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270 lines
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<div class="headertitle"><div class="title">dual_edge_norms.h</div></div>
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<a href="dual__edge__norms_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a id="l00012" 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 id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_GLOP_DUAL_EDGE_NORMS_H_</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_GLOP_DUAL_EDGE_NORMS_H_</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include "<a class="code" href="basis__representation_8h.html">ortools/glop/basis_representation.h</a>"</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include "ortools/glop/parameters.pb.h"</span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include "<a class="code" href="lp__data_8h.html">ortools/lp_data/lp_data.h</a>"</span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</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 id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "<a class="code" href="lp__data_2permutation_8h.html">ortools/lp_data/permutation.h</a>"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "<a class="code" href="scattered__vector_8h.html">ortools/lp_data/scattered_vector.h</a>"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "<a class="code" href="stats_8h.html">ortools/util/stats.h</a>"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">namespace </span>glop {</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">// This class maintains the dual edge squared norms to be used in the</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">// dual steepest edge pricing. The dual edge u_i associated with a basic</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// variable of row index i is such that u_i.B = e_i where e_i is the unit row</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// vector with a 1.0 at position i and B the current basis. We call such vector</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// u_i an unit row left inverse, and it can be computed by</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">//</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">// basis_factorization.LeftSolveForUnitRow(i, &u_i);</span></div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">//</span></div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment">// Instead of computing each ||u_i|| at every iteration, it is more efficient to</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">// update them incrementally for each basis pivot applied to B. See the code or</span></div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// the papers below for details:</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">//</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// J.J. Forrest, D. Goldfarb, "Steepest-edge simplex algorithms for linear</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">// programming", Mathematical Programming 57 (1992) 341-374, North-Holland.</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// http://www.springerlink.com/content/q645w3t2q229m248/</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">//</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">// Achim Koberstein, "The dual simplex method, techniques for a fast and stable</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">// implementation", PhD, Paderborn, Univ., 2005.</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">// http://digital.ub.uni-paderborn.de/hs/download/pdf/3885?originalFilename=true</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html"> 47</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html">DualEdgeNorms</a> {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// Takes references to the linear program data we need.</span></div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">explicit</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aae480c260ae0af4e638f918eb7deaaf4">DualEdgeNorms</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_basis_factorization.html">BasisFactorization</a>& basis_factorization);</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// Clears, i.e. reset the object to its initial value. This will trigger a</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// full norm recomputation on the next GetEdgeSquaredNorms().</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// When we just add new constraints to the matrix and use an incremental</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// solve, we do not need to recompute the norm of the old rows, and the norm</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// of the new ones can be just set to 1 as long as we use identity columns for</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// these.</span></div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aa1eaa31ee29b8635d194762c1eb80962">ResizeOnNewRows</a>(RowIndex new_size);</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// If this is true, then the caller must re-factorize the basis before the</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// next call to GetEdgeSquaredNorms(). This is because the latter will</span></div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// recompute the norms from scratch and therefore needs a hightened precision</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// and speed. This also indicates if GetEdgeSquaredNorms() will trigger a</span></div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// recomputation.</span></div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#af507437729fd1e93677772e748ca1cfc">NeedsBasisRefactorization</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// Returns the dual edge squared norms. This is only valid if the caller</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// properly called UpdateBeforeBasisPivot() before each basis pivot, or just</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// called Clear().</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>& <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#a1f1a686f26843ecfeb36e71f7626c330">GetEdgeSquaredNorms</a>();</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// Updates the norms if the columns of the basis where permuted.</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#a0c2c64e7a26487661db464cb20d4ddfe">UpdateDataOnBasisPermutation</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_permutation.html">ColumnPermutation</a>& col_perm);</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// Updates the norms just before a basis pivot is applied:</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// - The column at leaving_row will leave the basis and the column at</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// entering_col will enter it.</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// - direction is the right inverse of the entering column.</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// - unit_row_left_inverse is the left inverse of the unit row with index</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// given by the leaving_row. This is also the leaving dual edge.</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#a07ecfa8dabb00a7f680dc64efe1127d1">UpdateBeforeBasisPivot</a>(ColIndex entering_col, RowIndex leaving_row,</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>& direction,</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>& unit_row_left_inverse);</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// Sets the algorithm parameters.</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea"> 88</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea">SetParameters</a>(<span class="keyword">const</span> GlopParameters& <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>) {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> parameters_ = <a class="code hl_variable" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Stats related functions.</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#af9bc435481ae9e6e60d66a65d5394a7f"> 93</a></span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#af9bc435481ae9e6e60d66a65d5394a7f">StatString</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> stats_.StatString(); }</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// Recomputes the dual edge squared norms from scratch with maximum precision.</span></div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// The matrix must have been refactorized before because we will do a lot of</span></div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// inversions. See NeedsBasisRefactorization(). This is checked in debug mode.</span></div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordtype">void</span> ComputeEdgeSquaredNorms();</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Computes the vector tau needed to update the norms using a right solve:</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// B.tau = (u_i)^T, u_i.B = e_i for i = leaving_row.</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>& ComputeTau(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>& unit_row_left_inverse);</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// Statistics.</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">struct </span>Stats : <span class="keyword">public</span> <a class="code hl_class" href="classoperations__research_1_1_stats_group.html">StatsGroup</a> {</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> Stats()</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> : <a class="code hl_class" href="classoperations__research_1_1_stats_group.html">StatsGroup</a>(<span class="stringliteral">"DualEdgeNorms"</span>),</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> tau_density(<span class="stringliteral">"tau_density"</span>, this),</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> edge_norms_accuracy(<span class="stringliteral">"edge_norms_accuracy"</span>, this),</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> lower_bounded_norms(<span class="stringliteral">"lower_bounded_norms"</span>, this) {}</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_class" href="classoperations__research_1_1_ratio_distribution.html">RatioDistribution</a> tau_density;</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> edge_norms_accuracy;</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_class" href="classoperations__research_1_1_integer_distribution.html">IntegerDistribution</a> lower_bounded_norms;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> };</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> Stats stats_;</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// Parameters.</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> GlopParameters parameters_;</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// Problem data that should be updated from outside.</span></div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">const</span> BasisFactorization& basis_factorization_;</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> </div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// The dual edge norms.</span></div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a> edge_squared_norms_;</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="comment">// Whether we should recompute the norm from scratch.</span></div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordtype">bool</span> recompute_edge_squared_norms_;</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_function" href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aae480c260ae0af4e638f918eb7deaaf4">DualEdgeNorms</a>);</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>};</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>} <span class="comment">// namespace glop</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_GLOP_DUAL_EDGE_NORMS_H_</span></div>
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<div class="ttc" id="abasis__representation_8h_html"><div class="ttname"><a href="basis__representation_8h.html">basis_representation.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_double_distribution_html"><div class="ttname"><a href="classoperations__research_1_1_double_distribution.html">operations_research::DoubleDistribution</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00275">stats.h:275</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_integer_distribution_html"><div class="ttname"><a href="classoperations__research_1_1_integer_distribution.html">operations_research::IntegerDistribution</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00287">stats.h:287</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_ratio_distribution_html"><div class="ttname"><a href="classoperations__research_1_1_ratio_distribution.html">operations_research::RatioDistribution</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00263">stats.h:263</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_stats_group_html"><div class="ttname"><a href="classoperations__research_1_1_stats_group.html">operations_research::StatsGroup</a></div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00131">stats.h:131</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html">operations_research::glop::BasisFactorization</a></div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8h_source.html#l00151">basis_representation.h:151</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html">operations_research::glop::DualEdgeNorms</a></div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8h_source.html#l00047">dual_edge_norms.h:47</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_a07ecfa8dabb00a7f680dc64efe1127d1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#a07ecfa8dabb00a7f680dc64efe1127d1">operations_research::glop::DualEdgeNorms::UpdateBeforeBasisPivot</a></div><div class="ttdeci">void UpdateBeforeBasisPivot(ColIndex entering_col, RowIndex leaving_row, const ScatteredColumn &direction, const ScatteredRow &unit_row_left_inverse)</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00046">dual_edge_norms.cc:46</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_a0c2c64e7a26487661db464cb20d4ddfe"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#a0c2c64e7a26487661db464cb20d4ddfe">operations_research::glop::DualEdgeNorms::UpdateDataOnBasisPermutation</a></div><div class="ttdeci">void UpdateDataOnBasisPermutation(const ColumnPermutation &col_perm)</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00040">dual_edge_norms.cc:40</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_a1f1a686f26843ecfeb36e71f7626c330"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#a1f1a686f26843ecfeb36e71f7626c330">operations_research::glop::DualEdgeNorms::GetEdgeSquaredNorms</a></div><div class="ttdeci">const DenseColumn & GetEdgeSquaredNorms()</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00035">dual_edge_norms.cc:35</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_aa1eaa31ee29b8635d194762c1eb80962"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aa1eaa31ee29b8635d194762c1eb80962">operations_research::glop::DualEdgeNorms::ResizeOnNewRows</a></div><div class="ttdeci">void ResizeOnNewRows(RowIndex new_size)</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00031">dual_edge_norms.cc:31</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::DualEdgeNorms::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00029">dual_edge_norms.cc:29</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_aae480c260ae0af4e638f918eb7deaaf4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#aae480c260ae0af4e638f918eb7deaaf4">operations_research::glop::DualEdgeNorms::DualEdgeNorms</a></div><div class="ttdeci">DualEdgeNorms(const BasisFactorization &basis_factorization)</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00021">dual_edge_norms.cc:21</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::DualEdgeNorms::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &parameters)</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8h_source.html#l00088">dual_edge_norms.h:88</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_af507437729fd1e93677772e748ca1cfc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#af507437729fd1e93677772e748ca1cfc">operations_research::glop::DualEdgeNorms::NeedsBasisRefactorization</a></div><div class="ttdeci">bool NeedsBasisRefactorization() const</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8cc_source.html#l00025">dual_edge_norms.cc:25</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_dual_edge_norms_html_af9bc435481ae9e6e60d66a65d5394a7f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_dual_edge_norms.html#af9bc435481ae9e6e60d66a65d5394a7f">operations_research::glop::DualEdgeNorms::StatString</a></div><div class="ttdeci">std::string StatString() const</div><div class="ttdef"><b>Definition:</b> <a href="dual__edge__norms_8h_source.html#l00093">dual_edge_norms.h:93</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< ColIndex ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">operations_research::glop::StrictITIVector< RowIndex, Fractional ></a></div></div>
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<div class="ttc" id="acp__model__fz__solver_8cc_html_a10a1eab179b472c030bdc2a2efef7219"><div class="ttname"><a href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a></div><div class="ttdeci">SatParameters parameters</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__fz__solver_8cc_source.html#l00119">cp_model_fz_solver.cc:119</a></div></div>
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<div class="ttc" id="alp__data_2permutation_8h_html"><div class="ttname"><a href="lp__data_2permutation_8h.html">permutation.h</a></div></div>
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<div class="ttc" id="alp__data_8h_html"><div class="ttname"><a href="lp__data_8h.html">lp_data.h</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_ae5fa9e57c2d31b294195ed8a9e17bfac"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">operations_research::glop::DenseColumn</a></div><div class="ttdeci">StrictITIVector< RowIndex, Fractional > DenseColumn</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00332">lp_types.h:332</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">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="ascattered__vector_8h_html"><div class="ttname"><a href="scattered__vector_8h.html">scattered_vector.h</a></div></div>
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<div class="ttc" id="astats_8h_html"><div class="ttname"><a href="stats_8h.html">stats.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_column_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_column.html">operations_research::glop::ScatteredColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00195">scattered_vector.h:196</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_row_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_row.html">operations_research::glop::ScatteredRow</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00197">scattered_vector.h:197</a></div></div>
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<li class="navelem"><a class="el" href="dir_a7cc1eeded8f693d0da6c729bc88c45a.html">ortools</a></li><li class="navelem"><a class="el" href="dir_747248fa8ec2ebcb4d8ad85ced34db0b.html">glop</a></li><li class="navelem"><a class="el" href="dual__edge__norms_8h.html">dual_edge_norms.h</a></li>
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