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<div class="title">primal_edge_norms.h</div> </div>
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<a href="primal__edge__norms_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_GLOP_PRIMAL_EDGE_NORMS_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_GLOP_PRIMAL_EDGE_NORMS_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 "<a class="code" href="basis__representation_8h.html">ortools/glop/basis_representation.h</a>"</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="parameters_8pb_8h.html">ortools/glop/parameters.pb.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="update__row_8h.html">ortools/glop/update_row.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="variables__info_8h.html">ortools/glop/variables_info.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</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 name="l00022"></a><span class="lineno"> 22</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="l00023"></a><span class="lineno"> 23</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 name="l00024"></a><span class="lineno"> 24</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 name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</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="l00027"></a><span class="lineno"> 27</span> <span class="keyword">namespace </span>glop {</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// This class maintains the primal edge squared norms (and other variants) to be</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// used in the primal pricing step. Instead of computing the needed values from</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// scractch at each iteration, it is more efficient to update them incrementally</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// for each basis pivot applied to the simplex basis matrix B.</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">// Terminology:</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// - To each non-basic column 'a' of a matrix A, we can associate an "edge" in</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// the kernel of A equal to 1.0 on the index of 'a' and '-B^{-1}.a' on the</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// basic variables.</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// - 'B^{-1}.a' is called the "right inverse" of 'a'.</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// - The entering edge is the edge we are following during a simplex step,</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// and we call "direction" the reverse of this edge restricted to the</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// basic variables, i.e. the right inverse of the entering column.</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// Papers:</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// - D. Goldfarb, J.K. Reid, "A practicable steepest-edge simplex algorithm"</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// Mathematical Programming 12 (1977) 361-371, North-Holland.</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// http://www.springerlink.com/content/g8335137n3j16934/</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</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 name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// programming", Mathematical Programming 57 (1992) 341-374, North-Holland.</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// http://www.springerlink.com/content/q645w3t2q229m248/</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// - Ping-Qi Pan "A fast simplex algorithm for linear programming".</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// http://www.optimization-online.org/DB_FILE/2007/10/1805.pdf</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// - Ping-Qi Pan, "Efficient nested pricing in the simplex algorithm",</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// http://www.optimization-online.org/DB_FILE/2007/10/1810.pdf</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html"> 54</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html">PrimalEdgeNorms</a> {</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// Takes references to the linear program data we need. Note that we assume</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// that the matrix will never change in our back, but the other references are</span></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// supposed to reflect the correct state.</span></div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c">PrimalEdgeNorms</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>& compact_matrix,</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_variables_info.html">VariablesInfo</a>& variables_info,</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html">BasisFactorization</a>& basis_factorization);</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"> 63</span>  <span class="comment">// Clears, i.e. resets the object to its initial value. This will trigger</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// a recomputation for the next Get*() method call.</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</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">// If this is true, then the caller must re-factorize the basis before the</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// next call to GetEdgeSquaredNorms(). This is because the latter will</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</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 name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// and speed.</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#af507437729fd1e93677772e748ca1cfc">NeedsBasisRefactorization</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// Returns the primal edge squared norms. This is only valid if the caller</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="comment">// properly called UpdateBeforeBasisPivot() before each basis pivot, or if</span></div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// this is the first call to this function after a Clear(). Note that only the</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// relevant columns are filled.</span></div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f">GetEdgeSquaredNorms</a>();</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Returns an approximation of the edges norms "devex".</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// This is only valid if the caller properly called UpdateBeforeBasisPivot()</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// before each basis pivot, or if this is the first call to this function</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// after a Clear().</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428">GetDevexWeights</a>();</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// Returns the L2 norms of all the columns of A.</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="comment">// Note that this is currently not cleared by Clear().</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d">GetMatrixColumnNorms</a>();</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// Compares the current entering edge norm with its precise version (using the</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// direction that wasn't avaible before) and triggers a full recomputation if</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// the precision is not good enough (see recompute_edges_norm_threshold in</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">// GlopParameters). As a side effect, this replace the entering_col edge</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// norm with its precise version.</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3e807537a555d44d5e4a0da13f3768b">TestEnteringEdgeNormPrecision</a>(ColIndex entering_col,</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>& direction);</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">// Updates any internal data BEFORE the given simplex pivot is applied to B.</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// Note that no updates are needed in case of a bound flip.</span></div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// The arguments are in order:</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// - The index of the entering non-basic column of A.</span></div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// - The index in B of the leaving basic variable.</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// - The 'direction', i.e. the right inverse of the entering column.</span></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// - The update row (see UpdateRow), which will only be computed if needed.</span></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="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ac770d9d78b0dda3be3bacb43038170e0">UpdateBeforeBasisPivot</a>(ColIndex entering_col, ColIndex leaving_col,</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  RowIndex leaving_row,</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>& direction,</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="classoperations__research_1_1glop_1_1_update_row.html">UpdateRow</a>* update_row);</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">// Sets the algorithm parameters.</span></div>
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<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea"> 110</a></span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea">SetParameters</a>(<span class="keyword">const</span> GlopParameters& <a class="code" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>) {</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  parameters_ = <a class="code" href="cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219">parameters</a>;</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>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// Returns a string with statistics about this class.</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#af9bc435481ae9e6e60d66a65d5394a7f"> 115</a></span>  std::string <a class="code" href="classoperations__research_1_1glop_1_1_primal_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 name="l00116"></a><span class="lineno"> 116</span>  </div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// Deterministic time used by the scalar product computation of this class.</span></div>
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<div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aeccc8138b268e621d96d105e0ddd474a"> 118</a></span>  <span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aeccc8138b268e621d96d105e0ddd474a">DeterministicTime</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a25b69b7b46ff726b6412851d1455d777">DeterministicTimeForFpOperations</a>(num_operations_);</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="keyword">private</span>:</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">// Statistics about this class.</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">struct </span>Stats : <span class="keyword">public</span> <a class="code" href="classoperations__research_1_1_stats_group.html">StatsGroup</a> {</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  Stats()</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  : <a class="code" href="classoperations__research_1_1_stats_group.html">StatsGroup</a>(<span class="stringliteral">"PrimalEdgeNorms"</span>),</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  direction_left_inverse_density(<span class="stringliteral">"direction_left_inverse_density"</span>,</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  this),</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  direction_left_inverse_accuracy(<span class="stringliteral">"direction_left_inverse_accuracy"</span>,</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  this),</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  edges_norm_accuracy(<span class="stringliteral">"edges_norm_accuracy"</span>, this),</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  lower_bounded_norms(<span class="stringliteral">"lower_bounded_norms"</span>, this) {}</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="classoperations__research_1_1_ratio_distribution.html">RatioDistribution</a> direction_left_inverse_density;</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> direction_left_inverse_accuracy;</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> edges_norm_accuracy;</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="classoperations__research_1_1_integer_distribution.html">IntegerDistribution</a> lower_bounded_norms;</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  };</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="comment">// Recompute the matrix column L2 norms from scratch.</span></div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordtype">void</span> ComputeMatrixColumnNorms();</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>  <span class="comment">// Recompute the edge squared L2 norms from scratch.</span></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordtype">void</span> ComputeEdgeSquaredNorms();</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// Compute the left inverse of the direction.</span></div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// The first argument is there for checking precision.</span></div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordtype">void</span> ComputeDirectionLeftInverse(ColIndex entering_col,</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">const</span> ScatteredColumn& direction);</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="comment">// Updates edges_squared_norm_ according to the given pivot.</span></div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordtype">void</span> UpdateEdgeSquaredNorms(ColIndex entering_col, ColIndex leaving_col,</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  RowIndex leaving_row,</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a>& direction,</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">const</span> UpdateRow& update_row);</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="comment">// Resets all devex weights to 1.0 .</span></div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordtype">void</span> ResetDevexWeights();</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">// Updates devex_weights_ according to the given pivot.</span></div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">void</span> UpdateDevexWeights(ColIndex entering_col, ColIndex leaving_col,</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  RowIndex leaving_row, <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a>& direction,</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">const</span> UpdateRow& update_row);</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>  <span class="comment">// Problem data that should be updated from outside.</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keyword">const</span> CompactSparseMatrix& compact_matrix_;</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">const</span> VariablesInfo& variables_info_;</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">const</span> BasisFactorization& basis_factorization_;</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">// Internal data.</span></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  GlopParameters parameters_;</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  Stats stats_;</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="comment">// Booleans to control what happens on the next ChooseEnteringColumn() call.</span></div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordtype">bool</span> must_refactorize_basis_;</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordtype">bool</span> recompute_edge_squared_norms_;</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordtype">bool</span> reset_devex_weights_;</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// Norm^2 of the edges of the relevant columns of A.</span></div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> edge_squared_norms_;</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">// Norm of all the columns of A.</span></div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> matrix_column_norms_;</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="comment">// Approximation of edges norms "devex".</span></div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="comment">// Denoted by vector 'w' in Pin Qi Pan (1810.pdf section 1.1.4)</span></div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="comment">// At any time, devex_weights_ >= 1.0.</span></div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> devex_weights_;</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  </div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="comment">// Tracks number of updates of the devex weights since we have to reset</span></div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="comment">// them to 1.0 every now and then.</span></div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordtype">int</span> num_devex_updates_since_reset_;</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="comment">// Left inverse by B of the 'direction'. This is the transpose of 'v' in the</span></div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="comment">// steepest edge paper. Its scalar product with a column 'a' of A gives the</span></div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// value of the scalar product of the 'direction' with the right inverse of</span></div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="comment">// 'a'.</span></div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  ScatteredRow direction_left_inverse_;</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="comment">// Used by DeterministicTime().</span></div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a> num_operations_;</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  </div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  DISALLOW_COPY_AND_ASSIGN(<a class="code" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c">PrimalEdgeNorms</a>);</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> } <span class="comment">// namespace glop</span></div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  </div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_GLOP_PRIMAL_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_compact_sparse_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">operations_research::glop::CompactSparseMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00288">sparse.h:288</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html">operations_research::glop::PrimalEdgeNorms</a></div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00054">primal_edge_norms.h:54</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a41fd24e395f2e06f7d702da9fba3ec3c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c">operations_research::glop::PrimalEdgeNorms::PrimalEdgeNorms</a></div><div class="ttdeci">PrimalEdgeNorms(const CompactSparseMatrix &compact_matrix, const VariablesInfo &variables_info, const BasisFactorization &basis_factorization)</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00022">primal_edge_norms.cc:22</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a551ee6b517f861e2ad7557e092a9860d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d">operations_research::glop::PrimalEdgeNorms::GetMatrixColumnNorms</a></div><div class="ttdeci">const DenseRow & GetMatrixColumnNorms()</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00057">primal_edge_norms.cc:57</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a67a5105630385abc274872ab7a28e70f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f">operations_research::glop::PrimalEdgeNorms::GetEdgeSquaredNorms</a></div><div class="ttdeci">const DenseRow & GetEdgeSquaredNorms()</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00047">primal_edge_norms.cc:47</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a6f599ec9c50fc8a7421f98203a06a428"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428">operations_research::glop::PrimalEdgeNorms::GetDevexWeights</a></div><div class="ttdeci">const DenseRow & GetDevexWeights()</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00052">primal_edge_norms.cc:52</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::PrimalEdgeNorms::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00037">primal_edge_norms.cc:37</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_ac770d9d78b0dda3be3bacb43038170e0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ac770d9d78b0dda3be3bacb43038170e0">operations_research::glop::PrimalEdgeNorms::UpdateBeforeBasisPivot</a></div><div class="ttdeci">void UpdateBeforeBasisPivot(ColIndex entering_col, ColIndex leaving_col, RowIndex leaving_row, const ScatteredColumn &direction, UpdateRow *update_row)</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00086">primal_edge_norms.cc:86</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_ad3e807537a555d44d5e4a0da13f3768b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3e807537a555d44d5e4a0da13f3768b">operations_research::glop::PrimalEdgeNorms::TestEnteringEdgeNormPrecision</a></div><div class="ttdeci">void TestEnteringEdgeNormPrecision(ColIndex entering_col, const ScatteredColumn &direction)</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00062">primal_edge_norms.cc:62</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::PrimalEdgeNorms::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &parameters)</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00110">primal_edge_norms.h:110</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_aeccc8138b268e621d96d105e0ddd474a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aeccc8138b268e621d96d105e0ddd474a">operations_research::glop::PrimalEdgeNorms::DeterministicTime</a></div><div class="ttdeci">double DeterministicTime() const</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00118">primal_edge_norms.h:118</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_af507437729fd1e93677772e748ca1cfc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#af507437729fd1e93677772e748ca1cfc">operations_research::glop::PrimalEdgeNorms::NeedsBasisRefactorization</a></div><div class="ttdeci">bool NeedsBasisRefactorization() const</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00043">primal_edge_norms.cc:43</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_af9bc435481ae9e6e60d66a65d5394a7f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#af9bc435481ae9e6e60d66a65d5394a7f">operations_research::glop::PrimalEdgeNorms::StatString</a></div><div class="ttdeci">std::string StatString() const</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00115">primal_edge_norms.h:115</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< ColIndex, Fractional ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_update_row_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_update_row.html">operations_research::glop::UpdateRow</a></div><div class="ttdef"><b>Definition:</b> <a href="update__row_8h_source.html#l00038">update_row.h:38</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html">operations_research::glop::VariablesInfo</a></div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00029">variables_info.h:29</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#l00108">cp_model_fz_solver.cc:108</a></div></div>
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<div class="ttc" id="aintegral__types_8h_html_a7cde0074dfd288f2d70c0e035dacb28a"><div class="ttname"><a href="integral__types_8h.html#a7cde0074dfd288f2d70c0e035dacb28a">int64</a></div><div class="ttdeci">int64_t int64</div><div class="ttdef"><b>Definition:</b> <a href="integral__types_8h_source.html#l00034">integral_types.h:34</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_a25b69b7b46ff726b6412851d1455d777"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a25b69b7b46ff726b6412851d1455d777">operations_research::glop::DeterministicTimeForFpOperations</a></div><div class="ttdeci">static double DeterministicTimeForFpOperations(int64 n)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00379">lp_types.h:379</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a4dc8ae0f97c4110f3cc770715b2bbd12"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">operations_research::glop::DenseRow</a></div><div class="ttdeci">StrictITIVector< ColIndex, Fractional > DenseRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00299">lp_types.h:299</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#l00328">lp_types.h:328</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="aparameters_8pb_8h_html"><div class="ttname"><a href="parameters_8pb_8h.html">parameters.pb.h</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#l00190">scattered_vector.h:191</a></div></div>
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<div class="ttc" id="aupdate__row_8h_html"><div class="ttname"><a href="update__row_8h.html">update_row.h</a></div></div>
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<div class="ttc" id="avariables__info_8h_html"><div class="ttname"><a href="variables__info_8h.html">variables_info.h</a></div></div>
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