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1666 lines
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<div class="title">sparse.cc</div> </div>
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<a href="sparse_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> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="sparse_8h.html">ortools/lp_data/sparse.h</a>"</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "absl/strings/str_format.h"</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="lp__data_2permutation_8h.html">ortools/lp_data/permutation.h</a>"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">namespace </span>glop {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">namespace </span>{</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <a class="code" href="namespaceutil.html#a1e2d5c05e25343bc8e4fbccce0000d51">using ::util::Reverse</a>;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Matrix></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> EntryIndex ComputeNumEntries(<span class="keyword">const</span> Matrix& matrix) {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  EntryIndex <a class="code" href="preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4">num_entries</a>(0);</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keyword">const</span> ColIndex num_cols(matrix.num_cols());</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <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> < num_cols; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4">num_entries</a> += matrix.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).num_entries();</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">return</span> <a class="code" href="preprocessor_8cc.html#a2babe18010525bbf13c2fa5a959971e4">num_entries</a>;</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> }</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// Computes the 1-norm of the matrix.</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// The 1-norm |A| is defined as max_j sum_i |a_ij| or</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// max_col sum_row |a(row,col)|.</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Matrix></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> ComputeOneNormTemplate(<span class="keyword">const</span> Matrix& matrix) {</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> norm(0.0);</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">const</span> ColIndex num_cols(matrix.num_cols());</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <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> < num_cols; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> column_norm(0);</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <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 : matrix.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// Compute sum_i |a_ij|.</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  column_norm += fabs(e.coefficient());</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  }</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// Compute max_j sum_i |a_ij|</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  norm = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(norm, column_norm);</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">return</span> norm;</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> }</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// Computes the oo-norm (infinity-norm) of the matrix.</span></div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// The oo-norm |A| is defined as max_i sum_j |a_ij| or</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// max_row sum_col |a(row,col)|.</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Matrix></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> ComputeInfinityNormTemplate(<span class="keyword">const</span> Matrix& matrix) {</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">DenseColumn</a> row_sum(matrix.num_rows(), 0.0);</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> ColIndex num_cols(matrix.num_cols());</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <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> < num_cols; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <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 : matrix.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// Compute sum_j |a_ij|.</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  row_sum[e.row()] += fabs(e.coefficient());</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// Compute max_i sum_j |a_ij|</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> norm = 0.0;</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">const</span> RowIndex num_rows(matrix.num_rows());</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <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> < num_rows; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  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>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  }</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">return</span> norm;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> }</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> } <span class="comment">// namespace</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// --------------------------------------------------------</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// SparseMatrix</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// --------------------------------------------------------</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a79446a803c1bed8b17c8ac937d07be39"> 87</a></span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a79446a803c1bed8b17c8ac937d07be39">SparseMatrix::SparseMatrix</a>() : columns_(), num_rows_(0) {}</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="preprocessor">#if (!defined(_MSC_VER) || (_MSC_VER >= 1800))</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ad42280592d2daafb3008deef8f1baa7f"> 90</a></span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a79446a803c1bed8b17c8ac937d07be39">SparseMatrix::SparseMatrix</a>(</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  std::initializer_list<std::initializer_list<Fractional>> init_list) {</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(0);</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  num_rows_ = RowIndex(init_list.size());</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(0);</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">for</span> (std::initializer_list<Fractional> init_row : init_list) {</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, ColIndex(init_row.size()));</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  columns_.resize(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>());</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(0);</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> : init_row) {</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> != 0.0) {</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].SetCoefficient(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>;</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> }</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
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<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa71d36872f416feaa853788a7a7a7ef8"> 110</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa71d36872f416feaa853788a7a7a7ef8">SparseMatrix::Clear</a>() {</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  columns_.clear();</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  num_rows_ = RowIndex(0);</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> }</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  </div>
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<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a8e12342fc420701fbffd97025421575a"> 115</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a8e12342fc420701fbffd97025421575a">SparseMatrix::IsEmpty</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">return</span> columns_.empty() || num_rows_ == 0;</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> }</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#abfc30f91ab75c6f4552003f777672e74"> 119</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#abfc30f91ab75c6f4552003f777672e74">SparseMatrix::CleanUp</a>() {</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(columns_.size());</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].CleanUp();</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> }</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
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<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2e5611d47d02e1029b98a8e9bee3469f"> 126</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2e5611d47d02e1029b98a8e9bee3469f">SparseMatrix::CheckNoDuplicates</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseBooleanColumn</a> boolean_column;</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(columns_.size());</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">if</span> (!columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2e5611d47d02e1029b98a8e9bee3469f">CheckNoDuplicates</a>(&boolean_column)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> }</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
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<div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a"> 135</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a">SparseMatrix::IsCleanedUp</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(columns_.size());</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span> (!columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a">IsCleanedUp</a>()) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> }</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
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<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a55265e26d9e69e2d7a882bab054b8139"> 143</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a55265e26d9e69e2d7a882bab054b8139">SparseMatrix::SetNumRows</a>(RowIndex num_rows) { num_rows_ = <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>; }</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
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<div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a86fd105be79f4f2dbaf3a21e64e4d022"> 145</a></span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a86fd105be79f4f2dbaf3a21e64e4d022">SparseMatrix::AppendEmptyColumn</a>() {</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keyword">const</span> ColIndex result = columns_.size();</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  columns_.push_back(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>());</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">return</span> result;</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> }</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
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<div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a06d22c92f8b45b18560b46797f98a81b"> 151</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a06d22c92f8b45b18560b46797f98a81b">SparseMatrix::AppendUnitVector</a>(RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>) {</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  DCHECK_LT(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, num_rows_);</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a> new_col;</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  new_col.<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>, <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  columns_.push_back(std::move(new_col));</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> }</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a6052657cbffbe19decf328bf369d58e1"> 158</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a6052657cbffbe19decf328bf369d58e1">SparseMatrix::Swap</a>(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>* matrix) {</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">// We do not need to swap the different mutable scratchpads we use.</span></div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  columns_.swap(matrix->columns_);</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  std::swap(num_rows_, matrix->num_rows_);</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ae1b90982a83e1b025ebbc1c446980640"> 164</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ae1b90982a83e1b025ebbc1c446980640">SparseMatrix::PopulateFromZero</a>(RowIndex num_rows, ColIndex num_cols) {</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  columns_.resize(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>());</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].Clear();</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  num_rows_ = <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>;</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> }</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
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<div class="line"><a name="l00172"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a323801972c3d6de340e260de4582c34b"> 172</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a323801972c3d6de340e260de4582c34b">SparseMatrix::PopulateFromIdentity</a>(ColIndex num_cols) {</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ae1b90982a83e1b025ebbc1c446980640">PopulateFromZero</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>), <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>);</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <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>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].SetCoefficient(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>(1.0));</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  }</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> }</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Matrix></div>
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<div class="line"><a name="l00181"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2fe6f7470512f5301031480737375c88"> 181</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2fe6f7470512f5301031480737375c88">SparseMatrix::PopulateFromTranspose</a>(<span class="keyword">const</span> Matrix& <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>) {</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  Reset(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_rows()), <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols()));</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="comment">// We do a first pass on the input matrix to resize the new columns properly.</span></div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector<RowIndex, EntryIndex></a> row_degree(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_rows(),</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  EntryIndex(0));</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <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> < <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <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 : <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  ++row_degree[e.row()];</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  }</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <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> < <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_rows(); ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  columns_[<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>)].Reserve(row_degree[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <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> < <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">const</span> RowIndex transposed_row = <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <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 : <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">const</span> ColIndex transposed_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(e.row());</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  columns_[transposed_col].SetCoefficient(transposed_row, e.coefficient());</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  }</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  DCHECK(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a">IsCleanedUp</a>());</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> }</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
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<div class="line"><a name="l00206"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#acbbc88405e6db3fe77064e1a3d4e402a"> 206</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#acbbc88405e6db3fe77064e1a3d4e402a">SparseMatrix::PopulateFromSparseMatrix</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& matrix) {</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  Reset(ColIndex(0), matrix.num_rows_);</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  columns_ = matrix.columns_;</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> }</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Matrix></div>
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<div class="line"><a name="l00212"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a29edb960f882c54b9652853e94988e79"> 212</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a29edb960f882c54b9652853e94988e79">SparseMatrix::PopulateFromPermutedMatrix</a>(</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">const</span> Matrix& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm,</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">ColumnPermutation</a>& inverse_col_perm) {</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_cols();</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  Reset(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_rows());</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> e : <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.column(inverse_col_perm[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>])) {</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].SetCoefficient(row_perm[e.row()], e.coefficient());</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  }</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  DCHECK(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2e5611d47d02e1029b98a8e9bee3469f">CheckNoDuplicates</a>());</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> }</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  </div>
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<div class="line"><a name="l00225"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a0c406d94c3586159071e0b370a5a02fb"> 225</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a0c406d94c3586159071e0b370a5a02fb">SparseMatrix::PopulateFromLinearCombination</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> alpha,</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>,</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> beta,</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) {</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  DCHECK_EQ(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_cols(), <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.num_cols());</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  DCHECK_EQ(<a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_rows(), <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.num_rows());</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  </div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_cols();</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  Reset(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_rows());</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">const</span> RowIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a> = <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_rows();</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html">RandomAccessSparseColumn</a> dense_column(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>);</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <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 : <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#a6b6ed150baaae3251d84ccd30043173a">AddToCoefficient</a>(e.row(), alpha * e.coefficient());</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <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 : <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#a6b6ed150baaae3251d84ccd30043173a">AddToCoefficient</a>(e.row(), beta * e.coefficient());</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  }</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aaa5aa6d2fc9aaefcbc8688ceb127fb8a">PopulateSparseColumn</a>(&columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]);</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].CleanUp();</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  }</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> }</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  </div>
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<div class="line"><a name="l00250"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa1c2872fa7d491d4c093c8b2124a53b9"> 250</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa1c2872fa7d491d4c093c8b2124a53b9">SparseMatrix::PopulateFromProduct</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>,</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>) {</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.num_cols();</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">const</span> RowIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a> = <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_rows();</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  Reset(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>);</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html">RandomAccessSparseColumn</a> tmp_column(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>);</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordflow">for</span> (ColIndex col_b(0); col_b < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++col_b) {</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <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> eb : <a class="code" href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a>.columns_[col_b]) {</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">if</span> (eb.coefficient() == 0.0) {</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  }</div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">const</span> ColIndex col_a = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(eb.row());</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <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> ea : <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.columns_[col_a]) {</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = ea.coefficient() * eb.coefficient();</div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  tmp_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#a6b6ed150baaae3251d84ccd30043173a">AddToCoefficient</a>(ea.row(), <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  }</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  }</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  </div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="comment">// Populate column col_b.</span></div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  tmp_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aaa5aa6d2fc9aaefcbc8688ceb127fb8a">PopulateSparseColumn</a>(&columns_[col_b]);</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  columns_[col_b].CleanUp();</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  tmp_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> }</div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  </div>
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<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ac59fd9cddfe284bf9dc7581ed631ce8d"> 276</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ac59fd9cddfe284bf9dc7581ed631ce8d">SparseMatrix::DeleteColumns</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseBooleanRow</a>& columns_to_delete) {</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">if</span> (columns_to_delete.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">empty</a>()) <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  ColIndex new_index(0);</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = columns_.size();</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> >= columns_to_delete.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>() || !columns_to_delete[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].Swap(&(columns_[new_index]));</div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  ++new_index;</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  }</div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  }</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  columns_.resize(new_index);</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> }</div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  </div>
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<div class="line"><a name="l00289"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a860e7a37e8c7c2f5f7f0a73d3e3473f0"> 289</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a860e7a37e8c7c2f5f7f0a73d3e3473f0">SparseMatrix::DeleteRows</a>(RowIndex new_num_rows,</div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& permutation) {</div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  DCHECK_EQ(num_rows_, permutation.<a class="code" href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">size</a>());</div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <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> < num_rows_; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  DCHECK_LT(permutation[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>], new_num_rows);</div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  }</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="keyword">const</span> ColIndex end = <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>();</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <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> < end; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].ApplyPartialRowPermutation(permutation);</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  }</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a55265e26d9e69e2d7a882bab054b8139">SetNumRows</a>(new_num_rows);</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> }</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  </div>
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<div class="line"><a name="l00302"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ab2d8beb101c26b08a8af602300da1748"> 302</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ab2d8beb101c26b08a8af602300da1748">SparseMatrix::AppendRowsFromSparseMatrix</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& matrix) {</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keyword">const</span> ColIndex end = <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>();</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">if</span> (end != matrix.<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>()) {</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  }</div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keyword">const</span> RowIndex offset = <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>();</div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <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> < end; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>& source_column = matrix.columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].AppendEntriesWithOffset(source_column, offset);</div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  }</div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a55265e26d9e69e2d7a882bab054b8139">SetNumRows</a>(offset + matrix.<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>());</div>
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<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> }</div>
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<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
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<div class="line"><a name="l00316"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ace1973900f4d921a7bedbcbe36e1bcad"> 316</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ace1973900f4d921a7bedbcbe36e1bcad">SparseMatrix::ApplyRowPermutation</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm) {</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(columns_.size());</div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].ApplyRowPermutation(row_perm);</div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  }</div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> }</div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  </div>
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<div class="line"><a name="l00323"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a566008ab9fd3e3dbec96263bc3c45061"> 323</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a566008ab9fd3e3dbec96263bc3c45061">SparseMatrix::LookUpValue</a>(RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">return</span> columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>].LookUpCoefficient(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> }</div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  </div>
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<div class="line"><a name="l00327"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af782744bdb01cf56841a0de18ccca3ce"> 327</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af782744bdb01cf56841a0de18ccca3ce">SparseMatrix::Equals</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> tolerance)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordflow">if</span> (<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>() != <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_cols() || <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>() != <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_rows()) {</div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  }</div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  </div>
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<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html">RandomAccessSparseColumn</a> dense_column(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>());</div>
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<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html">RandomAccessSparseColumn</a> dense_column_a(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>());</div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.num_cols();</div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="comment">// Store all entries of current matrix in a dense column.</span></div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <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 : columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#a6b6ed150baaae3251d84ccd30043173a">AddToCoefficient</a>(e.row(), e.coefficient());</div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  }</div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  </div>
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<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="comment">// Check all entries of a are those stored in the dense column.</span></div>
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<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <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 : <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keywordflow">if</span> (fabs(e.coefficient() - dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#ab988bcb6c80bbc7853904ea85328a007">GetCoefficient</a>(e.row())) ></div>
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<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  tolerance) {</div>
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<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  }</div>
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<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  }</div>
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<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  </div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="comment">// Store all entries of matrix a in a dense column.</span></div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <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 : <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>.columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  dense_column_a.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#a6b6ed150baaae3251d84ccd30043173a">AddToCoefficient</a>(e.row(), e.coefficient());</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  }</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  </div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="comment">// Check all entries are those stored in the dense column a.</span></div>
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<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <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 : columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordflow">if</span> (fabs(e.coefficient() - dense_column_a.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#ab988bcb6c80bbc7853904ea85328a007">GetCoefficient</a>(e.row())) ></div>
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<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  tolerance) {</div>
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<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  }</div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  </div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  dense_column_a.<a class="code" href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  }</div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  </div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> }</div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  </div>
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<div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a6ae7b0836055b9b6d182115027d496f9"> 369</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a6ae7b0836055b9b6d182115027d496f9">SparseMatrix::ComputeMinAndMaxMagnitudes</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>* min_magnitude,</div>
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<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a>* max_magnitude)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(min_magnitude);</div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(max_magnitude);</div>
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<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  *min_magnitude = <a class="code" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>;</div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  *max_magnitude = 0.0;</div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <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 : columns_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]) {</div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> magnitude = fabs(e.coefficient());</div>
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|
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keywordflow">if</span> (magnitude != 0.0) {</div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  *min_magnitude = <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(*min_magnitude, magnitude);</div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  *max_magnitude = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(*max_magnitude, magnitude);</div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  }</div>
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<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  }</div>
|
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<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  }</div>
|
|
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">if</span> (*max_magnitude == 0.0) {</div>
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|
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  *min_magnitude = 0.0;</div>
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<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  }</div>
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<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> }</div>
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<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  </div>
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<div class="line"><a name="l00389"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749"> 389</a></span> EntryIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">SparseMatrix::num_entries</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordflow">return</span> ComputeNumEntries(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> }</div>
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<div class="line"><a name="l00392"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a64fea3282d498f3eb2d4af70692bb117"> 392</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a64fea3282d498f3eb2d4af70692bb117">SparseMatrix::ComputeOneNorm</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keywordflow">return</span> ComputeOneNormTemplate(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> }</div>
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<div class="line"><a name="l00395"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a3f219a081f88c22ae282ada4f0bdddd3"> 395</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a3f219a081f88c22ae282ada4f0bdddd3">SparseMatrix::ComputeInfinityNorm</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">return</span> ComputeInfinityNormTemplate(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> }</div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  </div>
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<div class="line"><a name="l00399"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ab4a8456683d4572bd9426efab8489e99"> 399</a></span> std::string <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ab4a8456683d4572bd9426efab8489e99">SparseMatrix::Dump</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  std::string result;</div>
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<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="keyword">const</span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(columns_.size());</div>
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<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  </div>
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<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <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> < num_rows_; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  result.append(<span class="stringliteral">"{ "</span>);</div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  absl::StrAppendFormat(&result, <span class="stringliteral">"%g "</span>, <a class="code" href="namespaceoperations__research_1_1glop.html#afd6d278f9d061a91716c6770f2d723e8">ToDouble</a>(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a566008ab9fd3e3dbec96263bc3c45061">LookUpValue</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)));</div>
|
|
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  }</div>
|
|
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  result.append(<span class="stringliteral">"}\n"</span>);</div>
|
|
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  }</div>
|
|
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> }</div>
|
|
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  </div>
|
|
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="keywordtype">void</span> SparseMatrix::Reset(ColIndex num_cols, RowIndex num_rows) {</div>
|
|
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
|
|
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  columns_.resize(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>, <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>());</div>
|
|
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  num_rows_ = <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>;</div>
|
|
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> }</div>
|
|
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  </div>
|
|
<div class="line"><a name="l00419"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_matrix_view.html#af69d9b7065a8f31604a8134be4307749"> 419</a></span> EntryIndex <a class="code" href="classoperations__research_1_1glop_1_1_matrix_view.html#af69d9b7065a8f31604a8134be4307749">MatrixView::num_entries</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> ComputeNumEntries(*<span class="keyword">this</span>); }</div>
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<div class="line"><a name="l00420"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117"> 420</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117">MatrixView::ComputeOneNorm</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keywordflow">return</span> ComputeOneNormTemplate(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> }</div>
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<div class="line"><a name="l00423"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3"> 423</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3">MatrixView::ComputeInfinityNorm</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="keywordflow">return</span> ComputeInfinityNormTemplate(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> }</div>
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<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  </div>
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<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="comment">// Instantiate needed templates.</span></div>
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<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="keyword">template</span> <span class="keywordtype">void</span> SparseMatrix::PopulateFromTranspose<SparseMatrix>(</div>
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<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>);</div>
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<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> <span class="keyword">template</span> <span class="keywordtype">void</span> SparseMatrix::PopulateFromPermutedMatrix<SparseMatrix>(</div>
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<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm,</div>
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<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">ColumnPermutation</a>& inverse_col_perm);</div>
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<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="keyword">template</span> <span class="keywordtype">void</span> SparseMatrix::PopulateFromPermutedMatrix<CompactSparseMatrixView>(</div>
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<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html">CompactSparseMatrixView</a>& <a class="code" href="constraint__solver_2table_8cc.html#af730895c6c6ef6e03caaf6251192dfd2">a</a>, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm,</div>
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<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">ColumnPermutation</a>& inverse_col_perm);</div>
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<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  </div>
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<div class="line"><a name="l00437"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aed842e8403e5fc09b23ead11e415d32e"> 437</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aed842e8403e5fc09b23ead11e415d32e">CompactSparseMatrix::PopulateFromMatrixView</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_matrix_view.html">MatrixView</a>& <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>) {</div>
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<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> = <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols();</div>
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<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a> = <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_rows();</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keyword">const</span> EntryIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a> = <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_entries();</div>
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<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> + 1, EntryIndex(0));</div>
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<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>, 0.0);</div>
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<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>, RowIndex(0));</div>
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<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  EntryIndex <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>(0);</div>
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<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <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> < <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <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 : <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>] = e.coefficient();</div>
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<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>] = e.row();</div>
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<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  ++<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  }</div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  }</div>
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols()] = <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> }</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  </div>
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<div class="line"><a name="l00456"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab66e13ab146acabbfaf99ce9f75bf1d2"> 456</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab66e13ab146acabbfaf99ce9f75bf1d2">CompactSparseMatrix::PopulateFromTranspose</a>(</div>
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<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>& <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>) {</div>
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<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_rows());</div>
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<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a> = <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols());</div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  </div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="comment">// Fill the starts_ vector by computing the number of entries of each rows and</span></div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="comment">// then doing a cummulative sum. After this step starts_[col + 1] will be the</span></div>
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<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="comment">// actual start of the column col when we are done.</span></div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> + 2, EntryIndex(0));</div>
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<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.rows_) {</div>
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<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  ++<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) + 2];</div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  }</div>
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<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(2); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] += <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> - 1];</div>
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<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  }</div>
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<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#af71e6c1eccbc12e9339c00a86a981a43">back</a>(), 0.0);</div>
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<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#af71e6c1eccbc12e9339c00a86a981a43">back</a>(), <a class="code" href="namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015">kInvalidRow</a>);</div>
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<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a058bda4957df6a97b1ea6c9fd783f672">pop_back</a>();</div>
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<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  </div>
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<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="comment">// Use starts_ to fill the matrix. Note that starts_ is modified so that at</span></div>
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<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="comment">// the end it has its final values.</span></div>
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<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <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> < <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keyword">const</span> RowIndex transposed_row = <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
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<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.Column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keyword">const</span> ColIndex transposed_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.EntryRow(i));</div>
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<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="keyword">const</span> EntryIndex <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[transposed_col + 1]++;</div>
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<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>] = <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.EntryCoefficient(i);</div>
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<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>[<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>] = transposed_row;</div>
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<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  }</div>
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<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  }</div>
|
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<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  </div>
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<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  DCHECK_EQ(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a6a48363b4355f6f5b441637774f79a59">front</a>(), 0);</div>
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<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  DCHECK_EQ(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#af71e6c1eccbc12e9339c00a86a981a43">back</a>(), <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> }</div>
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<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  </div>
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<div class="line"><a name="l00491"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a7323fee992a8f4516433b6928fedead6"> 491</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a7323fee992a8f4516433b6928fedead6">TriangularMatrix::PopulateFromTranspose</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html">TriangularMatrix</a>& <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>) {</div>
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<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab66e13ab146acabbfaf99ce9f75bf1d2">CompactSparseMatrix::PopulateFromTranspose</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>);</div>
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<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  </div>
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<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="comment">// This takes care of the triangular special case.</span></div>
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<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  diagonal_coefficients_ = <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.diagonal_coefficients_;</div>
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<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  all_diagonal_coefficients_are_one_ = <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.all_diagonal_coefficients_are_one_;</div>
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<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  </div>
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<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="comment">// The elimination structure of the transpose is not the same.</span></div>
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<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  pruned_ends_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>, EntryIndex(0));</div>
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<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  pruned_ends_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> + 1];</div>
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<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  }</div>
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<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  </div>
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<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="comment">// Compute first_non_identity_column_. Note that this is not necessarily the</span></div>
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<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="comment">// same as input.first_non_identity_column_ for an upper triangular matrix.</span></div>
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<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  first_non_identity_column_ = 0;</div>
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<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="keyword">const</span> ColIndex end = diagonal_coefficients_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>();</div>
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<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="keywordflow">while</span> (first_non_identity_column_ < end &&</div>
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<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afe3d36f3ba4f04442fbb36f8726f8baf">ColumnNumEntries</a>(first_non_identity_column_) == 0 &&</div>
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<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  diagonal_coefficients_[first_non_identity_column_] == 1.0) {</div>
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<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  ++first_non_identity_column_;</div>
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<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  }</div>
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<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> }</div>
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<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  </div>
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<div class="line"><a name="l00515"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ad11c05dfc65c1f5c0e19ebde89700478"> 515</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ad11c05dfc65c1f5c0e19ebde89700478">CompactSparseMatrix::Reset</a>(RowIndex num_rows) {</div>
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<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a> = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>;</div>
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<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> = 0;</div>
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<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
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|
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
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|
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
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|
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(EntryIndex(0));</div>
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<div class="line"><a name="l00522"></a><span class="lineno"> 522</span> }</div>
|
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<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  </div>
|
|
<div class="line"><a name="l00524"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c"> 524</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c">TriangularMatrix::Reset</a>(RowIndex num_rows, ColIndex col_capacity) {</div>
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|
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ad11c05dfc65c1f5c0e19ebde89700478">CompactSparseMatrix::Reset</a>(<a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>);</div>
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|
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  first_non_identity_column_ = 0;</div>
|
|
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  all_diagonal_coefficients_are_one_ = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  </div>
|
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<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  pruned_ends_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(col_capacity);</div>
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|
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  diagonal_coefficients_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(col_capacity);</div>
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<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(col_capacity + 1);</div>
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|
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <span class="comment">// Non-zero entries in the first column always have an offset of 0.</span></div>
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<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[ColIndex(0)] = 0;</div>
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<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> }</div>
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<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  </div>
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<div class="line"><a name="l00536"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a3201a3fd525dd06db8cfa96eb9049d82"> 536</a></span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a3201a3fd525dd06db8cfa96eb9049d82">CompactSparseMatrix::AddDenseColumn</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>& dense_column) {</div>
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<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a92fd573026885df55da46929dba89fa2">AddDenseColumnPrefix</a>(dense_column, RowIndex(0));</div>
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<div class="line"><a name="l00538"></a><span class="lineno"> 538</span> }</div>
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<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  </div>
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<div class="line"><a name="l00540"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a92fd573026885df55da46929dba89fa2"> 540</a></span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a92fd573026885df55da46929dba89fa2">CompactSparseMatrix::AddDenseColumnPrefix</a>(</div>
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<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>& dense_column, RowIndex start) {</div>
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<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  <span class="keyword">const</span> RowIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>(dense_column.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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|
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(start); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span> (dense_column[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] != 0.0) {</div>
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<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
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|
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(dense_column[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
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|
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  }</div>
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<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  }</div>
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<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  ++<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>;</div>
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|
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> - 1;</div>
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<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> }</div>
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<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  </div>
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<div class="line"><a name="l00554"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a43ee08ef339bd43b5709364f91a02c38"> 554</a></span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a43ee08ef339bd43b5709364f91a02c38">CompactSparseMatrix::AddDenseColumnWithNonZeros</a>(</div>
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<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>& dense_column, <span class="keyword">const</span> std::vector<RowIndex>& non_zeros) {</div>
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<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keywordflow">if</span> (non_zeros.empty()) <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a3201a3fd525dd06db8cfa96eb9049d82">AddDenseColumn</a>(dense_column);</div>
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|
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : non_zeros) {</div>
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<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = dense_column[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
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<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> != 0.0) {</div>
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<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
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<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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|
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  }</div>
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<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  }</div>
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<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  ++<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>;</div>
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|
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> - 1;</div>
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<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> }</div>
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<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  </div>
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<div class="line"><a name="l00569"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a66f88c5340a0acaa44643526f4ab7d33"> 569</a></span> ColIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a66f88c5340a0acaa44643526f4ab7d33">CompactSparseMatrix::AddAndClearColumnWithNonZeros</a>(</div>
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<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* column, std::vector<RowIndex>* non_zeros) {</div>
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<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *non_zeros) {</div>
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<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = (*column)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
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<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> != 0.0) {</div>
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<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
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|
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a>);</div>
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|
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  (*column)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = 0.0;</div>
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<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  }</div>
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<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  }</div>
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<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  non_zeros->clear();</div>
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<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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|
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  ++<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>;</div>
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|
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> - 1;</div>
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|
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> }</div>
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<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  </div>
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<div class="line"><a name="l00585"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a70b01012631e2165a63688dbb05ff2ea"> 585</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a70b01012631e2165a63688dbb05ff2ea">CompactSparseMatrix::Swap</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>* other) {</div>
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|
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  std::swap(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, other-><a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>);</div>
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|
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  std::swap(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>, other-><a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>);</div>
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<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ab93f952cf4db5c7f9a59163f933e5bbe">swap</a>(other-><a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>);</div>
|
|
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ab93f952cf4db5c7f9a59163f933e5bbe">swap</a>(other-><a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>);</div>
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|
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ab93f952cf4db5c7f9a59163f933e5bbe">swap</a>(other-><a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>);</div>
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|
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span> }</div>
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|
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  </div>
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|
<div class="line"><a name="l00593"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630"> 593</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630">TriangularMatrix::Swap</a>(<a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html">TriangularMatrix</a>* other) {</div>
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|
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a70b01012631e2165a63688dbb05ff2ea">CompactSparseMatrix::Swap</a>(other);</div>
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|
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  diagonal_coefficients_.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ab93f952cf4db5c7f9a59163f933e5bbe">swap</a>(other->diagonal_coefficients_);</div>
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|
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  std::swap(first_non_identity_column_, other->first_non_identity_column_);</div>
|
|
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  std::swap(all_diagonal_coefficients_are_one_,</div>
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|
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  other->all_diagonal_coefficients_are_one_);</div>
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|
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> }</div>
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<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  </div>
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<div class="line"><a name="l00601"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#af69d9b7065a8f31604a8134be4307749"> 601</a></span> EntryIndex <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#af69d9b7065a8f31604a8134be4307749">CompactSparseMatrixView::num_entries</a>()<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <span class="keywordflow">return</span> ComputeNumEntries(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00603"></a><span class="lineno"> 603</span> }</div>
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<div class="line"><a name="l00604"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117"> 604</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117">CompactSparseMatrixView::ComputeOneNorm</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  <span class="keywordflow">return</span> ComputeOneNormTemplate(*<span class="keyword">this</span>);</div>
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|
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span> }</div>
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<div class="line"><a name="l00607"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3"> 607</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3">CompactSparseMatrixView::ComputeInfinityNorm</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  <span class="keywordflow">return</span> ComputeInfinityNormTemplate(*<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00609"></a><span class="lineno"> 609</span> }</div>
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<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  </div>
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<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> <span class="comment">// Internal function used to finish adding one column to a triangular matrix.</span></div>
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|
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span> <span class="comment">// This sets the diagonal coefficient to the given value, and prepares the</span></div>
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<div class="line"><a name="l00613"></a><span class="lineno"> 613</span> <span class="comment">// matrix for the next column addition.</span></div>
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<div class="line"><a name="l00614"></a><span class="lineno"> 614</span> <span class="keywordtype">void</span> TriangularMatrix::CloseCurrentColumn(<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> diagonal_value) {</div>
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<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  DCHECK_NE(diagonal_value, 0.0);</div>
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<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="comment">// The vectors diagonal_coefficients, pruned_ends, and starts_ should have all</span></div>
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<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="comment">// been preallocated by a call to SetTotalNumberOfColumns().</span></div>
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<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  DCHECK_LT(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>, diagonal_coefficients_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  diagonal_coefficients_[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>] = diagonal_value;</div>
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<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  </div>
|
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<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="comment">// TODO(user): This is currently not used by all matrices. It will be good</span></div>
|
|
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="comment">// to fill it only when needed.</span></div>
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|
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  DCHECK_LT(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>, pruned_ends_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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|
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  pruned_ends_[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>] = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>();</div>
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<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  ++<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>;</div>
|
|
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  DCHECK_LT(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>, <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>] = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>();</div>
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<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">if</span> (first_non_identity_column_ == <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> - 1 && <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">empty</a>() &&</div>
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|
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  diagonal_value == 1.0) {</div>
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|
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  first_non_identity_column_ = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>;</div>
|
|
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  }</div>
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<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  all_diagonal_coefficients_are_one_ =</div>
|
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<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  all_diagonal_coefficients_are_one_ && (diagonal_value == 1.0);</div>
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<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> }</div>
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|
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  </div>
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<div class="line"><a name="l00636"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df"> 636</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df">TriangularMatrix::AddDiagonalOnlyColumn</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> diagonal_value) {</div>
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|
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  CloseCurrentColumn(diagonal_value);</div>
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<div class="line"><a name="l00638"></a><span class="lineno"> 638</span> }</div>
|
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<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  </div>
|
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<div class="line"><a name="l00640"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70"> 640</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70">TriangularMatrix::AddTriangularColumn</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_column_view.html">ColumnView</a>& column,</div>
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<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  RowIndex diagonal_row) {</div>
|
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<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> diagonal_value = 0.0;</div>
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<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <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 : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>) {</div>
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<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="keywordflow">if</span> (e.row() == diagonal_row) {</div>
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<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  diagonal_value = e.coefficient();</div>
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<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  DCHECK_NE(0.0, e.coefficient());</div>
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<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.row());</div>
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<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.coefficient());</div>
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|
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  }</div>
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<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  }</div>
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|
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  CloseCurrentColumn(diagonal_value);</div>
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|
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span> }</div>
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|
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  </div>
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|
<div class="line"><a name="l00655"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8d3594198944bf0a6ac2669581085683"> 655</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8d3594198944bf0a6ac2669581085683">TriangularMatrix::AddAndNormalizeTriangularColumn</a>(</div>
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<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>& column, RowIndex diagonal_row,</div>
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|
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> diagonal_coefficient) {</div>
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|
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <span class="comment">// TODO(user): use division by a constant using multiplication.</span></div>
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<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <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 : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>) {</div>
|
|
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keywordflow">if</span> (e.row() != diagonal_row) {</div>
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|
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="keywordflow">if</span> (e.coefficient() != 0.0) {</div>
|
|
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.row());</div>
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|
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.coefficient() / diagonal_coefficient);</div>
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|
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  }</div>
|
|
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  } <span class="keywordflow">else</span> {</div>
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|
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  DCHECK_EQ(e.coefficient(), diagonal_coefficient);</div>
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|
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  }</div>
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|
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  }</div>
|
|
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  CloseCurrentColumn(1.0);</div>
|
|
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span> }</div>
|
|
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  </div>
|
|
<div class="line"><a name="l00672"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a2ffa6dbb95dfb7e397bf69fd1ddd188e"> 672</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a2ffa6dbb95dfb7e397bf69fd1ddd188e">TriangularMatrix::AddTriangularColumnWithGivenDiagonalEntry</a>(</div>
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|
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>& column, RowIndex diagonal_row,</div>
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|
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> diagonal_value) {</div>
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|
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="keywordflow">for</span> (<a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d">SparseColumn::Entry</a> e : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>) {</div>
|
|
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  DCHECK_NE(e.row(), diagonal_row);</div>
|
|
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.row());</div>
|
|
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>.<a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.coefficient());</div>
|
|
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  }</div>
|
|
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  CloseCurrentColumn(diagonal_value);</div>
|
|
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span> }</div>
|
|
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  </div>
|
|
<div class="line"><a name="l00683"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3ff3fd0b24bac0e4aee2402fbe352856"> 683</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3ff3fd0b24bac0e4aee2402fbe352856">TriangularMatrix::PopulateFromTriangularSparseMatrix</a>(</div>
|
|
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>& <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>) {</div>
|
|
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c">Reset</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_rows(), <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols());</div>
|
|
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  <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> < <a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.num_cols(); ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70">AddTriangularColumn</a>(<a class="code" href="classoperations__research_1_1glop_1_1_column_view.html">ColumnView</a>(<a class="code" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.column(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</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="l00688"></a><span class="lineno"> 688</span>  }</div>
|
|
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  DCHECK(<a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a478299b61f785b5406d276ebe402aa64">IsLowerTriangular</a>() || <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa">IsUpperTriangular</a>());</div>
|
|
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span> }</div>
|
|
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  </div>
|
|
<div class="line"><a name="l00692"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a478299b61f785b5406d276ebe402aa64"> 692</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a478299b61f785b5406d276ebe402aa64">TriangularMatrix::IsLowerTriangular</a>()<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keywordflow">if</span> (diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] == 0.0) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keywordflow">for</span> (EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
|
|
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keywordflow">if</span> (<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i) <= <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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|
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  }</div>
|
|
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  }</div>
|
|
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span> }</div>
|
|
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  </div>
|
|
<div class="line"><a name="l00702"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa"> 702</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa">TriangularMatrix::IsUpperTriangular</a>()<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <span class="keywordflow">if</span> (diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] == 0.0) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  <span class="keywordflow">for</span> (EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
|
|
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="keywordflow">if</span> (<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i) >= <a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  }</div>
|
|
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  }</div>
|
|
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span> }</div>
|
|
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  </div>
|
|
<div class="line"><a name="l00712"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad001a49701677a22b4efd9186b97ae05"> 712</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad001a49701677a22b4efd9186b97ae05">TriangularMatrix::ApplyRowPermutationToNonDiagonalEntries</a>(</div>
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|
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm) {</div>
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|
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  EntryIndex <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a> = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<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="l00715"></a><span class="lineno"> 715</span>  <span class="keywordflow">for</span> (EntryIndex i(0); i < <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>; ++i) {</div>
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|
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>[i] = row_perm[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>[i]];</div>
|
|
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  }</div>
|
|
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span> }</div>
|
|
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  </div>
|
|
<div class="line"><a name="l00720"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8c7ec7f3a8ab57639b0d1ea69b9e0e65"> 720</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8c7ec7f3a8ab57639b0d1ea69b9e0e65">TriangularMatrix::CopyColumnToSparseColumn</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>,</div>
|
|
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>* output)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  output-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
|
|
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
|
|
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  output-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aeff6ae7073f423651fc0352d50cadfa6">SetCoefficient</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i), <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i));</div>
|
|
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  }</div>
|
|
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  output-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aeff6ae7073f423651fc0352d50cadfa6">SetCoefficient</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>), diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]);</div>
|
|
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  output-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#abfc30f91ab75c6f4552003f777672e74">CleanUp</a>();</div>
|
|
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span> }</div>
|
|
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  </div>
|
|
<div class="line"><a name="l00730"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a138580a401252ec46ad8e08925e4e92e"> 730</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a138580a401252ec46ad8e08925e4e92e">TriangularMatrix::CopyToSparseMatrix</a>(<a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>* output)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  output-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ae1b90982a83e1b025ebbc1c446980640">PopulateFromZero</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>);</div>
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|
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8c7ec7f3a8ab57639b0d1ea69b9e0e65">CopyColumnToSparseColumn</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, output-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a1e9f788d4507f2461b4f775755aaf82e">mutable_column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>));</div>
|
|
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  }</div>
|
|
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span> }</div>
|
|
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  </div>
|
|
<div class="line"><a name="l00737"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a53c98a21d13c8da595c0b4e63b699649"> 737</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a53c98a21d13c8da595c0b4e63b699649">TriangularMatrix::LowerSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a71d81a062179f9fa4a2c133b72aaf0d8">LowerSolveStartingAt</a>(ColIndex(0), rhs);</div>
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|
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span> }</div>
|
|
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  </div>
|
|
<div class="line"><a name="l00741"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a71d81a062179f9fa4a2c133b72aaf0d8"> 741</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a71d81a062179f9fa4a2c133b72aaf0d8">TriangularMatrix::LowerSolveStartingAt</a>(ColIndex start,</div>
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|
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  LowerSolveStartingAtInternal<true>(start, rhs);</div>
|
|
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  LowerSolveStartingAtInternal<false>(start, rhs);</div>
|
|
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  }</div>
|
|
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span> }</div>
|
|
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  </div>
|
|
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> <span class="keywordtype">void</span> TriangularMatrix::LowerSolveStartingAtInternal(ColIndex start,</div>
|
|
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <span class="keyword">const</span> ColIndex begin = <a class="code" href="alldiff__cst_8cc.html#a9d0c202d5fdd62f4fa2c613339ff168a">std::max</a>(start, first_non_identity_column_);</div>
|
|
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  <span class="keyword">const</span> ColIndex end = diagonal_coefficients_.<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="l00756"></a><span class="lineno"> 756</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(begin); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < end; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = (*rhs)[<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="l00758"></a><span class="lineno"> 758</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> == 0.0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff =</div>
|
|
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  diagonal_of_ones ? <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> : <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> / diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="keywordflow">if</span> (!diagonal_of_ones) {</div>
|
|
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  (*rhs)[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)] = coeff;</div>
|
|
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  }</div>
|
|
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
|
|
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)] -= coeff * <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
|
|
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  }</div>
|
|
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  }</div>
|
|
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span> }</div>
|
|
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  </div>
|
|
<div class="line"><a name="l00770"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3089393e5f2314b28878f49fd97398b1"> 770</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3089393e5f2314b28878f49fd97398b1">TriangularMatrix::UpperSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  UpperSolveInternal<true>(rhs);</div>
|
|
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  UpperSolveInternal<false>(rhs);</div>
|
|
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  }</div>
|
|
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span> }</div>
|
|
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  </div>
|
|
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span> <span class="keywordtype">void</span> TriangularMatrix::UpperSolveInternal(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  <span class="keyword">const</span> ColIndex end = first_non_identity_column_;</div>
|
|
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(diagonal_coefficients_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>() - 1); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> >= end; --<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> = (*rhs)[<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="l00784"></a><span class="lineno"> 784</span>  <span class="keywordflow">if</span> (<a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> == 0.0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff =</div>
|
|
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  diagonal_of_ones ? <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> : <a class="code" href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a> / diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="keywordflow">if</span> (!diagonal_of_ones) {</div>
|
|
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  (*rhs)[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)] = coeff;</div>
|
|
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  }</div>
|
|
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  </div>
|
|
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <span class="comment">// It is faster to iterate this way (instead of i : Column(col)) because of</span></div>
|
|
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  <span class="comment">// cache locality. Note that the floating-point computations are exactly the</span></div>
|
|
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  <span class="comment">// same in both cases.</span></div>
|
|
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  <span class="keyword">const</span> EntryIndex i_end = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keywordflow">for</span> (EntryIndex i(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> + 1] - 1); i >= i_end; --i) {</div>
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|
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)] -= coeff * <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
|
|
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  }</div>
|
|
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  }</div>
|
|
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span> }</div>
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<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  </div>
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|
<div class="line"><a name="l00801"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad29d43a5efb42cbdbaa131d8a9dc91f9"> 801</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad29d43a5efb42cbdbaa131d8a9dc91f9">TriangularMatrix::TransposeUpperSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
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|
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  TransposeUpperSolveInternal<true>(rhs);</div>
|
|
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  TransposeUpperSolveInternal<false>(rhs);</div>
|
|
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  }</div>
|
|
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span> }</div>
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|
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  </div>
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|
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
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|
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span> <span class="keywordtype">void</span> TriangularMatrix::TransposeUpperSolveInternal(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="keyword">const</span> ColIndex end = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>;</div>
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|
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  EntryIndex i = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[first_non_identity_column_];</div>
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<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  <span class="keywordflow">for</span> (ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(first_non_identity_column_); <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < end; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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|
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> sum = (*rhs)[<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="l00816"></a><span class="lineno"> 816</span>  </div>
|
|
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <span class="comment">// Note that this is a bit faster than the simpler</span></div>
|
|
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  <span class="comment">// for (const EntryIndex i : Column(col)) {</span></div>
|
|
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <span class="comment">// EntryIndex i is explicitly not modified in outer iterations, since</span></div>
|
|
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="comment">// the last entry in column col is stored contiguously just before the</span></div>
|
|
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <span class="comment">// first entry in column col+1.</span></div>
|
|
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <span class="keyword">const</span> EntryIndex i_end = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> + 1];</div>
|
|
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  <span class="keywordflow">for</span> (; i < i_end; ++i) {</div>
|
|
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  sum -= <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i) * (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)];</div>
|
|
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  }</div>
|
|
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  (*rhs)[<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="l00827"></a><span class="lineno"> 827</span>  diagonal_of_ones ? sum : sum / diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  }</div>
|
|
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span> }</div>
|
|
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  </div>
|
|
<div class="line"><a name="l00831"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#abd6fe5a90f2132529b10c7cb577f04a5"> 831</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#abd6fe5a90f2132529b10c7cb577f04a5">TriangularMatrix::TransposeLowerSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  TransposeLowerSolveInternal<true>(rhs);</div>
|
|
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  TransposeLowerSolveInternal<false>(rhs);</div>
|
|
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  }</div>
|
|
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span> }</div>
|
|
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  </div>
|
|
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span> <span class="keywordtype">void</span> TriangularMatrix::TransposeLowerSolveInternal(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <span class="keyword">const</span> ColIndex end = first_non_identity_column_;</div>
|
|
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  </div>
|
|
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  <span class="comment">// We optimize a bit the solve by skipping the last 0.0 positions.</span></div>
|
|
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a> - 1;</div>
|
|
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  <span class="keywordflow">while</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> >= end && (*rhs)[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)] == 0.0) {</div>
|
|
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  --<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>;</div>
|
|
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  }</div>
|
|
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  </div>
|
|
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  EntryIndex i = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> + 1] - 1;</div>
|
|
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  <span class="keywordflow">for</span> (; <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> >= end; --<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
|
|
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> sum = (*rhs)[<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="l00853"></a><span class="lineno"> 853</span>  </div>
|
|
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  <span class="comment">// Note that this is a bit faster than the simpler</span></div>
|
|
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="comment">// for (const EntryIndex i : Column(col)) {</span></div>
|
|
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  <span class="comment">// mainly because we iterate in a good direction for the cache.</span></div>
|
|
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <span class="comment">// EntryIndex i is explicitly not modified in outer iterations, since</span></div>
|
|
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <span class="comment">// the last entry in column col is stored contiguously just before the</span></div>
|
|
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <span class="comment">// first entry in column col+1.</span></div>
|
|
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  <span class="keyword">const</span> EntryIndex i_end = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  <span class="keywordflow">for</span> (; i >= i_end; --i) {</div>
|
|
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  sum -= <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i) * (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)];</div>
|
|
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  }</div>
|
|
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  (*rhs)[<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="l00865"></a><span class="lineno"> 865</span>  diagonal_of_ones ? sum : sum / diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  }</div>
|
|
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span> }</div>
|
|
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  </div>
|
|
<div class="line"><a name="l00869"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a31d19092aa0a8b6a87e8917c956a0610"> 869</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a31d19092aa0a8b6a87e8917c956a0610">TriangularMatrix::HyperSparseSolve</a>(<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs,</div>
|
|
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  HyperSparseSolveInternal<true>(rhs, non_zero_rows);</div>
|
|
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  HyperSparseSolveInternal<false>(rhs, non_zero_rows);</div>
|
|
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  }</div>
|
|
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span> }</div>
|
|
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  </div>
|
|
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span> <span class="keywordtype">void</span> TriangularMatrix::HyperSparseSolveInternal(</div>
|
|
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  <span class="keywordtype">int</span> new_size = 0;</div>
|
|
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *non_zero_rows) {</div>
|
|
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  <span class="keywordflow">if</span> ((*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] == 0.0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  <span class="keyword">const</span> ColIndex row_as_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
|
|
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff =</div>
|
|
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  diagonal_of_ones ? (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]</div>
|
|
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  : (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] / diagonal_coefficients_[row_as_col];</div>
|
|
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = coeff;</div>
|
|
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(row_as_col)) {</div>
|
|
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)] -= coeff * <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
|
|
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  }</div>
|
|
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  (*non_zero_rows)[new_size] = <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>;</div>
|
|
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  ++new_size;</div>
|
|
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  }</div>
|
|
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  non_zero_rows->resize(new_size);</div>
|
|
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span> }</div>
|
|
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  </div>
|
|
<div class="line"><a name="l00899"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#af3dcc960bfe6b9064cdc9ce6ab04fa1d"> 899</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#af3dcc960bfe6b9064cdc9ce6ab04fa1d">TriangularMatrix::HyperSparseSolveWithReversedNonZeros</a>(</div>
|
|
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  HyperSparseSolveWithReversedNonZerosInternal<true>(rhs, non_zero_rows);</div>
|
|
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  HyperSparseSolveWithReversedNonZerosInternal<false>(rhs, non_zero_rows);</div>
|
|
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  }</div>
|
|
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span> }</div>
|
|
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  </div>
|
|
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span> <span class="keywordtype">void</span> TriangularMatrix::HyperSparseSolveWithReversedNonZerosInternal(</div>
|
|
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  <span class="keywordtype">int</span> new_start = non_zero_rows->size();</div>
|
|
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : <a class="code" href="namespaceutil.html#a1e2d5c05e25343bc8e4fbccce0000d51">Reverse</a>(*non_zero_rows)) {</div>
|
|
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  <span class="keywordflow">if</span> ((*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] == 0.0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  <span class="keyword">const</span> ColIndex row_as_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
|
|
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff =</div>
|
|
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  diagonal_of_ones ? (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]</div>
|
|
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  : (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] / diagonal_coefficients_[row_as_col];</div>
|
|
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = coeff;</div>
|
|
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(row_as_col)) {</div>
|
|
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)] -= coeff * <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i);</div>
|
|
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  }</div>
|
|
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  --new_start;</div>
|
|
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  (*non_zero_rows)[new_start] = <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>;</div>
|
|
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  }</div>
|
|
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  non_zero_rows->erase(non_zero_rows->begin(),</div>
|
|
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  non_zero_rows->begin() + new_start);</div>
|
|
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span> }</div>
|
|
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  </div>
|
|
<div class="line"><a name="l00930"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a11284f21acc7de7ea63f5ebfebb5c9e7"> 930</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a11284f21acc7de7ea63f5ebfebb5c9e7">TriangularMatrix::TransposeHyperSparseSolve</a>(</div>
|
|
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  TransposeHyperSparseSolveInternal<true>(rhs, non_zero_rows);</div>
|
|
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  TransposeHyperSparseSolveInternal<false>(rhs, non_zero_rows);</div>
|
|
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  }</div>
|
|
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span> }</div>
|
|
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  </div>
|
|
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span> <span class="keywordtype">void</span> TriangularMatrix::TransposeHyperSparseSolveInternal(</div>
|
|
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  <span class="keywordtype">int</span> new_size = 0;</div>
|
|
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *non_zero_rows) {</div>
|
|
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> sum = (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
|
|
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  <span class="keyword">const</span> ColIndex row_as_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
|
|
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(row_as_col)) {</div>
|
|
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  sum -= <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i) * (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)];</div>
|
|
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  }</div>
|
|
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] =</div>
|
|
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  diagonal_of_ones ? sum : sum / diagonal_coefficients_[row_as_col];</div>
|
|
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  <span class="keywordflow">if</span> (sum != 0.0) {</div>
|
|
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  (*non_zero_rows)[new_size] = <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>;</div>
|
|
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  ++new_size;</div>
|
|
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  }</div>
|
|
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  }</div>
|
|
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  non_zero_rows->resize(new_size);</div>
|
|
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span> }</div>
|
|
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>  </div>
|
|
<div class="line"><a name="l00960"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a5e67a7d14b4aed3b0f54e453ed5fc7fe"> 960</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a5e67a7d14b4aed3b0f54e453ed5fc7fe">TriangularMatrix::TransposeHyperSparseSolveWithReversedNonZeros</a>(</div>
|
|
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>  <span class="keywordflow">if</span> (all_diagonal_coefficients_are_one_) {</div>
|
|
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  TransposeHyperSparseSolveWithReversedNonZerosInternal<true>(rhs,</div>
|
|
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  non_zero_rows);</div>
|
|
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  TransposeHyperSparseSolveWithReversedNonZerosInternal<false>(rhs,</div>
|
|
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  non_zero_rows);</div>
|
|
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  }</div>
|
|
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span> }</div>
|
|
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  </div>
|
|
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span> <span class="keyword">template</span> <<span class="keywordtype">bool</span> diagonal_of_ones></div>
|
|
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span> <span class="keywordtype">void</span> TriangularMatrix::TransposeHyperSparseSolveWithReversedNonZerosInternal(</div>
|
|
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* rhs, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(rhs);</div>
|
|
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  <span class="keywordtype">int</span> new_start = non_zero_rows->size();</div>
|
|
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : <a class="code" href="namespaceutil.html#a1e2d5c05e25343bc8e4fbccce0000d51">Reverse</a>(*non_zero_rows)) {</div>
|
|
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> sum = (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
|
|
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="keyword">const</span> ColIndex row_as_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
|
|
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  </div>
|
|
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  <span class="comment">// We do the loops this way so that the floating point operations are</span></div>
|
|
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  <span class="comment">// exactly the same as the ones perfomed by TransposeLowerSolveInternal().</span></div>
|
|
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>  EntryIndex i = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[row_as_col + 1] - 1;</div>
|
|
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span>  <span class="keyword">const</span> EntryIndex i_end = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[row_as_col];</div>
|
|
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>  <span class="keywordflow">for</span> (; i >= i_end; --i) {</div>
|
|
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  sum -= <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i) * (*rhs)[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)];</div>
|
|
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>  }</div>
|
|
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  (*rhs)[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] =</div>
|
|
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  diagonal_of_ones ? sum : sum / diagonal_coefficients_[row_as_col];</div>
|
|
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  <span class="keywordflow">if</span> (sum != 0.0) {</div>
|
|
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  --new_start;</div>
|
|
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  (*non_zero_rows)[new_start] = <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>;</div>
|
|
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>  }</div>
|
|
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  }</div>
|
|
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  non_zero_rows->erase(non_zero_rows->begin(),</div>
|
|
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  non_zero_rows->begin() + new_start);</div>
|
|
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span> }</div>
|
|
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>  </div>
|
|
<div class="line"><a name="l00998"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ae096114c2adaa8e7bac718ce450e135f"> 998</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ae096114c2adaa8e7bac718ce450e135f">TriangularMatrix::PermutedLowerSolve</a>(</div>
|
|
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>& rhs, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm,</div>
|
|
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowMapping</a>& partial_inverse_row_perm, <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>* lower,</div>
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|
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>* upper)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  DCHECK(all_diagonal_coefficients_are_one_);</div>
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<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(lower);</div>
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|
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(upper);</div>
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|
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>  </div>
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|
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>  initially_all_zero_scratchpad_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, 0.0);</div>
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|
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>  <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 : rhs) {</div>
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|
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>  initially_all_zero_scratchpad_[e.row()] = e.coefficient();</div>
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|
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>  }</div>
|
|
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>  </div>
|
|
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>  <span class="keyword">const</span> RowIndex end_row(partial_inverse_row_perm.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a967a5c081ad4195a30c78dc2c0bcabf5">size</a>());</div>
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|
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>  <span class="keywordflow">for</span> (RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(first_non_identity_column_)); <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> < end_row;</div>
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|
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>  ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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|
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>  <span class="keyword">const</span> RowIndex permuted_row = partial_inverse_row_perm[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>];</div>
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|
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> pivot = initially_all_zero_scratchpad_[permuted_row];</div>
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|
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  <span class="keywordflow">if</span> (pivot == 0.0) <span class="keywordflow">continue</span>;</div>
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|
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>  <span class="keywordflow">for</span> (EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>))) {</div>
|
|
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  initially_all_zero_scratchpad_[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)] -=</div>
|
|
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i) * pivot;</div>
|
|
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  }</div>
|
|
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  }</div>
|
|
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  </div>
|
|
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  lower-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
|
|
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  <span class="keyword">const</span> RowIndex <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a> = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>;</div>
|
|
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
|
|
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>  <span class="keywordflow">if</span> (initially_all_zero_scratchpad_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] != 0.0) {</div>
|
|
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>  <span class="keywordflow">if</span> (row_perm[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] < 0) {</div>
|
|
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  lower-><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>, initially_all_zero_scratchpad_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
|
|
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  upper-><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>, initially_all_zero_scratchpad_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
|
|
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  }</div>
|
|
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  initially_all_zero_scratchpad_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = 0.0;</div>
|
|
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  }</div>
|
|
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  }</div>
|
|
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>  DCHECK(lower-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#a2e5611d47d02e1029b98a8e9bee3469f">CheckNoDuplicates</a>());</div>
|
|
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span> }</div>
|
|
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  </div>
|
|
<div class="line"><a name="l01038"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#abedd52dbc024598bf0189235764f734a"> 1038</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#abedd52dbc024598bf0189235764f734a">TriangularMatrix::PermutedLowerSparseSolve</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_column_view.html">ColumnView</a>& rhs,</div>
|
|
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm,</div>
|
|
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>* lower_column,</div>
|
|
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>* upper_column) {</div>
|
|
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  DCHECK(all_diagonal_coefficients_are_one_);</div>
|
|
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(lower_column);</div>
|
|
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  <a class="code" href="return__macros_8h.html#a6009315499028d98072d8f31834cf4f9">RETURN_IF_NULL</a>(upper_column);</div>
|
|
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  </div>
|
|
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  <span class="comment">// Compute the set of rows that will be non zero in the result (lower_column,</span></div>
|
|
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  <span class="comment">// upper_column).</span></div>
|
|
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ac87e05f0b7e5dc3e4d6764060b4b58c9">PermutedComputeRowsToConsider</a>(rhs, row_perm, &lower_column_rows_,</div>
|
|
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  &upper_column_rows_);</div>
|
|
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  </div>
|
|
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  <span class="comment">// Copy rhs into initially_all_zero_scratchpad_.</span></div>
|
|
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  initially_all_zero_scratchpad_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, 0.0);</div>
|
|
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> e : rhs) {</div>
|
|
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  initially_all_zero_scratchpad_[e.row()] = e.coefficient();</div>
|
|
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  }</div>
|
|
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  </div>
|
|
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  <span class="comment">// We clear lower_column first in case upper_column and lower_column point to</span></div>
|
|
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  <span class="comment">// the same underlying SparseColumn.</span></div>
|
|
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  lower_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
|
|
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  </div>
|
|
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  <span class="comment">// rows_to_consider_ contains the row to process in reverse order. Note in</span></div>
|
|
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  <span class="comment">// particular that each "permuted_row" will never be touched again and so its</span></div>
|
|
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  <span class="comment">// value is final. We copy the result in (lower_column, upper_column) and</span></div>
|
|
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  <span class="comment">// clear initially_all_zero_scratchpad_ at the same time.</span></div>
|
|
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>  upper_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ae90055942b6d795d495d370afed742a9">Reserve</a>(upper_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>() +</div>
|
|
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>  EntryIndex(upper_column_rows_.size()));</div>
|
|
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex permuted_row : <a class="code" href="namespaceutil.html#a1e2d5c05e25343bc8e4fbccce0000d51">Reverse</a>(upper_column_rows_)) {</div>
|
|
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> pivot = initially_all_zero_scratchpad_[permuted_row];</div>
|
|
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>  <span class="keywordflow">if</span> (pivot == 0.0) <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>  <span class="comment">// Note that permuted_row will not appear in the loop below so we</span></div>
|
|
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>  <span class="comment">// already know the value of the solution at this position.</span></div>
|
|
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  initially_all_zero_scratchpad_[permuted_row] = 0.0;</div>
|
|
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  <span class="keyword">const</span> ColIndex row_as_col = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(row_perm[permuted_row]);</div>
|
|
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>  DCHECK_GE(row_as_col, 0);</div>
|
|
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>  upper_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aeff6ae7073f423651fc0352d50cadfa6">SetCoefficient</a>(permuted_row, pivot);</div>
|
|
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>  DCHECK_EQ(diagonal_coefficients_[row_as_col], 1.0);</div>
|
|
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> e : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afbe7c81d6b4066bf7874299a0f7c0d59">column</a>(row_as_col)) {</div>
|
|
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  initially_all_zero_scratchpad_[e.row()] -= e.coefficient() * pivot;</div>
|
|
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>  }</div>
|
|
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  }</div>
|
|
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  </div>
|
|
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <span class="comment">// TODO(user): The size of lower is exact, so we could be slighly faster here.</span></div>
|
|
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>  lower_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ae90055942b6d795d495d370afed742a9">Reserve</a>(EntryIndex(lower_column_rows_.size()));</div>
|
|
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex permuted_row : lower_column_rows_) {</div>
|
|
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> pivot = initially_all_zero_scratchpad_[permuted_row];</div>
|
|
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>  initially_all_zero_scratchpad_[permuted_row] = 0.0;</div>
|
|
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>  lower_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#aeff6ae7073f423651fc0352d50cadfa6">SetCoefficient</a>(permuted_row, pivot);</div>
|
|
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>  }</div>
|
|
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>  DCHECK(lower_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#a2e5611d47d02e1029b98a8e9bee3469f">CheckNoDuplicates</a>());</div>
|
|
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>  DCHECK(upper_column-><a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#a2e5611d47d02e1029b98a8e9bee3469f">CheckNoDuplicates</a>());</div>
|
|
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span> }</div>
|
|
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>  </div>
|
|
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span> <span class="comment">// The goal is to find which rows of the working column we will need to look</span></div>
|
|
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span> <span class="comment">// at in PermutedLowerSparseSolve() when solving P^{-1}.L.P.x = rhs, 'P' being a</span></div>
|
|
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span> <span class="comment">// row permutation, 'L' a lower triangular matrix and 'this' being 'P^{-1}.L'.</span></div>
|
|
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span> <span class="comment">// Note that the columns of L that are identity columns (this is the case for</span></div>
|
|
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span> <span class="comment">// the ones corresponding to a kNonPivotal in P) can be skipped since they will</span></div>
|
|
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span> <span class="comment">// leave the working column unchanged.</span></div>
|
|
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span> <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span> <span class="comment">// Let G denote the graph G = (V,E) of the column-to-row adjacency of A:</span></div>
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|
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span> <span class="comment">// - 'V' is the set of nodes, one node i corresponds to a both a row</span></div>
|
|
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span> <span class="comment">// and a column (the matrix is square).</span></div>
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|
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span> <span class="comment">// - 'E' is the set of arcs. There is an arc from node i to node j iff the</span></div>
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|
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span> <span class="comment">// coefficient of i-th column, j-th row of A = P^{-1}.L.P is non zero.</span></div>
|
|
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span> <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span> <span class="comment">// Let S denote the set of nodes i such that rhs_i != 0.</span></div>
|
|
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span> <span class="comment">// Let R denote the set of all accessible nodes from S in G.</span></div>
|
|
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span> <span class="comment">// x_k is possibly non-zero iff k is in R, i.e. if k is not in R then x_k = 0</span></div>
|
|
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span> <span class="comment">// for sure, and there is no need to look a the row k during the solve.</span></div>
|
|
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span> <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span> <span class="comment">// So, to solve P^{-1}.L.P.x = rhs, only rows corresponding to P.R have to be</span></div>
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|
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span> <span class="comment">// considered (ignoring the one that map to identity column of L). A topological</span></div>
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|
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span> <span class="comment">// sort of P.R is used to decide in which order one should iterate on them. This</span></div>
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|
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span> <span class="comment">// will be given by upper_column_rows_ and it will be populated in reverse</span></div>
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|
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span> <span class="comment">// order.</span></div>
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|
<div class="line"><a name="l01116"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ac87e05f0b7e5dc3e4d6764060b4b58c9"> 1116</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ac87e05f0b7e5dc3e4d6764060b4b58c9">TriangularMatrix::PermutedComputeRowsToConsider</a>(</div>
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|
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_column_view.html">ColumnView</a>& rhs, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>& row_perm,</div>
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<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* lower_column_rows, <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* upper_column_rows) {</div>
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|
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>  stored_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, <span class="keyword">false</span>);</div>
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|
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>  marked_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, <span class="keyword">false</span>);</div>
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|
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>  lower_column_rows->clear();</div>
|
|
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>  upper_column_rows->clear();</div>
|
|
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>  nodes_to_explore_.clear();</div>
|
|
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>  </div>
|
|
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>  <span class="keywordflow">for</span> (<a class="code" href="classoperations__research_1_1glop_1_1_sparse_vector.html#ab38326ea6cb6187267665dd8b2748f3d">SparseColumn::Entry</a> e : rhs) {</div>
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|
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>  <span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(row_perm[e.row()]);</div>
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|
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < 0) {</div>
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|
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>  stored_[e.row()] = <span class="keyword">true</span>;</div>
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|
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>  lower_column_rows-><a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(e.row());</div>
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|
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>  nodes_to_explore_.push_back(e.row());</div>
|
|
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>  }</div>
|
|
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  }</div>
|
|
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>  </div>
|
|
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  <span class="comment">// Topological sort based on Depth-First-Search.</span></div>
|
|
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>  <span class="comment">// A few notes:</span></div>
|
|
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  <span class="comment">// - By construction, if the matrix can be permuted into a lower triangular</span></div>
|
|
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>  <span class="comment">// form, there is no cycle. This code does nothing to test for cycles, but</span></div>
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|
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>  <span class="comment">// there is a DCHECK() to detect them during debugging.</span></div>
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|
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>  <span class="comment">// - This version uses sentinels (kInvalidRow) on nodes_to_explore_ to know</span></div>
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|
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>  <span class="comment">// when a node has been explored (i.e. when the recursive dfs goes back in</span></div>
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|
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>  <span class="comment">// the call stack). This is faster than an alternate implementation that</span></div>
|
|
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>  <span class="comment">// uses another Boolean array to detect when we go back in the</span></div>
|
|
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>  <span class="comment">// depth-first search.</span></div>
|
|
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>  <span class="keywordflow">while</span> (!nodes_to_explore_.empty()) {</div>
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|
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>  <span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = nodes_to_explore_.back();</div>
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|
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>  </div>
|
|
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>  <span class="comment">// If the depth-first search from the current node is finished (i.e. there</span></div>
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|
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>  <span class="comment">// is a sentinel on the stack), we store the node (which is just before on</span></div>
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|
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>  <span class="comment">// the stack). This will store the nodes in reverse topological order.</span></div>
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|
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> < 0) {</div>
|
|
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>  nodes_to_explore_.pop_back();</div>
|
|
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>  <span class="keyword">const</span> RowIndex explored_row = nodes_to_explore_.back();</div>
|
|
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>  nodes_to_explore_.pop_back();</div>
|
|
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>  DCHECK(!stored_[explored_row]);</div>
|
|
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>  stored_[explored_row] = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>  upper_column_rows-><a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(explored_row);</div>
|
|
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>  </div>
|
|
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>  <span class="comment">// Unmark and prune the nodes that are already unmarked. See the header</span></div>
|
|
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>  <span class="comment">// comment on marked_ for the algorithm description.</span></div>
|
|
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>  <span class="comment">// Complexity note: The only difference with the "normal" DFS doing no</span></div>
|
|
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>  <span class="comment">// pruning is this extra loop here and the marked_[entry_row] = true in</span></div>
|
|
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>  <span class="comment">// the loop later in this function. On an already pruned graph, this is</span></div>
|
|
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>  <span class="comment">// probably between 1 and 2 times slower than the "normal" DFS.</span></div>
|
|
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>  <span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(row_perm[explored_row]);</div>
|
|
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>  EntryIndex i = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
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|
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>  EntryIndex end = pruned_ends_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>  <span class="keywordflow">while</span> (i < end) {</div>
|
|
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>  <span class="keyword">const</span> RowIndex entry_row = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i);</div>
|
|
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>  <span class="keywordflow">if</span> (!marked_[entry_row]) {</div>
|
|
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>  --end;</div>
|
|
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>  </div>
|
|
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>  <span class="comment">// Note that we could keep the pruned row in a separate vector and</span></div>
|
|
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>  <span class="comment">// not touch the triangular matrix. But the current solution seems</span></div>
|
|
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>  <span class="comment">// better cache-wise and memory-wise.</span></div>
|
|
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>  std::swap(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>[i], <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>[end]);</div>
|
|
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>  std::swap(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>[i], <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">coefficients_</a>[end]);</div>
|
|
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>  marked_[entry_row] = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>  ++i;</div>
|
|
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>  }</div>
|
|
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>  }</div>
|
|
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>  pruned_ends_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] = end;</div>
|
|
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>  }</div>
|
|
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>  </div>
|
|
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>  <span class="comment">// If the node is already stored, skip.</span></div>
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|
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>  <span class="keywordflow">if</span> (stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]) {</div>
|
|
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>  nodes_to_explore_.pop_back();</div>
|
|
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>  }</div>
|
|
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>  </div>
|
|
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>  <span class="comment">// Expand only if we are not on a kNonPivotal row.</span></div>
|
|
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>  <span class="comment">// Otherwise we can store the node right away.</span></div>
|
|
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>  <span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> = <a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(row_perm[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]);</div>
|
|
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a> < 0) {</div>
|
|
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>  stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">true</span>;</div>
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|
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>  lower_column_rows-><a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
|
|
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>  nodes_to_explore_.pop_back();</div>
|
|
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>  }</div>
|
|
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>  </div>
|
|
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>  <span class="comment">// Go one level forward in the depth-first search, and store the 'adjacent'</span></div>
|
|
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>  <span class="comment">// node on nodes_to_explore_ for further processing.</span></div>
|
|
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>  nodes_to_explore_.push_back(<a class="code" href="namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015">kInvalidRow</a>);</div>
|
|
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>  <span class="keyword">const</span> EntryIndex end = pruned_ends_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
|
|
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>  <span class="keywordflow">for</span> (EntryIndex i = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">starts_</a>[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]; i < end; ++i) {</div>
|
|
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>  <span class="keyword">const</span> RowIndex entry_row = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i);</div>
|
|
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>  <span class="keywordflow">if</span> (!stored_[entry_row]) {</div>
|
|
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>  nodes_to_explore_.push_back(entry_row);</div>
|
|
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>  }</div>
|
|
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>  marked_[entry_row] = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>  }</div>
|
|
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>  </div>
|
|
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>  <span class="comment">// The graph contains cycles? this is not supposed to happen.</span></div>
|
|
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>  DCHECK_LE(nodes_to_explore_.size(), 2 * <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>.value() + <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">rows_</a>.<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="l01218"></a><span class="lineno"> 1218</span>  }</div>
|
|
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>  </div>
|
|
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>  <span class="comment">// Clear stored_.</span></div>
|
|
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *lower_column_rows) {</div>
|
|
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>  stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>  }</div>
|
|
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *upper_column_rows) {</div>
|
|
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>  stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>  }</div>
|
|
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span> }</div>
|
|
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>  </div>
|
|
<div class="line"><a name="l01229"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad63534e863f93bfa52e8a1fad2db4538"> 1229</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad63534e863f93bfa52e8a1fad2db4538">TriangularMatrix::ComputeRowsToConsiderWithDfs</a>(</div>
|
|
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>  <span class="keywordflow">if</span> (non_zero_rows->empty()) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>  </div>
|
|
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>  <span class="comment">// We don't start the DFS if the initial number of non-zeros is under the</span></div>
|
|
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>  <span class="comment">// sparsity_threshold. During the DFS, we abort it if the number of floating</span></div>
|
|
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>  <span class="comment">// points operations get larger than the num_ops_threshold.</span></div>
|
|
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>  <span class="comment">// In both cases, we make sure to clear non_zero_rows so that the solving part</span></div>
|
|
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>  <span class="comment">// will use the non-hypersparse version of the code.</span></div>
|
|
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>  <span class="comment">// TODO(user): Investigate the best thresholds.</span></div>
|
|
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> sparsity_threshold =</div>
|
|
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>  <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(0.025 * <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>.value()));</div>
|
|
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_ops_threshold =</div>
|
|
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>  <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(0.05 * <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>.value()));</div>
|
|
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>  <span class="keywordtype">int</span> num_ops = non_zero_rows->size();</div>
|
|
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>  <span class="keywordflow">if</span> (num_ops > sparsity_threshold) {</div>
|
|
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>  non_zero_rows->clear();</div>
|
|
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>  }</div>
|
|
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>  </div>
|
|
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>  <span class="comment">// Initialize using the non-zero positions of the input.</span></div>
|
|
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>  stored_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, <span class="keyword">false</span>);</div>
|
|
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>  nodes_to_explore_.clear();</div>
|
|
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>  nodes_to_explore_.swap(*non_zero_rows);</div>
|
|
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>  </div>
|
|
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>  <span class="comment">// Topological sort based on Depth-First-Search.</span></div>
|
|
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>  <span class="comment">// Same remarks as the version implemented in PermutedComputeRowsToConsider().</span></div>
|
|
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>  <span class="keywordflow">while</span> (!nodes_to_explore_.empty()) {</div>
|
|
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>  <span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = nodes_to_explore_.back();</div>
|
|
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>  </div>
|
|
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>  <span class="comment">// If the depth-first search from the current node is finished, we store the</span></div>
|
|
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>  <span class="comment">// node. This will store the node in reverse topological order.</span></div>
|
|
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>  <span class="keywordflow">if</span> (<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> < 0) {</div>
|
|
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>  nodes_to_explore_.pop_back();</div>
|
|
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>  <span class="keyword">const</span> RowIndex explored_row = -<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> - 1;</div>
|
|
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>  stored_[explored_row] = <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>  non_zero_rows-><a class="code" href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">push_back</a>(explored_row);</div>
|
|
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>  }</div>
|
|
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>  </div>
|
|
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>  <span class="comment">// If the node is already stored, skip.</span></div>
|
|
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>  <span class="keywordflow">if</span> (stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>]) {</div>
|
|
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>  nodes_to_explore_.pop_back();</div>
|
|
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>  <span class="keywordflow">continue</span>;</div>
|
|
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>  }</div>
|
|
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>  </div>
|
|
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>  <span class="comment">// Go one level forward in the depth-first search, and store the 'adjacent'</span></div>
|
|
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>  <span class="comment">// node on nodes_to_explore_ for further processing.</span></div>
|
|
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>  <span class="comment">// We reverse the sign of nodes_to_explore_.back() to detect when the</span></div>
|
|
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>  <span class="comment">// DFS will be back on this node.</span></div>
|
|
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>  nodes_to_explore_.back() = -<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> - 1;</div>
|
|
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>))) {</div>
|
|
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>  ++num_ops;</div>
|
|
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>  <span class="keyword">const</span> RowIndex entry_row = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i);</div>
|
|
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>  <span class="keywordflow">if</span> (!stored_[entry_row]) {</div>
|
|
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>  nodes_to_explore_.push_back(entry_row);</div>
|
|
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>  }</div>
|
|
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>  }</div>
|
|
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>  </div>
|
|
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>  <span class="comment">// Abort if the number of operations is not negligible compared to the</span></div>
|
|
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>  <span class="comment">// number of rows. Note that this test also prevents the code from cycling</span></div>
|
|
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>  <span class="comment">// in case the matrix is actually not triangular.</span></div>
|
|
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>  <span class="keywordflow">if</span> (num_ops > num_ops_threshold) <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>  }</div>
|
|
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>  </div>
|
|
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>  <span class="comment">// Clear stored_.</span></div>
|
|
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *non_zero_rows) {</div>
|
|
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>  stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>  }</div>
|
|
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>  </div>
|
|
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>  <span class="comment">// If we aborted, clear the result.</span></div>
|
|
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>  <span class="keywordflow">if</span> (num_ops > num_ops_threshold) non_zero_rows-><a class="code" href="classgtl_1_1_i_t_i_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
|
|
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span> }</div>
|
|
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>  </div>
|
|
<div class="line"><a name="l01306"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3512c76c765118122eff7e4c544b1cd5"> 1306</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a985078d2d3022f616d3c355373c7d20e">TriangularMatrix::ComputeRowsToConsiderInSortedOrder</a>(</div>
|
|
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> kDefaultSparsityRatio = 0.025;</div>
|
|
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> kDefaultNumOpsRatio = 0.05;</div>
|
|
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a985078d2d3022f616d3c355373c7d20e">ComputeRowsToConsiderInSortedOrder</a>(non_zero_rows, kDefaultSparsityRatio,</div>
|
|
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>  kDefaultNumOpsRatio);</div>
|
|
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span> }</div>
|
|
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>  </div>
|
|
<div class="line"><a name="l01314"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a985078d2d3022f616d3c355373c7d20e"> 1314</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a985078d2d3022f616d3c355373c7d20e">TriangularMatrix::ComputeRowsToConsiderInSortedOrder</a>(</div>
|
|
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#ac014de658aabf122011e8fb07b6f4612">RowIndexVector</a>* non_zero_rows, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> sparsity_ratio,</div>
|
|
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> num_ops_ratio)<span class="keyword"> const </span>{</div>
|
|
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>  <span class="keywordflow">if</span> (non_zero_rows->empty()) <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>  </div>
|
|
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>  <span class="comment">// TODO(user): Investigate the best thresholds.</span></div>
|
|
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> sparsity_threshold =</div>
|
|
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>  <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(0.025 * <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>.value()));</div>
|
|
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_ops_threshold =</div>
|
|
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>  <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(0.05 * <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>.value()));</div>
|
|
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>  <span class="keywordtype">int</span> num_ops = non_zero_rows->size();</div>
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<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>  <span class="keywordflow">if</span> (num_ops > sparsity_threshold) {</div>
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<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>  non_zero_rows->clear();</div>
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|
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>  <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>  }</div>
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<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>  </div>
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<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>  stored_.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#a64b6b04f3a519d2c61d49daaa88bf06e">resize</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, <span class="keyword">false</span>);</div>
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<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *non_zero_rows) stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">true</span>;</div>
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|
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < non_zero_rows->size(); ++i) {</div>
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<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>  <span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> = (*non_zero_rows)[i];</div>
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<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="namespaceoperations__research_1_1glop.html#a8fbc9efd86a3cc862a9079d86ab8b524">RowToColIndex</a>(<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>))) {</div>
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<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>  ++num_ops;</div>
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<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>  <span class="keyword">const</span> RowIndex entry_row = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i);</div>
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<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>  <span class="keywordflow">if</span> (!stored_[entry_row]) {</div>
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<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>  non_zero_rows->push_back(entry_row);</div>
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|
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>  stored_[entry_row] = <span class="keyword">true</span>;</div>
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|
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>  }</div>
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<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>  }</div>
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|
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>  <span class="keywordflow">if</span> (num_ops > num_ops_threshold) <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>  }</div>
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<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>  </div>
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<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a> : *non_zero_rows) stored_[<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>] = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>  <span class="keywordflow">if</span> (num_ops > num_ops_threshold) {</div>
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<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>  non_zero_rows-><a class="code" href="classgtl_1_1_i_t_i_vector.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>();</div>
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|
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>  std::sort(non_zero_rows->begin(), non_zero_rows->end());</div>
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|
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>  }</div>
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|
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span> }</div>
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|
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>  </div>
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|
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span> <span class="comment">// A known upper bound for the infinity norm of T^{-1} is the</span></div>
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|
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span> <span class="comment">// infinity norm of y where T'*y = x with:</span></div>
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|
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span> <span class="comment">// - x the all 1s vector.</span></div>
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|
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span> <span class="comment">// - Each entry in T' is the absolute value of the same entry in T.</span></div>
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|
<div class="line"><a name="l01357"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ada69c9026d5d933471bf27c9ad2d1b38"> 1357</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ada69c9026d5d933471bf27c9ad2d1b38">TriangularMatrix::ComputeInverseInfinityNormUpperBound</a>()<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>  <span class="keywordflow">if</span> (first_non_identity_column_ == <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>) {</div>
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|
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>  <span class="comment">// Identity matrix</span></div>
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|
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>  <span class="keywordflow">return</span> 1.0;</div>
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|
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>  }</div>
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|
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>  </div>
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|
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> is_upper = <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa">IsUpperTriangular</a>();</div>
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|
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> row_norm_estimate(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, 1.0);</div>
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|
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> = <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>.value();</div>
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|
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>  </div>
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|
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>; ++i) {</div>
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|
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>  <span class="keyword">const</span> ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>(is_upper ? <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a> - 1 - i : i);</div>
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|
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>  DCHECK_NE(diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>], 0.0);</div>
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|
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> coeff = row_norm_estimate[<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="l01371"></a><span class="lineno"> 1371</span>  std::abs(diagonal_coefficients_[<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>]);</div>
|
|
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>  </div>
|
|
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>  row_norm_estimate[<a class="code" href="namespaceoperations__research_1_1glop.html#ab65a327cfc2a74c15fa26b91f19acc64">ColToRowIndex</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)] = coeff;</div>
|
|
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> EntryIndex i : <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a60771349d1fcf262313b13a6a857c140">Column</a>(<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>)) {</div>
|
|
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>  row_norm_estimate[<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aedc46de5199e203b77de2eae2e4c100d">EntryRow</a>(i)] += coeff * std::abs(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aaef7fc778a29bb3bb3040c0423937f6e">EntryCoefficient</a>(i));</div>
|
|
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>  }</div>
|
|
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>  }</div>
|
|
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>  </div>
|
|
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>  <span class="keywordflow">return</span> *std::max_element(row_norm_estimate.<a class="code" href="classgtl_1_1_i_t_i_vector.html#ad69bd11391be1a1dba5c8202259664f8">begin</a>(), row_norm_estimate.<a class="code" href="classgtl_1_1_i_t_i_vector.html#acad38d52497a975bfb6f2f6acd76631f">end</a>());</div>
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|
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span> }</div>
|
|
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>  </div>
|
|
<div class="line"><a name="l01382"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3a6bb95b9009b1c578a27e6139d52696"> 1382</a></span> <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3a6bb95b9009b1c578a27e6139d52696">TriangularMatrix::ComputeInverseInfinityNorm</a>()<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> is_upper = <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa">IsUpperTriangular</a>();</div>
|
|
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>  </div>
|
|
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> row_sum(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, 0.0);</div>
|
|
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>  <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> right_hand_side;</div>
|
|
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">num_cols_</a>; ++<a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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|
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>  right_hand_side.<a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html#af8d7048738ceb4c753b040e6d29db79c">assign</a>(<a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>, 0);</div>
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|
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>  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>
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|
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>  </div>
|
|
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>  <span class="comment">// Get the col-th column of the matrix inverse.</span></div>
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|
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>  <span class="keywordflow">if</span> (is_upper) {</div>
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|
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3089393e5f2314b28878f49fd97398b1">UpperSolve</a>(&right_hand_side);</div>
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|
<div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>  } <span class="keywordflow">else</span> {</div>
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|
<div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>  <a class="code" href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a53c98a21d13c8da595c0b4e63b699649">LowerSolve</a>(&right_hand_side);</div>
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|
<div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>  }</div>
|
|
<div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>  </div>
|
|
<div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>  <span class="comment">// Compute sum_j |inverse_ij|.</span></div>
|
|
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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|
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>  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>
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|
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>  }</div>
|
|
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>  }</div>
|
|
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>  <span class="comment">// Compute max_i sum_j |inverse_ij|.</span></div>
|
|
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> norm = 0.0;</div>
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|
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>  <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> < <a class="code" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">num_rows_</a>; ++<a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) {</div>
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|
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>  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>
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<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>  }</div>
|
|
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>  </div>
|
|
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>  <span class="keywordflow">return</span> norm;</div>
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<div class="line"><a name="l01410"></a><span class="lineno"> 1410</span> }</div>
|
|
<div class="line"><a name="l01411"></a><span class="lineno"> 1411</span> } <span class="comment">// namespace glop</span></div>
|
|
<div class="line"><a name="l01412"></a><span class="lineno"> 1412</span> } <span class="comment">// namespace operations_research</span></div>
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</div><!-- fragment --></div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_abd6fe5a90f2132529b10c7cb577f04a5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#abd6fe5a90f2132529b10c7cb577f04a5">operations_research::glop::TriangularMatrix::TransposeLowerSolve</a></div><div class="ttdeci">void TransposeLowerSolve(DenseColumn *rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00831">sparse.cc:831</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a37ac057f213297550a26947d551324a3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a37ac057f213297550a26947d551324a3">operations_research::glop::CompactSparseMatrix::starts_</a></div><div class="ttdeci">StrictITIVector< ColIndex, EntryIndex > starts_</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00461">sparse.h:461</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_ae1b90982a83e1b025ebbc1c446980640"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ae1b90982a83e1b025ebbc1c446980640">operations_research::glop::SparseMatrix::PopulateFromZero</a></div><div class="ttdeci">void PopulateFromZero(RowIndex num_rows, ColIndex num_cols)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00164">sparse.cc:164</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">operations_research::glop::CompactSparseMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00288">sparse.h:288</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_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>
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<div class="ttc" id="aalldiff__cst_8cc_html_a021e695f54a13bd809c34b2f4ca87c37"><div class="ttname"><a href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a></div><div class="ttdeci">int64 min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00138">alldiff_cst.cc:138</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a3e1b01501c922d36c55fb59cfc18e630"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3e1b01501c922d36c55fb59cfc18e630">operations_research::glop::TriangularMatrix::Swap</a></div><div class="ttdeci">void Swap(TriangularMatrix *other)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00593">sparse.cc:593</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ae096114c2adaa8e7bac718ce450e135f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ae096114c2adaa8e7bac718ce450e135f">operations_research::glop::TriangularMatrix::PermutedLowerSolve</a></div><div class="ttdeci">void PermutedLowerSolve(const SparseColumn &rhs, const RowPermutation &row_perm, const RowMapping &partial_inverse_row_perm, SparseColumn *lower, SparseColumn *upper) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00998">sparse.cc:998</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_a058bda4957df6a97b1ea6c9fd783f672"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#a058bda4957df6a97b1ea6c9fd783f672">gtl::ITIVector::pop_back</a></div><div class="ttdeci">void pop_back()</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00167">int_type_indexed_vector.h:167</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_ab2d8beb101c26b08a8af602300da1748"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ab2d8beb101c26b08a8af602300da1748">operations_research::glop::SparseMatrix::AppendRowsFromSparseMatrix</a></div><div class="ttdeci">bool AppendRowsFromSparseMatrix(const SparseMatrix &matrix)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00302">sparse.cc:302</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::SparseVector::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00479">sparse_vector.h:479</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a2ffa6dbb95dfb7e397bf69fd1ddd188e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a2ffa6dbb95dfb7e397bf69fd1ddd188e">operations_research::glop::TriangularMatrix::AddTriangularColumnWithGivenDiagonalEntry</a></div><div class="ttdeci">void AddTriangularColumnWithGivenDiagonalEntry(const SparseColumn &column, RowIndex diagonal_row, Fractional diagonal_value)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00672">sparse.cc:672</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ad29d43a5efb42cbdbaa131d8a9dc91f9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad29d43a5efb42cbdbaa131d8a9dc91f9">operations_research::glop::TriangularMatrix::TransposeUpperSolve</a></div><div class="ttdeci">void TransposeUpperSolve(DenseColumn *rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00801">sparse.cc:801</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_random_access_sparse_column_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::RandomAccessSparseColumn::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8cc_source.html#l00031">sparse_column.cc:31</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a06d22c92f8b45b18560b46797f98a81b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a06d22c92f8b45b18560b46797f98a81b">operations_research::glop::SparseMatrix::AppendUnitVector</a></div><div class="ttdeci">void AppendUnitVector(RowIndex row, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00151">sparse.cc:151</a></div></div>
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<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>
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<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 &dense_column, const std::vector< RowIndex > &non_zeros)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00554">sparse.cc:554</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_af3dcc960bfe6b9064cdc9ce6ab04fa1d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#af3dcc960bfe6b9064cdc9ce6ab04fa1d">operations_research::glop::TriangularMatrix::HyperSparseSolveWithReversedNonZeros</a></div><div class="ttdeci">void HyperSparseSolveWithReversedNonZeros(DenseColumn *rhs, RowIndexVector *non_zero_rows) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00899">sparse.cc:899</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_af782744bdb01cf56841a0de18ccca3ce"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af782744bdb01cf56841a0de18ccca3ce">operations_research::glop::SparseMatrix::Equals</a></div><div class="ttdeci">bool Equals(const SparseMatrix &a, Fractional tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00327">sparse.cc:327</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a8d3594198944bf0a6ac2669581085683"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8d3594198944bf0a6ac2669581085683">operations_research::glop::TriangularMatrix::AddAndNormalizeTriangularColumn</a></div><div class="ttdeci">void AddAndNormalizeTriangularColumn(const SparseColumn &column, RowIndex diagonal_row, Fractional diagonal_coefficient)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00655">sparse.cc:655</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_matrix_view_html_a64fea3282d498f3eb2d4af70692bb117"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_matrix_view.html#a64fea3282d498f3eb2d4af70692bb117">operations_research::glop::MatrixView::ComputeOneNorm</a></div><div class="ttdeci">Fractional ComputeOneNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00420">sparse.cc:420</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<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>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_a9263000d449fdccb6cb70b303063e60b"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#a9263000d449fdccb6cb70b303063e60b">gtl::ITIVector::push_back</a></div><div class="ttdeci">void push_back(const value_type &x)</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00157">int_type_indexed_vector.h:157</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_aed842e8403e5fc09b23ead11e415d32e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#aed842e8403e5fc09b23ead11e415d32e">operations_research::glop::CompactSparseMatrix::PopulateFromMatrixView</a></div><div class="ttdeci">void PopulateFromMatrixView(const MatrixView &input)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00437">sparse.cc:437</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_view_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix_view.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::CompactSparseMatrixView::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00601">sparse.cc:601</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_a21edc7ca4cc5802c8779d68556bc09cf"><div class="ttname"><a href="demon__profiler_8cc.html#a21edc7ca4cc5802c8779d68556bc09cf">value</a></div><div class="ttdeci">int64 value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
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<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>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ac87e05f0b7e5dc3e4d6764060b4b58c9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ac87e05f0b7e5dc3e4d6764060b4b58c9">operations_research::glop::TriangularMatrix::PermutedComputeRowsToConsider</a></div><div class="ttdeci">void PermutedComputeRowsToConsider(const ColumnView &rhs, const RowPermutation &row_perm, RowIndexVector *lower_column_rows, RowIndexVector *upper_column_rows)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l01116">sparse.cc:1116</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_random_access_sparse_column_html_ab988bcb6c80bbc7853904ea85328a007"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#ab988bcb6c80bbc7853904ea85328a007">operations_research::glop::RandomAccessSparseColumn::GetCoefficient</a></div><div class="ttdeci">Fractional GetCoefficient(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00171">sparse_column.h:171</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_ad69bd11391be1a1dba5c8202259664f8"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#ad69bd11391be1a1dba5c8202259664f8">gtl::ITIVector::begin</a></div><div class="ttdeci">iterator begin()</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00137">int_type_indexed_vector.h:137</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a5e67a7d14b4aed3b0f54e453ed5fc7fe"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a5e67a7d14b4aed3b0f54e453ed5fc7fe">operations_research::glop::TriangularMatrix::TransposeHyperSparseSolveWithReversedNonZeros</a></div><div class="ttdeci">void TransposeHyperSparseSolveWithReversedNonZeros(DenseColumn *rhs, RowIndexVector *non_zero_rows) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00960">sparse.cc:960</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a71d81a062179f9fa4a2c133b72aaf0d8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a71d81a062179f9fa4a2c133b72aaf0d8">operations_research::glop::TriangularMatrix::LowerSolveStartingAt</a></div><div class="ttdeci">void LowerSolveStartingAt(ColIndex start, DenseColumn *rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00741">sparse.cc:741</a></div></div>
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<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>
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<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>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_aa1c2872fa7d491d4c093c8b2124a53b9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa1c2872fa7d491d4c093c8b2124a53b9">operations_research::glop::SparseMatrix::PopulateFromProduct</a></div><div class="ttdeci">void PopulateFromProduct(const SparseMatrix &a, const SparseMatrix &b)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00250">sparse.cc:250</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a566008ab9fd3e3dbec96263bc3c45061"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a566008ab9fd3e3dbec96263bc3c45061">operations_research::glop::SparseMatrix::LookUpValue</a></div><div class="ttdeci">Fractional LookUpValue(RowIndex row, ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00323">sparse.cc:323</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_matrix_view_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_matrix_view.html">operations_research::glop::MatrixView</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00218">sparse.h:218</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ab5a8a005f27ece21134c277a33057c70"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ab5a8a005f27ece21134c277a33057c70">operations_research::glop::TriangularMatrix::AddTriangularColumn</a></div><div class="ttdeci">void AddTriangularColumn(const ColumnView &column, RowIndex diagonal_row)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00640">sparse.cc:640</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::TriangularMatrix::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00514">sparse.h:514</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_acbbc88405e6db3fe77064e1a3d4e402a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#acbbc88405e6db3fe77064e1a3d4e402a">operations_research::glop::SparseMatrix::PopulateFromSparseMatrix</a></div><div class="ttdeci">void PopulateFromSparseMatrix(const SparseMatrix &matrix)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00206">sparse.cc:206</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_ae90055942b6d795d495d370afed742a9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#ae90055942b6d795d495d370afed742a9">operations_research::glop::SparseVector::Reserve</a></div><div class="ttdeci">void Reserve(EntryIndex new_capacity)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00495">sparse_vector.h:495</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::CompactSparseMatrix::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00340">sparse.h:340</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_afd6d278f9d061a91716c6770f2d723e8"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#afd6d278f9d061a91716c6770f2d723e8">operations_research::glop::ToDouble</a></div><div class="ttdeci">static double ToDouble(double f)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00068">lp_types.h:68</a></div></div>
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<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< RowIndex > *non_zeros)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00569">sparse.cc:569</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a860e7a37e8c7c2f5f7f0a73d3e3473f0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a860e7a37e8c7c2f5f7f0a73d3e3473f0">operations_research::glop::SparseMatrix::DeleteRows</a></div><div class="ttdeci">void DeleteRows(RowIndex num_rows, const RowPermutation &permutation)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00289">sparse.cc:289</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_column_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_column.html">operations_research::glop::SparseColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00044">sparse_column.h:44</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a3f219a081f88c22ae282ada4f0bdddd3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a3f219a081f88c22ae282ada4f0bdddd3">operations_research::glop::SparseMatrix::ComputeInfinityNorm</a></div><div class="ttdeci">Fractional ComputeInfinityNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00395">sparse.cc:395</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_random_access_sparse_column_html_aaa5aa6d2fc9aaefcbc8688ceb127fb8a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#aaa5aa6d2fc9aaefcbc8688ceb127fb8a">operations_research::glop::RandomAccessSparseColumn::PopulateSparseColumn</a></div><div class="ttdeci">void PopulateSparseColumn(SparseColumn *sparse_column) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8cc_source.html#l00057">sparse_column.cc:57</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a985078d2d3022f616d3c355373c7d20e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a985078d2d3022f616d3c355373c7d20e">operations_research::glop::TriangularMatrix::ComputeRowsToConsiderInSortedOrder</a></div><div class="ttdeci">void ComputeRowsToConsiderInSortedOrder(RowIndexVector *non_zero_rows, Fractional sparsity_ratio, Fractional num_ops_ratio) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l01314">sparse.cc:1314</a></div></div>
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<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>
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<div class="ttc" id="apack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00508">pack.cc:508</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ae95eb4b81113f212b6aae874a15808df"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ae95eb4b81113f212b6aae874a15808df">operations_research::glop::TriangularMatrix::AddDiagonalOnlyColumn</a></div><div class="ttdeci">void AddDiagonalOnlyColumn(Fractional diagonal_value)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00636">sparse.cc:636</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a5d6d5d7a7944b09bd0df4b7132fe5f7e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a5d6d5d7a7944b09bd0df4b7132fe5f7e">operations_research::glop::CompactSparseMatrix::num_rows_</a></div><div class="ttdeci">RowIndex num_rows_</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00453">sparse.h:453</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_a644718bb2fb240de962dc3c9a1fdf0dc"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">gtl::ITIVector::empty</a></div><div class="ttdeci">bool empty() const</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00155">int_type_indexed_vector.h:155</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_aeebcdc829c541f3ca21a15784f02fe9c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#aeebcdc829c541f3ca21a15784f02fe9c">operations_research::glop::TriangularMatrix::Reset</a></div><div class="ttdeci">void Reset(RowIndex num_rows, ColIndex col_capacity)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00524">sparse.cc:524</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_ace1973900f4d921a7bedbcbe36e1bcad"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ace1973900f4d921a7bedbcbe36e1bcad">operations_research::glop::SparseMatrix::ApplyRowPermutation</a></div><div class="ttdeci">void ApplyRowPermutation(const RowPermutation &row_perm)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00316">sparse.cc:316</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_af9a790b7e8c5b0c6d55b336177378e78"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">operations_research::glop::kInfinity</a></div><div class="ttdeci">const double kInfinity</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00083">lp_types.h:83</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_abedd52dbc024598bf0189235764f734a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#abedd52dbc024598bf0189235764f734a">operations_research::glop::TriangularMatrix::PermutedLowerSparseSolve</a></div><div class="ttdeci">void PermutedLowerSparseSolve(const ColumnView &rhs, const RowPermutation &row_perm, SparseColumn *lower, SparseColumn *upper)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l01038">sparse.cc:1038</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_acad38d52497a975bfb6f2f6acd76631f"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#acad38d52497a975bfb6f2f6acd76631f">gtl::ITIVector::end</a></div><div class="ttdeci">iterator end()</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00139">int_type_indexed_vector.h:139</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a86fd105be79f4f2dbaf3a21e64e4d022"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a86fd105be79f4f2dbaf3a21e64e4d022">operations_research::glop::SparseMatrix::AppendEmptyColumn</a></div><div class="ttdeci">ColIndex AppendEmptyColumn()</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00145">sparse.cc:145</a></div></div>
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<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 &v)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00274">lp_types.h:274</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a41741829541d089f1c4d34f190884813"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a41741829541d089f1c4d34f190884813">operations_research::glop::TriangularMatrix::num_cols</a></div><div class="ttdeci">ColIndex num_cols() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00513">sparse.h:513</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a41741829541d089f1c4d34f190884813"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">operations_research::glop::SparseMatrix::num_cols</a></div><div class="ttdeci">ColIndex num_cols() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00177">sparse.h:177</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_ac59fd9cddfe284bf9dc7581ed631ce8d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ac59fd9cddfe284bf9dc7581ed631ce8d">operations_research::glop::SparseMatrix::DeleteColumns</a></div><div class="ttdeci">void DeleteColumns(const DenseBooleanRow &columns_to_delete)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00276">sparse.cc:276</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_abfc30f91ab75c6f4552003f777672e74"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#abfc30f91ab75c6f4552003f777672e74">operations_research::glop::SparseMatrix::CleanUp</a></div><div class="ttdeci">void CleanUp()</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00119">sparse.cc:119</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a323801972c3d6de340e260de4582c34b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a323801972c3d6de340e260de4582c34b">operations_research::glop::SparseMatrix::PopulateFromIdentity</a></div><div class="ttdeci">void PopulateFromIdentity(ColIndex num_cols)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00172">sparse.cc:172</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html">operations_research::glop::SparseMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00061">sparse.h:61</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a1e9f788d4507f2461b4f775755aaf82e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a1e9f788d4507f2461b4f775755aaf82e">operations_research::glop::SparseMatrix::mutable_column</a></div><div class="ttdeci">SparseColumn * mutable_column(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00181">sparse.h:181</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a29edb960f882c54b9652853e94988e79"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a29edb960f882c54b9652853e94988e79">operations_research::glop::SparseMatrix::PopulateFromPermutedMatrix</a></div><div class="ttdeci">void PopulateFromPermutedMatrix(const Matrix &a, const RowPermutation &row_perm, const ColumnPermutation &inverse_col_perm)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00212">sparse.cc:212</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a53c98a21d13c8da595c0b4e63b699649"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a53c98a21d13c8da595c0b4e63b699649">operations_research::glop::TriangularMatrix::LowerSolve</a></div><div class="ttdeci">void LowerSolve(DenseColumn *rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00737">sparse.cc:737</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_ab93f952cf4db5c7f9a59163f933e5bbe"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#ab93f952cf4db5c7f9a59163f933e5bbe">gtl::ITIVector::swap</a></div><div class="ttdeci">void swap(ITIVector &x)</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00168">int_type_indexed_vector.h:168</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a5e016d204d43b2cc4a2773c25462968a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a">operations_research::glop::SparseMatrix::IsCleanedUp</a></div><div class="ttdeci">bool IsCleanedUp() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00135">sparse.cc:135</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a960110e64357a3e69162ebf1f71959dd"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a960110e64357a3e69162ebf1f71959dd">operations_research::glop::TriangularMatrix::num_rows</a></div><div class="ttdeci">RowIndex num_rows() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00512">sparse.h:512</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a79446a803c1bed8b17c8ac937d07be39"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a79446a803c1bed8b17c8ac937d07be39">operations_research::glop::SparseMatrix::SparseMatrix</a></div><div class="ttdeci">SparseMatrix()</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00087">sparse.cc:87</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a8c7ec7f3a8ab57639b0d1ea69b9e0e65"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a8c7ec7f3a8ab57639b0d1ea69b9e0e65">operations_research::glop::TriangularMatrix::CopyColumnToSparseColumn</a></div><div class="ttdeci">void CopyColumnToSparseColumn(ColIndex col, SparseColumn *output) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00720">sparse.cc:720</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a7323fee992a8f4516433b6928fedead6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a7323fee992a8f4516433b6928fedead6">operations_research::glop::TriangularMatrix::PopulateFromTranspose</a></div><div class="ttdeci">void PopulateFromTranspose(const TriangularMatrix &input)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00491">sparse.cc:491</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">operations_research::glop::SparseMatrix::num_rows</a></div><div class="ttdeci">RowIndex num_rows() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00176">sparse.h:176</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">operations_research::glop::StrictITIVector< RowIndex, bool ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::SparseMatrix::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00110">sparse.cc:110</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a2e5611d47d02e1029b98a8e9bee3469f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2e5611d47d02e1029b98a8e9bee3469f">operations_research::glop::SparseMatrix::CheckNoDuplicates</a></div><div class="ttdeci">bool CheckNoDuplicates() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00126">sparse.cc:126</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a31d19092aa0a8b6a87e8917c956a0610"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a31d19092aa0a8b6a87e8917c956a0610">operations_research::glop::TriangularMatrix::HyperSparseSolve</a></div><div class="ttdeci">void HyperSparseSolve(DenseColumn *rhs, RowIndexVector *non_zero_rows) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00869">sparse.cc:869</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a64fea3282d498f3eb2d4af70692bb117"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a64fea3282d498f3eb2d4af70692bb117">operations_research::glop::SparseMatrix::ComputeOneNorm</a></div><div class="ttdeci">Fractional ComputeOneNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00392">sparse.cc:392</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a6052657cbffbe19decf328bf369d58e1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a6052657cbffbe19decf328bf369d58e1">operations_research::glop::SparseMatrix::Swap</a></div><div class="ttdeci">void Swap(SparseMatrix *matrix)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00158">sparse.cc:158</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a8da36920b149053499a21e50fc859a93"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a8da36920b149053499a21e50fc859a93">operations_research::glop::CompactSparseMatrix::rows_</a></div><div class="ttdeci">StrictITIVector< EntryIndex, RowIndex > rows_</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00460">sparse.h:460</a></div></div>
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<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 &dense_column, RowIndex start)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00540">sparse.cc:540</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_afe3d36f3ba4f04442fbb36f8726f8baf"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#afe3d36f3ba4f04442fbb36f8726f8baf">operations_research::glop::CompactSparseMatrix::ColumnNumEntries</a></div><div class="ttdeci">EntryIndex ColumnNumEntries(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00335">sparse.h:335</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ad63534e863f93bfa52e8a1fad2db4538"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad63534e863f93bfa52e8a1fad2db4538">operations_research::glop::TriangularMatrix::ComputeRowsToConsiderWithDfs</a></div><div class="ttdeci">void ComputeRowsToConsiderWithDfs(RowIndexVector *non_zero_rows) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l01229">sparse.cc:1229</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a3ff3fd0b24bac0e4aee2402fbe352856"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3ff3fd0b24bac0e4aee2402fbe352856">operations_research::glop::TriangularMatrix::PopulateFromTriangularSparseMatrix</a></div><div class="ttdeci">void PopulateFromTriangularSparseMatrix(const SparseMatrix &input)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00683">sparse.cc:683</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html">operations_research::glop::TriangularMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00502">sparse.h:502</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a0c406d94c3586159071e0b370a5a02fb"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a0c406d94c3586159071e0b370a5a02fb">operations_research::glop::SparseMatrix::PopulateFromLinearCombination</a></div><div class="ttdeci">void PopulateFromLinearCombination(Fractional alpha, const SparseMatrix &a, Fractional beta, const SparseMatrix &b)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00225">sparse.cc:225</a></div></div>
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<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>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a2fe6f7470512f5301031480737375c88"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a2fe6f7470512f5301031480737375c88">operations_research::glop::SparseMatrix::PopulateFromTranspose</a></div><div class="ttdeci">void PopulateFromTranspose(const Matrix &input)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00181">sparse.cc:181</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_ab66e13ab146acabbfaf99ce9f75bf1d2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab66e13ab146acabbfaf99ce9f75bf1d2">operations_research::glop::CompactSparseMatrix::PopulateFromTranspose</a></div><div class="ttdeci">void PopulateFromTranspose(const CompactSparseMatrix &input)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00456">sparse.cc:456</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html">operations_research::glop::Permutation< RowIndex ></a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a930392173df6dce15fc905d089bd19aa"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a930392173df6dce15fc905d089bd19aa">operations_research::glop::TriangularMatrix::IsUpperTriangular</a></div><div class="ttdeci">bool IsUpperTriangular() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00702">sparse.cc:702</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a478299b61f785b5406d276ebe402aa64"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a478299b61f785b5406d276ebe402aa64">operations_research::glop::TriangularMatrix::IsLowerTriangular</a></div><div class="ttdeci">bool IsLowerTriangular() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00692">sparse.cc:692</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ada69c9026d5d933471bf27c9ad2d1b38"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ada69c9026d5d933471bf27c9ad2d1b38">operations_research::glop::TriangularMatrix::ComputeInverseInfinityNormUpperBound</a></div><div class="ttdeci">Fractional ComputeInverseInfinityNormUpperBound() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l01357">sparse.cc:1357</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_a6a48363b4355f6f5b441637774f79a59"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#a6a48363b4355f6f5b441637774f79a59">gtl::ITIVector::front</a></div><div class="ttdeci">reference front()</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00171">int_type_indexed_vector.h:171</a></div></div>
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<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< RowIndex, SparseColumnIterator >::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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_ab392807d136adb480aedec7750cbbb18"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#ab392807d136adb480aedec7750cbbb18">operations_research::glop::CompactSparseMatrix::coefficients_</a></div><div class="ttdeci">StrictITIVector< EntryIndex, Fractional > coefficients_</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00459">sparse.h:459</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_ac8bb3912a3ce86b15842e79d0b421204"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#ac8bb3912a3ce86b15842e79d0b421204">gtl::ITIVector::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00169">int_type_indexed_vector.h:169</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::SparseVector::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00270">sparse_vector.h:270</a></div></div>
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<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< EntryIndex > Column(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00358">sparse.h:358</a></div></div>
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<div class="ttc" id="aparser_8yy_8cc_html_a5a634cf4429798b1c921a81de8250051"><div class="ttname"><a href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a></div><div class="ttdeci">static int input(yyscan_t yyscanner)</div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a6ae7b0836055b9b6d182115027d496f9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a6ae7b0836055b9b6d182115027d496f9">operations_research::glop::SparseMatrix::ComputeMinAndMaxMagnitudes</a></div><div class="ttdeci">void ComputeMinAndMaxMagnitudes(Fractional *min_magnitude, Fractional *max_magnitude) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00369">sparse.cc:369</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ae5fa9e57c2d31b294195ed8a9e17bfac"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ae5fa9e57c2d31b294195ed8a9e17bfac">operations_research::glop::DenseColumn</a></div><div class="ttdeci">StrictITIVector< RowIndex, Fractional > DenseColumn</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00328">lp_types.h:328</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html_a1df2b3a4485e328397fda9b5f9b3ea2b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html#a1df2b3a4485e328397fda9b5f9b3ea2b">operations_research::glop::Permutation::size</a></div><div class="ttdeci">IndexType size() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_2permutation_8h_source.html#l00049">lp_data/permutation.h:49</a></div></div>
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<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 &dense_column)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00536">sparse.cc:536</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_a344010e26426d6a13411648d988bc9b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a344010e26426d6a13411648d988bc9b6">b</a></div><div class="ttdeci">int64 b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00043">constraint_solver/table.cc:43</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_ad001a49701677a22b4efd9186b97ae05"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#ad001a49701677a22b4efd9186b97ae05">operations_research::glop::TriangularMatrix::ApplyRowPermutationToNonDiagonalEntries</a></div><div class="ttdeci">void ApplyRowPermutationToNonDiagonalEntries(const RowPermutation &row_perm)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00712">sparse.cc:712</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_matrix_view_html_a3f219a081f88c22ae282ada4f0bdddd3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_matrix_view.html#a3f219a081f88c22ae282ada4f0bdddd3">operations_research::glop::MatrixView::ComputeInfinityNorm</a></div><div class="ttdeci">Fractional ComputeInfinityNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00423">sparse.cc:423</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_matrix_view_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_matrix_view.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::MatrixView::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00419">sparse.cc:419</a></div></div>
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<div class="ttc" id="aclassgtl_1_1_i_t_i_vector_html_af71e6c1eccbc12e9339c00a86a981a43"><div class="ttname"><a href="classgtl_1_1_i_t_i_vector.html#af71e6c1eccbc12e9339c00a86a981a43">gtl::ITIVector::back</a></div><div class="ttdeci">reference back()</div><div class="ttdef"><b>Definition:</b> <a href="int__type__indexed__vector_8h_source.html#l00173">int_type_indexed_vector.h:173</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a8e12342fc420701fbffd97025421575a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a8e12342fc420701fbffd97025421575a">operations_research::glop::SparseMatrix::IsEmpty</a></div><div class="ttdeci">bool IsEmpty() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00115">sparse.cc:115</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a0358eb2d6ea480b59d89dc42326cf840"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a0358eb2d6ea480b59d89dc42326cf840">operations_research::glop::CompactSparseMatrix::num_cols_</a></div><div class="ttdeci">ColIndex num_cols_</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00454">sparse.h:454</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_random_access_sparse_column_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html">operations_research::glop::RandomAccessSparseColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00130">sparse_column.h:130</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a138580a401252ec46ad8e08925e4e92e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a138580a401252ec46ad8e08925e4e92e">operations_research::glop::TriangularMatrix::CopyToSparseMatrix</a></div><div class="ttdeci">void CopyToSparseMatrix(SparseMatrix *output) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00730">sparse.cc:730</a></div></div>
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<div class="ttc" id="alp__data_2permutation_8h_html"><div class="ttname"><a href="lp__data_2permutation_8h.html">permutation.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_random_access_sparse_column_html_a6b6ed150baaae3251d84ccd30043173a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_random_access_sparse_column.html#a6b6ed150baaae3251d84ccd30043173a">operations_research::glop::RandomAccessSparseColumn::AddToCoefficient</a></div><div class="ttdeci">void AddToCoefficient(RowIndex row, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00152">sparse_column.h:152</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a3089393e5f2314b28878f49fd97398b1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3089393e5f2314b28878f49fd97398b1">operations_research::glop::TriangularMatrix::UpperSolve</a></div><div class="ttdeci">void UpperSolve(DenseColumn *rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00770">sparse.cc:770</a></div></div>
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<div class="ttc" id="anamespaceutil_html_a1e2d5c05e25343bc8e4fbccce0000d51"><div class="ttname"><a href="namespaceutil.html#a1e2d5c05e25343bc8e4fbccce0000d51">util::Reverse</a></div><div class="ttdeci">BeginEndReverseIteratorWrapper< Container > Reverse(const Container &c)</div><div class="ttdef"><b>Definition:</b> <a href="iterators_8h_source.html#l00098">iterators.h:98</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::SparseMatrix::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00389">sparse.cc:389</a></div></div>
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<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a31ee82f6ef05c3da492c0376f910d015"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a31ee82f6ef05c3da492c0376f910d015">operations_research::glop::kInvalidRow</a></div><div class="ttdeci">const RowIndex kInvalidRow(-1)</div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_ab4a8456683d4572bd9426efab8489e99"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#ab4a8456683d4572bd9426efab8489e99">operations_research::glop::SparseMatrix::Dump</a></div><div class="ttdeci">std::string Dump() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00399">sparse.cc:399</a></div></div>
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<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>
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<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< RowIndex > RowIndexVector</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00309">lp_types.h:309</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a11284f21acc7de7ea63f5ebfebb5c9e7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a11284f21acc7de7ea63f5ebfebb5c9e7">operations_research::glop::TriangularMatrix::TransposeHyperSparseSolve</a></div><div class="ttdeci">void TransposeHyperSparseSolve(DenseColumn *rhs, RowIndexVector *non_zero_rows) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00930">sparse.cc:930</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_triangular_matrix_html_a3a6bb95b9009b1c578a27e6139d52696"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_triangular_matrix.html#a3a6bb95b9009b1c578a27e6139d52696">operations_research::glop::TriangularMatrix::ComputeInverseInfinityNorm</a></div><div class="ttdeci">Fractional ComputeInverseInfinityNorm() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l01382">sparse.cc:1382</a></div></div>
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<div class="ttc" id="asparse_8h_html"><div class="ttname"><a href="sparse_8h.html">sparse.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_vector_html_abfc30f91ab75c6f4552003f777672e74"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_vector.html#abfc30f91ab75c6f4552003f777672e74">operations_research::glop::SparseVector::CleanUp</a></div><div class="ttdeci">void CleanUp()</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector_8h_source.html#l00544">sparse_vector.h:544</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a70b01012631e2165a63688dbb05ff2ea"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a70b01012631e2165a63688dbb05ff2ea">operations_research::glop::CompactSparseMatrix::Swap</a></div><div class="ttdeci">void Swap(CompactSparseMatrix *other)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00585">sparse.cc:585</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a55265e26d9e69e2d7a882bab054b8139"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a55265e26d9e69e2d7a882bab054b8139">operations_research::glop::SparseMatrix::SetNumRows</a></div><div class="ttdeci">void SetNumRows(RowIndex num_rows)</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00143">sparse.cc:143</a></div></div>
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