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<div class="title">symmetry.h</div> </div>
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<a href="symmetry_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 2010-2018 Google LLC</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#ifndef OR_TOOLS_SAT_SYMMETRY_H_</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#define OR_TOOLS_SAT_SYMMETRY_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;memory&gt;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;absl/types/span.h&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sparse__permutation_8h.html">ortools/algorithms/sparse_permutation.h</a>&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="macros_8h.html">ortools/base/macros.h</a>&quot;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>&quot;</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="stats_8h.html">ortools/util/stats.h</a>&quot;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">namespace </span>sat {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="comment">// This class implements more or less the strategy described in the paper:</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="comment">// Devriendt J., Bogaerts B., De Cat B., Denecker M., Mears C. &quot;Symmetry</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="comment">// propagation: Improved Dynamic Symmetry Breaking in SAT&quot;, 2012,</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="comment">// IEEE 24th International Conference on Tools with Artificial Intelligence.</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment">// Basically, each time a literal is propagated, this class tries to detect</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="comment">// if another literal could also be propagated by symmetry. Note that this uses</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="comment">// a heuristic in order to be efficient and that it is not exhaustive in the</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="comment">// sense that it doesn&#39;t detect all possible propagations.</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="comment">// Algorithm details:</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">// Given the current solver trail (i.e. the assigned literals and their</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="comment">// assignment order) the idea is to compute (as efficiently as possible) for</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">// each permutation added to this class what is called the first (under the</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="comment">// trail assignment order) non-symmetric literal. A literal &#39;l&#39; is said to be</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="comment">// non-symmetric under a given assignement and for a given permutation &#39;p&#39; if</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="comment">// &#39;l&#39; is assigned to true but not &#39;p(l)&#39;.</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="comment">// If a first non-symmetric literal &#39;l&#39; for a permutation &#39;p&#39; is not a decision,</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="comment">// then:</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="comment">// - Because it is not a decision, &#39;l&#39; has been implied by a reason formed by</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment">// literals assigned to true at lower trail indices.</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment">// - Because this is the first non-symmetric literal for &#39;p&#39;, the permuted</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment">// reason only contains literal that are also assigned to true.</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment">// - Because of this, &#39;p(l)&#39; is also implied by the current assignment.</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="comment">// Of course, this assume that p is a symmetry of the full problem.</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="comment">// Note that if it is already assigned to false, then we have a conflict.</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="comment">// TODO(user): Implement the optimizations mentioned in the paper?</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment">// TODO(user): Instrument and see if the code can be optimized.</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html"> 61</a></span>&#160;<span class="keyword">class </span><a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html">SymmetryPropagator</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="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keyword">public</span>:</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#ad18f8565326a3499eaaf93cf61874e81">SymmetryPropagator</a>();</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#a80f3e199920544ae3b6c153eb6a5dbd9">~SymmetryPropagator</a>() <span class="keyword">override</span>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.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="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#ae20e3965a974e3a5fe816c033a94e568">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> trail_index) <span class="keyword">final</span>;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; absl::Span&lt;const Literal&gt; <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#a5aa25e6e306c7158c11d2053170379a2">Reason</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail,</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordtype">int</span> trail_index) <span class="keyword">const</span> <span class="keyword">final</span>;</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"> 71</span>&#160; <span class="comment">// Adds a new permutation to this symmetry propagator. The ownership is</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="comment">// transferred. This must be an integer permutation such that:</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="comment">// - Its domain is [0, 2 * num_variables) and corresponds to the index</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="comment">// representation of the literals over num_variables variables.</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="comment">// - It must be compatible with the negation, for any literal l; not(p(l))</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// must be the same as p(not(l)), where p(x) represents the image of x by</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="comment">// the permutation.</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// Remark: Any permutation which is a symmetry of the main SAT problem can be</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">// added here. However, since the number of permutations is usually not</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="comment">// manageable, a good alternative is to only add the generators of the</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="comment">// permutation group. It is also important to add permutations with a support</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="comment">// as small as possible.</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="comment">// TODO(user): Currently this can only be called before PropagateNext() is</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="comment">// called (DCHECKed). Not sure if we need more incrementality though.</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#ab3ea09bd62099558df839d90dbf75f18">AddSymmetry</a>(std::unique_ptr&lt;SparsePermutation&gt; permutation);</div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#abee813abca9d038c86ed0eb3f5a931ef"> 88</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#abee813abca9d038c86ed0eb3f5a931ef">num_permutations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> permutations_.size(); }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="comment">// Visible for testing.</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="comment">//</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="comment">// Permutes a list of literals from input into output using the permutation</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="comment">// with given index. This uses tmp_literal_mapping_ and has a complexity in</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="comment">// O(permutation_support + input_size).</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#ac67f3c401535372b0059154d848e43c9">Permute</a>(<span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, absl::Span&lt;const Literal&gt; <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>,</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; std::vector&lt;Literal&gt;* output) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keyword">private</span>:</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="comment">// Propagates the literal at propagation_trail_index_ from the trail.</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordtype">bool</span> PropagateNext(<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="comment">// The permutations.</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="comment">// The index of a permutation is its position in this vector.</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; std::vector&lt;std::unique_ptr&lt;SparsePermutation&gt;&gt; permutations_;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="comment">// Reverse mapping (source literal) -&gt; list of (permutation_index, image).</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">struct </span>ImageInfo {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; ImageInfo(<span class="keywordtype">int</span> p, <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> i) : permutation_index(p), image(i) {}</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordtype">int</span> permutation_index;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; Literal image;</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; <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, std::vector&lt;ImageInfo&gt;</a>&gt; images_;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="comment">// For each permutation p, we maintain the list of all assigned literals</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="comment">// affected by p whose trail index is &lt; propagation_trail_index_; sorted by</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="comment">// trail index. Next to each such literal, we also store:</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keyword">struct </span>AssignedLiteralInfo {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; AssignedLiteralInfo(Literal l, Literal i, <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>)</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; : <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>(l), image(i), first_non_symmetric_info_index_so_far(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) {}</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="comment">// The literal in question (assigned to true and in the support of p).</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; Literal <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="comment">// The image by p of the literal above.</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; Literal image;</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">// Previous AssignedLiteralInfos are considered &#39;symmetric&#39; iff both their</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="comment">// &#39;literal&#39; and &#39;image&#39; were assigned to true at the time the current</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="comment">// AssignedLiteralInfo&#39;s literal was assigned (i.e. earlier in the trail).</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keywordtype">int</span> first_non_symmetric_info_index_so_far;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; };</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; std::vector&lt;std::vector&lt;AssignedLiteralInfo&gt;&gt; permutation_trails_;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="comment">// Adds an AssignedLiteralInfo to the given permutation trail.</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="comment">// Returns false if there is a non-symmetric literal in this trail with its</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">// image not already assigned to true by the solver.</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordtype">bool</span> Enqueue(<span class="keyword">const</span> Trail&amp; trail, Literal <a class="code" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, Literal image,</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; std::vector&lt;AssignedLiteralInfo&gt;* p_trail);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="comment">// The identity permutation over all the literals.</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="comment">// This is temporary modified to encode a sparse permutation and then always</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="comment">// restored to the identity.</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keyword">mutable</span> <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, Literal&gt;</a> tmp_literal_mapping_;</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; <span class="comment">// Symmetry reason indexed by trail_index.</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keyword">struct </span>ReasonInfo {</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="keywordtype">int</span> source_trail_index;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keywordtype">int</span> symmetry_index;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; };</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; std::vector&lt;ReasonInfo&gt; reasons_;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keyword">mutable</span> StatsGroup stats_;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keywordtype">int</span> num_propagations_;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordtype">int</span> num_conflicts_;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1sat_1_1_symmetry_propagator.html#ad18f8565326a3499eaaf93cf61874e81">SymmetryPropagator</a>);</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">// namespace sat</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_SYMMETRY_H_</span></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector</a></div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00076">strong_vector.h:76</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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