">integer.h:1265</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_solver_html_a43684a0a8ef85b1cea0076dba3fb271d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#a43684a0a8ef85b1cea0076dba3fb271d">operations_research::sat::SatSolver::NewBooleanVariable</a></div><div class="ttdeci">BooleanVariable NewBooleanVariable()</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00084">sat_solver.h:84</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_ab6516f556b715738034b30d290c40214"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ab6516f556b715738034b30d290c40214">operations_research::sat::AffineExpression::var</a></div><div class="ttdeci">IntegerVariable var</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00292">integer.h:292</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a161bb1bb07b668c21249a7ffb6958fb1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a161bb1bb07b668c21249a7ffb6958fb1">operations_research::sat::IntegerTrail::GetOrCreateConstantIntegerVariable</a></div><div class="ttdeci">IntegerVariable GetOrCreateConstantIntegerVariable(IntegerValue value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00714">integer.cc:714</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_solver_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html">operations_research::sat::SatSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00058">sat_solver.h:58</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a9aa92234d49c24db6e5a89576148130a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a9aa92234d49c24db6e5a89576148130a">operations_research::sat::ExcludeCurrentSolutionWithoutIgnoredVariableAndBacktrack</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; ExcludeCurrentSolutionWithoutIgnoredVariableAndBacktrack()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01790">integer.h:1790</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html_a60304b65bf89363bcc3165d3cde67f86"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">absl::StrongVector::size</a></div><div class="ttdeci">size_type size() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00147">strong_vector.h:147</a></div></div>
<div class="ttc" id="base_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a8ef12397d1682615bc3108c397734179"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8ef12397d1682615bc3108c397734179">operations_research::sat::IntegerTrail::Index</a></div><div class="ttdeci">int Index() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00944">integer.h:944</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_aae43e784db06c0974ce59ebbe8dd2b22"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aae43e784db06c0974ce59ebbe8dd2b22">operations_research::sat::NegationOf</a></div><div class="ttdeci">std::vector&lt; IntegerVariable &gt; NegationOf(const std::vector&lt; IntegerVariable &gt; &amp;vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00030">integer.cc:30</a></div></div>
<div class="ttc" id="base_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00889">base/logging.h:889</a></div></div>
<div class="ttc" id="namespaceoperations__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#l01724">integer.h:1724</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_ae2f34ffcd1a37837a3a080d239702b64"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#ae2f34ffcd1a37837a3a080d239702b64">operations_research::sat::IntegerEncoder::PartialGreaterThanEncoding</a></div><div class="ttdeci">std::map&lt; IntegerValue, Literal &gt; PartialGreaterThanEncoding(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00532">integer.h:532</a></div></div>
<div class="ttc" id="classoperations__research_1_1_domain_html"><div class="ttname"><a href="classoperations__research_1_1_domain.html">operations_research::Domain</a></div><div class="ttdoc">We call domain any subset of Int64 = [kint64min, kint64max].</div><div class="ttdef"><b>Definition:</b> <a href="sorted__interval__list_8h_source.html#l00081">sorted_interval_list.h:81</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ae2f799895718aafaf91c458512b0cd70"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae2f799895718aafaf91c458512b0cd70">operations_research::sat::FullyEncodeVariable</a></div><div class="ttdeci">std::function&lt; std::vector&lt; ValueLiteralPair &gt;Model *)&gt; FullyEncodeVariable(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01773">integer.h:1773</a></div></div>
<div class="ttc" id="classabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt; IntegerVariable, double &gt;</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_a316e24dddfb0f41edc01b3849dd36e65"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a316e24dddfb0f41edc01b3849dd36e65">operations_research::sat::IntegerLiteral::IntegerLiteral</a></div><div class="ttdeci">IntegerLiteral(IntegerVariable v, IntegerValue b)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00185">integer.h:185</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_ad7d5fda7881b6c8fdc9d1e7a74ee4a2e"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#ad7d5fda7881b6c8fdc9d1e7a74ee4a2e">operations_research::sat::AffineExpression::coeff</a></div><div class="ttdeci">IntegerValue coeff</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00293">integer.h:293</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_rev_integer_value_repository_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_rev_integer_value_repository.html">operations_research::sat::RevIntegerValueRepository</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01210">integer.h:1210</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a07823d046b027c81155f8a2f322cf813"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a07823d046b027c81155f8a2f322cf813">operations_research::sat::FloorRatio</a></div><div class="ttdeci">IntegerValue FloorRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00092">integer.h:92</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ae517412fa6f592ccb7c8e0f1569ba983"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ae517412fa6f592ccb7c8e0f1569ba983">operations_research::sat::IntegerTrail::RegisterReversibleClass</a></div><div class="ttdeci">void RegisterReversibleClass(ReversibleInterface *rev)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00940">integer.h:940</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_afac25f42f6c2024c566846104e0aabba"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#afac25f42f6c2024c566846104e0aabba">operations_research::sat::IntegerTrail::IntegerTrail</a></div><div class="ttdeci">IntegerTrail(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00615">integer.h:615</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::IntegerLiteral::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00204">integer.h:204</a></div></div>
<div class="ttc" id="base_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0"><div class="ttname"><a href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a></div><div class="ttdeci">#define DCHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_bitset_html_ae09e38958e558d2c776bc555a0dc2fc7"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html#ae09e38958e558d2c776bc555a0dc2fc7">operations_research::SparseBitset::ClearAndResize</a></div><div class="ttdeci">void ClearAndResize(IntegerType size)</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00779">bitset.h:779</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a309d057e12c8d4d393f13975eea2e2a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a309d057e12c8d4d393f13975eea2e2a9">operations_research::sat::IntegerTrail::IsCurrentlyIgnored</a></div><div class="ttdeci">bool IsCurrentlyIgnored(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00698">integer.h:698</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ae13e4169ae1934ab2b1c58af67d9fce3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae13e4169ae1934ab2b1c58af67d9fce3">operations_research::sat::LowerBound</a></div><div class="ttdeci">std::function&lt; int64_t(const Model &amp;)&gt; LowerBound(IntegerVariable v)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01653">integer.h:1653</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_ae91804752c8789aa2bd7d638068f3b88"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#ae91804752c8789aa2bd7d638068f3b88">operations_research::sat::IntegerEncoder::IntegerEncoder</a></div><div class="ttdeci">IntegerEncoder(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00358">integer.h:358</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a29b96869d2a821cf1d2e6099e7a0f51b"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a29b96869d2a821cf1d2e6099e7a0f51b">operations_research::sat::CeilRatio</a></div><div class="ttdeci">IntegerValue CeilRatio(IntegerValue dividend, IntegerValue positive_divisor)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00083">integer.h:83</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a8c19f2eec83fb50364c047f113e6dd5d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a8c19f2eec83fb50364c047f113e6dd5d">operations_research::sat::IntegerEncoder::LiteralIsAssociated</a></div><div class="ttdeci">bool LiteralIsAssociated(IntegerLiteral i_lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00464">integer.cc:464</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_ab2c396c33db5bd5eab32d398c3d55646"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab2c396c33db5bd5eab32d398c3d55646">operations_research::sat::GenericLiteralWatcher::WatchIntegerVariable</a></div><div class="ttdeci">void WatchIntegerVariable(IntegerVariable i, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01583">integer.h:1583</a></div></div>
<div class="ttc" id="base_2logging_8h_html_a4395e95bab44e222cb2e77251017a0e2"><div class="ttname"><a href="base_2logging_8h.html#a4395e95bab44e222cb2e77251017a0e2">DCHECK_LE</a></div><div class="ttdeci">#define DCHECK_LE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00892">base/logging.h:892</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_adeee4ac52bfe0f1b48ee8958bb88b4e3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">operations_research::sat::GenericLiteralWatcher::Register</a></div><div class="ttdeci">int Register(PropagatorInterface *propagator)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01995">integer.cc:1995</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_af46d3e8559a1951914b218e3ef4f34c7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#af46d3e8559a1951914b218e3ef4f34c7">operations_research::sat::GenericLiteralWatcher::Untrail</a></div><div class="ttdeci">void Untrail(const Trail &amp;trail, int literal_trail_index) final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01971">integer.cc:1971</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_propagator_interface_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html">operations_research::sat::PropagatorInterface</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01173">integer.h:1173</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a0d782ddea6e94b7dfbb612f1a64c2f7b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a0d782ddea6e94b7dfbb612f1a64c2f7b">operations_research::sat::IntegerEncoder::GetAllIntegerLiterals</a></div><div class="ttdeci">const InlinedIntegerLiteralVector &amp; GetAllIntegerLiterals(Literal lit) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00473">integer.h:473</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a8b6d5a25e6ad3d28a85b1924471e2cac"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a8b6d5a25e6ad3d28a85b1924471e2cac">operations_research::sat::IntegerTrail::UpperBound</a></div><div class="ttdeci">IntegerValue UpperBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01439">integer.h:1439</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a45c127b9bc84730950583f5b946b4af6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a45c127b9bc84730950583f5b946b4af6">operations_research::sat::IntegerTrail::ReportConflict</a></div><div class="ttdeci">bool ReportConflict(absl::Span&lt; const IntegerLiteral &gt; integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00925">integer.h:925</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_solver_html_ad63c4461a1384629cb99413c6df8b9ca"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_solver.html#ad63c4461a1384629cb99413c6df8b9ca">operations_research::sat::SatSolver::CurrentDecisionLevel</a></div><div class="ttdeci">int CurrentDecisionLevel() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__solver_8h_source.html#l00361">sat_solver.h:361</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_ac5a8490edfd240058f8d61a2547ee999"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac5a8490edfd240058f8d61a2547ee999">operations_research::sat::GenericLiteralWatcher::~GenericLiteralWatcher</a></div><div class="ttdeci">~GenericLiteralWatcher() final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01224">integer.h:1224</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_ab65fbf2d7c21debfcc30834498c8ef36"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab65fbf2d7c21debfcc30834498c8ef36">operations_research::sat::Equality</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; Equality(IntegerVariable v, int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01711">integer.h:1711</a></div></div>
<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_abed80d7a82e03859d7abc22f93d1af81"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#abed80d7a82e03859d7abc22f93d1af81">operations_research::sat::IntegerEncoder::AddAllImplicationsBetweenAssociatedLiterals</a></div><div class="ttdeci">void AddAllImplicationsBetweenAssociatedLiterals()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00186">integer.cc:186</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a5bd8c44473618b7eafd33ba978db2f06"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5bd8c44473618b7eafd33ba978db2f06">operations_research::sat::kNoIntegerVariable</a></div><div class="ttdeci">const IntegerVariable kNoIntegerVariable(-1)</div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a8d484cfa3afefda70ef152313dffdc27"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a8d484cfa3afefda70ef152313dffdc27">operations_research::sat::AffineExpression::LowerOrEqual</a></div><div class="ttdeci">IntegerLiteral LowerOrEqual(IntegerValue bound) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01422">integer.h:1422</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac8db20a5dab063aa3ca64a4ae1202d4c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac8db20a5dab063aa3ca64a4ae1202d4c">operations_research::sat::IntegerTrail::IsIgnoredLiteral</a></div><div class="ttdeci">Literal IsIgnoredLiteral(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00703">integer.h:703</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a50114dc2ccfc26a6efc7d3e5a083ffa3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a50114dc2ccfc26a6efc7d3e5a083ffa3">operations_research::sat::IntegerEncoder::DisableImplicationBetweenLiteral</a></div><div class="ttdeci">void DisableImplicationBetweenLiteral()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00459">integer.h:459</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_affine_expression_html_a4b2c0a0bedd1e040a43c38978d4ecfb0"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_affine_expression.html#a4b2c0a0bedd1e040a43c38978d4ecfb0">operations_research::sat::AffineExpression::AffineExpression</a></div><div class="ttdeci">AffineExpression(IntegerVariable v, IntegerValue c, IntegerValue cst)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00236">integer.h:236</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_a6c233aafac25ea66d69de93a83c9be63"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">operations_research::sat::IntegerLiteral::GreaterOrEqual</a></div><div class="ttdeci">static IntegerLiteral GreaterOrEqual(IntegerVariable i, IntegerValue bound)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01377">integer.h:1377</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a2df75a6456eaa2a1c2cc3255e4a91f29"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a2df75a6456eaa2a1c2cc3255e4a91f29">operations_research::sat::IntegerTrail::FindTrailIndexOfVarBefore</a></div><div class="ttdeci">int FindTrailIndexOfVarBefore(IntegerVariable var, int threshold) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00735">integer.cc:735</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_aa4b50c0d69f1c1755bde53fe56de3edf"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa4b50c0d69f1c1755bde53fe56de3edf">operations_research::sat::IntegerTrail::FixedValue</a></div><div class="ttdeci">IntegerValue FixedValue(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01447">integer.h:1447</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_literal.html">operations_research::sat::ValueLiteralPair::CompareByLiteral</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00312">integer.h:312</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ab1619165d8afe26e20af4d8d80bf2956"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab1619165d8afe26e20af4d8d80bf2956">operations_research::sat::IntegerTrail::IntegerLiteralIsTrue</a></div><div class="ttdeci">bool IntegerLiteralIsTrue(IntegerLiteral l) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01509">integer.h:1509</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_a66912cec11f1618b05e38fc54378b6de"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#a66912cec11f1618b05e38fc54378b6de">operations_research::sat::IntegerLiteral::TrueLiteral</a></div><div class="ttdeci">static IntegerLiteral TrueLiteral()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01389">integer.h:1389</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_ac9d426060b1b7eee72e9e5345379f111"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ac9d426060b1b7eee72e9e5345379f111">operations_research::sat::GenericLiteralWatcher::WatchUpperBound</a></div><div class="ttdeci">void WatchUpperBound(IntegerVariable var, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01577">integer.h:1577</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_html_a6b21ba2a964fe375e9ddbff5d8cabca8"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a6b21ba2a964fe375e9ddbff5d8cabca8">operations_research::sat::ValueLiteralPair::value</a></div><div class="ttdeci">IntegerValue value</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00332">integer.h:332</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_aa74bf58824bcaf30a8cf9cdf40b0c51d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aa74bf58824bcaf30a8cf9cdf40b0c51d">operations_research::sat::GenericLiteralWatcher::WatchUpperBound</a></div><div class="ttdeci">void WatchUpperBound(IntegerValue i, int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01278">integer.h:1278</a></div></div>
<div class="ttc" id="rev_8h_html"><div class="ttname"><a href="rev_8h.html">rev.h</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a15ca399ada8a279dc92f693ede7e4004"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operations_research::sat::operator&lt;&lt;</a></div><div class="ttdeci">std::ostream &amp; operator&lt;&lt;(std::ostream &amp;os, const BoolVar &amp;var)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8cc_source.html#l00086">cp_model.cc:86</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a2dbcb7017d468a17bdb30252af5c6c31"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">operations_research::sat::kNoLiteralIndex</a></div><div class="ttdeci">const LiteralIndex kNoLiteralIndex(-1)</div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_trail_html_a9789bf03dba611e9be5679d6e902d0c8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">operations_research::sat::Trail::Assignment</a></div><div class="ttdeci">const VariablesAssignment &amp; Assignment() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00382">sat_base.h:382</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a267d05a02fdcc9439a5a54bf9f0ccd3c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a267d05a02fdcc9439a5a54bf9f0ccd3c">operations_research::sat::IntegerTrail::ReserveSpaceForNumVariables</a></div><div class="ttdeci">void ReserveSpaceForNumVariables(int num_vars)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00611">integer.cc:611</a></div></div>
<div class="ttc" id="expr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ad74c8b85009c0d48309f2b5b1e6ad97f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ad74c8b85009c0d48309f2b5b1e6ad97f">operations_research::sat::IntegerTrail::timestamp</a></div><div class="ttdeci">int64_t timestamp() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00902">integer.h:902</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a05cc8990d6a349e0c5960019ee47b687"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a05cc8990d6a349e0c5960019ee47b687">operations_research::sat::IntegerTrail::FirstUnassignedVariable</a></div><div class="ttdeci">IntegerVariable FirstUnassignedVariable() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01244">integer.cc:1244</a></div></div>
<div class="ttc" id="bitset_8h_html"><div class="ttname"><a href="bitset_8h.html">bitset.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a6214f11086b9e522d69b127d1d1b8541"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a6214f11086b9e522d69b127d1d1b8541">operations_research::sat::IntegerEncoder::GetTrueLiteral</a></div><div class="ttdeci">Literal GetTrueLiteral()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00517">integer.h:517</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_af46d3e8559a1951914b218e3ef4f34c7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#af46d3e8559a1951914b218e3ef4f34c7">operations_research::sat::IntegerTrail::Untrail</a></div><div class="ttdeci">void Untrail(const Trail &amp;trail, int literal_trail_index) final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00561">integer.cc:561</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::ValueLiteralPair::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00039">integer.cc:39</a></div></div>
<div class="ttc" id="namespaceoperations__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#l00906">sat_solver.h:906</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1e30e51173c7e43a8c0b4668d5e3f050"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1e30e51173c7e43a8c0b4668d5e3f050">operations_research::sat::IntTypeAbs</a></div><div class="ttdeci">IntType IntTypeAbs(IntType t)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00079">integer.h:79</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value_html_a214e3fd8aa214706a89562126aab37a4"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_value_literal_pair_1_1_compare_by_value.html#a214e3fd8aa214706a89562126aab37a4">operations_research::sat::ValueLiteralPair::CompareByValue::operator()</a></div><div class="ttdeci">bool operator()(const ValueLiteralPair &amp;a, const ValueLiteralPair &amp;b) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00319">integer.h:319</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_propagator_interface_html_a0b6fee10fed5641a012a7658d5fad396"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_propagator_interface.html#a0b6fee10fed5641a012a7658d5fad396">operations_research::sat::PropagatorInterface::~PropagatorInterface</a></div><div class="ttdeci">virtual ~PropagatorInterface()</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01176">integer.h:1176</a></div></div>
<div class="ttc" id="namespaceoperations__research_1_1sat_html_acf09b937c4d7439804c0fc61afcb7008"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acf09b937c4d7439804c0fc61afcb7008">operations_research::sat::GetPositiveOnlyIndex</a></div><div class="ttdeci">PositiveOnlyIndex GetPositiveOnlyIndex(IntegerVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00149">integer.h:149</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_ac72fc3390d9ea9586c9f6a7623301b78"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ac72fc3390d9ea9586c9f6a7623301b78">operations_research::sat::IntegerTrail::~IntegerTrail</a></div><div class="ttdeci">~IntegerTrail() final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00491">integer.cc:491</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_sat_parameters_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_parameters.html">operations_research::sat::SatParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__parameters_8pb_8h_source.html#l00347">sat_parameters.pb.h:347</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_rev_int_repository_html_a453cf85bf65a7a3c1d4ae4dac6568ba1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_rev_int_repository.html#a453cf85bf65a7a3c1d4ae4dac6568ba1">operations_research::sat::RevIntRepository::RevIntRepository</a></div><div class="ttdeci">RevIntRepository(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01206">integer.h:1206</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_aa68cc40c827bff2fb311040e2b848f9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#aa68cc40c827bff2fb311040e2b848f9b">operations_research::sat::IntegerTrail::LevelZeroLowerBound</a></div><div class="ttdeci">IntegerValue LevelZeroLowerBound(IntegerVariable var) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01519">integer.h:1519</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_ab0e5f5a9066ecab18c474d867d7ea8d1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#ab0e5f5a9066ecab18c474d867d7ea8d1">operations_research::sat::GenericLiteralWatcher::GenericLiteralWatcher</a></div><div class="ttdeci">GenericLiteralWatcher(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01799">integer.cc:1799</a></div></div>
<div class="ttc" id="demon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_ad55a4c10038238295d6a051ba6eb9864"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#ad55a4c10038238295d6a051ba6eb9864">operations_research::sat::IntegerLiteral::operator!=</a></div><div class="ttdeci">bool operator!=(IntegerLiteral o) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00200">integer.h:200</a></div></div>
<div class="ttc" id="optimization_8cc_html_af63dcc00f2023fdf498e0829e6fb8a6b"><div class="ttname"><a href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a></div><div class="ttdeci">Literal literal</div><div class="ttdef"><b>Definition:</b> <a href="optimization_8cc_source.html#l00085">optimization.cc:85</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a1f591be5334541874ba049873235f0a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a1f591be5334541874ba049873235f0a9">operations_research::sat::IntegerTrail::Propagate</a></div><div class="ttdeci">bool Propagate(Trail *trail) final</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00498">integer.cc:498</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a85cf893ae4508f0fa329a5954082b084"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a85cf893ae4508f0fa329a5954082b084">operations_research::sat::GenericLiteralWatcher::WatchUpperBound</a></div><div class="ttdeci">void WatchUpperBound(AffineExpression e, int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01268">integer.h:1268</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_a52b7cb1c1d49421f48b583e4aaa550d8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#a52b7cb1c1d49421f48b583e4aaa550d8">operations_research::sat::IntegerEncoder::NewlyFixedIntegerLiterals</a></div><div class="ttdeci">const std::vector&lt; IntegerLiteral &gt; NewlyFixedIntegerLiterals() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00482">integer.h:482</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_trail_html_a523501d854b2ca8034d37c15e7c89117"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a523501d854b2ca8034d37c15e7c89117">operations_research::sat::IntegerTrail::IsFixed</a></div><div class="ttdeci">bool IsFixed(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01443">integer.h:1443</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_encoder_html_af2f5ad9df8701dacbf53b9a6159d903d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_encoder.html#af2f5ad9df8701dacbf53b9a6159d903d">operations_research::sat::IntegerEncoder::AssociateToIntegerLiteral</a></div><div class="ttdeci">void AssociateToIntegerLiteral(Literal literal, IntegerLiteral i_lit)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00300">integer.cc:300</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_a8963fd33e7bd70e749b2a37060ef1274"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8963fd33e7bd70e749b2a37060ef1274">operations_research::sat::GenericLiteralWatcher::RegisterReversibleInt</a></div><div class="ttdeci">void RegisterReversibleInt(int id, int *rev)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02039">integer.cc:2039</a></div></div>
<div class="ttc" id="structoperations__research_1_1sat_1_1_integer_literal_html_acdf4fa2b01f966a49e7274343f52dd52"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_integer_literal.html#acdf4fa2b01f966a49e7274343f52dd52">operations_research::sat::IntegerLiteral::Negated</a></div><div class="ttdeci">IntegerLiteral Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01397">integer.h:1397</a></div></div>
<div class="ttc" id="classoperations__research_1_1sat_1_1_generic_literal_watcher_html_aef66ce77e5b87afecf1c5696f44d4d1c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aef66ce77e5b87afecf1c5696f44d4d1c">operations_research::sat::GenericLiteralWatcher::NotifyThatPropagatorMayNotReachFixedPointInOnePass</a></div><div class="ttdeci">void NotifyThatPropagatorMayNotReachFixedPointInOnePass(int id)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l02025">integer.cc:2025</a></div></div>
<div class="ttc" id="constraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
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