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<div class="title">basis_representation.cc</div>  </div>
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<a href="basis__representation_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// Copyright 2010-2018 Google LLC</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//     http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// limitations under the License.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="basis__representation_8h.html">ortools/glop/basis_representation.h</a>&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="status_8h.html">ortools/glop/status.h</a>&quot;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<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 name="l00019"></a><span class="lineno">   19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span>glop {</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">// EtaMatrix</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> EtaMatrix::kSparseThreshold = 0.5;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a7b76b8753b814ba45ef9be10454230d9">   29</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a7b76b8753b814ba45ef9be10454230d9">EtaMatrix::EtaMatrix</a>(ColIndex eta_col, <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>&amp; direction)</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    : eta_col_(eta_col),</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      eta_col_coefficient_(direction[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(eta_col)]),</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      eta_coeff_(),</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      sparse_eta_coeff_() {</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  <a class="code" href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a>(0.0, eta_col_coefficient_);</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  eta_coeff_ = direction.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  eta_coeff_[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(eta_col_)] = 0.0;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160; </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  <span class="comment">// Only fill sparse_eta_coeff_ if it is sparse enough.</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  <span class="keywordflow">if</span> (direction.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.size() &lt;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      kSparseThreshold * eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>().value()) {</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : direction.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>) {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> == <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(eta_col)) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      sparse_eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aeff6ae7073f423651fc0352d50cadfa6">SetCoefficient</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, eta_coeff_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(sparse_eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#a2e5611d47d02e1029b98a8e9bee3469f">CheckNoDuplicates</a>());</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  }</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;}</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a4975f6e9d308a97737d76519e0b773d5">   49</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a4975f6e9d308a97737d76519e0b773d5">EtaMatrix::~EtaMatrix</a>() {}</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160; </div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a6b5f31c4068711b8e6823f4888f410ce">   51</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a6b5f31c4068711b8e6823f4888f410ce">EtaMatrix::LeftSolve</a>(<a class="code" 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 name="l00052"></a><span class="lineno">   52</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>()), y-&gt;<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  <span class="keywordflow">if</span> (!sparse_eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a">IsEmpty</a>()) {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    LeftSolveWithSparseEta(y);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    LeftSolveWithDenseEta(y);</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;}</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a3cb026dc900190c13b208d24134755ed">   61</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html#a3cb026dc900190c13b208d24134755ed">EtaMatrix::RightSolve</a>(<a class="code" 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 name="l00062"></a><span class="lineno">   62</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(d);</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>(), d-&gt;<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="comment">// Nothing to do if &#39;a&#39; is zero at position eta_row.</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  <span class="comment">// This exploits the possible sparsity of the column &#39;a&#39;.</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  <span class="keywordflow">if</span> ((*d)[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(eta_col_)] == 0.0) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  <span class="keywordflow">if</span> (!sparse_eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a">IsEmpty</a>()) {</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    RightSolveWithSparseEta(d);</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    RightSolveWithDenseEta(d);</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  }</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;}</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160; </div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_matrix.html#ad1e32061321d5cc422c6f18a8ed6d33d">   75</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html#ad1e32061321d5cc422c6f18a8ed6d33d">EtaMatrix::SparseLeftSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>* y, <a class="code" href="namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246">ColIndexVector</a>* pos)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>()), y-&gt;<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> y_value = (*y)[eta_col_];</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <span class="keywordtype">bool</span> is_eta_col_in_pos = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">int</span> size = pos-&gt;size();</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = (*pos)[i];</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> == eta_col_) {</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      is_eta_col_in_pos = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    }</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    y_value -= (*y)[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] * eta_coeff_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  }</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160; </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  (*y)[eta_col_] = y_value / eta_col_coefficient_;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  <span class="comment">// We add the new non-zero position if it wasn&#39;t already there.</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="keywordflow">if</span> (!is_eta_col_in_pos) pos-&gt;push_back(eta_col_);</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;}</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160; </div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keywordtype">void</span> EtaMatrix::LeftSolveWithDenseEta(<a class="code" 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 name="l00099"></a><span class="lineno">   99</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> y_value = (*y)[eta_col_];</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  <span class="keyword">const</span> RowIndex num_rows(eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    y_value -= (*y)[<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>)] * eta_coeff_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  (*y)[eta_col_] = y_value / eta_col_coefficient_;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;}</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160; </div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="keywordtype">void</span> EtaMatrix::LeftSolveWithSparseEta(<a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> y_value = (*y)[eta_col_];</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d">SparseColumn::Entry</a> e : sparse_eta_coeff_) {</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    y_value -= (*y)[<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(e.row())] * e.coefficient();</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  }</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  (*y)[eta_col_] = y_value / eta_col_coefficient_;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;}</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160; </div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="keywordtype">void</span> EtaMatrix::RightSolveWithDenseEta(<a class="code" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a>* d)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <span class="keyword">const</span> RowIndex eta_row = <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(eta_col_);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff = (*d)[eta_row] / eta_col_coefficient_;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  <span class="keyword">const</span> RowIndex num_rows(eta_coeff_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    (*d)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] -= eta_coeff_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] * coeff;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  (*d)[eta_row] = coeff;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;}</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="keywordtype">void</span> EtaMatrix::RightSolveWithSparseEta(<a class="code" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a>* d)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="keyword">const</span> RowIndex eta_row = <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(eta_col_);</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff = (*d)[eta_row] / eta_col_coefficient_;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d">SparseColumn::Entry</a> e : sparse_eta_coeff_) {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    (*d)[e.row()] -= e.coefficient() * coeff;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  }</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  (*d)[eta_row] = coeff;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;}</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160; </div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="comment">// EtaFactorization</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#acddc81707ff8e60f4ab42b3c21939be6">  137</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#acddc81707ff8e60f4ab42b3c21939be6">EtaFactorization::EtaFactorization</a>() : eta_matrix_() {}</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160; </div>
<div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa4714584196a160a394ec3345b30ec03">  139</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa4714584196a160a394ec3345b30ec03">EtaFactorization::~EtaFactorization</a>() { <a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>(); }</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">  141</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">EtaFactorization::Clear</a>() { <a class="code" href="namespacegtl.html#a4ee3db0c4acaa0f277a0d7006f5ad1e6">gtl::STLDeleteElements</a>(&amp;eta_matrix_); }</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160; </div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#ae3aaa0f52a29f8a7b3f4550f97ca915d">  143</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#ae3aaa0f52a29f8a7b3f4550f97ca915d">EtaFactorization::Update</a>(ColIndex entering_col,</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                              RowIndex leaving_variable_row,</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                              <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>&amp; direction) {</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  <span class="keyword">const</span> ColIndex leaving_variable_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(leaving_variable_row);</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html">EtaMatrix</a>* <span class="keyword">const</span> eta_factorization =</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;      <span class="keyword">new</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_matrix.html">EtaMatrix</a>(leaving_variable_col, direction);</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  eta_matrix_.push_back(eta_factorization);</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;}</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160; </div>
<div class="line"><a name="l00152"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">  152</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">EtaFactorization::LeftSolve</a>(<a class="code" 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 name="l00153"></a><span class="lineno">  153</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = eta_matrix_.size() - 1; i &gt;= 0; --i) {</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    eta_matrix_[i]-&gt;LeftSolve(y);</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;}</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160; </div>
<div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#ad1e32061321d5cc422c6f18a8ed6d33d">  159</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#ad1e32061321d5cc422c6f18a8ed6d33d">EtaFactorization::SparseLeftSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>* y, <a class="code" href="namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246">ColIndexVector</a>* pos)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = eta_matrix_.size() - 1; i &gt;= 0; --i) {</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    eta_matrix_[i]-&gt;SparseLeftSolve(y, pos);</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;}</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed">  166</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed">EtaFactorization::RightSolve</a>(<a class="code" 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 name="l00167"></a><span class="lineno">  167</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(d);</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">size_t</span> num_eta_matrices = eta_matrix_.size();</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_eta_matrices; ++i) {</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    eta_matrix_[i]-&gt;RightSolve(d);</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  }</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;}</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160; </div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="comment">// BasisFactorization</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a278dfa01552170d8e781c1b7e613479e">  177</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a278dfa01552170d8e781c1b7e613479e">BasisFactorization::BasisFactorization</a>(</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>* compact_matrix, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowToColMapping</a>* basis)</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    : stats_(),</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;      compact_matrix_(*compact_matrix),</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;      basis_(*basis),</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      tau_is_computed_(false),</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;      max_num_updates_(0),</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;      num_updates_(0),</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      eta_factorization_(),</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;      lu_factorization_(),</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;      deterministic_time_(0.0) {</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea">SetParameters</a>(parameters_);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;}</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160; </div>
<div class="line"><a name="l00191"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a90c2785b56a02a7d2e87b72cef43db9e">  191</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a90c2785b56a02a7d2e87b72cef43db9e">BasisFactorization::~BasisFactorization</a>() {}</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160; </div>
<div class="line"><a name="l00193"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">  193</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">BasisFactorization::Clear</a>() {</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  num_updates_ = 0;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  tau_computation_can_be_optimized_ = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;  lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ad11c05dfc65c1f5c0e19ebde89700478">Reset</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>());</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;  right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ad11c05dfc65c1f5c0e19ebde89700478">Reset</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>());</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  left_pool_mapping_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(), <a class="code" href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">kInvalidCol</a>);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  right_pool_mapping_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(), <a class="code" href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">kInvalidCol</a>);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;}</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160; </div>
<div class="line"><a name="l00206"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a697f638cbd5a2dab2977b24e550bd7f9">  206</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a697f638cbd5a2dab2977b24e550bd7f9">BasisFactorization::Initialize</a>() {</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43">Status::OK</a>();</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html">CompactSparseMatrixView</a> basis_matrix(&amp;compact_matrix_, &amp;basis_);</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;  <span class="keywordflow">return</span> lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#ace58a4f9d6a147c3455ff8dc029537c4">ComputeFactorization</a>(basis_matrix);</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;}</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160; </div>
<div class="line"><a name="l00214"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">  214</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">BasisFactorization::IsRefactorized</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_updates_ == 0; }</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160; </div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a39b7e347f32f4024a988cb93f5e81a2d">  216</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a39b7e347f32f4024a988cb93f5e81a2d">BasisFactorization::Refactorize</a>() {</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  <span class="keywordflow">if</span> (<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">IsRefactorized</a>()) <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43">Status::OK</a>();</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e">ForceRefactorization</a>();</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;}</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160; </div>
<div class="line"><a name="l00221"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e">  221</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e">BasisFactorization::ForceRefactorization</a>() {</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;  stats_.refactorization_interval.Add(num_updates_);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html">CompactSparseMatrixView</a> basis_matrix(&amp;compact_matrix_, &amp;basis_);</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> status = lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#ace58a4f9d6a147c3455ff8dc029537c4">ComputeFactorization</a>(basis_matrix);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160; </div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span> kLuComplexityFactor = 10;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  deterministic_time_ +=</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;      kLuComplexityFactor * <a class="code" href="namespaceoperations__research_1_1glop.html#a25b69b7b46ff726b6412851d1455d777">DeterministicTimeForFpOperations</a>(</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;                                lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#ad9e11229fed5416bf22fb3b4fa65f4c1">NumberOfEntries</a>().value());</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  <span class="keywordflow">return</span> status;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;}</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160; </div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="comment">// This update formula can be derived by:</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="comment">// e = unit vector on the leaving_variable_row</span></div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;<span class="comment">// new B = L.U + (matrix.column(entering_col) - B.e).e^T</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="comment">// new B = L.U + L.L^{-1}.(matrix.column(entering_col) - B.e).e^T.U^{-1}.U</span></div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="comment">// new B = L.(Identity +</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="comment">//     (right_update_vector - U.column(leaving_column)).left_update_vector).U</span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="comment">// new B = L.RankOneUpdateElementatyMatrix(</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="comment">//    right_update_vector - U.column(leaving_column), left_update_vector)</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> BasisFactorization::MiddleProductFormUpdate(</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    ColIndex entering_col, RowIndex leaving_variable_row) {</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  <span class="keyword">const</span> ColIndex right_index = right_pool_mapping_[entering_col];</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;  <span class="keyword">const</span> ColIndex left_index =</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      left_pool_mapping_[<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(leaving_variable_row)];</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;  <span class="keywordflow">if</span> (right_index == <a class="code" href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">kInvalidCol</a> || left_index == <a class="code" href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">kInvalidCol</a>) {</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;    <a class="code" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(<a class="code" href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a>) &lt;&lt; <span class="stringliteral">&quot;One update vector is missing!!!&quot;</span>;</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e">ForceRefactorization</a>();</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  }</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160; </div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  <span class="comment">// TODO(user): create a class for these operations.</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;  <span class="comment">// Initialize scratchpad_ with the right update vector.</span></div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a386d851d7c8b409205dd82d87e44f2fe">IsAllZero</a>(scratchpad_));</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;  scratchpad_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>(), 0.0);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(right_index)) {</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    <span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i);</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;    scratchpad_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;    scratchpad_non_zeros_.push_back(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;  }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;  <span class="comment">// Subtract the column of U from scratchpad_.</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;  <span class="keyword">const</span> SparseColumn&amp; column_of_u =</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;      lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a3042b0778d3d901556345438e482d88a">GetColumnOfU</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(leaving_variable_row));</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d">SparseColumn::Entry</a> e : column_of_u) {</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;    scratchpad_[e.row()] -= e.coefficient();</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    scratchpad_non_zeros_.push_back(e.row());</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;  }</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160; </div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  <span class="comment">// Creates the new rank one update matrix and update the factorization.</span></div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> scalar_product =</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;      storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#abdd940ad64b555052b33e763b80aea26">ColumnScalarProduct</a>(left_index, <a class="code" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(scratchpad_));</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;  <span class="keyword">const</span> ColIndex u_index = storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a66f88c5340a0acaa44643526f4ab7d33">AddAndClearColumnWithNonZeros</a>(</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;      &amp;scratchpad_, &amp;scratchpad_non_zeros_);</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;  RankOneUpdateElementaryMatrix elementary_update_matrix(</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;      &amp;storage_, u_index, left_index, scalar_product);</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;  <span class="keywordflow">if</span> (elementary_update_matrix.IsSingular()) {</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;    <a class="code" href="status_8h.html#a8c76f1eb9790accd2cd0c5fa5c03c322">GLOP_RETURN_AND_LOG_ERROR</a>(<a class="code" href="classoperations__research_1_1glop_1_1_status.html#a59e56af19e754a6aa26a612ebf91d05fafa2ff9c081445bfbfbda10bc41b76a87">Status::ERROR_LU</a>, <span class="stringliteral">&quot;Degenerate rank-one update.&quot;</span>);</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;  }</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;  rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#aed839e3b52e966f415f4f289701c51af">Update</a>(elementary_update_matrix);</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43">Status::OK</a>();</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;}</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160; </div>
<div class="line"><a name="l00284"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a87e6110ce2612a27f85e9036afef1599">  284</a></span>&#160;<a class="code" href="classoperations__research_1_1glop_1_1_status.html">Status</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a87e6110ce2612a27f85e9036afef1599">BasisFactorization::Update</a>(ColIndex entering_col,</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;                                  RowIndex leaving_variable_row,</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;                                  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>&amp; direction) {</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="keywordflow">if</span> (num_updates_ &lt; max_num_updates_) {</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;    <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160; </div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    <span class="comment">// Note(user): in some rare case (to investigate!) MiddleProductFormUpdate()</span></div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    <span class="comment">// will trigger a full refactorization. Because of this, it is important to</span></div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    <span class="comment">// increment num_updates_ first as this counter is used by IsRefactorized().</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;    ++num_updates_;</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;    <span class="keywordflow">if</span> (use_middle_product_form_update_) {</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;      <a class="code" href="status_8h.html#a3efb1c6250c02a5b881f8b82f75f9822">GLOP_RETURN_IF_ERROR</a>(</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;          MiddleProductFormUpdate(entering_col, leaving_variable_row));</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;      eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#ae3aaa0f52a29f8a7b3f4550f97ca915d">Update</a>(entering_col, leaving_variable_row, direction);</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    }</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    tau_computation_can_be_optimized_ = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43">Status::OK</a>();</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;  }</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e">ForceRefactorization</a>();</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;}</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160; </div>
<div class="line"><a name="l00306"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aacdbeb58ac2d391f6586ad88db99ad61">  306</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aacdbeb58ac2d391f6586ad88db99ad61">BasisFactorization::LeftSolve</a>(<a class="code" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;  BumpDeterministicTimeForSolve(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>().value());</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;  <span class="keywordflow">if</span> (use_middle_product_form_update_) {</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a1ea8d0a49dad57416810ab7b1a2e2108">LeftSolveUWithNonZeros</a>(y);</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;    rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6d91289298bf5d7a417105e06d8d1c46">LeftSolveWithNonZeros</a>(y);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6c5735e4c25655dd4533504d22b1d66c">LeftSolveLWithNonZeros</a>(y);</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;    y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a338e6419a77aec6ea4340687c44f08f0">SortNonZerosIfNeeded</a>();</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;    y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.clear();</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;    eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">LeftSolve</a>(&amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">LeftSolve</a>(&amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;  }</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;}</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160; </div>
<div class="line"><a name="l00322"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7">  322</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7">BasisFactorization::RightSolve</a>(<a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>* d)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(d);</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;  BumpDeterministicTimeForSolve(d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.size());</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;  <span class="keywordflow">if</span> (use_middle_product_form_update_) {</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#aa35c31899babb961a8100bc605136424">RightSolveLWithNonZeros</a>(d);</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;    rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a0a02835bcd8b006bdc16cda3a72cd02a">RightSolveWithNonZeros</a>(d);</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a577c37faff9567f86849dd74c3fcf4ac">RightSolveUWithNonZeros</a>(d);</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a338e6419a77aec6ea4340687c44f08f0">SortNonZerosIfNeeded</a>();</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;    d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.clear();</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6ec53ed3afa3d8affb6941568dcfec76">RightSolve</a>(&amp;d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;    eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed">RightSolve</a>(&amp;d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;  }</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;}</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160; </div>
<div class="line"><a name="l00338"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a405547c96cca2eded0c29941a3ff7f22">  338</a></span>&#160;<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a405547c96cca2eded0c29941a3ff7f22">BasisFactorization::RightSolveForTau</a>(</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>&amp; <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;  BumpDeterministicTimeForSolve(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>().value());</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;  <span class="keywordflow">if</span> (use_middle_product_form_update_) {</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;    <span class="keywordflow">if</span> (tau_computation_can_be_optimized_) {</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;      <span class="comment">// Once used, the intermediate result is overwritten, so</span></div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;      <span class="comment">// RightSolveForTau() can no longer use the optimized algorithm.</span></div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;      tau_computation_can_be_optimized_ = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;      lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a43e095088501053427e317e905d5fc83">RightSolveLWithPermutedInput</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.values, &amp;tau_);</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;      <a class="code" href="namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1">ClearAndResizeVectorWithNonZeros</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>(), &amp;tau_);</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;      lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#aa1222207079d0d679ef52f8b465cd00a">RightSolveLForScatteredColumn</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, &amp;tau_);</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;    }</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;    rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a0a02835bcd8b006bdc16cda3a72cd02a">RightSolveWithNonZeros</a>(&amp;tau_);</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a577c37faff9567f86849dd74c3fcf4ac">RightSolveUWithNonZeros</a>(&amp;tau_);</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;    tau_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.clear();</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;    tau_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a> = <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.values;</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6ec53ed3afa3d8affb6941568dcfec76">RightSolve</a>(&amp;tau_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;    eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed">RightSolve</a>(&amp;tau_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;  }</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;  tau_is_computed_ = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;  <span class="keywordflow">return</span> tau_.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;}</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160; </div>
<div class="line"><a name="l00364"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b">  364</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b">BasisFactorization::LeftSolveForUnitRow</a>(ColIndex j,</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;                                             <a class="code" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;  BumpDeterministicTimeForSolve(1);</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1">ClearAndResizeVectorWithNonZeros</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>()),</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;                                   y);</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;  <span class="keywordflow">if</span> (!use_middle_product_form_update_) {</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;    (*y)[j] = 1.0;</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;    y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.push_back(j);</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#ad1e32061321d5cc422c6f18a8ed6d33d">SparseLeftSolve</a>(&amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>, &amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>);</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">LeftSolve</a>(&amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;    <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;  }</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160; </div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  <span class="comment">// If the leaving index is the same, we can reuse the column! Note also that</span></div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  <span class="comment">// since we do a left solve for a unit row using an upper triangular matrix,</span></div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;  <span class="comment">// all positions in front of the unit will be zero (modulo the column</span></div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;  <span class="comment">// permutation).</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;  <span class="keywordflow">if</span> (left_pool_mapping_[j] == <a class="code" href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">kInvalidCol</a>) {</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    <span class="keyword">const</span> ColIndex start = lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a9438a3ceb0327c1bd75ff3b4fa58d3b0">LeftSolveUForUnitRow</a>(j, y);</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;    <span class="keywordflow">if</span> (y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.empty()) {</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;      left_pool_mapping_[j] = storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a92fd573026885df55da46929dba89fa2">AddDenseColumnPrefix</a>(</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;          <a class="code" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>), <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(start));</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;      left_pool_mapping_[j] = storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a43ee08ef339bd43b5709364f91a02c38">AddDenseColumnWithNonZeros</a>(</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;          <a class="code" href="namespaceoperations__research_1_1glop.html#aaa803ce9366dca251925e0bdde517430">Transpose</a>(y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>),</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;          *<span class="keyword">reinterpret_cast&lt;</span><a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>*<span class="keyword">&gt;</span>(&amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>));</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    }</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;    <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* <span class="keyword">const</span> x = <span class="keyword">reinterpret_cast&lt;</span><a class="code" 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 name="l00395"></a><span class="lineno">  395</span>&#160;    <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* <span class="keyword">const</span> nz = <span class="keyword">reinterpret_cast&lt;</span><a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>*<span class="keyword">&gt;</span>(&amp;y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>);</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;    storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8a0e8a1a3afc70e2678d046feb11d024">ColumnCopyToClearedDenseColumnWithNonZeros</a>(left_pool_mapping_[j],</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;                                                        x, nz);</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;  }</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160; </div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;  rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a6d91289298bf5d7a417105e06d8d1c46">LeftSolveWithNonZeros</a>(y);</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160; </div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;  <span class="comment">// We only keep the intermediate result needed for the optimized tau_</span></div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;  <span class="comment">// computation if it was computed after the last time this was called.</span></div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;  <span class="keywordflow">if</span> (tau_is_computed_) {</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;    tau_computation_can_be_optimized_ =</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;        lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6c5735e4c25655dd4533504d22b1d66c">LeftSolveLWithNonZeros</a>(y, &amp;tau_);</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;    tau_computation_can_be_optimized_ = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6c5735e4c25655dd4533504d22b1d66c">LeftSolveLWithNonZeros</a>(y);</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;  }</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;  tau_is_computed_ = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;  y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a338e6419a77aec6ea4340687c44f08f0">SortNonZerosIfNeeded</a>();</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;}</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160; </div>
<div class="line"><a name="l00415"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98">  415</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98">BasisFactorization::TemporaryLeftSolveForUnitRow</a>(ColIndex j,</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;                                                      <a class="code" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* y)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;  <a class="code" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">IsRefactorized</a>());</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(y);</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;  BumpDeterministicTimeForSolve(1);</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1">ClearAndResizeVectorWithNonZeros</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>()),</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;                                   y);</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;  lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a9438a3ceb0327c1bd75ff3b4fa58d3b0">LeftSolveUForUnitRow</a>(j, y);</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6c5735e4c25655dd4533504d22b1d66c">LeftSolveLWithNonZeros</a>(y);</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;  y-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a338e6419a77aec6ea4340687c44f08f0">SortNonZerosIfNeeded</a>();</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;}</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160; </div>
<div class="line"><a name="l00428"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#ab9de0c21968ffad6320a44a010e33e07">  428</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#ab9de0c21968ffad6320a44a010e33e07">BasisFactorization::RightSolveForProblemColumn</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>,</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;                                                    <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>* d)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(d);</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;  BumpDeterministicTimeForSolve(</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;      compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).<a class="code" href="classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>().value());</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1">ClearAndResizeVectorWithNonZeros</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>(), d);</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160; </div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;  <span class="keywordflow">if</span> (!use_middle_product_form_update_) {</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;    compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab9bd1cef3f6a18704cb7d9ce6201e106">ColumnCopyToClearedDenseColumn</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, &amp;d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;    lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6ec53ed3afa3d8affb6941568dcfec76">RightSolve</a>(&amp;d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;    eta_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed">RightSolve</a>(&amp;d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;    <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;  }</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160; </div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;  <span class="comment">// TODO(user): if right_pool_mapping_[col] != kInvalidCol, we can reuse it and</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;  <span class="comment">// just apply the last rank one update since it was computed.</span></div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;  lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a40757145002c85d47ad8df1b53707661">RightSolveLForColumnView</a>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>), d);</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;  rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#a0a02835bcd8b006bdc16cda3a72cd02a">RightSolveWithNonZeros</a>(d);</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> &gt;= right_pool_mapping_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>()) {</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    <span class="comment">// This is needed because when we do an incremental solve with only new</span></div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;    <span class="comment">// columns, we still reuse the current factorization without calling</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;    <span class="comment">// Refactorize() which would have resized this vector.</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;    right_pool_mapping_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> + 1, <a class="code" href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">kInvalidCol</a>);</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;  }</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;  <span class="keywordflow">if</span> (d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.empty()) {</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    right_pool_mapping_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a3201a3fd525dd06db8cfa96eb9049d82">AddDenseColumn</a>(d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>);</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;    <span class="comment">// The sort is needed if we want to have the same behavior for the sparse or</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    <span class="comment">// hyper-sparse version.</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;    std::sort(d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.begin(), d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>.end());</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;    right_pool_mapping_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] =</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        right_storage_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a43ee08ef339bd43b5709364f91a02c38">AddDenseColumnWithNonZeros</a>(d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>, d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ac146d47daa294f7e6546c7569c9c881b">non_zeros</a>);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;  }</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;  lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a577c37faff9567f86849dd74c3fcf4ac">RightSolveUWithNonZeros</a>(d);</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;  d-&gt;<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#a338e6419a77aec6ea4340687c44f08f0">SortNonZerosIfNeeded</a>();</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;}</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160; </div>
<div class="line"><a name="l00466"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a4bf241af6b1844669171d6e170ef991d">  466</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a4bf241af6b1844669171d6e170ef991d">BasisFactorization::RightSolveSquaredNorm</a>(</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;    <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_column_view.html">ColumnView</a>&amp; <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">IsRefactorized</a>());</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;  BumpDeterministicTimeForSolve(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_entries().value());</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;  <span class="keywordflow">return</span> lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a4bf241af6b1844669171d6e170ef991d">RightSolveSquaredNorm</a>(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>);</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;}</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160; </div>
<div class="line"><a name="l00474"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876">  474</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876">BasisFactorization::DualEdgeSquaredNorm</a>(RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;  <a class="code" href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a>(&amp;stats_);</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(<a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">IsRefactorized</a>());</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;  BumpDeterministicTimeForSolve(1);</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;  <span class="keywordflow">return</span> lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876">DualEdgeSquaredNorm</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;}</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160; </div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;<span class="keywordtype">bool</span> BasisFactorization::IsIdentityBasis()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;  <span class="keyword">const</span> RowIndex num_rows = compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>();</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;  <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;    <span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = basis_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;    <span class="keywordflow">if</span> (compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).<a class="code" href="classoperations__research_1_1glop_1_1_column_view.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>().value() != 1) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff = compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).<a class="code" href="classoperations__research_1_1glop_1_1_column_view.html#ae7c152aafe19515204c65dadcdc876d6">GetFirstCoefficient</a>();</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    <span class="keyword">const</span> RowIndex entry_row = compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).<a class="code" href="classoperations__research_1_1glop_1_1_column_view.html#a7fd628651fe26e69b352dfc56039764f">GetFirstRow</a>();</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;    <span class="keywordflow">if</span> (entry_row != <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> || coeff != 1.0) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;  }</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;}</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160; </div>
<div class="line"><a name="l00493"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a64fea3282d498f3eb2d4af70692bb117">  493</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a64fea3282d498f3eb2d4af70692bb117">BasisFactorization::ComputeOneNorm</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html">CompactSparseMatrixView</a> basis_matrix(&amp;compact_matrix_, &amp;basis_);</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;  <span class="keywordflow">return</span> basis_matrix.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117">ComputeOneNorm</a>();</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;}</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160; </div>
<div class="line"><a name="l00499"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3">  499</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3">BasisFactorization::ComputeInfinityNorm</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html">CompactSparseMatrixView</a> basis_matrix(&amp;compact_matrix_, &amp;basis_);</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;  <span class="keywordflow">return</span> basis_matrix.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3">ComputeInfinityNorm</a>();</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;}</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160; </div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;<span class="comment">// TODO(user): try to merge the computation of the norm of inverses</span></div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;<span class="comment">// with that of MatrixView. Maybe use a wrapper class for InverseMatrix.</span></div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160; </div>
<div class="line"><a name="l00508"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a05d6979828b99ac719553f75335a1937">  508</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a05d6979828b99ac719553f75335a1937">BasisFactorization::ComputeInverseOneNorm</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;  <span class="keyword">const</span> RowIndex num_rows = compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>();</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;  <span class="keyword">const</span> ColIndex num_cols = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(num_rows);</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> norm = 0.0;</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(0); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> &lt; num_cols; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;    <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a> right_hand_side;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;    right_hand_side.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0">AssignToZero</a>(num_rows);</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;    right_hand_side[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)] = 1.0;</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;    <span class="comment">// Get a column of the matrix inverse.</span></div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;    <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7">RightSolve</a>(&amp;right_hand_side);</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;    <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> column_norm = 0.0;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;    <span class="comment">// Compute sum_i |inverse_ij|.</span></div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;    <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;      column_norm += std::abs(right_hand_side[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;    }</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;    <span class="comment">// Compute max_j sum_i |inverse_ij|</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;    norm = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(norm, column_norm);</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;  }</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;  <span class="keywordflow">return</span> norm;</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;}</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160; </div>
<div class="line"><a name="l00530"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3a6bb95b9009b1c578a27e6139d52696">  530</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3a6bb95b9009b1c578a27e6139d52696">BasisFactorization::ComputeInverseInfinityNorm</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;  <span class="keyword">const</span> RowIndex num_rows = compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>();</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;  <span class="keyword">const</span> ColIndex num_cols = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(num_rows);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> row_sum(num_rows, 0.0);</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(0); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> &lt; num_cols; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;    <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a> right_hand_side;</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;    right_hand_side.<a class="code" href="structoperations__research_1_1glop_1_1_scattered_vector.html#ae0473e18a367af671dc3f08063c80da4">values</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0">AssignToZero</a>(num_rows);</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;    right_hand_side[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)] = 1.0;</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;    <span class="comment">// Get a column of the matrix inverse.</span></div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;    <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7">RightSolve</a>(&amp;right_hand_side);</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;    <span class="comment">// Compute sum_j |inverse_ij|.</span></div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;    <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;      row_sum[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] += std::abs(right_hand_side[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    }</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;  }</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;  <span class="comment">// Compute max_i sum_j |inverse_ij|</span></div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> norm = 0.0;</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;  <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> &lt; num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;    norm = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(norm, row_sum[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;  }</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;  <span class="keywordflow">return</span> norm;</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;}</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160; </div>
<div class="line"><a name="l00554"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6748ce52d80c6013d4edfc77d56b96f8">  554</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6748ce52d80c6013d4edfc77d56b96f8">BasisFactorization::ComputeOneNormConditionNumber</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a64fea3282d498f3eb2d4af70692bb117">ComputeOneNorm</a>() * <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a05d6979828b99ac719553f75335a1937">ComputeInverseOneNorm</a>();</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;}</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160; </div>
<div class="line"><a name="l00559"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#abcfadeef96ab0ef83b82cf0046a45dd7">  559</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#abcfadeef96ab0ef83b82cf0046a45dd7">BasisFactorization::ComputeInfinityNormConditionNumber</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3">ComputeInfinityNorm</a>() * <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3a6bb95b9009b1c578a27e6139d52696">ComputeInverseInfinityNorm</a>();</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;}</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160; </div>
<div class="line"><a name="l00564"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a2ac7d8b80f20a8442138b0673aa0158c">  564</a></span>&#160;<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a2ac7d8b80f20a8442138b0673aa0158c">BasisFactorization::ComputeInfinityNormConditionNumberUpperBound</a>()<span class="keyword"></span></div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;<span class="keyword">    const </span>{</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;  <span class="keywordflow">if</span> (IsIdentityBasis()) <span class="keywordflow">return</span> 1.0;</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;  BumpDeterministicTimeForSolve(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>().value());</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3">ComputeInfinityNorm</a>() *</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;         lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#ada69c9026d5d933471bf27c9ad2d1b38">ComputeInverseInfinityNormUpperBound</a>();</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;}</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160; </div>
<div class="line"><a name="l00572"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeccc8138b268e621d96d105e0ddd474a">  572</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeccc8138b268e621d96d105e0ddd474a">BasisFactorization::DeterministicTime</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;  <span class="keywordflow">return</span> deterministic_time_;</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;}</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160; </div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;<span class="keywordtype">void</span> BasisFactorization::BumpDeterministicTimeForSolve(<span class="keywordtype">int</span> <a class="code" href="preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4">num_entries</a>)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;  <span class="comment">// TODO(user): Spend more time finding a good approximation here.</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;  <span class="keywordflow">if</span> (compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>().value() == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span> density =</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;      <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(<a class="code" href="preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4">num_entries</a>) /</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;      <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(compact_matrix_.<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>().value());</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;  deterministic_time_ +=</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;      (1.0 + density) * <a class="code" href="namespaceoperations__research_1_1glop.html#a25b69b7b46ff726b6412851d1455d777">DeterministicTimeForFpOperations</a>(</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;                            lu_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_lu_factorization.html#ad9e11229fed5416bf22fb3b4fa65f4c1">NumberOfEntries</a>().value()) +</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;      <a class="code" href="namespaceoperations__research_1_1glop.html#a25b69b7b46ff726b6412851d1455d777">DeterministicTimeForFpOperations</a>(</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;          rank_one_factorization_.<a class="code" href="classoperations__research_1_1glop_1_1_rank_one_update_factorization.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>().value());</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;}</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160; </div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;}  <span class="comment">// namespace glop</span></div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;}  <span class="comment">// namespace operations_research</span></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_ad11c05dfc65c1f5c0e19ebde89700478"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ad11c05dfc65c1f5c0e19ebde89700478">operations_research::glop::CompactSparseMatrix::Reset</a></div><div class="ttdeci">void Reset(RowIndex num_rows)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00515">sparse.cc:515</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a3a6bb95b9009b1c578a27e6139d52696"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3a6bb95b9009b1c578a27e6139d52696">operations_research::glop::BasisFactorization::ComputeInverseInfinityNorm</a></div><div class="ttdeci">Fractional ComputeInverseInfinityNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00530">basis_representation.cc:530</a></div></div>
<div class="ttc" id="alog__severity_8h_html_ab4a2cbab234914b320b7fae11b6e8cb9"><div class="ttname"><a href="log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9">INFO</a></div><div class="ttdeci">const int INFO</div><div class="ttdef"><b>Definition:</b> <a href="log__severity_8h_source.html#l00031">log_severity.h:31</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#l00288">sparse.h:288</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a64b6b04f3a519d2c61d49daaa88bf06e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">operations_research::glop::StrictITIVector::resize</a></div><div class="ttdeci">void resize(IntType size)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00269">lp_types.h:269</a></div></div>
<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&lt; ColIndex, Fractional &gt; DenseRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00299">lp_types.h:299</a></div></div>
<div class="ttc" id="abasis__representation_8h_html"><div class="ttname"><a href="basis__representation_8h.html">basis_representation.h</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_matrix_html_a4975f6e9d308a97737d76519e0b773d5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_matrix.html#a4975f6e9d308a97737d76519e0b773d5">operations_research::glop::EtaMatrix::~EtaMatrix</a></div><div class="ttdeci">virtual ~EtaMatrix()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00049">basis_representation.cc:49</a></div></div>
<div class="ttc" id="aalldiff__cst_8cc_html_a9d0c202d5fdd62f4fa2c613339ff168a"><div class="ttname"><a href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">max</a></div><div class="ttdeci">int64 max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a4bf241af6b1844669171d6e170ef991d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a4bf241af6b1844669171d6e170ef991d">operations_research::glop::LuFactorization::RightSolveSquaredNorm</a></div><div class="ttdeci">Fractional RightSolveSquaredNorm(const ColumnView &amp;a) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00110">lu_factorization.cc:110</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a6748ce52d80c6013d4edfc77d56b96f8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6748ce52d80c6013d4edfc77d56b96f8">operations_research::glop::BasisFactorization::ComputeOneNormConditionNumber</a></div><div class="ttdeci">Fractional ComputeOneNormConditionNumber() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00554">basis_representation.cc:554</a></div></div>
<div class="ttc" id="apreprocessor_8cc_html_a2babe18010525bbf13c2fa5a959971e4"><div class="ttname"><a href="preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4">num_entries</a></div><div class="ttdeci">EntryIndex num_entries</div><div class="ttdef"><b>Definition:</b> <a href="preprocessor_8cc_source.html#l01306">preprocessor.cc:1306</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_accad43a85d781d53381cd53a9894b6ae"><div class="ttname"><a href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a></div><div class="ttdeci">#define LOG(severity)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00420">base/logging.h:420</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_afb755b7934d8679476e2f05a89739bcd"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#afb755b7934d8679476e2f05a89739bcd">operations_research::glop::kInvalidCol</a></div><div class="ttdeci">const ColIndex kInvalidCol(-1)</div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a64fea3282d498f3eb2d4af70692bb117"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a64fea3282d498f3eb2d4af70692bb117">operations_research::glop::BasisFactorization::ComputeOneNorm</a></div><div class="ttdeci">Fractional ComputeOneNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00493">basis_representation.cc:493</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#l00364">sparse.h:364</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a43ee08ef339bd43b5709364f91a02c38"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a43ee08ef339bd43b5709364f91a02c38">operations_research::glop::CompactSparseMatrix::AddDenseColumnWithNonZeros</a></div><div class="ttdeci">ColIndex AddDenseColumnWithNonZeros(const DenseColumn &amp;dense_column, const std::vector&lt; RowIndex &gt; &amp;non_zeros)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00554">sparse.cc:554</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::BasisFactorization::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00193">basis_representation.cc:193</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#l00222">rank_one_update.h:222</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_matrix_html_ad1e32061321d5cc422c6f18a8ed6d33d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_matrix.html#ad1e32061321d5cc422c6f18a8ed6d33d">operations_research::glop::EtaMatrix::SparseLeftSolve</a></div><div class="ttdeci">void SparseLeftSolve(DenseRow *y, ColIndexVector *pos) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00075">basis_representation.cc:75</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a87e6110ce2612a27f85e9036afef1599"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a87e6110ce2612a27f85e9036afef1599">operations_research::glop::BasisFactorization::Update</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status Update(ColIndex entering_col, RowIndex leaving_variable_row, const ScatteredColumn &amp;direction)</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00284">basis_representation.cc:284</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#l00164">rank_one_update.h:164</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html">operations_research::glop::CompactSparseMatrixView</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00471">sparse.h:471</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_a3f219a081f88c22ae282ada4f0bdddd3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3">operations_research::glop::CompactSparseMatrixView::ComputeInfinityNorm</a></div><div class="ttdeci">Fractional ComputeInfinityNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00607">sparse.cc:607</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#l00198">rank_one_update.h:198</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#l00063">scattered_vector.h:63</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_factorization_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::EtaFactorization::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00141">basis_representation.cc:141</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a3f219a081f88c22ae282ada4f0bdddd3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a3f219a081f88c22ae282ada4f0bdddd3">operations_research::glop::BasisFactorization::ComputeInfinityNorm</a></div><div class="ttdeci">Fractional ComputeInfinityNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00499">basis_representation.cc:499</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a40757145002c85d47ad8df1b53707661"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a40757145002c85d47ad8df1b53707661">operations_research::glop::LuFactorization::RightSolveLForColumnView</a></div><div class="ttdeci">void RightSolveLForColumnView(const ColumnView &amp;b, ScatteredColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00232">lu_factorization.cc:232</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">operations_research::glop::CompactSparseMatrix::num_rows</a></div><div class="ttdeci">RowIndex num_rows() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00344">sparse.h:344</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_aaef7fc778a29bb3bb3040c0423937f6e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">operations_research::glop::CompactSparseMatrix::EntryCoefficient</a></div><div class="ttdeci">Fractional EntryCoefficient(EntryIndex i) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00361">sparse.h:361</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_status_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_status.html">operations_research::glop::Status</a></div><div class="ttdef"><b>Definition:</b> <a href="status_8h_source.html#l00024">status.h:24</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_aa1222207079d0d679ef52f8b465cd00a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#aa1222207079d0d679ef52f8b465cd00a">operations_research::glop::LuFactorization::RightSolveLForScatteredColumn</a></div><div class="ttdeci">void RightSolveLForScatteredColumn(const ScatteredColumn &amp;b, ScatteredColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00267">lu_factorization.cc:267</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_a2e5611d47d02e1029b98a8e9bee3469f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#a2e5611d47d02e1029b98a8e9bee3469f">operations_research::glop::SparseVector::CheckNoDuplicates</a></div><div class="ttdeci">bool CheckNoDuplicates() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00669">sparse_vector.h:669</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="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a967a5c081ad4195a30c78dc2c0bcabf5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">operations_research::glop::StrictITIVector::size</a></div><div class="ttdeci">IntType size() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00276">lp_types.h:276</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">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a41741829541d089f1c4d34f190884813"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">operations_research::glop::CompactSparseMatrix::num_cols</a></div><div class="ttdeci">ColIndex num_cols() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00345">sparse.h:345</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a25b69b7b46ff726b6412851d1455d777"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a25b69b7b46ff726b6412851d1455d777">operations_research::glop::DeterministicTimeForFpOperations</a></div><div class="ttdeci">static double DeterministicTimeForFpOperations(int64 n)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00379">lp_types.h:379</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a66f88c5340a0acaa44643526f4ab7d33"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a66f88c5340a0acaa44643526f4ab7d33">operations_research::glop::CompactSparseMatrix::AddAndClearColumnWithNonZeros</a></div><div class="ttdeci">ColIndex AddAndClearColumnWithNonZeros(DenseColumn *column, std::vector&lt; RowIndex &gt; *non_zeros)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00569">sparse.cc:569</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_factorization_html_aa4714584196a160a394ec3345b30ec03"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#aa4714584196a160a394ec3345b30ec03">operations_research::glop::EtaFactorization::~EtaFactorization</a></div><div class="ttdeci">virtual ~EtaFactorization()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00139">basis_representation.cc:139</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a1ea8d0a49dad57416810ab7b1a2e2108"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a1ea8d0a49dad57416810ab7b1a2e2108">operations_research::glop::LuFactorization::LeftSolveUWithNonZeros</a></div><div class="ttdeci">void LeftSolveUWithNonZeros(ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00286">lu_factorization.cc:286</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_status_html_a071b1d04197c0ac6e7a4d0ec0b91ff43"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_status.html#a071b1d04197c0ac6e7a4d0ec0b91ff43">operations_research::glop::Status::OK</a></div><div class="ttdeci">static const Status OK()</div><div class="ttdef"><b>Definition:</b> <a href="status_8h_source.html#l00054">status.h:54</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a6e2a232672ee1580b9144f558662a77c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a6e2a232672ee1580b9144f558662a77c">operations_research::glop::BasisFactorization::IsRefactorized</a></div><div class="ttdeci">bool IsRefactorized() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00214">basis_representation.cc:214</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_matrix_html_a6b5f31c4068711b8e6823f4888f410ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_matrix.html#a6b5f31c4068711b8e6823f4888f410ce">operations_research::glop::EtaMatrix::LeftSolve</a></div><div class="ttdeci">void LeftSolve(DenseRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00051">basis_representation.cc:51</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_factorization_html_ae3aaa0f52a29f8a7b3f4550f97ca915d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#ae3aaa0f52a29f8a7b3f4550f97ca915d">operations_research::glop::EtaFactorization::Update</a></div><div class="ttdeci">void Update(ColIndex entering_col, RowIndex leaving_variable_row, const ScatteredColumn &amp;direction)</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00143">basis_representation.cc:143</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a405547c96cca2eded0c29941a3ff7f22"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a405547c96cca2eded0c29941a3ff7f22">operations_research::glop::BasisFactorization::RightSolveForTau</a></div><div class="ttdeci">const DenseColumn &amp; RightSolveForTau(const ScatteredColumn &amp;a) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00338">basis_representation.cc:338</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="aclassoperations__research_1_1glop_1_1_eta_factorization_html_ad1e32061321d5cc422c6f18a8ed6d33d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#ad1e32061321d5cc422c6f18a8ed6d33d">operations_research::glop::EtaFactorization::SparseLeftSolve</a></div><div class="ttdeci">void SparseLeftSolve(DenseRow *y, ColIndexVector *pos) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00159">basis_representation.cc:159</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a9b738f6b485a4d4ef866b8d82ac07876"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876">operations_research::glop::BasisFactorization::DualEdgeSquaredNorm</a></div><div class="ttdeci">Fractional DualEdgeSquaredNorm(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00474">basis_representation.cc:474</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#l00077">lp_types.h:77</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0"><div class="ttname"><a href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a></div><div class="ttdeci">#define DCHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00886">base/logging.h:886</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_column_view_html_ae7c152aafe19515204c65dadcdc876d6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_column_view.html#ae7c152aafe19515204c65dadcdc876d6">operations_research::glop::ColumnView::GetFirstCoefficient</a></div><div class="ttdeci">Fractional GetFirstCoefficient() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00086">sparse_column.h:86</a></div></div>
<div class="ttc" id="astats_8h_html_a9995704aaaf45fc21e08c847551a8d04"><div class="ttname"><a href="stats_8h.html#a9995704aaaf45fc21e08c847551a8d04">SCOPED_TIME_STAT</a></div><div class="ttdeci">#define SCOPED_TIME_STAT(stats)</div><div class="ttdef"><b>Definition:</b> <a href="stats_8h_source.html#l00436">stats.h:436</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a41b0509864e6eb62f0415975a914ba4b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a41b0509864e6eb62f0415975a914ba4b">operations_research::glop::BasisFactorization::LeftSolveForUnitRow</a></div><div class="ttdeci">void LeftSolveForUnitRow(ColIndex j, ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00364">basis_representation.cc:364</a></div></div>
<div class="ttc" id="astatus_8h_html_a8c76f1eb9790accd2cd0c5fa5c03c322"><div class="ttname"><a href="status_8h.html#a8c76f1eb9790accd2cd0c5fa5c03c322">GLOP_RETURN_AND_LOG_ERROR</a></div><div class="ttdeci">#define GLOP_RETURN_AND_LOG_ERROR(error_code, message)</div><div class="ttdef"><b>Definition:</b> <a href="status_8h_source.html#l00077">status.h:77</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a39b7e347f32f4024a988cb93f5e81a2d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a39b7e347f32f4024a988cb93f5e81a2d">operations_research::glop::BasisFactorization::Refactorize</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status Refactorize()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00216">basis_representation.cc:216</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a697f638cbd5a2dab2977b24e550bd7f9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a697f638cbd5a2dab2977b24e550bd7f9">operations_research::glop::BasisFactorization::Initialize</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status Initialize()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00206">basis_representation.cc:206</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a8fbc9efd86a3cc862a9079d86ab8b524"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">operations_research::glop::RowToColIndex</a></div><div class="ttdeci">ColIndex RowToColIndex(RowIndex row)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00048">lp_types.h:48</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_status_html_a59e56af19e754a6aa26a612ebf91d05fafa2ff9c081445bfbfbda10bc41b76a87"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_status.html#a59e56af19e754a6aa26a612ebf91d05fafa2ff9c081445bfbfbda10bc41b76a87">operations_research::glop::Status::ERROR_LU</a></div><div class="ttdeci">@ ERROR_LU</div><div class="ttdef"><b>Definition:</b> <a href="status_8h_source.html#l00032">status.h:32</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a6c5735e4c25655dd4533504d22b1d66c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6c5735e4c25655dd4533504d22b1d66c">operations_research::glop::LuFactorization::LeftSolveLWithNonZeros</a></div><div class="ttdeci">bool LeftSolveLWithNonZeros(ScatteredRow *y, ScatteredColumn *result_before_permutation) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00320">lu_factorization.cc:320</a></div></div>
<div class="ttc" id="aconstraint__solver_2table_8cc_html_af730895c6c6ef6e03caaf6251192dfd2"><div class="ttname"><a href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a></div><div class="ttdeci">int64 a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00042">constraint_solver/table.cc:42</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_af8d7048738ceb4c753b040e6d29db79c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">operations_research::glop::StrictITIVector::assign</a></div><div class="ttdeci">void assign(IntType size, const T &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00274">lp_types.h:274</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_column_view_html_a7fd628651fe26e69b352dfc56039764f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_column_view.html#a7fd628651fe26e69b352dfc56039764f">operations_research::glop::ColumnView::GetFirstRow</a></div><div class="ttdeci">RowIndex GetFirstRow() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00090">sparse_column.h:90</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a6b5f31c4068711b8e6823f4888f410ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">operations_research::glop::LuFactorization::LeftSolve</a></div><div class="ttdeci">void LeftSolve(DenseRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00078">lu_factorization.cc:78</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_ad9e11229fed5416bf22fb3b4fa65f4c1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#ad9e11229fed5416bf22fb3b4fa65f4c1">operations_research::glop::LuFactorization::NumberOfEntries</a></div><div class="ttdeci">EntryIndex NumberOfEntries() const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00443">lu_factorization.cc:443</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_aeccc8138b268e621d96d105e0ddd474a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeccc8138b268e621d96d105e0ddd474a">operations_research::glop::BasisFactorization::DeterministicTime</a></div><div class="ttdeci">double DeterministicTime() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00572">basis_representation.cc:572</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_aedc46de5199e203b77de2eae2e4c100d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">operations_research::glop::CompactSparseMatrix::EntryRow</a></div><div class="ttdeci">RowIndex EntryRow(EntryIndex i) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00362">sparse.h:362</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_aa35c31899babb961a8100bc605136424"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#aa35c31899babb961a8100bc605136424">operations_research::glop::LuFactorization::RightSolveLWithNonZeros</a></div><div class="ttdeci">void RightSolveLWithNonZeros(ScatteredColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00248">lu_factorization.cc:248</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a4bf241af6b1844669171d6e170ef991d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a4bf241af6b1844669171d6e170ef991d">operations_research::glop::BasisFactorization::RightSolveSquaredNorm</a></div><div class="ttdeci">Fractional RightSolveSquaredNorm(const ColumnView &amp;a) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00466">basis_representation.cc:466</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a6ec53ed3afa3d8affb6941568dcfec76"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a6ec53ed3afa3d8affb6941568dcfec76">operations_research::glop::LuFactorization::RightSolve</a></div><div class="ttdeci">void RightSolve(DenseColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00068">lu_factorization.cc:68</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_aacdbeb58ac2d391f6586ad88db99ad61"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#aacdbeb58ac2d391f6586ad88db99ad61">operations_research::glop::BasisFactorization::LeftSolve</a></div><div class="ttdeci">void LeftSolve(ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00306">basis_representation.cc:306</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::LuFactorization::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00031">lu_factorization.cc:31</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_aedf255db8741ebb2011757ff37dfc02e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#aedf255db8741ebb2011757ff37dfc02e">operations_research::glop::BasisFactorization::ForceRefactorization</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status ForceRefactorization()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00221">basis_representation.cc:221</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; ColIndex, Fractional &gt;</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a2b83a25cb4fd203c57a7155699fab246"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a2b83a25cb4fd203c57a7155699fab246">operations_research::glop::ColIndexVector</a></div><div class="ttdeci">std::vector&lt; ColIndex &gt; ColIndexVector</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00308">lp_types.h:308</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_factorization_html_a3cb026dc900190c13b208d24134755ed"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#a3cb026dc900190c13b208d24134755ed">operations_research::glop::EtaFactorization::RightSolve</a></div><div class="ttdeci">void RightSolve(DenseColumn *d) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00166">basis_representation.cc:166</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#l00193">scattered_vector.h:193</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html_a3de922485ca2c30f3e07d959dd97cdd0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a3de922485ca2c30f3e07d959dd97cdd0">operations_research::glop::StrictITIVector::AssignToZero</a></div><div class="ttdeci">void AssignToZero(IntType size)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00290">lp_types.h:290</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_basis_factorization_html_a278dfa01552170d8e781c1b7e613479e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a278dfa01552170d8e781c1b7e613479e">operations_research::glop::BasisFactorization::BasisFactorization</a></div><div class="ttdeci">BasisFactorization(const CompactSparseMatrix *compact_matrix, const RowToColMapping *basis)</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00177">basis_representation.cc:177</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a92fd573026885df55da46929dba89fa2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a92fd573026885df55da46929dba89fa2">operations_research::glop::CompactSparseMatrix::AddDenseColumnPrefix</a></div><div class="ttdeci">ColIndex AddDenseColumnPrefix(const DenseColumn &amp;dense_column, RowIndex start)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00540">sparse.cc:540</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a577c37faff9567f86849dd74c3fcf4ac"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a577c37faff9567f86849dd74c3fcf4ac">operations_research::glop::LuFactorization::RightSolveUWithNonZeros</a></div><div class="ttdeci">void RightSolveUWithNonZeros(ScatteredColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00302">lu_factorization.cc:302</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_aeaeb43840844cc69a88dc924b282b4c7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#aeaeb43840844cc69a88dc924b282b4c7">operations_research::glop::BasisFactorization::RightSolve</a></div><div class="ttdeci">void RightSolve(ScatteredColumn *d) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00322">basis_representation.cc:322</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#l00884">base/logging.h:884</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_a64fea3282d498f3eb2d4af70692bb117"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117">operations_research::glop::CompactSparseMatrixView::ComputeOneNorm</a></div><div class="ttdeci">Fractional ComputeOneNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00604">sparse.cc:604</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="aclassoperations__research_1_1glop_1_1_sparse_vector_html_aeff6ae7073f423651fc0352d50cadfa6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#aeff6ae7073f423651fc0352d50cadfa6">operations_research::glop::SparseVector::SetCoefficient</a></div><div class="ttdeci">void SetCoefficient(Index index, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00680">sparse_vector.h:680</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_factorization_html_a6b5f31c4068711b8e6823f4888f410ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#a6b5f31c4068711b8e6823f4888f410ce">operations_research::glop::EtaFactorization::LeftSolve</a></div><div class="ttdeci">void LeftSolve(DenseRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00152">basis_representation.cc:152</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a9b738f6b485a4d4ef866b8d82ac07876"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a9b738f6b485a4d4ef866b8d82ac07876">operations_research::glop::LuFactorization::DualEdgeSquaredNorm</a></div><div class="ttdeci">Fractional DualEdgeSquaredNorm(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00141">lu_factorization.cc:141</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a90c2785b56a02a7d2e87b72cef43db9e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a90c2785b56a02a7d2e87b72cef43db9e">operations_research::glop::BasisFactorization::~BasisFactorization</a></div><div class="ttdeci">virtual ~BasisFactorization()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00191">basis_representation.cc:191</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_ab38326ea6cb6187267665dd8b2748f3d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d">operations_research::glop::SparseVector&lt; RowIndex, SparseColumnIterator &gt;::Entry</a></div><div class="ttdeci">typename Iterator::Entry Entry</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00091">sparse_vector.h:91</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a05d6979828b99ac719553f75335a1937"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a05d6979828b99ac719553f75335a1937">operations_research::glop::BasisFactorization::ComputeInverseOneNorm</a></div><div class="ttdeci">Fractional ComputeInverseOneNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00508">basis_representation.cc:508</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_vector_html_a338e6419a77aec6ea4340687c44f08f0"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_vector.html#a338e6419a77aec6ea4340687c44f08f0">operations_research::glop::ScatteredVector::SortNonZerosIfNeeded</a></div><div class="ttdeci">void SortNonZerosIfNeeded()</div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00111">scattered_vector.h:111</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a8a0e8a1a3afc70e2678d046feb11d024"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8a0e8a1a3afc70e2678d046feb11d024">operations_research::glop::CompactSparseMatrix::ColumnCopyToClearedDenseColumnWithNonZeros</a></div><div class="ttdeci">void ColumnCopyToClearedDenseColumnWithNonZeros(ColIndex col, DenseColumn *dense_column, RowIndexVector *non_zeros) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00436">sparse.h:436</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_ada69c9026d5d933471bf27c9ad2d1b38"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#ada69c9026d5d933471bf27c9ad2d1b38">operations_research::glop::LuFactorization::ComputeInverseInfinityNormUpperBound</a></div><div class="ttdeci">Fractional ComputeInverseInfinityNormUpperBound() const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00516">lu_factorization.cc:516</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_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="amarkowitz_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c"><div class="ttname"><a href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a></div><div class="ttdeci">ColIndex col</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00176">markowitz.cc:176</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_a8e12342fc420701fbffd97025421575a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#a8e12342fc420701fbffd97025421575a">operations_research::glop::SparseVector::IsEmpty</a></div><div class="ttdeci">bool IsEmpty() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00529">sparse_vector.h:529</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_ace58a4f9d6a147c3455ff8dc029537c4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#ace58a4f9d6a147c3455ff8dc029537c4">operations_research::glop::LuFactorization::ComputeFactorization</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT Status ComputeFactorization(const CompactSparseMatrixView &amp;compact_matrix)</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00044">lu_factorization.cc:44</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a60771349d1fcf262313b13a6a857c140"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">operations_research::glop::CompactSparseMatrix::Column</a></div><div class="ttdeci">::util::IntegerRange&lt; EntryIndex &gt; Column(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00358">sparse.h:358</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_ab9bd1cef3f6a18704cb7d9ce6201e106"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab9bd1cef3f6a18704cb7d9ce6201e106">operations_research::glop::CompactSparseMatrix::ColumnCopyToClearedDenseColumn</a></div><div class="ttdeci">void ColumnCopyToClearedDenseColumn(ColIndex col, DenseColumn *dense_column) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00426">sparse.h:426</a></div></div>
<div class="ttc" id="astl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
<div class="ttc" id="amarkowitz_8cc_html_aea35f36ba98d5bbd8d033382f50c9e52"><div class="ttname"><a href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a></div><div class="ttdeci">RowIndex row</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00175">markowitz.cc:175</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#l00191">scattered_vector.h:192</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a3042b0778d3d901556345438e482d88a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a3042b0778d3d901556345438e482d88a">operations_research::glop::LuFactorization::GetColumnOfU</a></div><div class="ttdeci">const SparseColumn &amp; GetColumnOfU(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00422">lu_factorization.cc:422</a></div></div>
<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&lt; RowIndex, Fractional &gt; DenseColumn</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00328">lp_types.h:328</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0"><div class="ttname"><a href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a></div><div class="ttdeci">#define DCHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00885">base/logging.h:885</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a3201a3fd525dd06db8cfa96eb9049d82"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a3201a3fd525dd06db8cfa96eb9049d82">operations_research::glop::CompactSparseMatrix::AddDenseColumn</a></div><div class="ttdeci">ColIndex AddDenseColumn(const DenseColumn &amp;dense_column)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00536">sparse.cc:536</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_column_view_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_column_view.html">operations_research::glop::ColumnView</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00065">sparse_column.h:65</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#l00382">sparse.h:382</a></div></div>
<div class="ttc" id="anamespacegtl_html_a4ee3db0c4acaa0f277a0d7006f5ad1e6"><div class="ttname"><a href="namespacegtl.html#a4ee3db0c4acaa0f277a0d7006f5ad1e6">gtl::STLDeleteElements</a></div><div class="ttdeci">void STLDeleteElements(T *container)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00372">stl_util.h:372</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a2ac7d8b80f20a8442138b0673aa0158c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a2ac7d8b80f20a8442138b0673aa0158c">operations_research::glop::BasisFactorization::ComputeInfinityNormConditionNumberUpperBound</a></div><div class="ttdeci">Fractional ComputeInfinityNormConditionNumberUpperBound() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00564">basis_representation.cc:564</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_ae7202d055b6b172a8a1da4f5b136f9ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#ae7202d055b6b172a8a1da4f5b136f9ea">operations_research::glop::BasisFactorization::SetParameters</a></div><div class="ttdeci">void SetParameters(const GlopParameters &amp;parameters)</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8h_source.html#l00158">basis_representation.h:158</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a386d851d7c8b409205dd82d87e44f2fe"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a386d851d7c8b409205dd82d87e44f2fe">operations_research::glop::IsAllZero</a></div><div class="ttdeci">bool IsAllZero(const Container &amp;input)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2lp__utils_8h_source.html#l00222">lp_data/lp_utils.h:222</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_matrix_html_a7b76b8753b814ba45ef9be10454230d9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_matrix.html#a7b76b8753b814ba45ef9be10454230d9">operations_research::glop::EtaMatrix::EtaMatrix</a></div><div class="ttdeci">EtaMatrix(ColIndex eta_col, const ScatteredColumn &amp;direction)</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00029">basis_representation.cc:29</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ab65a327cfc2a74c15fa26b91f19acc64"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">operations_research::glop::ColToRowIndex</a></div><div class="ttdeci">RowIndex ColToRowIndex(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00051">lp_types.h:51</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ac014de658aabf122011e8fb07b6f4612"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">operations_research::glop::RowIndexVector</a></div><div class="ttdeci">std::vector&lt; RowIndex &gt; RowIndexVector</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00309">lp_types.h:309</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_aa6c552b94fa80def1d4d1ea64697afb1"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aa6c552b94fa80def1d4d1ea64697afb1">operations_research::glop::ClearAndResizeVectorWithNonZeros</a></div><div class="ttdeci">void ClearAndResizeVectorWithNonZeros(IndexType size, ScatteredRowOrCol *v)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2lp__utils_8h_source.html#l00278">lp_data/lp_utils.h:278</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a43e095088501053427e317e905d5fc83"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a43e095088501053427e317e905d5fc83">operations_research::glop::LuFactorization::RightSolveLWithPermutedInput</a></div><div class="ttdeci">void RightSolveLWithPermutedInput(const DenseColumn &amp;a, ScatteredColumn *x) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00184">lu_factorization.cc:184</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_ab9de0c21968ffad6320a44a010e33e07"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#ab9de0c21968ffad6320a44a010e33e07">operations_research::glop::BasisFactorization::RightSolveForProblemColumn</a></div><div class="ttdeci">void RightSolveForProblemColumn(ColIndex col, ScatteredColumn *d) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00428">basis_representation.cc:428</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00495">base/logging.h:495</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lu_factorization_html_a9438a3ceb0327c1bd75ff3b4fa58d3b0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lu_factorization.html#a9438a3ceb0327c1bd75ff3b4fa58d3b0">operations_research::glop::LuFactorization::LeftSolveUForUnitRow</a></div><div class="ttdeci">ColIndex LeftSolveUForUnitRow(ColIndex col, ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="lu__factorization_8cc_source.html#l00389">lu_factorization.cc:389</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_matrix.html">operations_research::glop::EtaMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8h_source.html#l00052">basis_representation.h:52</a></div></div>
<div class="ttc" id="astatus_8h_html_a3efb1c6250c02a5b881f8b82f75f9822"><div class="ttname"><a href="status_8h.html#a3efb1c6250c02a5b881f8b82f75f9822">GLOP_RETURN_IF_ERROR</a></div><div class="ttdeci">#define GLOP_RETURN_IF_ERROR(function_call)</div><div class="ttdef"><b>Definition:</b> <a href="status_8h_source.html#l00070">status.h:70</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#l00058">scattered_vector.h:58</a></div></div>
<div class="ttc" id="astatus_8h_html"><div class="ttname"><a href="status_8h.html">status.h</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_a781d7728c278ae44bf265cf222479b98"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#a781d7728c278ae44bf265cf222479b98">operations_research::glop::BasisFactorization::TemporaryLeftSolveForUnitRow</a></div><div class="ttdeci">void TemporaryLeftSolveForUnitRow(ColIndex j, ScatteredRow *y) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00415">basis_representation.cc:415</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_factorization_html_acddc81707ff8e60f4ab42b3c21939be6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_factorization.html#acddc81707ff8e60f4ab42b3c21939be6">operations_research::glop::EtaFactorization::EtaFactorization</a></div><div class="ttdeci">EtaFactorization()</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00137">basis_representation.cc:137</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_eta_matrix_html_a3cb026dc900190c13b208d24134755ed"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_eta_matrix.html#a3cb026dc900190c13b208d24134755ed">operations_research::glop::EtaMatrix::RightSolve</a></div><div class="ttdeci">void RightSolve(DenseColumn *d) const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00061">basis_representation.cc:61</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_basis_factorization_html_abcfadeef96ab0ef83b82cf0046a45dd7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_basis_factorization.html#abcfadeef96ab0ef83b82cf0046a45dd7">operations_research::glop::BasisFactorization::ComputeInfinityNormConditionNumber</a></div><div class="ttdeci">Fractional ComputeInfinityNormConditionNumber() const</div><div class="ttdef"><b>Definition:</b> <a href="basis__representation_8cc_source.html#l00559">basis_representation.cc:559</a></div></div>
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