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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 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_PRIMAL_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_PRIMAL_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 <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</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="basis__representation_8h.html">ortools/glop/basis_representation.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 "ortools/glop/parameters.pb.h"</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="update__row_8h.html">ortools/glop/update_row.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="variables__info_8h.html">ortools/glop/variables_info.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="lp__data_8h.html">ortools/lp_data/lp_data.h</a>"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</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="l00025" name="l00025"></a><span class="lineno"> 25</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="l00026" name="l00026"></a><span class="lineno"> 26</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="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="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="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span>glop {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</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 id="l00032" name="l00032"></a><span class="lineno"> 32</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 id="l00033" name="l00033"></a><span class="lineno"> 33</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 id="l00034" name="l00034"></a><span class="lineno"> 34</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 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">// Terminology:</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</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 id="l00038" name="l00038"></a><span class="lineno"> 38</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 id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">// basic variables.</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// - 'B^{-1}.a' is called the "right inverse" of 'a'.</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</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 id="l00042" name="l00042"></a><span class="lineno"> 42</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 id="l00043" name="l00043"></a><span class="lineno"> 43</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 id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">//</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">// Papers:</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</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 id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">// Mathematical Programming 12 (1977) 361-371, North-Holland.</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">// http://www.springerlink.com/content/g8335137n3j16934/</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</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="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// programming", Mathematical Programming 57 (1992) 341-374, North-Holland.</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">// http://www.springerlink.com/content/q645w3t2q229m248/</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">// - Ping-Qi Pan "A fast simplex algorithm for linear programming".</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</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 id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment">// - Ping-Qi Pan, "Efficient nested pricing in the simplex algorithm",</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</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 id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html"> 56</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html">PrimalEdgeNorms</a> {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</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 id="l00059" name="l00059"></a><span class="lineno"> 59</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 id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// supposed to reflect the correct state.</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c">PrimalEdgeNorms</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>& compact_matrix,</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_variables_info.html">VariablesInfo</a>& variables_info,</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <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="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</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 id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// a recomputation for the next Get*() method call.</span></div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</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">// 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="l00070" name="l00070"></a><span class="lineno"> 70</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="l00071" name="l00071"></a><span class="lineno"> 71</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="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// and speed.</span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordtype">bool</span> <a class="code hl_function" 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 id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// Depending on the SetPricingRule(), this returns one of the "norms" vector</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// below. Note that all norms are squared.</span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a11b5738482346b103919cf0e6481c977">GetSquaredNorms</a>();</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</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 id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// properly called UpdateBeforeBasisPivot() before each basis pivot, or if</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</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 id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// relevant columns are filled.</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a67a5105630385abc274872ab7a28e70f">GetEdgeSquaredNorms</a>();</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// Returns an approximation of the edges norms "devex".</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// This is only valid if the caller properly called UpdateBeforeBasisPivot()</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</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 id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// after a Clear().</span></div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a6f599ec9c50fc8a7421f98203a06a428">GetDevexWeights</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> <span class="comment">// Returns the L2 norms of all the columns of A.</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Note that this is currently not cleared by Clear().</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>& <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a551ee6b517f861e2ad7557e092a9860d">GetMatrixColumnNorms</a>();</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="comment">// Compares the current entering edge norm with its precise version (using the</span></div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</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 id="l00097" name="l00097"></a><span class="lineno"> 97</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 id="l00098" name="l00098"></a><span class="lineno"> 98</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 id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// norm with its precise version.</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordtype">void</span> <a class="code hl_function" 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 id="l00101" name="l00101"></a><span class="lineno"> 101</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="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</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 id="l00104" name="l00104"></a><span class="lineno"> 104</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 id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// The arguments are in order:</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// - The index of the entering non-basic column of A.</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// - The index in B of the leaving basic variable.</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</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 id="l00109" name="l00109"></a><span class="lineno"> 109</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 id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">void</span> <a class="code hl_function" 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 id="l00111" name="l00111"></a><span class="lineno"> 111</span> RowIndex leaving_row,</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</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="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_update_row.html">UpdateRow</a>* update_row);</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// Sets the algorithm parameters.</span></div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ae7202d055b6b172a8a1da4f5b136f9ea"> 116</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_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="l00117" name="l00117"></a><span class="lineno"> 117</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="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// This changes what GetSquaredNorms() returns.</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3a8fd026015306e23a8ed6889b48f18"> 121</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3a8fd026015306e23a8ed6889b48f18">SetPricingRule</a>(GlopParameters::PricingRule rule) {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> pricing_rule_ = rule;</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> </div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// Registers a boolean that will be set to true each time the norms are or</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// will be recomputed. This allows anyone that depends on this to know that it</span></div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="comment">// cannot just assume an incremental changes and needs to updates its data.</span></div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// Important: UpdateBeforeBasisPivot() will not trigger this.</span></div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a241d43fe7b6c19b4705e688db918fea7"> 129</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a241d43fe7b6c19b4705e688db918fea7">AddRecomputationWatcher</a>(<span class="keywordtype">bool</span>* watcher) { watchers_.push_back(watcher); }</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> </div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// Returns a string with statistics about this class.</span></div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#af9bc435481ae9e6e60d66a65d5394a7f"> 132</a></span> std::string <a class="code hl_function" 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 id="l00133" name="l00133"></a><span class="lineno"> 133</span> </div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</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 id="l00135" name="l00135"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#aeccc8138b268e621d96d105e0ddd474a"> 135</a></span> <span class="keywordtype">double</span> <a class="code hl_function" 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 id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923">DeterministicTimeForFpOperations</a>(num_operations_);</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> }</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// Statistics about this class.</span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</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="l00142" name="l00142"></a><span class="lineno"> 142</span> Stats()</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> : <a class="code hl_class" href="classoperations__research_1_1_stats_group.html">StatsGroup</a>(<span class="stringliteral">"PrimalEdgeNorms"</span>),</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> direction_left_inverse_density(<span class="stringliteral">"direction_left_inverse_density"</span>,</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> this),</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> direction_left_inverse_accuracy(<span class="stringliteral">"direction_left_inverse_accuracy"</span>,</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> this),</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> edges_norm_accuracy(<span class="stringliteral">"edges_norm_accuracy"</span>, this),</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> lower_bounded_norms(<span class="stringliteral">"lower_bounded_norms"</span>, this) {}</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <a class="code hl_class" href="classoperations__research_1_1_ratio_distribution.html">RatioDistribution</a> direction_left_inverse_density;</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_class" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> direction_left_inverse_accuracy;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_class" href="classoperations__research_1_1_double_distribution.html">DoubleDistribution</a> edges_norm_accuracy;</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</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="l00154" name="l00154"></a><span class="lineno"> 154</span> };</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> </div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="comment">// Recompute the matrix column L2 norms from scratch.</span></div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">void</span> ComputeMatrixColumnNorms();</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> </div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="comment">// Recompute the edge squared L2 norms from scratch.</span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordtype">void</span> ComputeEdgeSquaredNorms();</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">// Compute the left inverse of the direction.</span></div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// The first argument is there for checking precision.</span></div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordtype">void</span> ComputeDirectionLeftInverse(ColIndex entering_col,</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keyword">const</span> ScatteredColumn& direction);</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// Updates edges_squared_norm_ according to the given pivot.</span></div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordtype">void</span> UpdateEdgeSquaredNorms(ColIndex entering_col, ColIndex leaving_col,</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> RowIndex leaving_row,</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a>& direction,</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">const</span> UpdateRow& update_row);</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> </div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// Resets all devex weights to 1.0 .</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordtype">void</span> ResetDevexWeights();</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="comment">// Updates devex_weights_ according to the given pivot.</span></div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordtype">void</span> UpdateDevexWeights(ColIndex entering_col, ColIndex leaving_col,</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> RowIndex leaving_row, <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a>& direction,</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keyword">const</span> UpdateRow& update_row);</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// Problem data that should be updated from outside.</span></div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">const</span> CompactSparseMatrix& compact_matrix_;</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keyword">const</span> VariablesInfo& variables_info_;</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">const</span> BasisFactorization& basis_factorization_;</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> </div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// Internal data.</span></div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> GlopParameters parameters_;</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> GlopParameters::PricingRule pricing_rule_ = GlopParameters::DANTZIG;</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> Stats stats_;</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> </div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// Booleans to control what happens on the next ChooseEnteringColumn() call.</span></div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordtype">bool</span> must_refactorize_basis_;</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordtype">bool</span> recompute_edge_squared_norms_;</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordtype">bool</span> reset_devex_weights_;</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> </div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</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 id="l00197" name="l00197"></a><span class="lineno"> 197</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> edge_squared_norms_;</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// Norm of all the columns of A.</span></div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> matrix_column_norms_;</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// Approximation of edges norms "devex".</span></div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</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 id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// At any time, devex_weights_ >= 1.0.</span></div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a> devex_weights_;</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</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 id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// them to 1.0 every now and then.</span></div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordtype">int</span> num_devex_updates_since_reset_;</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</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 id="l00212" name="l00212"></a><span class="lineno"> 212</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 id="l00213" name="l00213"></a><span class="lineno"> 213</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 id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// 'a'.</span></div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> ScatteredRow direction_left_inverse_;</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// Used by DeterministicTime().</span></div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> int64_t num_operations_;</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> </div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// Boolean(s) to set to false when the norms are changed outside of the</span></div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="comment">// UpdateBeforeBasisPivot() function.</span></div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> std::vector<bool*> watchers_;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_function" href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a41fd24e395f2e06f7d702da9fba3ec3c">PrimalEdgeNorms</a>);</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span>};</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span>} <span class="comment">// namespace glop</span></div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</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#l00289">sparse.h:289</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#l00056">primal_edge_norms.h:56</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a11b5738482346b103919cf0e6481c977"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a11b5738482346b103919cf0e6481c977">operations_research::glop::PrimalEdgeNorms::GetSquaredNorms</a></div><div class="ttdeci">const DenseRow & GetSquaredNorms()</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8cc_source.html#l00049">primal_edge_norms.cc:49</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_a241d43fe7b6c19b4705e688db918fea7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#a241d43fe7b6c19b4705e688db918fea7">operations_research::glop::PrimalEdgeNorms::AddRecomputationWatcher</a></div><div class="ttdeci">void AddRecomputationWatcher(bool *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00129">primal_edge_norms.h:129</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#l00070">primal_edge_norms.cc:70</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#l00060">primal_edge_norms.cc:60</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#l00065">primal_edge_norms.cc:65</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#l00100">primal_edge_norms.cc:100</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_primal_edge_norms_html_ad3a8fd026015306e23a8ed6889b48f18"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_primal_edge_norms.html#ad3a8fd026015306e23a8ed6889b48f18">operations_research::glop::PrimalEdgeNorms::SetPricingRule</a></div><div class="ttdeci">void SetPricingRule(GlopParameters::PricingRule rule)</div><div class="ttdef"><b>Definition:</b> <a href="primal__edge__norms_8h_source.html#l00121">primal_edge_norms.h:121</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#l00075">primal_edge_norms.cc:75</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#l00116">primal_edge_norms.h:116</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#l00135">primal_edge_norms.h:135</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#l00044">primal_edge_norms.cc:44</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#l00132">primal_edge_norms.h:132</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#l00040">update_row.h:40</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#l00055">variables_info.h:55</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_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_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#l00303">lp_types.h:303</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_1_1glop_html_aedb714d776d86539dbb9f42ae5d7d923"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923">operations_research::glop::DeterministicTimeForFpOperations</a></div><div class="ttdeci">static double DeterministicTimeForFpOperations(int64_t n)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00383">lp_types.h:383</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="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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