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<a href="clause_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment">// This file contains the solver internal representation of the clauses and the</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment">// classes used for their propagation.</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_CLAUSE_H_</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#define OR_TOOLS_SAT_CLAUSE_H_</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;deque&gt;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;utility&gt;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &quot;absl/base/attributes.h&quot;</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &quot;absl/container/flat_hash_set.h&quot;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &quot;absl/container/inlined_vector.h&quot;</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &quot;absl/random/bit_gen_ref.h&quot;</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &quot;absl/types/span.h&quot;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include &quot;<a class="code" href="hash_8h.html">ortools/base/hash.h</a>&quot;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &quot;<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>&quot;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include &quot;<a class="code" href="macros_8h.html">ortools/base/macros.h</a>&quot;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><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 id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include &quot;<a class="code" href="drat__proof__handler_8h.html">ortools/sat/drat_proof_handler.h</a>&quot;</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>&quot;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include &quot;<a class="code" href="sat__base_8h.html">ortools/sat/sat_base.h</a>&quot;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include &quot;ortools/sat/sat_parameters.pb.h&quot;</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="preprocessor">#include &quot;<a class="code" href="sat_2util_8h.html">ortools/sat/util.h</a>&quot;</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include &quot;<a class="code" href="bitset_8h.html">ortools/util/bitset.h</a>&quot;</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include &quot;<a class="code" href="stats_8h.html">ortools/util/stats.h</a>&quot;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="preprocessor">#include &quot;<a class="code" href="strong__integers_8h.html">ortools/util/strong_integers.h</a>&quot;</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="preprocessor">#include &quot;<a class="code" href="time__limit_8h.html">ortools/util/time_limit.h</a>&quot;</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="keyword">namespace </span>sat {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// This is how the SatSolver stores a clause. A clause is just a disjunction of</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">// literals. In many places, we just use vector&lt;literal&gt; to encode one. But in</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">// the critical propagation code, we use this class to remove one memory</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">// indirection.</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html"> 54</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a> {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// Creates a sat clause. There must be at least 2 literals.</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// Clause with one literal fix variable directly and are never constructed.</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// Note that in practice, we use BinaryImplicationGraph for the clause of size</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// 2, so this is used for size at least 3.</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">static</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#ad891f84075141b619317c2634891d010">Create</a>(absl::Span&lt;const Literal&gt; literals);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// Non-sized delete because this is a tail-padded class.</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a86107594327f3a001230df9802cd4422"> 63</a></span> <span class="keywordtype">void</span> <span class="keyword">operator</span> <span class="keyword">delete</span>(<span class="keywordtype">void</span>* p) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> ::operator <span class="keyword">delete</span>(p); <span class="comment">// non-sized delete</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// Number of literals in the clause.</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#af9593d4a5ff4274efaf429cb4f9e57cc"> 68</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#af9593d4a5ff4274efaf429cb4f9e57cc">size</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> size_; }</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a78c28538faebd5f023cd4511df6ffee4"> 69</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a78c28538faebd5f023cd4511df6ffee4">empty</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> size_ == 0; }</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// Allows for range based iteration: for (Literal literal : clause) {}.</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a038d65130c9a8115fd34fcad758a2bbe"> 72</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>* <span class="keyword">const</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a038d65130c9a8115fd34fcad758a2bbe">begin</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> &amp;(literals_[0]); }</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#aac478410407cfc737e1b9a4db4952d23"> 73</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>* <span class="keyword">const</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#aac478410407cfc737e1b9a4db4952d23">end</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> &amp;(literals_[size_]); }</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// Returns the first and second literals. These are always the watched</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// literals if the clause is attached in the LiteralWatchers.</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#ad6fa965d41774098c99258d76677fa02"> 77</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#ad6fa965d41774098c99258d76677fa02">FirstLiteral</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> literals_[0]; }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a32e91bfa50c69a7b51346b9de33831ea"> 78</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a32e91bfa50c69a7b51346b9de33831ea">SecondLiteral</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> literals_[1]; }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// Returns the literal that was propagated to true. This only works for a</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// clause that just propagated this literal. Otherwise, this will just returns</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// a literal of the clause.</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a43aee08d7cb1f81a9fee85b46820f175"> 83</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a43aee08d7cb1f81a9fee85b46820f175">PropagatedLiteral</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> literals_[0]; }</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// Returns the reason for the last unit propagation of this clause. The</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// preconditions are the same as for PropagatedLiteral(). Note that we don&#39;t</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// need to include the propagated literal.</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a134ccfd39c4af0a201acdd1755a281bb"> 88</a></span> absl::Span&lt;const Literal&gt; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a134ccfd39c4af0a201acdd1755a281bb">PropagationReason</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">return</span> absl::Span&lt;const Literal&gt;(&amp;(literals_[1]), size_ - 1);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Returns a Span&lt;&gt; representation of the clause.</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a032da0acc85935dc44b2b885071bf7f7"> 93</a></span> absl::Span&lt;const Literal&gt; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a032da0acc85935dc44b2b885071bf7f7">AsSpan</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span> absl::Span&lt;const Literal&gt;(&amp;(literals_[0]), size_);</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// Removes literals that are fixed. This should only be called at level 0</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// where a literal is fixed iff it is assigned. Aborts and returns true if</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// they are not all false.</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">//</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Note that the removed literal can still be accessed in the portion [size,</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// old_size) of literals().</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a69422a656b68d50692a1b01e2b0d22ae">RemoveFixedLiteralsAndTestIfTrue</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_variables_assignment.html">VariablesAssignment</a>&amp; assignment);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// Returns true if the clause is satisfied for the given assignment. Note that</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// the assignment may be partial, so false does not mean that the clause can&#39;t</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// be satisfied by completing the assignment.</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a6095b00a4734d32844a85927b355ce32">IsSatisfied</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_variables_assignment.html">VariablesAssignment</a>&amp; assignment) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// Returns true if the clause is attached to a LiteralWatchers.</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#ad8932e395fe5c508700b7f95d3064aef"> 111</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#ad8932e395fe5c508700b7f95d3064aef">IsAttached</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> size_ &gt; 0; }</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> std::string <a class="code hl_function" href="classoperations__research_1_1sat_1_1_sat_clause.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// LiteralWatchers needs to permute the order of literals in the clause and</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// call Clear()/Rewrite.</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_sat_clause.html#a441b0302a38e88ed3a19874b76709b81"> 118</a></span> <span class="keyword">friend</span> <span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal_watchers.html">LiteralWatchers</a>;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>* literals() { <span class="keywordflow">return</span> &amp;(literals_[0]); }</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="comment">// Marks the clause so that the next call to CleanUpWatchers() can identify it</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// and actually detach it. We use size_ = 0 for this since the clause will</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// never be used afterwards.</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordtype">void</span> Clear() { size_ = 0; }</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="comment">// Rewrites a clause with another shorter one. Note that the clause shouldn&#39;t</span></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// be attached when this is called.</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordtype">void</span> Rewrite(absl::Span&lt;const Literal&gt; new_clause) {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> size_ = 0;</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> Literal l : new_clause) literals_[size_++] = l;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> int32_t size_;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// This class store the literals inline, and literals_ mark the starts of the</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// variable length portion.</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> Literal literals_[0];</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <a class="code hl_define" href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a>(SatClause);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span>};</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="comment">// Clause information used for the clause database management. Note that only</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="comment">// the clauses that can be removed have an info. The problem clauses and</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="comment">// the learned one that we wants to keep forever do not have one.</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_clause_info.html"> 146</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_clause_info.html">ClauseInfo</a> {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_clause_info.html#ac3e857ac5cab6563bdbf0dd5632df5ea"> 147</a></span> <span class="keywordtype">double</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_clause_info.html#ac3e857ac5cab6563bdbf0dd5632df5ea">activity</a> = 0.0;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_clause_info.html#aeae764750e16aaa4d963129a5dd92b6d"> 148</a></span> int32_t <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_clause_info.html#aeae764750e16aaa4d963129a5dd92b6d">lbd</a> = 0;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_clause_info.html#a88057f377391af0e1ebe4b97af753d19"> 149</a></span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_clause_info.html#a88057f377391af0e1ebe4b97af753d19">protected_during_next_cleanup</a> = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>};</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">BinaryImplicationGraph</a>;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment">// Stores the 2-watched literals data structure. See</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="comment">// http://www.cs.berkeley.edu/~necula/autded/lecture24-sat.pdf for</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span><span class="comment">// detail.</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span><span class="comment">//</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span><span class="comment">// This class is also responsible for owning the clause memory and all related</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span><span class="comment">// information.</span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="comment">//</span></div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span><span class="comment">// TODO(user): Rename ClauseManager. This does more than just watching the</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="comment">// clauses and is the place where all the clauses are stored.</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html"> 163</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal_watchers.html">LiteralWatchers</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a> {</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keyword">explicit</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a1c7c594a8c50b3a60f4b67b74da2e4ed">LiteralWatchers</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ac5790e264f5bf7307a81ca51f1e0db66">~LiteralWatchers</a>() <span class="keyword">override</span>;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// Must be called before adding clauses referring to such variables.</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#af7fbbd00f0e631ce361b5ce6636b2017">Resize</a>(<span class="keywordtype">int</span> num_variables);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="comment">// SatPropagator API.</span></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a1f591be5334541874ba049873235f0a9">Propagate</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail) <span class="keyword">final</span>;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> absl::Span&lt;const Literal&gt; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a5aa25e6e306c7158c11d2053170379a2">Reason</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail,</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">int</span> trail_index) <span class="keyword">const</span> <span class="keyword">final</span>;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="comment">// Returns the reason of the variable at given trail_index. This only works</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// for variable propagated by this class and is almost the same as Reason()</span></div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// with a different return format.</span></div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#aaf9f3bc83c843a94dd2240e2a81a5e3b">ReasonClause</a>(<span class="keywordtype">int</span> trail_index) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// Adds a new clause and perform initial propagation for this clause only.</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#aaec5e05be5e5e385c6222c023587cb05">AddClause</a>(absl::Span&lt;const Literal&gt; literals, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#aaec5e05be5e5e385c6222c023587cb05">AddClause</a>(absl::Span&lt;const Literal&gt; literals);</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// Same as AddClause() for a removable clause. This is only called on learned</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// conflict, so this should never have all its literal at false (CHECKED).</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a6af58ea401f90fe1a40be4558dba478a">AddRemovableClause</a>(<span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals,</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Lazily detach the given clause. The deletion will actually occur when</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// CleanUpWatchers() is called. The later needs to be called before any other</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// function in this class can be called. This is DCHECKed.</span></div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">//</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// Note that we remove the clause from clauses_info_ right away.</span></div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab6bd51395bef8b42ac66ad9b52635084">LazyDetach</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause);</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ae57f3c4e72eb63a34fa09e707a18e6d3">CleanUpWatchers</a>();</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// Detaches the given clause right away.</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">//</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// TODO(user): It might be better to have a &quot;slower&quot; mode in</span></div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// PropagateOnFalse() that deal with detached clauses in the watcher list and</span></div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// is activated until the next CleanUpWatchers() calls.</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#af3769ff2cdf469ae4a13cc4f6b15bc14">Detach</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause);</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// Attaches the given clause. The first two literal of the clause must</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// be unassigned and the clause must not be already attached.</span></div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#aab96a842b592211bf178caaf41e41f1d">Attach</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="comment">// Reclaims the memory of the lazily removed clauses (their size was set to</span></div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// zero) and remove them from AllClausesInCreationOrder() this work in</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// O(num_clauses()).</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ae234022ee7c496416290d1946f56e1ad">DeleteRemovedClauses</a>();</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a9e43736bb5ad76519001b5beeb0eac6d"> 213</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a9e43736bb5ad76519001b5beeb0eac6d">num_clauses</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> clauses_.size(); }</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#abe425f3287da97e7ffaa8c9dfb3dcefe"> 214</a></span> <span class="keyword">const</span> std::vector&lt;SatClause*&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#abe425f3287da97e7ffaa8c9dfb3dcefe">AllClausesInCreationOrder</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordflow">return</span> clauses_;</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> }</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// True if removing this clause will not change the set of feasible solution.</span></div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// This is the case for clauses that were learned during search. Note however</span></div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// that some learned clause are kept forever (heuristics) and do not appear</span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="comment">// here.</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab054db78fc1b1e1681d2fc4e9fd1ca45"> 222</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab054db78fc1b1e1681d2fc4e9fd1ca45">IsRemovable</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <span class="keyword">const</span> clause)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">return</span> clauses_info_.contains(clause);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> }</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab80681ada3f207791a16617205935937"> 225</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab80681ada3f207791a16617205935937">num_removable_clauses</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> clauses_info_.size(); }</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a5dd3bd6d733d8f5647f15e225f8e91c4"> 226</a></span> absl::flat_hash_map&lt;SatClause*, ClauseInfo&gt;* <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a5dd3bd6d733d8f5647f15e225f8e91c4">mutable_clauses_info</a>() {</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keywordflow">return</span> &amp;clauses_info_;</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> }</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// Total number of clauses inspected during calls to PropagateOnFalse().</span></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a70c5a070f03810d5467c5758f6bb916e"> 231</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a70c5a070f03810d5467c5758f6bb916e">num_inspected_clauses</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_inspected_clauses_; }</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ad78bb381916ac421212217a3e5cb03ab"> 232</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ad78bb381916ac421212217a3e5cb03ab">num_inspected_clause_literals</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">return</span> num_inspected_clause_literals_;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// The number of different literals (always twice the number of variables).</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#af18b28ba180d18c4e4f524d6fde71f28"> 237</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#af18b28ba180d18c4e4f524d6fde71f28">literal_size</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> needs_cleaning_.<a class="code hl_function" href="classoperations__research_1_1_sparse_bitset.html#a2fa637a68bc1b88e3d5da4f97932411a">size</a>().value(); }</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="comment">// Number of clauses currently watched.</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab6174cc15ef4df301b31aff43216039e"> 240</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab6174cc15ef4df301b31aff43216039e">num_watched_clauses</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_watched_clauses_; }</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a75f1d17f36330a1c8a96e43fe8805598"> 242</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a75f1d17f36330a1c8a96e43fe8805598">SetDratProofHandler</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">DratProofHandler</a>* drat_proof_handler) {</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> drat_proof_handler_ = drat_proof_handler;</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> }</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="comment">// Really basic algorithm to return a clause to try to minimize. We simply</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// loop over the clause that we keep forever, in creation order. This starts</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// by the problem clauses and then the learned one that we keep forever.</span></div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a32aff14f95e1bfa0ac66cbff8e2f6cb7"> 249</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a32aff14f95e1bfa0ac66cbff8e2f6cb7">NextClauseToMinimize</a>() {</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keywordflow">for</span> (; to_minimize_index_ &lt; clauses_.size(); ++to_minimize_index_) {</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keywordflow">if</span> (!clauses_[to_minimize_index_]-&gt;IsAttached()) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab054db78fc1b1e1681d2fc4e9fd1ca45">IsRemovable</a>(clauses_[to_minimize_index_])) {</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordflow">return</span> clauses_[to_minimize_index_++];</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> }</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> }</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> }</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="comment">// Restart the scan in NextClauseToMinimize() from the first problem clause.</span></div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ada4c57ad822069c6c61a93973dc39c4d"> 260</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ada4c57ad822069c6c61a93973dc39c4d">ResetToMinimizeIndex</a>() { to_minimize_index_ = 0; }</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// During an inprocessing phase, it is easier to detach all clause first,</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="comment">// then simplify and then reattach them. Note however that during these</span></div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="comment">// two calls, it is not possible to use the solver unit-progation.</span></div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="comment">//</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// Important: When reattach is called, we assume that none of their literal</span></div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// are fixed, so we don&#39;t do any special checks.</span></div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="comment">//</span></div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="comment">// These functions can be called multiple-time and do the right things. This</span></div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// way before doing something, you can call the corresponding function and be</span></div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="comment">// sure to be in a good state. I.e. always AttachAllClauses() before</span></div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="comment">// propagation and DetachAllClauses() before going to do an inprocessing pass</span></div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="comment">// that might transform them.</span></div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a38c7c4ca12035b254d9497a401606e0c">DetachAllClauses</a>();</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a56cba28a88a7cffa362a362fdce24dc3">AttachAllClauses</a>();</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// These must only be called between [Detach/Attach]AllClauses() calls.</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a287676c504a640a5569710d352ef6585">InprocessingRemoveClause</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause);</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a0ddf4dc22639ee58f75985d875d1fd2d">InprocessingFixLiteral</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> true_literal);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab17b31190c5ab58a1334139848335283">InprocessingRewriteClause</a>(</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause, absl::Span&lt;const Literal&gt; new_clause);</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="comment">// This can return nullptr if new_clause was of size one or two as these are</span></div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="comment">// treated differently. Note that none of the variable should be fixed in the</span></div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="comment">// given new clause.</span></div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#a74971b631e1b357b2f440dff321b5c9b">InprocessingAddClause</a>(absl::Span&lt;const Literal&gt; new_clause);</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="comment">// Contains, for each literal, the list of clauses that need to be inspected</span></div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="comment">// when the corresponding literal becomes false.</span></div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html"> 290</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html">Watcher</a> {</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a4a0473c811fac417fd412079d44641bc"> 291</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a4a0473c811fac417fd412079d44641bc">Watcher</a>() {}</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a8a2bf3687ccbe5c521d93a13c07d6d77"> 292</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a8a2bf3687ccbe5c521d93a13c07d6d77">Watcher</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* c, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>, <span class="keywordtype">int</span> i = 2)</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> : <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#aac01b9da5c153681e4b792e0fa0b8d41">blocking_literal</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a6382444169ace737c31ed66f4aaa4911">start_index</a>(i), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#ad6bf9b00a3144ebd5ded72037f2b577f">clause</a>(c) {}</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="comment">// Optimization. A literal from the clause that sometimes allow to not even</span></div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="comment">// look at the clause memory when true.</span></div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#aac01b9da5c153681e4b792e0fa0b8d41"> 297</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#aac01b9da5c153681e4b792e0fa0b8d41">blocking_literal</a>;</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="comment">// Optimization. An index in the clause. Instead of looking for another</span></div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// literal to watch from the start, we will start from here instead, and</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="comment">// loop around if needed. This allows to avoid bad quadratric corner cases</span></div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// and lead to an &quot;optimal&quot; complexity. See &quot;Optimal Implementation of</span></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="comment">// Watched Literals and more General Techniques&quot;, Ian P. Gent.</span></div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="comment">//</span></div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="comment">// Note that ideally, this should be part of a SatClause, so it can be</span></div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="comment">// shared across watchers. However, since we have 32 bits for &quot;free&quot; here</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="comment">// because of the struct alignment, we store it here instead.</span></div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a6382444169ace737c31ed66f4aaa4911"> 308</a></span> int32_t <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a6382444169ace737c31ed66f4aaa4911">start_index</a>;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> </div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#ad6bf9b00a3144ebd5ded72037f2b577f"> 310</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#ad6bf9b00a3144ebd5ded72037f2b577f">clause</a>;</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> };</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> </div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="comment">// This is exposed since some inprocessing code can heuristically exploit the</span></div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="comment">// currently watched literal and blocking literal to do some simplification.</span></div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ac94efbc893d56e2b210b3954d14c0bcc"> 315</a></span> <span class="keyword">const</span> std::vector&lt;Watcher&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal_watchers.html#ac94efbc893d56e2b210b3954d14c0bcc">WatcherListOnFalse</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> false_literal)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">return</span> watchers_on_false_[false_literal.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()];</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> }</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> </div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="comment">// Attaches the given clause. This eventually propagates a literal which is</span></div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="comment">// enqueued on the trail. Returns false if a contradiction was encountered.</span></div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keywordtype">bool</span> AttachAndPropagate(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> </div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="comment">// Launches all propagation when the given literal becomes false.</span></div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="comment">// Returns false if a contradiction was encountered.</span></div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordtype">bool</span> PropagateOnFalse(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> false_literal, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> </div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="comment">// Attaches the given clause to the event: the given literal becomes false.</span></div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="comment">// The blocking_literal can be any literal from the clause, it is used to</span></div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="comment">// speed up PropagateOnFalse() by skipping the clause if it is true.</span></div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keywordtype">void</span> AttachOnFalse(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> blocking_literal,</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause);</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="comment">// Common code between LazyDetach() and Detach().</span></div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <span class="keywordtype">void</span> InternalDetach(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_clause.html">SatClause</a>* clause);</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, std::vector&lt;Watcher&gt;</a>&gt; watchers_on_false_;</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="comment">// SatClause reasons by trail_index.</span></div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> std::vector&lt;SatClause*&gt; reasons_;</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="comment">// Indicates if the corresponding watchers_on_false_ list need to be</span></div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="comment">// cleaned. The boolean is_clean_ is just used in DCHECKs.</span></div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset&lt;LiteralIndex&gt;</a> needs_cleaning_;</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordtype">bool</span> is_clean_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">BinaryImplicationGraph</a>* implication_graph_;</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail_;</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> </div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> int64_t num_inspected_clauses_;</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> int64_t num_inspected_clause_literals_;</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> int64_t num_watched_clauses_;</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <span class="keyword">mutable</span> <a class="code hl_class" href="classoperations__research_1_1_stats_group.html">StatsGroup</a> stats_;</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="comment">// For DetachAllClauses()/AttachAllClauses().</span></div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <span class="keywordtype">bool</span> all_clauses_are_attached_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> </div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="comment">// All the clauses currently in memory. This vector has ownership of the</span></div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <span class="comment">// pointers. We currently do not use std::unique_ptr&lt;SatClause&gt; because it</span></div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="comment">// can&#39;t be used with some STL algorithms like std::partition.</span></div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="comment">//</span></div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="comment">// Note that the unit clauses and binary clause are not kept here.</span></div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> std::vector&lt;SatClause*&gt; clauses_;</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> </div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <span class="keywordtype">int</span> to_minimize_index_ = 0;</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="comment">// Only contains removable clause.</span></div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> absl::flat_hash_map&lt;SatClause*, ClauseInfo&gt; clauses_info_;</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> </div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">DratProofHandler</a>* drat_proof_handler_ = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> </div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal_watchers.html">LiteralWatchers</a>);</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span>};</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> </div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span><span class="comment">// A binary clause. This is used by BinaryClauseManager.</span></div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_binary_clause.html"> 376</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_binary_clause.html">BinaryClause</a> {</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_binary_clause.html#acfdf00e98421d5336252330c6ee85e21"> 377</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_binary_clause.html#acfdf00e98421d5336252330c6ee85e21">BinaryClause</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> _a, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> _b) : <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a>(_a), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a>(_b) {}</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_binary_clause.html#a1fb4d33282747e00e9587898f7bd7c1d"> 378</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_binary_clause.html#a1fb4d33282747e00e9587898f7bd7c1d">operator==</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_binary_clause.html">BinaryClause</a> o)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a> == o.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a> &amp;&amp; <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a> == o.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a>; }</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_binary_clause.html#a6e41fd727b3db90295d6f86f9a24691f"> 379</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_binary_clause.html#a6e41fd727b3db90295d6f86f9a24691f">operator!=</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_binary_clause.html">BinaryClause</a> o)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a> != o.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a> || <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a> != o.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a>; }</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9"> 380</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a>;</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613"> 381</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a>;</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span>};</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> </div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span><span class="comment">// A simple class to manage a set of binary clauses.</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html"> 385</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html">BinaryClauseManager</a> {</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#ab8021c937cf1eaa07cdfa85ed1bb5e43"> 387</a></span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#ab8021c937cf1eaa07cdfa85ed1bb5e43">BinaryClauseManager</a>() {}</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a235d38393e2379eb6a016446341d2102"> 388</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a235d38393e2379eb6a016446341d2102">NumClauses</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> set_.size(); }</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> </div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="comment">// Adds a new binary clause to the manager and returns true if it wasn&#39;t</span></div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <span class="comment">// already present.</span></div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a4690b2e5ad68f70322cca80950f5bf7d"> 392</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a4690b2e5ad68f70322cca80950f5bf7d">Add</a>(<a class="code hl_struct" href="structoperations__research_1_1sat_1_1_binary_clause.html">BinaryClause</a> c) {</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> std::pair&lt;int, int&gt; p(c.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">a</a>.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a44fc3f1a79635fadb162d04cec312341">SignedValue</a>(), c.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">b</a>.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a44fc3f1a79635fadb162d04cec312341">SignedValue</a>());</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">if</span> (p.first &gt; p.second) <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">std::swap</a>(p.first, p.second);</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <span class="keywordflow">if</span> (set_.find(p) == set_.end()) {</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> set_.insert(p);</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> newly_added_.push_back(c);</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> }</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> }</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> </div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <span class="comment">// Returns the newly added BinaryClause since the last ClearNewlyAdded() call.</span></div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a5b8bd742e2d44b9c3dbd7abd9f2546e9"> 404</a></span> <span class="keyword">const</span> std::vector&lt;BinaryClause&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a5b8bd742e2d44b9c3dbd7abd9f2546e9">newly_added</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> newly_added_; }</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a47e143bc6df345d913315f79e0c3d290"> 405</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a47e143bc6df345d913315f79e0c3d290">ClearNewlyAdded</a>() { newly_added_.clear(); }</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> absl::flat_hash_set&lt;std::pair&lt;int, int&gt;&gt; set_;</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> std::vector&lt;BinaryClause&gt; newly_added_;</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_clause_manager.html">BinaryClauseManager</a>);</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span>};</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> </div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span><span class="comment">// Special class to store and propagate clauses of size 2 (i.e. implication).</span></div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span><span class="comment">// Such clauses are never deleted. Together, they represent the 2-SAT part of</span></div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span><span class="comment">// the problem. Note that 2-SAT satisfiability is a polynomial problem, but</span></div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span><span class="comment">// W2SAT (weighted 2-SAT) is NP-complete.</span></div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span><span class="comment">//</span></div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span><span class="comment">// TODO(user): Most of the note below are done, but we currently only applies</span></div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span><span class="comment">// the reduction before the solve. We should consider doing more in-processing.</span></div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span><span class="comment">// The code could probably still be improved too.</span></div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span><span class="comment">//</span></div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span><span class="comment">// Note(user): All the variables in a strongly connected component are</span></div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span><span class="comment">// equivalent and can be thus merged as one. This is relatively cheap to compute</span></div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span><span class="comment">// from time to time (linear complexity). We will also get contradiction (a &lt;=&gt;</span></div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span><span class="comment">// not a) this way. This is done by DetectEquivalences().</span></div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span><span class="comment">//</span></div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span><span class="comment">// Note(user): An implication (a =&gt; not a) implies that a is false. I am not</span></div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span><span class="comment">// sure it is worth detecting that because if the solver assign a to true, it</span></div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span><span class="comment">// will learn that right away. I don&#39;t think we can do it faster.</span></div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span><span class="comment">//</span></div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span><span class="comment">// Note(user): The implication graph can be pruned. This is called the</span></div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span><span class="comment">// transitive reduction of a graph. For instance If a =&gt; {b,c} and b =&gt; {c},</span></div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span><span class="comment">// then there is no need to store a =&gt; {c}. The transitive reduction is unique</span></div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span><span class="comment">// on an acyclic graph. Computing it will allow for a faster propagation and</span></div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span><span class="comment">// memory reduction. It is however not cheap. Maybe simple lazy heuristics to</span></div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span><span class="comment">// remove redundant arcs are better. Note that all the learned clauses we add</span></div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span><span class="comment">// will never be redundant (but they could introduce cycles). This is done</span></div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span><span class="comment">// by ComputeTransitiveReduction().</span></div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span><span class="comment">//</span></div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span><span class="comment">// Note(user): This class natively support at most one constraints. This is</span></div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span><span class="comment">// a way to reduced significantly the memory and size of some 2-SAT instances.</span></div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span><span class="comment">// However, it is not fully exploited for pure SAT problems. See</span></div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span><span class="comment">// TransformIntoMaxCliques().</span></div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span><span class="comment">//</span></div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span><span class="comment">// Note(user): Add a preprocessor to remove duplicates in the implication lists.</span></div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span><span class="comment">// Note that all the learned clauses we add will never create duplicates.</span></div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span><span class="comment">//</span></div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span><span class="comment">// References for most of the above and more:</span></div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span><span class="comment">// - Brafman RI, &quot;A simplifier for propositional formulas with many binary</span></div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span><span class="comment">// clauses&quot;, IEEE Trans Syst Man Cybern B Cybern. 2004 Feb;34(1):52-9.</span></div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span><span class="comment">// http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.4911</span></div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span><span class="comment">// - Marijn J. H. Heule, Matti Järvisalo, Armin Biere, &quot;Efficient CNF</span></div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span><span class="comment">// Simplification Based on Binary Implication Graphs&quot;, Theory and Applications</span></div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span><span class="comment">// of Satisfiability Testing - SAT 2011, Lecture Notes in Computer Science</span></div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span><span class="comment">// Volume 6695, 2011, pp 201-215</span></div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span><span class="comment">// http://www.cs.helsinki.fi/u/mjarvisa/papers/heule-jarvisalo-biere.sat11.pdf</span></div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html"> 457</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">BinaryImplicationGraph</a> : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a> {</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a84754e7c05874d36ad86a9372d6ca728"> 459</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a84754e7c05874d36ad86a9372d6ca728">BinaryImplicationGraph</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> : <a class="code hl_class" href="classoperations__research_1_1sat_1_1_sat_propagator.html">SatPropagator</a>(<span class="stringliteral">&quot;BinaryImplicationGraph&quot;</span>),</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> stats_(<span class="stringliteral">&quot;BinaryImplicationGraph&quot;</span>),</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> time_limit_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>&gt;()),</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> random_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_model_random_generator.html">ModelRandomGenerator</a>&gt;()),</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> trail_(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>-&gt;GetOrCreate&lt;<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&gt;()) {</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#a120ef5f82f667fe8a6a38db137bfd2a7">RegisterPropagator</a>(<span class="keyword">this</span>);</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> }</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a2ae3332e0712d632910bb5c5e06a3d2d"> 468</a></span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a2ae3332e0712d632910bb5c5e06a3d2d">~BinaryImplicationGraph</a>()<span class="keyword"> override </span>{</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> <a class="code hl_define" href="stats_8h.html#a3c3e6b102f0d91c523099325c98e1887">IF_STATS_ENABLED</a>({</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> <a class="code hl_define" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code hl_variable" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) &lt;&lt; stats_.<a class="code hl_function" href="classoperations__research_1_1_stats_group.html#af9bc435481ae9e6e60d66a65d5394a7f">StatString</a>();</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <a class="code hl_define" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code hl_variable" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) &lt;&lt; <span class="stringliteral">&quot;num_redundant_implications &quot;</span> &lt;&lt; num_redundant_implications_;</div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> });</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> }</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> </div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> <span class="comment">// SatPropagator interface.</span></div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a1f591be5334541874ba049873235f0a9">Propagate</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail) <span class="keyword">final</span>;</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> absl::Span&lt;const Literal&gt; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5aa25e6e306c7158c11d2053170379a2">Reason</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail,</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> <span class="keywordtype">int</span> trail_index) <span class="keyword">const</span> <span class="keyword">final</span>;</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> </div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> <span class="comment">// Resizes the data structure.</span></div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af7fbbd00f0e631ce361b5ce6636b2017">Resize</a>(<span class="keywordtype">int</span> num_variables);</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> </div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <span class="comment">// Returns true if there is no constraints in this class.</span></div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac8d9ce1fd42b34561f508c578f61e4ef"> 484</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac8d9ce1fd42b34561f508c578f61e4ef">IsEmpty</a>() const final {</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="keywordflow">return</span> num_implications_ == 0 &amp;&amp; at_most_ones_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">empty</a>();</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> }</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> </div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="comment">// Adds the binary clause (a OR b), which is the same as (not a =&gt; b).</span></div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="comment">// Note that it is also equivalent to (not b =&gt; a).</span></div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a26fc07b3630b79be6914e6387b63a073">AddBinaryClause</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>);</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a94e79ff0c0a978e876dd1d44add9bc11"> 491</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a94e79ff0c0a978e876dd1d44add9bc11">AddImplication</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a26fc07b3630b79be6914e6387b63a073">AddBinaryClause</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.Negated(), <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>);</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> }</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> </div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> <span class="comment">// Same as AddBinaryClause() but enqueues a possible unit propagation. Note</span></div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> <span class="comment">// that if the binary clause propagates, it must do so at the last level, this</span></div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> <span class="comment">// is DCHECKed.</span></div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> <span class="comment">//</span></div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> <span class="comment">// Return false and do nothing if both a and b are currently false.</span></div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a4a2107f2a0daf6968b6c0dded5964497">AddBinaryClauseDuringSearch</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>);</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> </div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> <span class="comment">// An at most one constraint of size n is a compact way to encode n * (n - 1)</span></div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> <span class="comment">// implications. This must only be called at level zero.</span></div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <span class="comment">//</span></div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <span class="comment">// Returns false if this creates a conflict. Currently this can only happens</span></div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> <span class="comment">// if there is duplicate literal already assigned to true in this constraint.</span></div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> ABSL_MUST_USE_RESULT <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#aec717d6bc59b3b48bb21276a081c62c1">AddAtMostOne</a>(absl::Span&lt;const Literal&gt; at_most_one);</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> </div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> <span class="comment">// Uses the binary implication graph to minimize the given conflict by</span></div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> <span class="comment">// removing literals that implies others. The idea is that if a and b are two</span></div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <span class="comment">// literals from the given conflict and a =&gt; b (which is the same as not(b) =&gt;</span></div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> <span class="comment">// not(a)) then a is redundant and can be removed.</span></div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <span class="comment">//</span></div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> <span class="comment">// Note that removing as many literals as possible is too time consuming, so</span></div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <span class="comment">// we use different heuristics/algorithms to do this minimization.</span></div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> <span class="comment">// See the binary_minimization_algorithm SAT parameter and the .cc for more</span></div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <span class="comment">// details about the different algorithms.</span></div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a311c7dc55d8a10542d54dfeabca48450">MinimizeConflictWithReachability</a>(std::vector&lt;Literal&gt;* c);</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af30fd0373e896f83bb84d2295a310492">MinimizeConflictExperimental</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail,</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> std::vector&lt;Literal&gt;* c);</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a95cb5284ae22d2cbca6cd69a275d8a98">MinimizeConflictFirst</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail, std::vector&lt;Literal&gt;* c,</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset&lt;BooleanVariable&gt;</a>* marked);</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a6cbb84e00be8d376ad8bf7d0e333a46a">MinimizeConflictFirstWithTransitiveReduction</a>(</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>&amp; trail, std::vector&lt;Literal&gt;* c,</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset&lt;BooleanVariable&gt;</a>* marked, absl::BitGenRef random);</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> </div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> <span class="comment">// This must only be called at decision level 0 after all the possible</span></div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> <span class="comment">// propagations. It:</span></div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> <span class="comment">// - Removes the variable at true from the implications lists.</span></div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> <span class="comment">// - Frees the propagation list of the assigned literals.</span></div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abcad56047cef75a12528fe99794a6e1e">RemoveFixedVariables</a>();</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> </div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="comment">// Returns false if the model is unsat, otherwise detects equivalent variable</span></div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> <span class="comment">// (with respect to the implications only) and reorganize the propagation</span></div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> <span class="comment">// lists accordingly.</span></div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <span class="comment">//</span></div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> <span class="comment">// TODO(user): Completely get rid of such literal instead? it might not be</span></div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> <span class="comment">// reasonable code-wise to remap our literals in all of our constraints</span></div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> <span class="comment">// though.</span></div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#aac261e221628d6a51be7243563659929">DetectEquivalences</a>(<span class="keywordtype">bool</span> log_info = <span class="keyword">false</span>);</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> </div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> <span class="comment">// Returns true if DetectEquivalences() has been called and no new binary</span></div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> <span class="comment">// clauses have been added since then. When this is true then there is no</span></div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> <span class="comment">// cycle in the binary implication graph (modulo the redundant literals that</span></div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> <span class="comment">// form a cycle with their representative).</span></div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad7144ed926660fe38c0cfbeedbaa8dfc"> 546</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad7144ed926660fe38c0cfbeedbaa8dfc">IsDag</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> is_dag_; }</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> </div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> <span class="comment">// One must call DetectEquivalences() first, this is CHECKed.</span></div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <span class="comment">// Returns a list so that if x =&gt; y, then x is after y.</span></div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a3cc491001a647986d26a292b099d015d"> 550</a></span> <span class="keyword">const</span> std::vector&lt;LiteralIndex&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a3cc491001a647986d26a292b099d015d">ReverseTopologicalOrder</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(is_dag_);</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> <span class="keywordflow">return</span> reverse_topological_order_;</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> }</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> </div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> <span class="comment">// Returns the list of literal &quot;directly&quot; implied by l. Beware that this can</span></div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> <span class="comment">// easily change behind your back if you modify the solver state.</span></div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5acd085a94bf44e03e7826f0dfd0b5a4"> 557</a></span> <span class="keyword">const</span> absl::InlinedVector&lt;Literal, 6&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5acd085a94bf44e03e7826f0dfd0b5a4">Implications</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> <span class="keywordflow">return</span> implications_[l.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()];</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> }</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> </div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> <span class="comment">// Returns the representative of the equivalence class of l (or l itself if it</span></div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> <span class="comment">// is on its own). Note that DetectEquivalences() should have been called to</span></div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> <span class="comment">// get any non-trival results.</span></div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a6fac58ca16fd746d7488a0a97f6965bd"> 564</a></span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a6fac58ca16fd746d7488a0a97f6965bd">RepresentativeOf</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> <span class="keywordflow">if</span> (l.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>() &gt;= representative_of_.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()) <span class="keywordflow">return</span> l;</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> <span class="keywordflow">if</span> (representative_of_[l.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()] == <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">kNoLiteralIndex</a>) <span class="keywordflow">return</span> l;</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(representative_of_[l.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()]);</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> }</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> </div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> <span class="comment">// Prunes the implication graph by calling first DetectEquivalences() to</span></div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> <span class="comment">// remove cycle and then by computing the transitive reduction of the</span></div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> <span class="comment">// remaining DAG.</span></div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> <span class="comment">//</span></div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> <span class="comment">// Note that this can be slow (num_literals graph traversals), so we abort</span></div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> <span class="comment">// early if we start doing too much work.</span></div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> <span class="comment">//</span></div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> <span class="comment">// Returns false if the model is detected to be UNSAT (this needs to call</span></div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> <span class="comment">// DetectEquivalences() if not already done).</span></div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a29218ade45d7df87f01459565526cfe2">ComputeTransitiveReduction</a>(<span class="keywordtype">bool</span> log_info = <span class="keyword">false</span>);</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> </div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> <span class="comment">// Another way of representing an implication graph is a list of maximal &quot;at</span></div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="comment">// most one&quot; constraints, each forming a max-clique in the incompatibility</span></div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> <span class="comment">// graph. This representation is useful for having a good linear relaxation.</span></div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="comment">//</span></div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <span class="comment">// This function will transform each of the given constraint into a maximal</span></div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> <span class="comment">// one in the underlying implication graph. Constraints that are redundant</span></div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> <span class="comment">// after other have been expanded (i.e. included into) will be cleared.</span></div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> <span class="comment">// Note that the order of constraints will be conserved.</span></div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> <span class="comment">//</span></div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> <span class="comment">// Returns false if the model is detected to be UNSAT (this needs to call</span></div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> <span class="comment">// DetectEquivalences() if not already done).</span></div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a76262c466b170affaf50e7c11bf16a9b">TransformIntoMaxCliques</a>(std::vector&lt;std::vector&lt;Literal&gt;&gt;* at_most_ones,</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> int64_t max_num_explored_nodes = 1e8);</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> </div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> <span class="comment">// LP clique cut heuristic. Returns a set of &quot;at most one&quot; constraints on the</span></div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> <span class="comment">// given literals or their negation that are violated by the current LP</span></div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> <span class="comment">// solution. Note that this assumes that</span></div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> <span class="comment">// lp_value(lit) = 1 - lp_value(lit.Negated()).</span></div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> <span class="comment">//</span></div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> <span class="comment">// The literal and lp_values vector are in one to one correspondence. We will</span></div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="comment">// only generate clique with these literals or their negation.</span></div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> <span class="comment">//</span></div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> <span class="comment">// TODO(user): Refine the heuristic and unit test!</span></div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="keyword">const</span> std::vector&lt;std::vector&lt;Literal&gt;&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a547f00a3da71d429424aa6dc92c487bc">GenerateAtMostOnesWithLargeWeight</a>(</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; literals,</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> <span class="keyword">const</span> std::vector&lt;double&gt;&amp; lp_values);</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> </div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> <span class="comment">// Number of literal propagated by this class (including conflicts).</span></div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abaadd9bf3136af09f2d2ae695439c4fa"> 609</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abaadd9bf3136af09f2d2ae695439c4fa">num_propagations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_propagations_; }</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> </div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> <span class="comment">// Number of literals inspected by this class during propagation.</span></div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a869f65709fd34e4f4ed967bab630f707"> 612</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a869f65709fd34e4f4ed967bab630f707">num_inspections</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_inspections_; }</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> </div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> <span class="comment">// MinimizeClause() stats.</span></div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac43fb21cb946317348b377dbdd1589f2"> 615</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac43fb21cb946317348b377dbdd1589f2">num_minimization</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_minimization_; }</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ab65ae480cf60d2f92e32e6420ba55cdb"> 616</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ab65ae480cf60d2f92e32e6420ba55cdb">num_literals_removed</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_literals_removed_; }</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> <span class="comment">// Returns true if this literal is fixed or is equivalent to another literal.</span></div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <span class="comment">// This means that it can just be ignored in most situation.</span></div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <span class="comment">//</span></div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> <span class="comment">// Note that the set (and thus number) of redundant literal can only grow over</span></div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> <span class="comment">// time. This is because we always use the lowest index as representative of</span></div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="comment">// an equivalent class, so a redundant literal will stay that way.</span></div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a92844929b07caef45924b8c5e3a5a05c"> 624</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a92844929b07caef45924b8c5e3a5a05c">IsRedundant</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> is_redundant_[l.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()]; }</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a76e3f946eaf9d02fbf3cf8193466e4c7"> 625</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a76e3f946eaf9d02fbf3cf8193466e4c7">num_redundant_literals</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(num_redundant_literals_ % 2, 0);</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> <span class="keywordflow">return</span> num_redundant_literals_;</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> }</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> </div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> <span class="comment">// Number of implications removed by transitive reduction.</span></div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a8b070b41da109f3928f19f48d043958d"> 631</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a8b070b41da109f3928f19f48d043958d">num_redundant_implications</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> <span class="keywordflow">return</span> num_redundant_implications_;</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> }</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> <span class="comment">// Returns the number of current implications. Note that a =&gt; b and not(b) =&gt;</span></div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> <span class="comment">// not(a) are counted separately since they appear separately in our</span></div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> <span class="comment">// propagation lists. The number of size 2 clauses that represent the same</span></div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> <span class="comment">// thing is half this number.</span></div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ae9a2f518d6edd64467abcef2c70934ff"> 639</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ae9a2f518d6edd64467abcef2c70934ff">num_implications</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_implications_; }</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af18b28ba180d18c4e4f524d6fde71f28"> 640</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af18b28ba180d18c4e4f524d6fde71f28">literal_size</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> implications_.size(); }</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> </div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> <span class="comment">// Extract all the binary clauses managed by this class. The Output type must</span></div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> <span class="comment">// support an AddBinaryClause(Literal a, Literal b) function.</span></div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="comment">//</span></div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <span class="comment">// Important: This currently does NOT include at most one constraints.</span></div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> <span class="comment">//</span></div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> <span class="comment">// TODO(user): When extracting to cp_model.proto we could be more efficient</span></div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> <span class="comment">// by extracting bool_and constraint with many lhs terms.</span></div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Output&gt;</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a558f9dd435d1f46d7408d60d0e9969f1"> 650</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a558f9dd435d1f46d7408d60d0e9969f1">ExtractAllBinaryClauses</a>(Output* out)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> <span class="comment">// TODO(user): Ideally we should just never have duplicate clauses in this</span></div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> <span class="comment">// class. But it seems we do in some corner cases, so lets not output them</span></div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> <span class="comment">// twice.</span></div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> absl::flat_hash_set&lt;std::pair&lt;LiteralIndex, LiteralIndex&gt;&gt;</div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> duplicate_detection;</div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> <span class="keywordflow">for</span> (LiteralIndex i(0); i &lt; implications_.size(); ++i) {</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> = <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>(i).<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>();</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a> : implications_[i]) {</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> <span class="comment">// Note(user): We almost always have both a =&gt; b and not(b) =&gt; not(a) in</span></div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> <span class="comment">// our implications_ database. Except if ComputeTransitiveReduction()</span></div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <span class="comment">// was aborted early, but in this case, if only one is present, the</span></div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> <span class="comment">// other could be removed, so we shouldn&#39;t need to output it.</span></div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> &lt; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a> &amp;&amp;</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> duplicate_detection.insert({a.Index(), b.Index()}).second) {</div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> out-&gt;AddBinaryClause(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>);</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> }</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> }</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> }</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> }</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> </div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a75f1d17f36330a1c8a96e43fe8805598"> 671</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a75f1d17f36330a1c8a96e43fe8805598">SetDratProofHandler</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">DratProofHandler</a>* drat_proof_handler) {</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> drat_proof_handler_ = drat_proof_handler;</div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> }</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> </div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> <span class="comment">// Changes the reason of the variable at trail index to a binary reason.</span></div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> <span class="comment">// Note that the implication &quot;new_reason =&gt; trail_[trail_index]&quot; should be</span></div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> <span class="comment">// part of the implication graph.</span></div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a3f5b39642fef6e2bf3d7b3e2a0dd2c87"> 678</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a3f5b39642fef6e2bf3d7b3e2a0dd2c87">ChangeReason</a>(<span class="keywordtype">int</span> trail_index, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> new_reason) {</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#a4793952607a98dfddfbcc17abfabbb4b">Assignment</a>().<a class="code hl_function" href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">LiteralIsTrue</a>(new_reason));</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> reasons_[trail_index] = new_reason.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>();</div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> trail_-&gt;<a class="code hl_function" href="classoperations__research_1_1sat_1_1_trail.html#a28bc96741547301bfc21fd9648b9ee13">ChangeReason</a>(trail_index, <a class="code hl_variable" href="classoperations__research_1_1sat_1_1_sat_propagator.html#a0af2aa6e387b8037179350b735fe127e">propagator_id_</a>);</div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> }</div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span> </div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> <span class="comment">// The literals that are &quot;directly&quot; implied when literal is set to true. This</span></div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> <span class="comment">// is not a full &quot;reachability&quot;. It includes at most ones propagation. The set</span></div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> <span class="comment">// of all direct implications is enough to describe the implications graph</span></div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> <span class="comment">// completely.</span></div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> <span class="comment">//</span></div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="comment">// When doing blocked clause elimination of bounded variable elimination, one</span></div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="comment">// only need to consider this list and not the full reachability.</span></div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> <span class="keyword">const</span> std::vector&lt;Literal&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a7eb6126b57ff4ab8246fe54f4e5550f4">DirectImplications</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>);</div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> </div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> <span class="comment">// A proxy for DirectImplications().size(), However we currently do not</span></div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> <span class="comment">// maintain it perfectly. It is exact each time DirectImplications() is</span></div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> <span class="comment">// called, and we update it in some situation but we don&#39;t deal with fixed</span></div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> <span class="comment">// variables, at_most ones and duplicates implications for now.</span></div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#afc581e906dd97aacce13dd14d6a12cf3"> 697</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#afc581e906dd97aacce13dd14d6a12cf3">DirectImplicationsEstimatedSize</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> <a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> <span class="keywordflow">return</span> estimated_sizes_[<a class="code hl_variable" href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a>.Index()];</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> }</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> </div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> <span class="comment">// Variable elimination by replacing everything of the form a =&gt; var =&gt; b by a</span></div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> <span class="comment">// =&gt; b. We ignore any a =&gt; a so the number of new implications is not always</span></div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> <span class="comment">// just the product of the two direct implication list of var and not(var).</span></div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span> <span class="comment">// However, if a =&gt; var =&gt; a, then a and var are equivalent, so this case will</span></div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> <span class="comment">// be removed if one run DetectEquivalences() before this. Similarly, if a =&gt;</span></div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"> 706</span> <span class="comment">// var =&gt; not(a) then a must be false and this is detected and dealt with by</span></div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <span class="comment">// FindFailedLiteralAroundVar().</span></div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abbf0624c5d966c4dcf29eece343e0592">FindFailedLiteralAroundVar</a>(BooleanVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, <span class="keywordtype">bool</span>* is_unsat);</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a1858011d343c77f650753e14778c5232">NumImplicationOnVariableRemoval</a>(BooleanVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5fb6c491c2d0388296e97b7a03fce24f">RemoveBooleanVariable</a>(</div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> BooleanVariable <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, std::deque&lt;std::vector&lt;Literal&gt;&gt;* postsolve_clauses);</div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad2d9e6c6ea7ab13e0d0002a035a6d308"> 712</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad2d9e6c6ea7ab13e0d0002a035a6d308">IsRemoved</a>(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> is_removed_[l.<a class="code hl_function" href="classoperations__research_1_1sat_1_1_literal.html#a4a11c7c4d7706c09de5e18707c3b5c62">Index</a>()]; }</div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> </div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> <span class="comment">// TODO(user): consider at most ones.</span></div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ab64429b401679aee0bbd618449a9152a">CleanupAllRemovedVariables</a>();</div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> </div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> <span class="comment">// ExpandAtMostOneWithWeight() will increase this, so a client can put a limit</span></div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> <span class="comment">// on this possibly expansive operation.</span></div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a4e5b1ce7f2938aea23cf7aaa916bfcd0"> 719</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a4e5b1ce7f2938aea23cf7aaa916bfcd0">ResetWorkDone</a>() { work_done_in_mark_descendants_ = 0; }</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac0e93eabba80eccf6cc0a38cd09923b6"> 720</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac0e93eabba80eccf6cc0a38cd09923b6">WorkDone</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> work_done_in_mark_descendants_; }</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> </div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> <span class="comment">// Same as ExpandAtMostOne() but try to maximize the weight in the clique.</span></div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> use_weight = true&gt;</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> std::vector&lt;Literal&gt; <a class="code hl_function" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad51633e5f8ff600c5ac6509bf9a35655">ExpandAtMostOneWithWeight</a>(</div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> <span class="keyword">const</span> absl::Span&lt;const Literal&gt; at_most_one,</div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, bool&gt;</a>&amp; can_be_included,</div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> <span class="keyword">const</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, double&gt;</a>&amp; expanded_lp_values);</div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> </div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> <span class="comment">// Simple wrapper to not forget to output newly fixed variable to the DRAT</span></div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> <span class="comment">// proof if needed. This will propagate rigth away the implications.</span></div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> <span class="keywordtype">bool</span> FixLiteral(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> true_literal);</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> </div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> <span class="comment">// Propagates all the direct implications of the given literal becoming true.</span></div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> <span class="comment">// Returns false if a conflict was encountered, in which case</span></div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> <span class="comment">// trail-&gt;SetFailingClause() will be called with the correct size 2 clause.</span></div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> <span class="comment">// This calls trail-&gt;Enqueue() on the newly assigned literals.</span></div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> <span class="keywordtype">bool</span> PropagateOnTrue(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> true_literal, <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail);</div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> </div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> <span class="comment">// Remove any literal whose negation is marked (except the first one).</span></div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> <span class="keywordtype">void</span> RemoveRedundantLiterals(std::vector&lt;Literal&gt;* conflict);</div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> </div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> <span class="comment">// Fill is_marked_ with all the descendant of root.</span></div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <span class="comment">// Note that this also use dfs_stack_.</span></div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> <span class="keywordtype">void</span> MarkDescendants(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> root);</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> </div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span> <span class="comment">// Expands greedily the given at most one until we get a maximum clique in</span></div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> <span class="comment">// the underlying incompatibility graph. Note that there is no guarantee that</span></div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span> <span class="comment">// if this is called with any sub-clique of the result we will get the same</span></div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> <span class="comment">// maximal clique.</span></div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> std::vector&lt;Literal&gt; ExpandAtMostOne(</div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> <span class="keyword">const</span> absl::Span&lt;const Literal&gt; at_most_one,</div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> int64_t max_num_explored_nodes);</div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> </div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> <span class="comment">// Process all at most one constraints starting at or after base_index in</span></div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> <span class="comment">// at_most_one_buffer_. This replace literal by their representative, remove</span></div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> <span class="comment">// fixed literals and deal with duplicates. Return false iff the model is</span></div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> <span class="comment">// UNSAT.</span></div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> <span class="keywordtype">bool</span> CleanUpAndAddAtMostOnes(<span class="keyword">const</span> <span class="keywordtype">int</span> base_index);</div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> </div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> <span class="keyword">mutable</span> <a class="code hl_class" href="classoperations__research_1_1_stats_group.html">StatsGroup</a> stats_;</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> <a class="code hl_class" href="classoperations__research_1_1_time_limit.html">TimeLimit</a>* time_limit_;</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_model_random_generator.html">ModelRandomGenerator</a>* random_;</div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>* trail_;</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> <a class="code hl_class" href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">DratProofHandler</a>* drat_proof_handler_ = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> </div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> <span class="comment">// Binary reasons by trail_index. We need a deque because we kept pointers to</span></div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> <span class="comment">// elements of this array and this can dynamically change size.</span></div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> std::deque&lt;Literal&gt; reasons_;</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> </div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> <span class="comment">// This is indexed by the Index() of a literal. Each list stores the</span></div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> <span class="comment">// literals that are implied if the index literal becomes true.</span></div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> <span class="comment">//</span></div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> <span class="comment">// Using InlinedVector helps quite a bit because on many problems, a literal</span></div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> <span class="comment">// only implies a few others. Note that on a 64 bits computer we get exactly</span></div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> <span class="comment">// 6 inlined int32_t elements without extra space, and the size of the inlined</span></div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> <span class="comment">// vector is 4 times 64 bits.</span></div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> <span class="comment">//</span></div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> <span class="comment">// TODO(user): We could be even more efficient since a size of int32_t is</span></div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> <span class="comment">// enough for us and we could store in common the inlined/not-inlined size.</span></div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, absl::InlinedVector&lt;Literal, 6&gt;</a>&gt;</div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> implications_;</div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> int64_t num_implications_ = 0;</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> </div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> <span class="comment">// Internal representation of at_most_one constraints. Each entry point to the</span></div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> <span class="comment">// start of a constraint in the buffer. Constraints are terminated by</span></div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> <span class="comment">// kNoLiteral. When LiteralIndex is true, then all entry in the at most one</span></div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> <span class="comment">// constraint must be false except the one referring to LiteralIndex.</span></div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> <span class="comment">//</span></div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> <span class="comment">// TODO(user): We could be more cache efficient by combining this with</span></div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> <span class="comment">// implications_ in some way. Do some propagation speed benchmark.</span></div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, absl::InlinedVector&lt;int32_t, 6&gt;</a>&gt;</div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> at_most_ones_;</div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> std::vector&lt;Literal&gt; at_most_one_buffer_;</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> </div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> <span class="comment">// Used by GenerateAtMostOnesWithLargeWeight().</span></div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> std::vector&lt;std::vector&lt;Literal&gt;&gt; tmp_cuts_;</div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> </div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> <span class="comment">// Some stats.</span></div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> int64_t num_propagations_ = 0;</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> int64_t num_inspections_ = 0;</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span> int64_t num_minimization_ = 0;</div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> int64_t num_literals_removed_ = 0;</div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span> int64_t num_redundant_implications_ = 0;</div>
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span> int64_t num_redundant_literals_ = 0;</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span> </div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> <span class="comment">// Bitset used by MinimizeClause().</span></div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> <span class="comment">// TODO(user): use the same one as the one used in the classic minimization</span></div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> <span class="comment">// because they are already initialized. Moreover they contains more</span></div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> <span class="comment">// information.</span></div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset&lt;LiteralIndex&gt;</a> is_marked_;</div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> <a class="code hl_class" href="classoperations__research_1_1_sparse_bitset.html">SparseBitset&lt;LiteralIndex&gt;</a> is_simplified_;</div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> </div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> <span class="comment">// Temporary stack used by MinimizeClauseWithReachability().</span></div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> std::vector&lt;Literal&gt; dfs_stack_;</div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> </div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> <span class="comment">// Used to limit the work done by ComputeTransitiveReduction() and</span></div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span> <span class="comment">// TransformIntoMaxCliques().</span></div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> int64_t work_done_in_mark_descendants_ = 0;</div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"> 820</span> </div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> <span class="comment">// Filled by DetectEquivalences().</span></div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span> <span class="keywordtype">bool</span> is_dag_ = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span> std::vector&lt;LiteralIndex&gt; reverse_topological_order_;</div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, bool&gt;</a> is_redundant_;</div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, LiteralIndex&gt;</a> representative_of_;</div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> </div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span> <span class="comment">// For in-processing and removing variables.</span></div>
<div class="line"><a id="l00828" name="l00828"></a><span class="lineno"> 828</span> std::vector&lt;Literal&gt; direct_implications_;</div>
<div class="line"><a id="l00829" name="l00829"></a><span class="lineno"> 829</span> std::vector&lt;Literal&gt; direct_implications_of_negated_literal_;</div>
<div class="line"><a id="l00830" name="l00830"></a><span class="lineno"> 830</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, bool&gt;</a> in_direct_implications_;</div>
<div class="line"><a id="l00831" name="l00831"></a><span class="lineno"> 831</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, bool&gt;</a> is_removed_;</div>
<div class="line"><a id="l00832" name="l00832"></a><span class="lineno"> 832</span> <a class="code hl_class" href="classabsl_1_1_strong_vector.html">absl::StrongVector&lt;LiteralIndex, int&gt;</a> estimated_sizes_;</div>
<div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span> </div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"> 834</span> <span class="comment">// For RemoveFixedVariables().</span></div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span> <span class="keywordtype">int</span> num_processed_fixed_variables_ = 0;</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span> </div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">BinaryImplicationGraph</a>);</div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span>};</div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span> </div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span>} <span class="comment">// namespace sat</span></div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"> 842</span> </div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_CLAUSE_H_</span></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00495">base/logging.h:495</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
<div class="ttc" id="abase_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="abitset_8h_html"><div class="ttname"><a href="bitset_8h.html">bitset.h</a></div></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>
<div class="ttc" id="aclassabsl_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="aclassabsl_1_1_strong_vector_html_a644718bb2fb240de962dc3c9a1fdf0dc"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">absl::StrongVector::empty</a></div><div class="ttdeci">bool empty() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00156">strong_vector.h:156</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_sparse_bitset_html"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html">operations_research::SparseBitset&lt; LiteralIndex &gt;</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_sparse_bitset_html_a2fa637a68bc1b88e3d5da4f97932411a"><div class="ttname"><a href="classoperations__research_1_1_sparse_bitset.html#a2fa637a68bc1b88e3d5da4f97932411a">operations_research::SparseBitset::size</a></div><div class="ttdeci">IntegerType size() const</div><div class="ttdef"><b>Definition:</b> <a href="bitset_8h_source.html#l00775">bitset.h:775</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_stats_group_html"><div class="ttname"><a href="classoperations__research_1_1_stats_group.html">operations_research::StatsGroup</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00131">stats.h:131</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_stats_group_html_af9bc435481ae9e6e60d66a65d5394a7f"><div class="ttname"><a href="classoperations__research_1_1_stats_group.html#af9bc435481ae9e6e60d66a65d5394a7f">operations_research::StatsGroup::StatString</a></div><div class="ttdeci">std::string StatString() const</div><div class="ttdef"><b>Definition:</b> <a href="stats_8cc_source.html#l00071">stats.cc:71</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_time_limit_html"><div class="ttname"><a href="classoperations__research_1_1_time_limit.html">operations_research::TimeLimit</a></div><div class="ttdoc">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same threa...</div><div class="ttdef"><b>Definition:</b> <a href="time__limit_8h_source.html#l00106">time_limit.h:106</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_clause_manager_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_clause_manager.html">operations_research::sat::BinaryClauseManager</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00385">clause.h:385</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_clause_manager_html_a235d38393e2379eb6a016446341d2102"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a235d38393e2379eb6a016446341d2102">operations_research::sat::BinaryClauseManager::NumClauses</a></div><div class="ttdeci">int NumClauses() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00388">clause.h:388</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_clause_manager_html_a4690b2e5ad68f70322cca80950f5bf7d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a4690b2e5ad68f70322cca80950f5bf7d">operations_research::sat::BinaryClauseManager::Add</a></div><div class="ttdeci">bool Add(BinaryClause c)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00392">clause.h:392</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_clause_manager_html_a47e143bc6df345d913315f79e0c3d290"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a47e143bc6df345d913315f79e0c3d290">operations_research::sat::BinaryClauseManager::ClearNewlyAdded</a></div><div class="ttdeci">void ClearNewlyAdded()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00405">clause.h:405</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_clause_manager_html_a5b8bd742e2d44b9c3dbd7abd9f2546e9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#a5b8bd742e2d44b9c3dbd7abd9f2546e9">operations_research::sat::BinaryClauseManager::newly_added</a></div><div class="ttdeci">const std::vector&lt; BinaryClause &gt; &amp; newly_added() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00404">clause.h:404</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_clause_manager_html_ab8021c937cf1eaa07cdfa85ed1bb5e43"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_clause_manager.html#ab8021c937cf1eaa07cdfa85ed1bb5e43">operations_research::sat::BinaryClauseManager::BinaryClauseManager</a></div><div class="ttdeci">BinaryClauseManager()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00387">clause.h:387</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html">operations_research::sat::BinaryImplicationGraph</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00457">clause.h:457</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a1858011d343c77f650753e14778c5232"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a1858011d343c77f650753e14778c5232">operations_research::sat::BinaryImplicationGraph::NumImplicationOnVariableRemoval</a></div><div class="ttdeci">int64_t NumImplicationOnVariableRemoval(BooleanVariable var)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01954">clause.cc:1954</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a1f591be5334541874ba049873235f0a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a1f591be5334541874ba049873235f0a9">operations_research::sat::BinaryImplicationGraph::Propagate</a></div><div class="ttdeci">bool Propagate(Trail *trail) final</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00780">clause.cc:780</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a26fc07b3630b79be6914e6387b63a073"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a26fc07b3630b79be6914e6387b63a073">operations_research::sat::BinaryImplicationGraph::AddBinaryClause</a></div><div class="ttdeci">void AddBinaryClause(Literal a, Literal b)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00509">clause.cc:509</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a29218ade45d7df87f01459565526cfe2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a29218ade45d7df87f01459565526cfe2">operations_research::sat::BinaryImplicationGraph::ComputeTransitiveReduction</a></div><div class="ttdeci">bool ComputeTransitiveReduction(bool log_info=false)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01363">clause.cc:1363</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a2ae3332e0712d632910bb5c5e06a3d2d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a2ae3332e0712d632910bb5c5e06a3d2d">operations_research::sat::BinaryImplicationGraph::~BinaryImplicationGraph</a></div><div class="ttdeci">~BinaryImplicationGraph() override</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00468">clause.h:468</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a311c7dc55d8a10542d54dfeabca48450"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a311c7dc55d8a10542d54dfeabca48450">operations_research::sat::BinaryImplicationGraph::MinimizeConflictWithReachability</a></div><div class="ttdeci">void MinimizeConflictWithReachability(std::vector&lt; Literal &gt; *c)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00804">clause.cc:804</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a3cc491001a647986d26a292b099d015d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a3cc491001a647986d26a292b099d015d">operations_research::sat::BinaryImplicationGraph::ReverseTopologicalOrder</a></div><div class="ttdeci">const std::vector&lt; LiteralIndex &gt; &amp; ReverseTopologicalOrder() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00550">clause.h:550</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a3f5b39642fef6e2bf3d7b3e2a0dd2c87"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a3f5b39642fef6e2bf3d7b3e2a0dd2c87">operations_research::sat::BinaryImplicationGraph::ChangeReason</a></div><div class="ttdeci">void ChangeReason(int trail_index, Literal new_reason)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00678">clause.h:678</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a4a2107f2a0daf6968b6c0dded5964497"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a4a2107f2a0daf6968b6c0dded5964497">operations_research::sat::BinaryImplicationGraph::AddBinaryClauseDuringSearch</a></div><div class="ttdeci">bool AddBinaryClauseDuringSearch(Literal a, Literal b)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00526">clause.cc:526</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a4e5b1ce7f2938aea23cf7aaa916bfcd0"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a4e5b1ce7f2938aea23cf7aaa916bfcd0">operations_research::sat::BinaryImplicationGraph::ResetWorkDone</a></div><div class="ttdeci">void ResetWorkDone()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00719">clause.h:719</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a547f00a3da71d429424aa6dc92c487bc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a547f00a3da71d429424aa6dc92c487bc">operations_research::sat::BinaryImplicationGraph::GenerateAtMostOnesWithLargeWeight</a></div><div class="ttdeci">const std::vector&lt; std::vector&lt; Literal &gt; &gt; &amp; GenerateAtMostOnesWithLargeWeight(const std::vector&lt; Literal &gt; &amp;literals, const std::vector&lt; double &gt; &amp;lp_values)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01729">clause.cc:1729</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a558f9dd435d1f46d7408d60d0e9969f1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a558f9dd435d1f46d7408d60d0e9969f1">operations_research::sat::BinaryImplicationGraph::ExtractAllBinaryClauses</a></div><div class="ttdeci">void ExtractAllBinaryClauses(Output *out) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00650">clause.h:650</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a5aa25e6e306c7158c11d2053170379a2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5aa25e6e306c7158c11d2053170379a2">operations_research::sat::BinaryImplicationGraph::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="clause_8cc_source.html#l00792">clause.cc:792</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a5acd085a94bf44e03e7826f0dfd0b5a4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5acd085a94bf44e03e7826f0dfd0b5a4">operations_research::sat::BinaryImplicationGraph::Implications</a></div><div class="ttdeci">const absl::InlinedVector&lt; Literal, 6 &gt; &amp; Implications(Literal l) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00557">clause.h:557</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a5fb6c491c2d0388296e97b7a03fce24f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a5fb6c491c2d0388296e97b7a03fce24f">operations_research::sat::BinaryImplicationGraph::RemoveBooleanVariable</a></div><div class="ttdeci">void RemoveBooleanVariable(BooleanVariable var, std::deque&lt; std::vector&lt; Literal &gt; &gt; *postsolve_clauses)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01974">clause.cc:1974</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a6cbb84e00be8d376ad8bf7d0e333a46a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a6cbb84e00be8d376ad8bf7d0e333a46a">operations_research::sat::BinaryImplicationGraph::MinimizeConflictFirstWithTransitiveReduction</a></div><div class="ttdeci">void MinimizeConflictFirstWithTransitiveReduction(const Trail &amp;trail, std::vector&lt; Literal &gt; *c, SparseBitset&lt; BooleanVariable &gt; *marked, absl::BitGenRef random)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00899">clause.cc:899</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a6fac58ca16fd746d7488a0a97f6965bd"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a6fac58ca16fd746d7488a0a97f6965bd">operations_research::sat::BinaryImplicationGraph::RepresentativeOf</a></div><div class="ttdeci">Literal RepresentativeOf(Literal l) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00564">clause.h:564</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a75f1d17f36330a1c8a96e43fe8805598"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a75f1d17f36330a1c8a96e43fe8805598">operations_research::sat::BinaryImplicationGraph::SetDratProofHandler</a></div><div class="ttdeci">void SetDratProofHandler(DratProofHandler *drat_proof_handler)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00671">clause.h:671</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a76262c466b170affaf50e7c11bf16a9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a76262c466b170affaf50e7c11bf16a9b">operations_research::sat::BinaryImplicationGraph::TransformIntoMaxCliques</a></div><div class="ttdeci">bool TransformIntoMaxCliques(std::vector&lt; std::vector&lt; Literal &gt; &gt; *at_most_ones, int64_t max_num_explored_nodes=1e8)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01552">clause.cc:1552</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a76e3f946eaf9d02fbf3cf8193466e4c7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a76e3f946eaf9d02fbf3cf8193466e4c7">operations_research::sat::BinaryImplicationGraph::num_redundant_literals</a></div><div class="ttdeci">int64_t num_redundant_literals() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00625">clause.h:625</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a7eb6126b57ff4ab8246fe54f4e5550f4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a7eb6126b57ff4ab8246fe54f4e5550f4">operations_research::sat::BinaryImplicationGraph::DirectImplications</a></div><div class="ttdeci">const std::vector&lt; Literal &gt; &amp; DirectImplications(Literal literal)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01886">clause.cc:1886</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a84754e7c05874d36ad86a9372d6ca728"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a84754e7c05874d36ad86a9372d6ca728">operations_research::sat::BinaryImplicationGraph::BinaryImplicationGraph</a></div><div class="ttdeci">BinaryImplicationGraph(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00459">clause.h:459</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a869f65709fd34e4f4ed967bab630f707"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a869f65709fd34e4f4ed967bab630f707">operations_research::sat::BinaryImplicationGraph::num_inspections</a></div><div class="ttdeci">int64_t num_inspections() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00612">clause.h:612</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a8b070b41da109f3928f19f48d043958d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a8b070b41da109f3928f19f48d043958d">operations_research::sat::BinaryImplicationGraph::num_redundant_implications</a></div><div class="ttdeci">int64_t num_redundant_implications() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00631">clause.h:631</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a92844929b07caef45924b8c5e3a5a05c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a92844929b07caef45924b8c5e3a5a05c">operations_research::sat::BinaryImplicationGraph::IsRedundant</a></div><div class="ttdeci">bool IsRedundant(Literal l) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00624">clause.h:624</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a94e79ff0c0a978e876dd1d44add9bc11"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a94e79ff0c0a978e876dd1d44add9bc11">operations_research::sat::BinaryImplicationGraph::AddImplication</a></div><div class="ttdeci">void AddImplication(Literal a, Literal b)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00491">clause.h:491</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_a95cb5284ae22d2cbca6cd69a275d8a98"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#a95cb5284ae22d2cbca6cd69a275d8a98">operations_research::sat::BinaryImplicationGraph::MinimizeConflictFirst</a></div><div class="ttdeci">void MinimizeConflictFirst(const Trail &amp;trail, std::vector&lt; Literal &gt; *c, SparseBitset&lt; BooleanVariable &gt; *marked)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00881">clause.cc:881</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_aac261e221628d6a51be7243563659929"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#aac261e221628d6a51be7243563659929">operations_research::sat::BinaryImplicationGraph::DetectEquivalences</a></div><div class="ttdeci">bool DetectEquivalences(bool log_info=false)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01176">clause.cc:1176</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ab64429b401679aee0bbd618449a9152a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ab64429b401679aee0bbd618449a9152a">operations_research::sat::BinaryImplicationGraph::CleanupAllRemovedVariables</a></div><div class="ttdeci">void CleanupAllRemovedVariables()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l02017">clause.cc:2017</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ab65ae480cf60d2f92e32e6420ba55cdb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ab65ae480cf60d2f92e32e6420ba55cdb">operations_research::sat::BinaryImplicationGraph::num_literals_removed</a></div><div class="ttdeci">int64_t num_literals_removed() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00616">clause.h:616</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_abaadd9bf3136af09f2d2ae695439c4fa"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abaadd9bf3136af09f2d2ae695439c4fa">operations_research::sat::BinaryImplicationGraph::num_propagations</a></div><div class="ttdeci">int64_t num_propagations() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00609">clause.h:609</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_abbf0624c5d966c4dcf29eece343e0592"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abbf0624c5d966c4dcf29eece343e0592">operations_research::sat::BinaryImplicationGraph::FindFailedLiteralAroundVar</a></div><div class="ttdeci">bool FindFailedLiteralAroundVar(BooleanVariable var, bool *is_unsat)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01929">clause.cc:1929</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_abcad56047cef75a12528fe99794a6e1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#abcad56047cef75a12528fe99794a6e1e">operations_research::sat::BinaryImplicationGraph::RemoveFixedVariables</a></div><div class="ttdeci">void RemoveFixedVariables()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01012">clause.cc:1012</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ac0e93eabba80eccf6cc0a38cd09923b6"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac0e93eabba80eccf6cc0a38cd09923b6">operations_research::sat::BinaryImplicationGraph::WorkDone</a></div><div class="ttdeci">int64_t WorkDone() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00720">clause.h:720</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ac43fb21cb946317348b377dbdd1589f2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac43fb21cb946317348b377dbdd1589f2">operations_research::sat::BinaryImplicationGraph::num_minimization</a></div><div class="ttdeci">int64_t num_minimization() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00615">clause.h:615</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ac8d9ce1fd42b34561f508c578f61e4ef"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ac8d9ce1fd42b34561f508c578f61e4ef">operations_research::sat::BinaryImplicationGraph::IsEmpty</a></div><div class="ttdeci">bool IsEmpty() const final</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00484">clause.h:484</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ad2d9e6c6ea7ab13e0d0002a035a6d308"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad2d9e6c6ea7ab13e0d0002a035a6d308">operations_research::sat::BinaryImplicationGraph::IsRemoved</a></div><div class="ttdeci">bool IsRemoved(Literal l) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00712">clause.h:712</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ad51633e5f8ff600c5ac6509bf9a35655"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad51633e5f8ff600c5ac6509bf9a35655">operations_research::sat::BinaryImplicationGraph::ExpandAtMostOneWithWeight</a></div><div class="ttdeci">std::vector&lt; Literal &gt; ExpandAtMostOneWithWeight(const absl::Span&lt; const Literal &gt; at_most_one, const absl::StrongVector&lt; LiteralIndex, bool &gt; &amp;can_be_included, const absl::StrongVector&lt; LiteralIndex, double &gt; &amp;expanded_lp_values)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l01639">clause.cc:1639</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ad7144ed926660fe38c0cfbeedbaa8dfc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ad7144ed926660fe38c0cfbeedbaa8dfc">operations_research::sat::BinaryImplicationGraph::IsDag</a></div><div class="ttdeci">bool IsDag() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00546">clause.h:546</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_ae9a2f518d6edd64467abcef2c70934ff"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#ae9a2f518d6edd64467abcef2c70934ff">operations_research::sat::BinaryImplicationGraph::num_implications</a></div><div class="ttdeci">int64_t num_implications() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00639">clause.h:639</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_aec717d6bc59b3b48bb21276a081c62c1"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#aec717d6bc59b3b48bb21276a081c62c1">operations_research::sat::BinaryImplicationGraph::AddAtMostOne</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool AddAtMostOne(absl::Span&lt; const Literal &gt; at_most_one)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00553">clause.cc:553</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_af18b28ba180d18c4e4f524d6fde71f28"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af18b28ba180d18c4e4f524d6fde71f28">operations_research::sat::BinaryImplicationGraph::literal_size</a></div><div class="ttdeci">int64_t literal_size() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00640">clause.h:640</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_af30fd0373e896f83bb84d2295a310492"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af30fd0373e896f83bb84d2295a310492">operations_research::sat::BinaryImplicationGraph::MinimizeConflictExperimental</a></div><div class="ttdeci">void MinimizeConflictExperimental(const Trail &amp;trail, std::vector&lt; Literal &gt; *c)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00961">clause.cc:961</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_af7fbbd00f0e631ce361b5ce6636b2017"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#af7fbbd00f0e631ce361b5ce6636b2017">operations_research::sat::BinaryImplicationGraph::Resize</a></div><div class="ttdeci">void Resize(int num_variables)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00495">clause.cc:495</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_binary_implication_graph_html_afc581e906dd97aacce13dd14d6a12cf3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_binary_implication_graph.html#afc581e906dd97aacce13dd14d6a12cf3">operations_research::sat::BinaryImplicationGraph::DirectImplicationsEstimatedSize</a></div><div class="ttdeci">int DirectImplicationsEstimatedSize(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00697">clause.h:697</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_drat_proof_handler_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_drat_proof_handler.html">operations_research::sat::DratProofHandler</a></div><div class="ttdef"><b>Definition:</b> <a href="drat__proof__handler_8h_source.html#l00043">drat_proof_handler.h:43</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00067">sat_base.h:67</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a44fc3f1a79635fadb162d04cec312341"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a44fc3f1a79635fadb162d04cec312341">operations_research::sat::Literal::SignedValue</a></div><div class="ttdeci">int SignedValue() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00090">sat_base.h:90</a></div></div>
<div class="ttc" id="aclassoperations__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#l00087">sat_base.h:87</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00094">sat_base.h:94</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html">operations_research::sat::LiteralWatchers</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00163">clause.h:163</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a0ddf4dc22639ee58f75985d875d1fd2d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a0ddf4dc22639ee58f75985d875d1fd2d">operations_research::sat::LiteralWatchers::InprocessingFixLiteral</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool InprocessingFixLiteral(Literal true_literal)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00357">clause.cc:357</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a1c7c594a8c50b3a60f4b67b74da2e4ed"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a1c7c594a8c50b3a60f4b67b74da2e4ed">operations_research::sat::LiteralWatchers::LiteralWatchers</a></div><div class="ttdeci">LiteralWatchers(Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00071">clause.cc:71</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a1f591be5334541874ba049873235f0a9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a1f591be5334541874ba049873235f0a9">operations_research::sat::LiteralWatchers::Propagate</a></div><div class="ttdeci">bool Propagate(Trail *trail) final</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00201">clause.cc:201</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a287676c504a640a5569710d352ef6585"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a287676c504a640a5569710d352ef6585">operations_research::sat::LiteralWatchers::InprocessingRemoveClause</a></div><div class="ttdeci">void InprocessingRemoveClause(SatClause *clause)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00376">clause.cc:376</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a32aff14f95e1bfa0ac66cbff8e2f6cb7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a32aff14f95e1bfa0ac66cbff8e2f6cb7">operations_research::sat::LiteralWatchers::NextClauseToMinimize</a></div><div class="ttdeci">SatClause * NextClauseToMinimize()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00249">clause.h:249</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a38c7c4ca12035b254d9497a401606e0c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a38c7c4ca12035b254d9497a401606e0c">operations_research::sat::LiteralWatchers::DetachAllClauses</a></div><div class="ttdeci">void DetachAllClauses()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00329">clause.cc:329</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a56cba28a88a7cffa362a362fdce24dc3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a56cba28a88a7cffa362a362fdce24dc3">operations_research::sat::LiteralWatchers::AttachAllClauses</a></div><div class="ttdeci">void AttachAllClauses()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00340">clause.cc:340</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a5aa25e6e306c7158c11d2053170379a2"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a5aa25e6e306c7158c11d2053170379a2">operations_research::sat::LiteralWatchers::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="clause_8cc_source.html#l00210">clause.cc:210</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a5dd3bd6d733d8f5647f15e225f8e91c4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a5dd3bd6d733d8f5647f15e225f8e91c4">operations_research::sat::LiteralWatchers::mutable_clauses_info</a></div><div class="ttdeci">absl::flat_hash_map&lt; SatClause *, ClauseInfo &gt; * mutable_clauses_info()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00226">clause.h:226</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a6af58ea401f90fe1a40be4558dba478a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a6af58ea401f90fe1a40be4558dba478a">operations_research::sat::LiteralWatchers::AddRemovableClause</a></div><div class="ttdeci">SatClause * AddRemovableClause(const std::vector&lt; Literal &gt; &amp;literals, Trail *trail)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00230">clause.cc:230</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a70c5a070f03810d5467c5758f6bb916e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a70c5a070f03810d5467c5758f6bb916e">operations_research::sat::LiteralWatchers::num_inspected_clauses</a></div><div class="ttdeci">int64_t num_inspected_clauses() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00231">clause.h:231</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a74971b631e1b357b2f440dff321b5c9b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a74971b631e1b357b2f440dff321b5c9b">operations_research::sat::LiteralWatchers::InprocessingAddClause</a></div><div class="ttdeci">SatClause * InprocessingAddClause(absl::Span&lt; const Literal &gt; new_clause)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00433">clause.cc:433</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a75f1d17f36330a1c8a96e43fe8805598"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a75f1d17f36330a1c8a96e43fe8805598">operations_research::sat::LiteralWatchers::SetDratProofHandler</a></div><div class="ttdeci">void SetDratProofHandler(DratProofHandler *drat_proof_handler)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00242">clause.h:242</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_a9e43736bb5ad76519001b5beeb0eac6d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#a9e43736bb5ad76519001b5beeb0eac6d">operations_research::sat::LiteralWatchers::num_clauses</a></div><div class="ttdeci">int64_t num_clauses() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00213">clause.h:213</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_aab96a842b592211bf178caaf41e41f1d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#aab96a842b592211bf178caaf41e41f1d">operations_research::sat::LiteralWatchers::Attach</a></div><div class="ttdeci">void Attach(SatClause *clause, Trail *trail)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00292">clause.cc:292</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_aaec5e05be5e5e385c6222c023587cb05"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#aaec5e05be5e5e385c6222c023587cb05">operations_research::sat::LiteralWatchers::AddClause</a></div><div class="ttdeci">bool AddClause(absl::Span&lt; const Literal &gt; literals, Trail *trail)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00223">clause.cc:223</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_aaf9f3bc83c843a94dd2240e2a81a5e3b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#aaf9f3bc83c843a94dd2240e2a81a5e3b">operations_research::sat::LiteralWatchers::ReasonClause</a></div><div class="ttdeci">SatClause * ReasonClause(int trail_index) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00215">clause.cc:215</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ab054db78fc1b1e1681d2fc4e9fd1ca45"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab054db78fc1b1e1681d2fc4e9fd1ca45">operations_research::sat::LiteralWatchers::IsRemovable</a></div><div class="ttdeci">bool IsRemovable(SatClause *const clause) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00222">clause.h:222</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ab17b31190c5ab58a1334139848335283"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab17b31190c5ab58a1334139848335283">operations_research::sat::LiteralWatchers::InprocessingRewriteClause</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool InprocessingRewriteClause(SatClause *clause, absl::Span&lt; const Literal &gt; new_clause)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00385">clause.cc:385</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ab6174cc15ef4df301b31aff43216039e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab6174cc15ef4df301b31aff43216039e">operations_research::sat::LiteralWatchers::num_watched_clauses</a></div><div class="ttdeci">int64_t num_watched_clauses() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00240">clause.h:240</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ab6bd51395bef8b42ac66ad9b52635084"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab6bd51395bef8b42ac66ad9b52635084">operations_research::sat::LiteralWatchers::LazyDetach</a></div><div class="ttdeci">void LazyDetach(SatClause *clause)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00312">clause.cc:312</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ab80681ada3f207791a16617205935937"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ab80681ada3f207791a16617205935937">operations_research::sat::LiteralWatchers::num_removable_clauses</a></div><div class="ttdeci">int64_t num_removable_clauses() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00225">clause.h:225</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_abe425f3287da97e7ffaa8c9dfb3dcefe"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#abe425f3287da97e7ffaa8c9dfb3dcefe">operations_research::sat::LiteralWatchers::AllClausesInCreationOrder</a></div><div class="ttdeci">const std::vector&lt; SatClause * &gt; &amp; AllClausesInCreationOrder() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00214">clause.h:214</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ac5790e264f5bf7307a81ca51f1e0db66"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ac5790e264f5bf7307a81ca51f1e0db66">operations_research::sat::LiteralWatchers::~LiteralWatchers</a></div><div class="ttdeci">~LiteralWatchers() override</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00082">clause.cc:82</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ac94efbc893d56e2b210b3954d14c0bcc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ac94efbc893d56e2b210b3954d14c0bcc">operations_research::sat::LiteralWatchers::WatcherListOnFalse</a></div><div class="ttdeci">const std::vector&lt; Watcher &gt; &amp; WatcherListOnFalse(Literal false_literal) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00315">clause.h:315</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ad78bb381916ac421212217a3e5cb03ab"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ad78bb381916ac421212217a3e5cb03ab">operations_research::sat::LiteralWatchers::num_inspected_clause_literals</a></div><div class="ttdeci">int64_t num_inspected_clause_literals() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00232">clause.h:232</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ada4c57ad822069c6c61a93973dc39c4d"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ada4c57ad822069c6c61a93973dc39c4d">operations_research::sat::LiteralWatchers::ResetToMinimizeIndex</a></div><div class="ttdeci">void ResetToMinimizeIndex()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00260">clause.h:260</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ae234022ee7c496416290d1946f56e1ad"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ae234022ee7c496416290d1946f56e1ad">operations_research::sat::LiteralWatchers::DeleteRemovedClauses</a></div><div class="ttdeci">void DeleteRemovedClauses()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00472">clause.cc:472</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_ae57f3c4e72eb63a34fa09e707a18e6d3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#ae57f3c4e72eb63a34fa09e707a18e6d3">operations_research::sat::LiteralWatchers::CleanUpWatchers</a></div><div class="ttdeci">void CleanUpWatchers()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00459">clause.cc:459</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_af18b28ba180d18c4e4f524d6fde71f28"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#af18b28ba180d18c4e4f524d6fde71f28">operations_research::sat::LiteralWatchers::literal_size</a></div><div class="ttdeci">int64_t literal_size() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00237">clause.h:237</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_af3769ff2cdf469ae4a13cc4f6b15bc14"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#af3769ff2cdf469ae4a13cc4f6b15bc14">operations_research::sat::LiteralWatchers::Detach</a></div><div class="ttdeci">void Detach(SatClause *clause)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00319">clause.cc:319</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_watchers_html_af7fbbd00f0e631ce361b5ce6636b2017"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal_watchers.html#af7fbbd00f0e631ce361b5ce6636b2017">operations_research::sat::LiteralWatchers::Resize</a></div><div class="ttdeci">void Resize(int num_variables)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l00087">clause.cc:87</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00042">sat/model.h:42</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_random_generator_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model_random_generator.html">operations_research::sat::ModelRandomGenerator</a></div><div class="ttdef"><b>Definition:</b> <a href="sat_2util_8h_source.html#l00115">sat/util.h:115</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html">operations_research::sat::SatClause</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00054">clause.h:54</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a032da0acc85935dc44b2b885071bf7f7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a032da0acc85935dc44b2b885071bf7f7">operations_research::sat::SatClause::AsSpan</a></div><div class="ttdeci">absl::Span&lt; const Literal &gt; AsSpan() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00093">clause.h:93</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a038d65130c9a8115fd34fcad758a2bbe"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a038d65130c9a8115fd34fcad758a2bbe">operations_research::sat::SatClause::begin</a></div><div class="ttdeci">const Literal *const begin() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00072">clause.h:72</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a134ccfd39c4af0a201acdd1755a281bb"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a134ccfd39c4af0a201acdd1755a281bb">operations_research::sat::SatClause::PropagationReason</a></div><div class="ttdeci">absl::Span&lt; const Literal &gt; PropagationReason() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00088">clause.h:88</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a32e91bfa50c69a7b51346b9de33831ea"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a32e91bfa50c69a7b51346b9de33831ea">operations_research::sat::SatClause::SecondLiteral</a></div><div class="ttdeci">Literal SecondLiteral() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00078">clause.h:78</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a43aee08d7cb1f81a9fee85b46820f175"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a43aee08d7cb1f81a9fee85b46820f175">operations_research::sat::SatClause::PropagatedLiteral</a></div><div class="ttdeci">Literal PropagatedLiteral() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00083">clause.h:83</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a6095b00a4734d32844a85927b355ce32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a6095b00a4734d32844a85927b355ce32">operations_research::sat::SatClause::IsSatisfied</a></div><div class="ttdeci">bool IsSatisfied(const VariablesAssignment &amp;assignment) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l02071">clause.cc:2071</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a69422a656b68d50692a1b01e2b0d22ae"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a69422a656b68d50692a1b01e2b0d22ae">operations_research::sat::SatClause::RemoveFixedLiteralsAndTestIfTrue</a></div><div class="ttdeci">bool RemoveFixedLiteralsAndTestIfTrue(const VariablesAssignment &amp;assignment)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l02047">clause.cc:2047</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::SatClause::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l02078">clause.cc:2078</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_a78c28538faebd5f023cd4511df6ffee4"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#a78c28538faebd5f023cd4511df6ffee4">operations_research::sat::SatClause::empty</a></div><div class="ttdeci">int empty() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00069">clause.h:69</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_aac478410407cfc737e1b9a4db4952d23"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#aac478410407cfc737e1b9a4db4952d23">operations_research::sat::SatClause::end</a></div><div class="ttdeci">const Literal *const end() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00073">clause.h:73</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_ad6fa965d41774098c99258d76677fa02"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#ad6fa965d41774098c99258d76677fa02">operations_research::sat::SatClause::FirstLiteral</a></div><div class="ttdeci">Literal FirstLiteral() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00077">clause.h:77</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_ad891f84075141b619317c2634891d010"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#ad891f84075141b619317c2634891d010">operations_research::sat::SatClause::Create</a></div><div class="ttdeci">static SatClause * Create(absl::Span&lt; const Literal &gt; literals)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8cc_source.html#l02034">clause.cc:2034</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_ad8932e395fe5c508700b7f95d3064aef"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#ad8932e395fe5c508700b7f95d3064aef">operations_research::sat::SatClause::IsAttached</a></div><div class="ttdeci">bool IsAttached() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00111">clause.h:111</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_clause_html_af9593d4a5ff4274efaf429cb4f9e57cc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_clause.html#af9593d4a5ff4274efaf429cb4f9e57cc">operations_research::sat::SatClause::size</a></div><div class="ttdeci">int size() const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00068">clause.h:68</a></div></div>
<div class="ttc" id="aclassoperations__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#l00448">sat_base.h:448</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_sat_propagator_html_a0af2aa6e387b8037179350b735fe127e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_sat_propagator.html#a0af2aa6e387b8037179350b735fe127e">operations_research::sat::SatPropagator::propagator_id_</a></div><div class="ttdeci">int propagator_id_</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00515">sat_base.h:515</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00236">sat_base.h:236</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_a120ef5f82f667fe8a6a38db137bfd2a7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a120ef5f82f667fe8a6a38db137bfd2a7">operations_research::sat::Trail::RegisterPropagator</a></div><div class="ttdeci">void RegisterPropagator(SatPropagator *propagator)</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00560">sat_base.h:560</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_a28bc96741547301bfc21fd9648b9ee13"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a28bc96741547301bfc21fd9648b9ee13">operations_research::sat::Trail::ChangeReason</a></div><div class="ttdeci">void ChangeReason(int trail_index, int propagator_id)</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00338">sat_base.h:338</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_a4793952607a98dfddfbcc17abfabbb4b"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a4793952607a98dfddfbcc17abfabbb4b">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#l00383">sat_base.h:383</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_variables_assignment_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html">operations_research::sat::VariablesAssignment</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00125">sat_base.h:125</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1sat_1_1_variables_assignment_html_a5300129913f51dcb0b1c531e3248490e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">operations_research::sat::VariablesAssignment::LiteralIsTrue</a></div><div class="ttdeci">bool LiteralIsTrue(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00153">sat_base.h:153</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
<div class="ttc" id="adrat__proof__handler_8h_html"><div class="ttname"><a href="drat__proof__handler_8h.html">drat_proof_handler.h</a></div></div>
<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
<div class="ttc" id="agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
<div class="ttc" id="ahash_8h_html"><div class="ttname"><a href="hash_8h.html">hash.h</a></div></div>
<div class="ttc" id="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
<div class="ttc" id="alog__severity_8h_html_ab4a2cbab234914b320b7fae11b6e8cb9"><div class="ttname"><a href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a></div><div class="ttdeci">const int INFO</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="amacros_8h_html"><div class="ttname"><a href="macros_8h.html">macros.h</a></div></div>
<div class="ttc" id="amacros_8h_html_af8df3547bfde53a5acb93e2607b0034a"><div class="ttname"><a href="macros_8h.html#af8df3547bfde53a5acb93e2607b0034a">DISALLOW_COPY_AND_ASSIGN</a></div><div class="ttdeci">#define DISALLOW_COPY_AND_ASSIGN(TypeName)</div><div class="ttdef"><b>Definition:</b> <a href="macros_8h_source.html#l00029">macros.h:29</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a5de89a1f6e3f80a49a0d76136d8044e2"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a5de89a1f6e3f80a49a0d76136d8044e2">operations_research::math_opt::swap</a></div><div class="ttdeci">void swap(IdMap&lt; K, V &gt; &amp;a, IdMap&lt; K, V &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00262">id_map.h:262</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a2dbcb7017d468a17bdb30252af5c6c31"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a2dbcb7017d468a17bdb30252af5c6c31">operations_research::sat::kNoLiteralIndex</a></div><div class="ttdeci">const LiteralIndex kNoLiteralIndex(-1)</div></div>
<div class="ttc" id="anamespaceoperations__research_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="aoptimization_8cc_html_af63dcc00f2023fdf498e0829e6fb8a6b"><div class="ttname"><a href="optimization_8cc.html#af63dcc00f2023fdf498e0829e6fb8a6b">literal</a></div><div class="ttdeci">Literal literal</div><div class="ttdef"><b>Definition:</b> <a href="optimization_8cc_source.html#l00089">optimization.cc:89</a></div></div>
<div class="ttc" id="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
<div class="ttc" id="asat_2util_8h_html"><div class="ttname"><a href="sat_2util_8h.html">util.h</a></div></div>
<div class="ttc" id="asat__base_8h_html"><div class="ttname"><a href="sat__base_8h.html">sat_base.h</a></div></div>
<div class="ttc" id="astats_8h_html"><div class="ttname"><a href="stats_8h.html">stats.h</a></div></div>
<div class="ttc" id="astats_8h_html_a3c3e6b102f0d91c523099325c98e1887"><div class="ttname"><a href="stats_8h.html#a3c3e6b102f0d91c523099325c98e1887">IF_STATS_ENABLED</a></div><div class="ttdeci">#define IF_STATS_ENABLED(instructions)</div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00437">stats.h:437</a></div></div>
<div class="ttc" id="astrong__integers_8h_html"><div class="ttname"><a href="strong__integers_8h.html">strong_integers.h</a></div></div>
<div class="ttc" id="astrong__vector_8h_html"><div class="ttname"><a href="strong__vector_8h.html">strong_vector.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_binary_clause_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_binary_clause.html">operations_research::sat::BinaryClause</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00376">clause.h:376</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_binary_clause_html_a1fb4d33282747e00e9587898f7bd7c1d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_binary_clause.html#a1fb4d33282747e00e9587898f7bd7c1d">operations_research::sat::BinaryClause::operator==</a></div><div class="ttdeci">bool operator==(BinaryClause o) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00378">clause.h:378</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_binary_clause_html_a477754d976ebc5e37cccff698e299613"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_binary_clause.html#a477754d976ebc5e37cccff698e299613">operations_research::sat::BinaryClause::b</a></div><div class="ttdeci">Literal b</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00381">clause.h:381</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_binary_clause_html_a6e41fd727b3db90295d6f86f9a24691f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_binary_clause.html#a6e41fd727b3db90295d6f86f9a24691f">operations_research::sat::BinaryClause::operator!=</a></div><div class="ttdeci">bool operator!=(BinaryClause o) const</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00379">clause.h:379</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_binary_clause_html_a886d202fca076745c336601d66363bb9"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_binary_clause.html#a886d202fca076745c336601d66363bb9">operations_research::sat::BinaryClause::a</a></div><div class="ttdeci">Literal a</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00380">clause.h:380</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_binary_clause_html_acfdf00e98421d5336252330c6ee85e21"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_binary_clause.html#acfdf00e98421d5336252330c6ee85e21">operations_research::sat::BinaryClause::BinaryClause</a></div><div class="ttdeci">BinaryClause(Literal _a, Literal _b)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00377">clause.h:377</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_clause_info_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_clause_info.html">operations_research::sat::ClauseInfo</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00146">clause.h:146</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_clause_info_html_a88057f377391af0e1ebe4b97af753d19"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_clause_info.html#a88057f377391af0e1ebe4b97af753d19">operations_research::sat::ClauseInfo::protected_during_next_cleanup</a></div><div class="ttdeci">bool protected_during_next_cleanup</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00149">clause.h:149</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_clause_info_html_ac3e857ac5cab6563bdbf0dd5632df5ea"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_clause_info.html#ac3e857ac5cab6563bdbf0dd5632df5ea">operations_research::sat::ClauseInfo::activity</a></div><div class="ttdeci">double activity</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00147">clause.h:147</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_clause_info_html_aeae764750e16aaa4d963129a5dd92b6d"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_clause_info.html#aeae764750e16aaa4d963129a5dd92b6d">operations_research::sat::ClauseInfo::lbd</a></div><div class="ttdeci">int32_t lbd</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00148">clause.h:148</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html">operations_research::sat::LiteralWatchers::Watcher</a></div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00290">clause.h:290</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher_html_a4a0473c811fac417fd412079d44641bc"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a4a0473c811fac417fd412079d44641bc">operations_research::sat::LiteralWatchers::Watcher::Watcher</a></div><div class="ttdeci">Watcher()</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00291">clause.h:291</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher_html_a6382444169ace737c31ed66f4aaa4911"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a6382444169ace737c31ed66f4aaa4911">operations_research::sat::LiteralWatchers::Watcher::start_index</a></div><div class="ttdeci">int32_t start_index</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00308">clause.h:308</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher_html_a8a2bf3687ccbe5c521d93a13c07d6d77"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#a8a2bf3687ccbe5c521d93a13c07d6d77">operations_research::sat::LiteralWatchers::Watcher::Watcher</a></div><div class="ttdeci">Watcher(SatClause *c, Literal b, int i=2)</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00292">clause.h:292</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher_html_aac01b9da5c153681e4b792e0fa0b8d41"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#aac01b9da5c153681e4b792e0fa0b8d41">operations_research::sat::LiteralWatchers::Watcher::blocking_literal</a></div><div class="ttdeci">Literal blocking_literal</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00297">clause.h:297</a></div></div>
<div class="ttc" id="astructoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher_html_ad6bf9b00a3144ebd5ded72037f2b577f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_literal_watchers_1_1_watcher.html#ad6bf9b00a3144ebd5ded72037f2b577f">operations_research::sat::LiteralWatchers::Watcher::clause</a></div><div class="ttdeci">SatClause * clause</div><div class="ttdef"><b>Definition:</b> <a href="clause_8h_source.html#l00310">clause.h:310</a></div></div>
<div class="ttc" id="atime__limit_8h_html"><div class="ttname"><a href="time__limit_8h.html">time_limit.h</a></div></div>
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