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<a href="rank__one__update_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>
<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 &quot;License&quot;);</span></div>
<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>
<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>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<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>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<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>
<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 &quot;AS IS&quot; BASIS,</span></div>
<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>
<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>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_GLOP_RANK_ONE_UPDATE_H_</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_GLOP_RANK_ONE_UPDATE_H_</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &quot;<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>&quot;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &quot;<a class="code" href="lp__data_2lp__utils_8h.html">ortools/lp_data/lp_utils.h</a>&quot;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;<a class="code" href="scattered__vector_8h.html">ortools/lp_data/scattered_vector.h</a>&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;<a class="code" href="sparse_8h.html">ortools/lp_data/sparse.h</a>&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="keyword">namespace </span>glop {</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment">// This class holds a matrix of the form T = I + u.Tr(v) where I is the</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment">// identity matrix and u and v are two column vectors of the same size as I. It</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">// allows for efficient left and right solves with T. When T is non-singular,</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">// it is easy to show that T^{-1} = I - 1 / mu * u.Tr(v) where</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// mu = 1.0 + Tr(v).u</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">//</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// Note that when v is a unit vector, T is a regular Eta matrix and when u</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// is a unit vector, T is a row-wise Eta matrix.</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">//</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">// This is based on section 3.1 of:</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment">// Qi Huangfu, J. A. Julian Hall, &quot;Novel update techniques for the revised</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">// simplex method&quot;, 28 january 2013, Technical Report ERGO-13-0001</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html"> 38</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html">RankOneUpdateElementaryMatrix</a> {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// Rather than copying the vectors u and v, RankOneUpdateElementaryMatrix</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// takes two columns of a provided CompactSparseMatrix which is used for</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// storage. This has a couple of advantages, especially in the context of the</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// RankOneUpdateFactorization below:</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// - It uses less overall memory (and avoid allocation overhead).</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// - It has a better cache behavior for the RankOneUpdateFactorization solves.</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a566dd7c5c7561c3cbc9241ebeddc094a"> 46</a></span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a566dd7c5c7561c3cbc9241ebeddc094a">RankOneUpdateElementaryMatrix</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>* storage,</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> ColIndex u_index, ColIndex v_index,</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> u_dot_v)</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> : storage_(storage),</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> u_index_(u_index),</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> v_index_(v_index),</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> mu_(1.0 + u_dot_v) {}</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// Returns whether or not this matrix is singular.</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// Note that the RightSolve() and LeftSolve() function will fail if this is</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// the case.</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5"> 57</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5">IsSingular</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> mu_ == 0.0; }</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// Solves T.x = rhs with rhs initialy in x (a column vector).</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// The non-zeros version keeps track of the new non-zeros.</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6ec53ed3afa3d8affb6941568dcfec76"> 61</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6ec53ed3afa3d8affb6941568dcfec76">RightSolve</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* x)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5">IsSingular</a>());</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier =</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> -storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(v_index_, <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(*x)) / mu_;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aea0e9a84b41c95c874f171cae97cf31b">ColumnAddMultipleToDenseColumn</a>(u_index_, multiplier, x);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> }</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a86c372c611d33fb12aa3cd4a40880272"> 67</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a86c372c611d33fb12aa3cd4a40880272">RightSolveWithNonZeros</a>(<a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>* x)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5">IsSingular</a>());</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier =</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> -storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(v_index_, <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(x-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>)) / mu_;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordflow">if</span> (multiplier != 0.0) {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a6e49e4127a33039fcccc6e50380faefa">ColumnAddMultipleToSparseScatteredColumn</a>(u_index_, multiplier,</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> x);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// Solves y.T = rhs with rhs initialy in y (a row vector).</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// The non-zeros version keeps track of the new non-zeros.</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6b5f31c4068711b8e6823f4888f410ce"> 79</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6b5f31c4068711b8e6823f4888f410ce">LeftSolve</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5">IsSingular</a>());</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier =</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> -storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(u_index_, *y) / mu_;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aea0e9a84b41c95c874f171cae97cf31b">ColumnAddMultipleToDenseColumn</a>(v_index_, multiplier,</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">reinterpret_cast&lt;</span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>*<span class="keyword">&gt;</span>(y));</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6d91289298bf5d7a417105e06d8d1c46"> 86</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6d91289298bf5d7a417105e06d8d1c46">LeftSolveWithNonZeros</a>(<a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5">IsSingular</a>());</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier =</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> -storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(u_index_, y-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>) / mu_;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">if</span> (multiplier != 0.0) {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a6e49e4127a33039fcccc6e50380faefa">ColumnAddMultipleToSparseScatteredColumn</a>(</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> v_index_, multiplier, <span class="keyword">reinterpret_cast&lt;</span><a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>*<span class="keyword">&gt;</span>(y));</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> }</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// Computes T.x for a given column vector.</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a2b9b2400ca71e53418ea88cff62d51ce"> 97</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a2b9b2400ca71e53418ea88cff62d51ce">RightMultiply</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* x)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier =</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(v_index_, <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(*x));</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aea0e9a84b41c95c874f171cae97cf31b">ColumnAddMultipleToDenseColumn</a>(u_index_, multiplier, x);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// Computes y.T for a given row vector.</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a7409cd7e117d8f29d230729f73a7ed85"> 104</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a7409cd7e117d8f29d230729f73a7ed85">LeftMultiply</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> multiplier = storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(u_index_, *y);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aea0e9a84b41c95c874f171cae97cf31b">ColumnAddMultipleToDenseColumn</a>(v_index_, multiplier,</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">reinterpret_cast&lt;</span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>*<span class="keyword">&gt;</span>(y));</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#af69d9b7065a8f31604a8134be4307749"> 110</a></span> EntryIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(u_index_).<a class="code hl_function" href="classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>() +</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(v_index_).<a class="code hl_function" href="classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>();</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// This is only used in debug mode.</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> ComputeUScalarV()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> dense_u;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a28058c5e9ff6638ea1ea210b49a4e7bc">ColumnCopyToDenseColumn</a>(u_index_, &amp;dense_u);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">return</span> storage_-&gt;<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(v_index_, <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(dense_u));</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> }</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// Note that we allow copy and assignment so we can store a</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// RankOneUpdateElementaryMatrix in an STL container.</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">const</span> CompactSparseMatrix* storage_;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> ColIndex u_index_;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> ColIndex v_index_;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> mu_;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span>};</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="comment">// A rank one update factorization corresponds to the product of k rank one</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span><span class="comment">// update elementary matrices, i.e. T = T_0.T_1. ... .T_{k-1}</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html"> 133</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html">RankOneUpdateFactorization</a> {</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">// TODO(user): make the 5% a parameter and share it between all the places</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// that switch between a sparse/dense version.</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#afc72b7ff4d8f711d0e87fcc9fafa9b59"> 137</a></span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#afc72b7ff4d8f711d0e87fcc9fafa9b59">RankOneUpdateFactorization</a>() : hypersparse_ratio_(0.05) {}</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="comment">// This is currently only visible for testing.</span></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#afcf383b6d3353520f4c1dabf0d16eca1"> 140</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#afcf383b6d3353520f4c1dabf0d16eca1">set_hypersparse_ratio</a>(<span class="keywordtype">double</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) { hypersparse_ratio_ = <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>; }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// Deletes all elementary matrices of this factorization.</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aa71d36872f416feaa853788a7a7a7ef8"> 143</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>() {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> elementary_matrices_.clear();</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> num_entries_ = 0;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// Updates the factorization.</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aed839e3b52e966f415f4f289701c51af"> 149</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aed839e3b52e966f415f4f289701c51af">Update</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html">RankOneUpdateElementaryMatrix</a>&amp; update_matrix) {</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> elementary_matrices_.push_back(update_matrix);</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> num_entries_ += update_matrix.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>();</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> }</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// Left-solves all systems from right to left, i.e. y_i = y_{i+1}.(T_i)^{-1}</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6b5f31c4068711b8e6823f4888f410ce"> 155</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">LeftSolve</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_define" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = elementary_matrices_.size() - 1; i &gt;= 0; --i) {</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> elementary_matrices_[i].LeftSolve(y);</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> }</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> dtime_ += <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923">DeterministicTimeForFpOperations</a>(num_entries_.value());</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// Same as LeftSolve(), but if the given non_zeros are not empty, then all</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// the new non-zeros in the result are appended to it.</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6d91289298bf5d7a417105e06d8d1c46"> 165</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6d91289298bf5d7a417105e06d8d1c46">LeftSolveWithNonZeros</a>(<a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <a class="code hl_define" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">if</span> (y-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.empty()) {</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">LeftSolve</a>(&amp;y-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> }</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// y-&gt;is_non_zero is always all false before and after this code.</span></div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a66f88d7a4bcc601c81b7d694bcfae840">IsAllFalse</a>(y-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac194aeeb3d13767546d461312169d86f">is_non_zero</a>));</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> y-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a582acb7e40cf171c7f0ab27aacd67823">RepopulateSparseMask</a>();</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordtype">bool</span> use_dense = y-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a73934bd40690bdc3cbe36d6fbb0ecad5">ShouldUseDenseIteration</a>(hypersparse_ratio_);</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = elementary_matrices_.size() - 1; i &gt;= 0; --i) {</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">if</span> (use_dense) {</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> elementary_matrices_[i].LeftSolve(&amp;y-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> elementary_matrices_[i].LeftSolveWithNonZeros(y);</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> use_dense = y-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a73934bd40690bdc3cbe36d6fbb0ecad5">ShouldUseDenseIteration</a>(hypersparse_ratio_);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> }</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> }</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> y-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a824e6b41b839a9f0ce98b10d3b84046d">ClearSparseMask</a>();</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> y-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#aa01dd1032c527cbadf34ea39a02f799e">ClearNonZerosIfTooDense</a>(hypersparse_ratio_);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> dtime_ += <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923">DeterministicTimeForFpOperations</a>(num_entries_.value());</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// Right-solves all systems from left to right, i.e. T_i.d_{i+1} = d_i</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a3cb026dc900190c13b208d24134755ed"> 190</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a3cb026dc900190c13b208d24134755ed">RightSolve</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* d)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_define" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(d);</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a> = elementary_matrices_.size();</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a>; ++i) {</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> elementary_matrices_[i].RightSolve(d);</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> }</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> dtime_ += <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923">DeterministicTimeForFpOperations</a>(num_entries_.value());</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> }</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// Same as RightSolve(), but if the given non_zeros are not empty, then all</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// the new non-zeros in the result are appended to it.</span></div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a0a02835bcd8b006bdc16cda3a72cd02a"> 201</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a0a02835bcd8b006bdc16cda3a72cd02a">RightSolveWithNonZeros</a>(<a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>* d)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <a class="code hl_define" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(d);</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">if</span> (d-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.empty()) {</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a3cb026dc900190c13b208d24134755ed">RightSolve</a>(&amp;d-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> }</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// d-&gt;is_non_zero is always all false before and after this code.</span></div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a66f88d7a4bcc601c81b7d694bcfae840">IsAllFalse</a>(d-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac194aeeb3d13767546d461312169d86f">is_non_zero</a>));</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> d-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a582acb7e40cf171c7f0ab27aacd67823">RepopulateSparseMask</a>();</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordtype">bool</span> use_dense = d-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a73934bd40690bdc3cbe36d6fbb0ecad5">ShouldUseDenseIteration</a>(hypersparse_ratio_);</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a> = elementary_matrices_.size();</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a>; ++i) {</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordflow">if</span> (use_dense) {</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> elementary_matrices_[i].RightSolve(&amp;d-&gt;<a class="code hl_variable" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> elementary_matrices_[i].RightSolveWithNonZeros(d);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> use_dense = d-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a73934bd40690bdc3cbe36d6fbb0ecad5">ShouldUseDenseIteration</a>(hypersparse_ratio_);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> d-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a824e6b41b839a9f0ce98b10d3b84046d">ClearSparseMask</a>();</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> d-&gt;<a class="code hl_function" href="structoperations__research_1_1glop_1_1_scattered_vector.html#aa01dd1032c527cbadf34ea39a02f799e">ClearNonZerosIfTooDense</a>(hypersparse_ratio_);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> dtime_ += <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#aedb714d776d86539dbb9f42ae5d7d923">DeterministicTimeForFpOperations</a>(num_entries_.value());</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> }</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#af69d9b7065a8f31604a8134be4307749"> 226</a></span> EntryIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_entries_; }</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="comment">// Deterministic time spent in all the solves function since last reset.</span></div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="comment">//</span></div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// TODO(user): This is quite precise. However we overcount a bit, because in</span></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="comment">// each elementary solves, if the scalar product involved is zero, we skip</span></div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="comment">// some of the operations counted here. Is it worth spending a bit more time</span></div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="comment">// to be more precise here?</span></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#add6b4ac60241ef3e018ad1157e329949"> 234</a></span> <span class="keywordtype">double</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#add6b4ac60241ef3e018ad1157e329949">DeterministicTimeSinceLastReset</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> dtime_; }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#ac336bdc1a5faa992e9c015387a53b0b9"> 235</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#ac336bdc1a5faa992e9c015387a53b0b9">ResetDeterministicTime</a>() { dtime_ = 0.0; }</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keyword">mutable</span> <span class="keywordtype">double</span> dtime_ = 0.0;</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordtype">double</span> hypersparse_ratio_;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> EntryIndex num_entries_;</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> std::vector&lt;RankOneUpdateElementaryMatrix&gt; elementary_matrices_;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html">RankOneUpdateFactorization</a>);</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span>};</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span>} <span class="comment">// namespace glop</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_GLOP_RANK_ONE_UPDATE_H_</span></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_column_view_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::ColumnView::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00082">sparse_column.h:82</a></div></div>
<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>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a28058c5e9ff6638ea1ea210b49a4e7bc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a28058c5e9ff6638ea1ea210b49a4e7bc">operations_research::glop::CompactSparseMatrix::ColumnCopyToDenseColumn</a></div><div class="ttdeci">void ColumnCopyToDenseColumn(ColIndex col, DenseColumn *dense_column) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00423">sparse.h:423</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a6e49e4127a33039fcccc6e50380faefa"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a6e49e4127a33039fcccc6e50380faefa">operations_research::glop::CompactSparseMatrix::ColumnAddMultipleToSparseScatteredColumn</a></div><div class="ttdeci">void ColumnAddMultipleToSparseScatteredColumn(ColIndex col, Fractional multiplier, ScatteredColumn *column) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00410">sparse.h:410</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_abdd940ad64b555052b33e763b80aea26"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">operations_research::glop::CompactSparseMatrix::ColumnScalarProduct</a></div><div class="ttdeci">Fractional ColumnScalarProduct(ColIndex col, const DenseRow &amp;vector) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00387">sparse.h:387</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_aea0e9a84b41c95c874f171cae97cf31b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aea0e9a84b41c95c874f171cae97cf31b">operations_research::glop::CompactSparseMatrix::ColumnAddMultipleToDenseColumn</a></div><div class="ttdeci">void ColumnAddMultipleToDenseColumn(ColIndex col, Fractional multiplier, DenseColumn *dense_column) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00398">sparse.h:398</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_afbe7c81d6b4066bf7874299a0f7c0d59"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">operations_research::glop::CompactSparseMatrix::column</a></div><div class="ttdeci">ColumnView column(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00369">sparse.h:369</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html">operations_research::glop::RankOneUpdateElementaryMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00038">rank_one_update.h:38</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a2b9b2400ca71e53418ea88cff62d51ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a2b9b2400ca71e53418ea88cff62d51ce">operations_research::glop::RankOneUpdateElementaryMatrix::RightMultiply</a></div><div class="ttdeci">void RightMultiply(DenseColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00097">rank_one_update.h:97</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a566dd7c5c7561c3cbc9241ebeddc094a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a566dd7c5c7561c3cbc9241ebeddc094a">operations_research::glop::RankOneUpdateElementaryMatrix::RankOneUpdateElementaryMatrix</a></div><div class="ttdeci">RankOneUpdateElementaryMatrix(const CompactSparseMatrix *storage, ColIndex u_index, ColIndex v_index, Fractional u_dot_v)</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00046">rank_one_update.h:46</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a6b5f31c4068711b8e6823f4888f410ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6b5f31c4068711b8e6823f4888f410ce">operations_research::glop::RankOneUpdateElementaryMatrix::LeftSolve</a></div><div class="ttdeci">void LeftSolve(DenseRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00079">rank_one_update.h:79</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a6d91289298bf5d7a417105e06d8d1c46"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6d91289298bf5d7a417105e06d8d1c46">operations_research::glop::RankOneUpdateElementaryMatrix::LeftSolveWithNonZeros</a></div><div class="ttdeci">void LeftSolveWithNonZeros(ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00086">rank_one_update.h:86</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a6ec53ed3afa3d8affb6941568dcfec76"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a6ec53ed3afa3d8affb6941568dcfec76">operations_research::glop::RankOneUpdateElementaryMatrix::RightSolve</a></div><div class="ttdeci">void RightSolve(DenseColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00061">rank_one_update.h:61</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a7409cd7e117d8f29d230729f73a7ed85"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a7409cd7e117d8f29d230729f73a7ed85">operations_research::glop::RankOneUpdateElementaryMatrix::LeftMultiply</a></div><div class="ttdeci">void LeftMultiply(DenseRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00104">rank_one_update.h:104</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a781425f29dc41d37c7d5f52dbd60bba5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a781425f29dc41d37c7d5f52dbd60bba5">operations_research::glop::RankOneUpdateElementaryMatrix::IsSingular</a></div><div class="ttdeci">bool IsSingular() const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00057">rank_one_update.h:57</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_a86c372c611d33fb12aa3cd4a40880272"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#a86c372c611d33fb12aa3cd4a40880272">operations_research::glop::RankOneUpdateElementaryMatrix::RightSolveWithNonZeros</a></div><div class="ttdeci">void RightSolveWithNonZeros(ScatteredColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00067">rank_one_update.h:67</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_elementary_matrix.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::RankOneUpdateElementaryMatrix::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00110">rank_one_update.h:110</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html">operations_research::glop::RankOneUpdateFactorization</a></div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00133">rank_one_update.h:133</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_a0a02835bcd8b006bdc16cda3a72cd02a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a0a02835bcd8b006bdc16cda3a72cd02a">operations_research::glop::RankOneUpdateFactorization::RightSolveWithNonZeros</a></div><div class="ttdeci">void RightSolveWithNonZeros(ScatteredColumn *d) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00201">rank_one_update.h:201</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_a3cb026dc900190c13b208d24134755ed"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a3cb026dc900190c13b208d24134755ed">operations_research::glop::RankOneUpdateFactorization::RightSolve</a></div><div class="ttdeci">void RightSolve(DenseColumn *d) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00190">rank_one_update.h:190</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_a6b5f31c4068711b8e6823f4888f410ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">operations_research::glop::RankOneUpdateFactorization::LeftSolve</a></div><div class="ttdeci">void LeftSolve(DenseRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00155">rank_one_update.h:155</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_a6d91289298bf5d7a417105e06d8d1c46"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6d91289298bf5d7a417105e06d8d1c46">operations_research::glop::RankOneUpdateFactorization::LeftSolveWithNonZeros</a></div><div class="ttdeci">void LeftSolveWithNonZeros(ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00165">rank_one_update.h:165</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::RankOneUpdateFactorization::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00143">rank_one_update.h:143</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_ac336bdc1a5faa992e9c015387a53b0b9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#ac336bdc1a5faa992e9c015387a53b0b9">operations_research::glop::RankOneUpdateFactorization::ResetDeterministicTime</a></div><div class="ttdeci">void ResetDeterministicTime()</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00235">rank_one_update.h:235</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_add6b4ac60241ef3e018ad1157e329949"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#add6b4ac60241ef3e018ad1157e329949">operations_research::glop::RankOneUpdateFactorization::DeterministicTimeSinceLastReset</a></div><div class="ttdeci">double DeterministicTimeSinceLastReset() const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00234">rank_one_update.h:234</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_aed839e3b52e966f415f4f289701c51af"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aed839e3b52e966f415f4f289701c51af">operations_research::glop::RankOneUpdateFactorization::Update</a></div><div class="ttdeci">void Update(const RankOneUpdateElementaryMatrix &amp;update_matrix)</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00149">rank_one_update.h:149</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::RankOneUpdateFactorization::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00226">rank_one_update.h:226</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_afc72b7ff4d8f711d0e87fcc9fafa9b59"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#afc72b7ff4d8f711d0e87fcc9fafa9b59">operations_research::glop::RankOneUpdateFactorization::RankOneUpdateFactorization</a></div><div class="ttdeci">RankOneUpdateFactorization()</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00137">rank_one_update.h:137</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_rank_one_update_factorization_html_afcf383b6d3353520f4c1dabf0d16eca1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#afcf383b6d3353520f4c1dabf0d16eca1">operations_research::glop::RankOneUpdateFactorization::set_hypersparse_ratio</a></div><div class="ttdeci">void set_hypersparse_ratio(double value)</div><div class="ttdef"><b>Definition:</b> <a href="rank__one__update_8h_source.html#l00140">rank_one_update.h:140</a></div></div>
<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&lt; RowIndex, Fractional &gt;</a></div></div>
<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
<div class="ttc" id="alp__data_2lp__utils_8h_html"><div class="ttname"><a href="lp__data_2lp__utils_8h.html">lp_utils.h</a></div></div>
<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a66f88d7a4bcc601c81b7d694bcfae840"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a66f88d7a4bcc601c81b7d694bcfae840">operations_research::glop::IsAllFalse</a></div><div class="ttdeci">bool IsAllFalse(const BoolVector &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2lp__utils_8h_source.html#l00231">lp_data/lp_utils.h:231</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">operations_research::glop::Fractional</a></div><div class="ttdeci">double Fractional</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00078">lp_types.h:78</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_aaa803ce9366dca251925e0bdde517430"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">operations_research::glop::Transpose</a></div><div class="ttdeci">const DenseRow &amp; Transpose(const DenseColumn &amp;col)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2lp__utils_8h_source.html#l00192">lp_data/lp_utils.h:192</a></div></div>
<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>
<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>
<div class="ttc" id="areturn__macros_8h_html_a6009315499028d98072d8f31834cf4f9"><div class="ttname"><a href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a></div><div class="ttdeci">#define RETURN_IF_NULL(x)</div><div class="ttdef"><b>Definition:</b> <a href="return__macros_8h_source.html#l00020">return_macros.h:20</a></div></div>
<div class="ttc" id="ascattered__vector_8h_html"><div class="ttname"><a href="scattered__vector_8h.html">scattered_vector.h</a></div></div>
<div class="ttc" id="asparse_8h_html"><div class="ttname"><a href="sparse_8h.html">sparse.h</a></div></div>
<div class="ttc" id="asparse__submatrix_8cc_html_a4d53eac2ef2732c28fa9fb663e0c19a7"><div class="ttname"><a href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a></div><div class="ttdeci">std::optional&lt; int64_t &gt; end</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00036">sparse_submatrix.cc:36</a></div></div>
<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>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_row_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_row.html">operations_research::glop::ScatteredRow</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00197">scattered_vector.h:197</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_a582acb7e40cf171c7f0ab27aacd67823"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#a582acb7e40cf171c7f0ab27aacd67823">operations_research::glop::ScatteredVector::RepopulateSparseMask</a></div><div class="ttdeci">void RepopulateSparseMask()</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00144">scattered_vector.h:144</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_a73934bd40690bdc3cbe36d6fbb0ecad5"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#a73934bd40690bdc3cbe36d6fbb0ecad5">operations_research::glop::ScatteredVector::ShouldUseDenseIteration</a></div><div class="ttdeci">bool ShouldUseDenseIteration(double ratio_for_using_dense_representation) const</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00118">scattered_vector.h:118</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_a824e6b41b839a9f0ce98b10d3b84046d"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#a824e6b41b839a9f0ce98b10d3b84046d">operations_research::glop::ScatteredVector::ClearSparseMask</a></div><div class="ttdeci">void ClearSparseMask()</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00131">scattered_vector.h:131</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_aa01dd1032c527cbadf34ea39a02f799e"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#aa01dd1032c527cbadf34ea39a02f799e">operations_research::glop::ScatteredVector::ClearNonZerosIfTooDense</a></div><div class="ttdeci">void ClearNonZerosIfTooDense(double ratio_for_using_dense_representation)</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00151">scattered_vector.h:151</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_ac146d47daa294f7e6546c7569c9c881b"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">operations_research::glop::ScatteredVector::non_zeros</a></div><div class="ttdeci">std::vector&lt; Index &gt; non_zeros</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00061">scattered_vector.h:61</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_ac194aeeb3d13767546d461312169d86f"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac194aeeb3d13767546d461312169d86f">operations_research::glop::ScatteredVector::is_non_zero</a></div><div class="ttdeci">StrictITIVector&lt; Index, bool &gt; is_non_zero</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00066">scattered_vector.h:66</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_ae0473e18a367af671dc3f08063c80da4"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">operations_research::glop::ScatteredVector::values</a></div><div class="ttdeci">StrictITIVector&lt; Index, Fractional &gt; values</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00056">scattered_vector.h:56</a></div></div>
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