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365 lines
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<div class="title">lp_data/permutation.h</div> </div>
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<a href="lp__data_2permutation_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_LP_DATA_PERMUTATION_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_LP_DATA_PERMUTATION_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 "absl/random/random.h"</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "<a class="code" href="strong__vector_8h.html">ortools/base/strong_vector.h</a>"</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="return__macros_8h.html">ortools/util/return_macros.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</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="l00023"></a><span class="lineno"> 23</span> <span class="keyword">namespace </span>glop {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// Permutation<IndexType> is a template class for storing and using</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">// row- and column- permutations, when instantiated with RowIndex and ColIndex</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// respectively.</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// By a row permutation we mean a permutation that maps the row 'i' of a matrix</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// (or column vector) to the row 'permutation[i]' and in a similar fashion by a</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// column permutation we mean a permutation that maps the column 'j' of a matrix</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// (or row vector) to the column 'permutation[j]'.</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// A permutation can be represented as a matrix P, but it gets a bit tricky</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// here: P.x permutes the rows of x according to the permutation P but x^T.P</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// permutes the columns of x^T (a row vector) using the INVERSE permutation.</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// That is, to permute the columns of x^T using P, one has to compute</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// x^T.P^{-1} but P^{-1} = P^T so the notation is consistent: If P.x permutes x,</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// then (P.x)^T = x^T.P^T permutes x^T with the same permutation.</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// So to be clear, if P and Q are permutation matrices, the matrix P.A.Q^{-1}</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// is the image of A through the row permutation P and column permutation Q.</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType></div>
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<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html"> 44</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation</a> {</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a085f3cba9df3e5d7bf171af655ee82b6"> 46</a></span>  <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a085f3cba9df3e5d7bf171af655ee82b6">Permutation</a>() : perm_() {}</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
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<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#ac7d54a486cebc9ec58761d7534900b03"> 48</a></span>  <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#ac7d54a486cebc9ec58761d7534900b03">Permutation</a>(IndexType <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>) : perm_(<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>.<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>(), IndexType(0)) {}</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  </div>
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<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b"> 50</a></span>  IndexType <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> IndexType(perm_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>()); }</div>
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<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a644718bb2fb240de962dc3c9a1fdf0dc"> 51</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a644718bb2fb240de962dc3c9a1fdf0dc">empty</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> perm_.<a class="code" href="classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">empty</a>(); }</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
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<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#ac8bb3912a3ce86b15842e79d0b421204"> 53</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>() { perm_.<a class="code" href="classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>(); }</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
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<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a06c60a9634eef5747765e4e1c7089823"> 55</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a06c60a9634eef5747765e4e1c7089823">resize</a>(IndexType <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>, IndexType <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>) {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  perm_.<a class="code" href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>.value(), <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</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"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#acb8f594fc0399176a6201d6c66eb0419"> 59</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#acb8f594fc0399176a6201d6c66eb0419">assign</a>(IndexType <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>, IndexType <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>) {</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  perm_.<a class="code" href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">assign</a>(<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>.value(), <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  }</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
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<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a26df751ec607f03294cb10845de401dc"> 63</a></span>  IndexType& <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a26df751ec607f03294cb10845de401dc">operator[]</a>(IndexType i) { <span class="keywordflow">return</span> perm_[i]; }</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
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<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a4542132e42563f3c02ba11333270f3b1"> 65</a></span>  <span class="keyword">const</span> IndexType <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a4542132e42563f3c02ba11333270f3b1">operator[]</a>(IndexType i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> perm_[i]; }</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// Populates the calling object with the inverse permutation of the parameter</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// inverse.</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#af70191062b734badb4405f2fde63792a"> 69</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#af70191062b734badb4405f2fde63792a">PopulateFromInverse</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation</a>& inverse);</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="comment">// Populates the calling object with the identity permutation.</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a9f719002a5c5a0dd758f546ea35445de"> 72</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a9f719002a5c5a0dd758f546ea35445de">PopulateFromIdentity</a>();</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="comment">// Populates the calling object with a random permutation.</span></div>
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<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a3c67d82703c33d2e26d9f9b3c05f3800"> 75</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a3c67d82703c33d2e26d9f9b3c05f3800">PopulateRandomly</a>();</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">// Returns true if the calling object contains a permutation, false otherwise.</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a49b06b04b3aa7a76149ce864098a0f15"> 78</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a49b06b04b3aa7a76149ce864098a0f15">Check</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  </div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// Returns the signature of a permutation in O(n), where n is the permutation</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// size.</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// The signature of a permutation is the product of the signature of</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// the cycles defining the permutation.</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// The signature of an odd cycle is 1, while the signature of an even cycle</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// is -1. (Remembering hint: the signature of a swap (a 2-cycle) is -1.)</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a76e3e0c8f9806aee8b9e23679974071a"> 86</a></span>  <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a76e3e0c8f9806aee8b9e23679974071a">ComputeSignature</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IndexType, IndexType></a> perm_;</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>  DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation</a>);</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> };</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
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<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec"> 94</a></span> <span class="keyword">typedef</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<RowIndex></a> <a class="code" href="namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec">RowPermutation</a>;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a"> 95</a></span> <span class="keyword">typedef</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<ColIndex></a> <a class="code" href="namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a">ColumnPermutation</a>;</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// Applies the permutation perm to the vector b. Overwrites result to store</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// the result.</span></div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// TODO(user): Try to restrict this method to using the same integer type in</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// the permutation and for the vector indices, i.e.</span></div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// IndexType == ITIVectorType::IndexType. Some client code will need to be</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// refactored.</span></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType, <span class="keyword">typename</span> ITIVectorType></div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ad23afb4770e9de727133317f32f68a2f">ApplyPermutation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<IndexType></a>& perm,</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">const</span> ITIVectorType& <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>, ITIVectorType* result);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// Applies the inverse of perm to the vector b. Overwrites result to store</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment">// the result.</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType, <span class="keyword">typename</span> ITIVectorType></div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a302ba2f0cfbe5918e56eeaaf00231843">ApplyInversePermutation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<IndexType></a>& perm,</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keyword">const</span> ITIVectorType& <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>, ITIVectorType* result);</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// Specialization of ApplyPermutation(): apply a column permutation to a</span></div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// row-indexed vector v.</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">template</span> <<span class="keyword">typename</span> RowIndexedVector></div>
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<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#ae436c0f61edb4f16608010c8bd75a1da"> 116</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ae436c0f61edb4f16608010c8bd75a1da">ApplyColumnPermutationToRowIndexedVector</a>(</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<ColIndex></a>& col_perm, RowIndexedVector* v) {</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  RowIndexedVector temp_v = *v;</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ad23afb4770e9de727133317f32f68a2f">ApplyPermutation</a>(col_perm, temp_v, v);</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> }</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">// --------------------------------------------------------</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// Implementation</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// --------------------------------------------------------</span></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="keyword">template</span> <<span class="keyword">typename</span> IndexType></div>
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<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#af70191062b734badb4405f2fde63792a"> 127</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#af70191062b734badb4405f2fde63792a">Permutation<IndexType>::PopulateFromInverse</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation</a>& inverse) {</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> size = inverse.perm_.<a class="code" href="classabsl_1_1_strong_vector.html#a60304b65bf89363bcc3165d3cde67f86">size</a>();</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  perm_.resize(size);</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  perm_[inverse[i]] = i;</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> }</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType></div>
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<div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a9f719002a5c5a0dd758f546ea35445de"> 136</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a9f719002a5c5a0dd758f546ea35445de">Permutation<IndexType>::PopulateFromIdentity</a>() {</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> size = perm_.size();</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  perm_.resize(size, IndexType(0));</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  perm_[i] = i;</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> }</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType></div>
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<div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a3c67d82703c33d2e26d9f9b3c05f3800"> 145</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a3c67d82703c33d2e26d9f9b3c05f3800">Permutation<IndexType>::PopulateRandomly</a>() {</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  PopulateFromIdentity();</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  std::shuffle(perm_.begin(), perm_.end());</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> }</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  </div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType></div>
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<div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a49b06b04b3aa7a76149ce864098a0f15"> 151</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a49b06b04b3aa7a76149ce864098a0f15">Permutation<IndexType>::Check</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> size = perm_.size();</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IndexType, bool></a> visited(size, <span class="keyword">false</span>);</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">if</span> (perm_[i] < 0 || perm_[i] >= size) {</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  }</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  visited[perm_[i]] = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">if</span> (!visited[i]) {</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  }</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> }</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType></div>
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<div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_permutation.html#a76e3e0c8f9806aee8b9e23679974071a"> 169</a></span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a76e3e0c8f9806aee8b9e23679974071a">Permutation<IndexType>::ComputeSignature</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> size = perm_.size();</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="classabsl_1_1_strong_vector.html">absl::StrongVector<IndexType, bool></a> visited(size);</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(Check());</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordtype">int</span> signature = 1;</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">if</span> (!visited[i]) {</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordtype">int</span> cycle_size = 0;</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  IndexType j = i;</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordflow">do</span> {</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  j = perm_[j];</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  visited[j] = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  ++cycle_size;</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  } <span class="keywordflow">while</span> (j != i);</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">if</span> ((cycle_size & 1) == 0) {</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  signature = -signature;</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">return</span> signature;</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> }</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType, <span class="keyword">typename</span> ITIVectorType></div>
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<div class="line"><a name="l00192"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#ad23afb4770e9de727133317f32f68a2f"> 192</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ad23afb4770e9de727133317f32f68a2f">ApplyPermutation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<IndexType></a>& perm,</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">const</span> ITIVectorType& <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>, ITIVectorType* result) {</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(result);</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keyword">const</span> IndexType size(perm.<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>());</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">if</span> (size == 0) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(size.value(), <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.size().value());</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  result->resize(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.size(), <span class="comment">/*whatever junk value*/</span> <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.back());</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keyword">const</span> <span class="keyword">typename</span> ITIVectorType::IndexType ith_index(i.value());</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keyword">const</span> <span class="keyword">typename</span> ITIVectorType::IndexType permuted(perm[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>());</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  (*result)[permuted] = <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>[ith_index];</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  }</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> }</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">template</span> <<span class="keyword">typename</span> IndexType, <span class="keyword">typename</span> ITIVectorType></div>
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<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#a302ba2f0cfbe5918e56eeaaf00231843"> 207</a></span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a302ba2f0cfbe5918e56eeaaf00231843">ApplyInversePermutation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">Permutation<IndexType></a>& perm,</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keyword">const</span> ITIVectorType& <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>, ITIVectorType* result) {</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(result);</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">const</span> IndexType size(perm.<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>().value());</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">if</span> (size == 0) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(size.value(), <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.size().value());</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  result->resize(<a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.size(), <span class="comment">/*whatever junk value*/</span> <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.back());</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">for</span> (IndexType i(0); i < size; ++i) {</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keyword">const</span> <span class="keyword">typename</span> ITIVectorType::IndexType ith_index(i.value());</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keyword">const</span> <span class="keyword">typename</span> ITIVectorType::IndexType permuted(perm[i].<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>());</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  (*result)[ith_index] = <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>[permuted];</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  }</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> }</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  </div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> } <span class="comment">// namespace glop</span></div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  </div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_LP_DATA_PERMUTATION_H_</span></div>
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<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00884">base/logging.h:884</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0"><div class="ttname"><a href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a></div><div class="ttdeci">#define DCHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00885">base/logging.h:885</a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html"><div class="ttname"><a href="classabsl_1_1_strong_vector.html">absl::StrongVector< IndexType, IndexType ></a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a184fe69018ae421dcf31c964bfe40576"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a184fe69018ae421dcf31c964bfe40576">absl::StrongVector::assign</a></div><div class="ttdeci">void assign(size_type n, const value_type &val)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00131">strong_vector.h:131</a></div></div>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a4e3670a285a3642eaa07f66766cffa72"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a4e3670a285a3642eaa07f66766cffa72">absl::StrongVector::resize</a></div><div class="ttdeci">void resize(size_type new_size)</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00150">strong_vector.h:150</a></div></div>
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<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>
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<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>
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<div class="ttc" id="aclassabsl_1_1_strong_vector_html_ac8bb3912a3ce86b15842e79d0b421204"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#ac8bb3912a3ce86b15842e79d0b421204">absl::StrongVector::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00170">strong_vector.h:170</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html">operations_research::glop::Permutation</a></div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00044">lp_data/permutation.h:44</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a06c60a9634eef5747765e4e1c7089823"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a06c60a9634eef5747765e4e1c7089823">operations_research::glop::Permutation::resize</a></div><div class="ttdeci">void resize(IndexType size, IndexType value)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00055">lp_data/permutation.h:55</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a085f3cba9df3e5d7bf171af655ee82b6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a085f3cba9df3e5d7bf171af655ee82b6">operations_research::glop::Permutation::Permutation</a></div><div class="ttdeci">Permutation()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00046">lp_data/permutation.h:46</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a1df2b3a4485e328397fda9b5f9b3ea2b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">operations_research::glop::Permutation::size</a></div><div class="ttdeci">IndexType size() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00050">lp_data/permutation.h:50</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a26df751ec607f03294cb10845de401dc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a26df751ec607f03294cb10845de401dc">operations_research::glop::Permutation::operator[]</a></div><div class="ttdeci">IndexType & operator[](IndexType i)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00063">lp_data/permutation.h:63</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a3c67d82703c33d2e26d9f9b3c05f3800"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a3c67d82703c33d2e26d9f9b3c05f3800">operations_research::glop::Permutation::PopulateRandomly</a></div><div class="ttdeci">void PopulateRandomly()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00145">lp_data/permutation.h:145</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a4542132e42563f3c02ba11333270f3b1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a4542132e42563f3c02ba11333270f3b1">operations_research::glop::Permutation::operator[]</a></div><div class="ttdeci">const IndexType operator[](IndexType i) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00065">lp_data/permutation.h:65</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a49b06b04b3aa7a76149ce864098a0f15"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a49b06b04b3aa7a76149ce864098a0f15">operations_research::glop::Permutation::Check</a></div><div class="ttdeci">bool Check() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00151">lp_data/permutation.h:151</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a644718bb2fb240de962dc3c9a1fdf0dc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a644718bb2fb240de962dc3c9a1fdf0dc">operations_research::glop::Permutation::empty</a></div><div class="ttdeci">bool empty() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00051">lp_data/permutation.h:51</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a76e3e0c8f9806aee8b9e23679974071a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a76e3e0c8f9806aee8b9e23679974071a">operations_research::glop::Permutation::ComputeSignature</a></div><div class="ttdeci">int ComputeSignature() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00169">lp_data/permutation.h:169</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a9f719002a5c5a0dd758f546ea35445de"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a9f719002a5c5a0dd758f546ea35445de">operations_research::glop::Permutation::PopulateFromIdentity</a></div><div class="ttdeci">void PopulateFromIdentity()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00136">lp_data/permutation.h:136</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_ac7d54a486cebc9ec58761d7534900b03"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#ac7d54a486cebc9ec58761d7534900b03">operations_research::glop::Permutation::Permutation</a></div><div class="ttdeci">Permutation(IndexType size)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00048">lp_data/permutation.h:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_ac8bb3912a3ce86b15842e79d0b421204"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#ac8bb3912a3ce86b15842e79d0b421204">operations_research::glop::Permutation::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00053">lp_data/permutation.h:53</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_acb8f594fc0399176a6201d6c66eb0419"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#acb8f594fc0399176a6201d6c66eb0419">operations_research::glop::Permutation::assign</a></div><div class="ttdeci">void assign(IndexType size, IndexType value)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00059">lp_data/permutation.h:59</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_af70191062b734badb4405f2fde63792a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#af70191062b734badb4405f2fde63792a">operations_research::glop::Permutation::PopulateFromInverse</a></div><div class="ttdeci">void PopulateFromInverse(const Permutation &inverse)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00127">lp_data/permutation.h:127</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_a344010e26426d6a13411648d988bc9b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a></div><div class="ttdeci">int64 b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00043">constraint_solver/table.cc:43</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
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<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a302ba2f0cfbe5918e56eeaaf00231843"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a302ba2f0cfbe5918e56eeaaf00231843">operations_research::glop::ApplyInversePermutation</a></div><div class="ttdeci">void ApplyInversePermutation(const Permutation< IndexType > &perm, const ITIVectorType &b, ITIVectorType *result)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00207">lp_data/permutation.h:207</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a6b1b56ad0cb77edbd314f2bec33b467a"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a6b1b56ad0cb77edbd314f2bec33b467a">operations_research::glop::ColumnPermutation</a></div><div class="ttdeci">Permutation< ColIndex > ColumnPermutation</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00095">lp_data/permutation.h:95</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ad23afb4770e9de727133317f32f68a2f"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ad23afb4770e9de727133317f32f68a2f">operations_research::glop::ApplyPermutation</a></div><div class="ttdeci">void ApplyPermutation(const Permutation< IndexType > &perm, const ITIVectorType &b, ITIVectorType *result)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00192">lp_data/permutation.h:192</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ae436c0f61edb4f16608010c8bd75a1da"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ae436c0f61edb4f16608010c8bd75a1da">operations_research::glop::ApplyColumnPermutationToRowIndexedVector</a></div><div class="ttdeci">void ApplyColumnPermutationToRowIndexedVector(const Permutation< ColIndex > &col_perm, RowIndexedVector *v)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00116">lp_data/permutation.h:116</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ae69267cf0653a77925ee13121b9857ec"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ae69267cf0653a77925ee13121b9857ec">operations_research::glop::RowPermutation</a></div><div class="ttdeci">Permutation< RowIndex > RowPermutation</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00094">lp_data/permutation.h:94</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="areturn__macros_8h_html"><div class="ttname"><a href="return__macros_8h.html">return_macros.h</a></div></div>
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<div class="ttc" id="areturn__macros_8h_html_a6009315499028d98072d8f31834cf4f9"><div class="ttname"><a href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a></div><div class="ttdeci">#define RETURN_IF_NULL(x)</div><div class="ttdef"><b>Definition:</b> <a href="return__macros_8h_source.html#l00020">return_macros.h:20</a></div></div>
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