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251 lines
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<div class="title">presolve.h</div> </div>
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<a href="presolve_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a 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>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#ifndef OR_TOOLS_FLATZINC_PRESOLVE_H_</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#define OR_TOOLS_FLATZINC_PRESOLVE_H_</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <functional></span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include <string></span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "absl/container/flat_hash_map.h"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "absl/container/flat_hash_set.h"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "absl/strings/match.h"</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="hash_8h.html">ortools/base/hash.h</a>"</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>"</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="flatzinc_2model_8h.html">ortools/flatzinc/model.h</a>"</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">namespace </span>fz {</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// The Presolver "pre-solves" a Model by applying some iterative</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// transformations to it, which may simplify and/or shrink the model.</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// TODO(user): Error reporting of unfeasible models.</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="classoperations__research_1_1fz_1_1_presolver.html"> 34</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1fz_1_1_presolver.html">Presolver</a> {</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// Recursively apply all the pre-solve rules to the model, until exhaustion.</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// The reduced model will:</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="comment">// - Have some unused variables.</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="comment">// - Have some unused constraints (marked as inactive).</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="comment">// - Have some modified constraints (for example, they will no longer</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="comment">// refer to unused variables).</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1fz_1_1_presolver.html#a960560379eec069d2062a118b0b9868d">Run</a>(<a class="code" href="classoperations__research_1_1fz_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// This struct stores the affine mapping of one variable:</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// it represents new_var = var * coefficient + offset. It also stores the</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// constraint that defines this mapping.</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">struct </span>AffineMapping {</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* variable;</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>;</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> offset;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* constraint;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  AffineMapping()</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  : variable(<span class="keyword">nullptr</span>), <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>(0), offset(0), constraint(<span class="keyword">nullptr</span>) {}</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  AffineMapping(<a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* v, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> c, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> o, <a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  : variable(v), <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>(c), offset(o), constraint(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {}</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  };</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// This struct stores the mapping of two index variables (of a 2D array; not</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// included here) onto a single index variable (of the flattened 1D array).</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// The original 2D array could be trimmed in the process; so we also need an</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// offset.</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// Eg. new_index_var = index_var1 * int_coeff + index_var2 + int_offset</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">struct </span>Array2DIndexMapping {</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* variable1;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* variable2;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> offset;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* constraint;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  Array2DIndexMapping()</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  : variable1(<span class="keyword">nullptr</span>),</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>(0),</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  variable2(<span class="keyword">nullptr</span>),</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  offset(0),</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  constraint(<span class="keyword">nullptr</span>) {}</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  Array2DIndexMapping(<a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* v1, <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> c, <a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* v2,</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> o, <a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>)</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  : variable1(v1),</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="routing__search_8cc.html#ab66ad179c8a6fcf1adb958cb51f4c7cb">coefficient</a>(c),</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  variable2(v2),</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  offset(o),</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  constraint(<a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>) {}</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  };</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">// Substitution support.</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordtype">void</span> SubstituteEverywhere(<a class="code" href="classoperations__research_1_1fz_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">void</span> SubstituteAnnotation(<a class="code" href="structoperations__research_1_1fz_1_1_annotation.html">Annotation</a>* ann);</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  </div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// Presolve rules.</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordtype">void</span> PresolveBool2Int(<a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordtype">void</span> PresolveStoreAffineMapping(<a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordtype">void</span> PresolveStoreFlatteningMapping(<a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordtype">void</span> PresolveSimplifyElement(<a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordtype">void</span> PresolveSimplifyExprElement(<a class="code" href="structoperations__research_1_1fz_1_1_constraint.html">Constraint</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>);</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// Helpers.</span></div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">void</span> UpdateRuleStats(<span class="keyword">const</span> std::string& rule_name) {</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  successful_rules_[rule_name]++;</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  }</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  </div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// The presolver will discover some equivalence classes of variables [two</span></div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// variable are equivalent when replacing one by the other leads to the same</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// logical model]. We will store them here, using a Union-find data structure.</span></div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// See http://en.wikipedia.org/wiki/Disjoint-set_data_structure.</span></div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// Note that the equivalence is directed. We prefer to replace all instances</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// of 'from' with 'to', rather than the opposite.</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordtype">void</span> AddVariableSubstitution(<a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* from, <a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* to);</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* FindRepresentativeOfVar(<a class="code" href="structoperations__research_1_1fz_1_1_integer_variable.html">IntegerVariable</a>* <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  absl::flat_hash_map<const IntegerVariable*, IntegerVariable*></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  var_representative_map_;</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  std::vector<IntegerVariable*> var_representative_vector_;</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="comment">// Stores affine_map_[x] = a * y + b.</span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  absl::flat_hash_map<const IntegerVariable*, AffineMapping> affine_map_;</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">// Stores array2d_index_map_[z] = a * x + y + b.</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  absl::flat_hash_map<const IntegerVariable*, Array2DIndexMapping></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  array2d_index_map_;</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// Count applications of presolve rules. Use a sorted map for reporting</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">// purposes.</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  std::map<std::string, int> successful_rules_;</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> };</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> } <span class="comment">// namespace fz</span></div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  </div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="preprocessor">#endif // OR_TOOLS_FLATZINC_PRESOLVE_H_</span></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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