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<a href="sharded__quadratic__program_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef PDLP_SHARDED_QUADRATIC_PROGRAM_H_</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define PDLP_SHARDED_QUADRATIC_PROGRAM_H_</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;memory&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;Eigen/Core&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;Eigen/SparseCore&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="threadpool_8h.html">ortools/base/threadpool.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;<a class="code" href="quadratic__program_8h.html">ortools/pdlp/quadratic_program.h</a>&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;<a class="code" href="sharder_8h.html">ortools/pdlp/sharder.h</a>&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research_1_1pdlp.html">operations_research::pdlp</a> {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">// This class stores:</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">// - A QuadraticProgram (QP)</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// - A transposed version of the QP&#39;s constraint matrix</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// - A thread pool</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// - Various Sharder objects for doing sharded matrix and vector computations.</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html"> 33</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a> {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// Requires num_shards &gt;= num_threads &gt;= 1.</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// Note that the qp is intentionally passed by value.</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a2b0ac472da1c6933805c1f9e1a67d750">ShardedQuadraticProgram</a>(<a class="code hl_struct" href="structoperations__research_1_1pdlp_1_1_quadratic_program.html">QuadraticProgram</a> qp, <span class="keywordtype">int</span> num_threads, <span class="keywordtype">int</span> num_shards);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// Movable but not copyable.</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#aa4f3c979490996bbbcc90f933caf9e1a"> 40</a></span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#aa4f3c979490996bbbcc90f933caf9e1a">ShardedQuadraticProgram</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a>&amp;) = <span class="keyword">delete</span>;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ac9b2c8d9308994956a76cd275923b8a6"> 41</a></span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ac9b2c8d9308994956a76cd275923b8a6">operator=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a>&amp;) = <span class="keyword">delete</span>;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a8bb234fe26f6a554c1a4b885feafc2cb"> 42</a></span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a8bb234fe26f6a554c1a4b885feafc2cb">ShardedQuadraticProgram</a>(<a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a>&amp;&amp;) = <span class="keywordflow">default</span>;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a0d1884c92dae53d0604e427c81dc1602"> 43</a></span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a0d1884c92dae53d0604e427c81dc1602">operator=</a>(<a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">ShardedQuadraticProgram</a>&amp;&amp;) = <span class="keywordflow">default</span>;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#abfdc79e4b2325ff283b7d2333d40fffe"> 45</a></span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1pdlp_1_1_quadratic_program.html">QuadraticProgram</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#abfdc79e4b2325ff283b7d2333d40fffe">Qp</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> qp_; }</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// Returns a reference to the transpose of the QP&#39;s constraint matrix.</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">const</span> Eigen::SparseMatrix&lt;double, Eigen::ColMajor, int64_t&gt;&amp;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a1e0d1154156a56084d0ba5232819b134"> 49</a></span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a1e0d1154156a56084d0ba5232819b134">TransposedConstraintMatrix</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">return</span> transposed_constraint_matrix_;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// Returns a Sharder intended for the columns of the QP&#39;s constraint matrix.</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ac9f7db642c1b4c4fc37f489f03d110a7"> 54</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ac9f7db642c1b4c4fc37f489f03d110a7">ConstraintMatrixSharder</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">return</span> constraint_matrix_sharder_;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// Returns a Sharder intended for the rows of the QP&#39;s constraint matrix.</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a8bf92cdb63b602aba6f4d22b975e2f30"> 58</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a8bf92cdb63b602aba6f4d22b975e2f30">TransposedConstraintMatrixSharder</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> transposed_constraint_matrix_sharder_;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Returns a Sharder intended for primal vectors.</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ab7ab55f549e3f9c1a1c8c8d2b766f75b"> 62</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ab7ab55f549e3f9c1a1c8c8d2b766f75b">PrimalSharder</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> primal_sharder_; }</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// Returns a Sharder intended for dual vectors.</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a101ca40b60dd25bbf6271bef1370e8d1"> 64</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>&amp; <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a101ca40b60dd25bbf6271bef1370e8d1">DualSharder</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> dual_sharder_; }</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ab945b88f1937277a896d4c7c7935d605"> 66</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ab945b88f1937277a896d4c7c7935d605">PrimalSize</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> qp_.<a class="code hl_variable" href="structoperations__research_1_1pdlp_1_1_quadratic_program.html#a0f72e7b49f91d0b980f5a54a18c06964">variable_lower_bounds</a>.size(); }</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#afcafa95b1a351212291c7a030deec52a"> 67</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#afcafa95b1a351212291c7a030deec52a">DualSize</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> qp_.<a class="code hl_variable" href="structoperations__research_1_1pdlp_1_1_quadratic_program.html#a61349a88b7e83784a92be3d231cfa638">constraint_lower_bounds</a>.size(); }</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// Rescale the QP (including objective, variable bounds, constraint bounds,</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// constraint matrix, and transposed constraint matrix) based on</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// col_scaling_vec and row_scaling_vec. That is, rescale the problem so that</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// each variable is rescaled as variable[i] &lt;- variable[i] /</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// col_scaling_vec[i], and the j-th constraint is multiplied by</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// row_scaling_vec[j]. col_scaling_vec and row_scaling_vec must be positive.</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a11d751c453d716f5462803d590adbe73">RescaleQuadraticProgram</a>(<span class="keyword">const</span> Eigen::VectorXd&amp; col_scaling_vec,</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> Eigen::VectorXd&amp; row_scaling_vec);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_struct" href="structoperations__research_1_1pdlp_1_1_quadratic_program.html">QuadraticProgram</a> qp_;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> Eigen::SparseMatrix&lt;double, Eigen::ColMajor, int64_t&gt;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> transposed_constraint_matrix_;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> std::unique_ptr&lt;ThreadPool&gt; thread_pool_;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a> constraint_matrix_sharder_;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a> transposed_constraint_matrix_sharder_;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a> primal_sharder_;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a> dual_sharder_;</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span>};</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>} <span class="comment">// namespace operations_research::pdlp</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="preprocessor">#endif </span><span class="comment">// PDLP_SHARDED_QUADRATIC_PROGRAM_H_</span></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html">operations_research::pdlp::ShardedQuadraticProgram</a></div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00033">sharded_quadratic_program.h:33</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a0d1884c92dae53d0604e427c81dc1602"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a0d1884c92dae53d0604e427c81dc1602">operations_research::pdlp::ShardedQuadraticProgram::operator=</a></div><div class="ttdeci">ShardedQuadraticProgram &amp; operator=(ShardedQuadraticProgram &amp;&amp;)=default</div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a101ca40b60dd25bbf6271bef1370e8d1"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a101ca40b60dd25bbf6271bef1370e8d1">operations_research::pdlp::ShardedQuadraticProgram::DualSharder</a></div><div class="ttdeci">const Sharder &amp; DualSharder() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00064">sharded_quadratic_program.h:64</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a11d751c453d716f5462803d590adbe73"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a11d751c453d716f5462803d590adbe73">operations_research::pdlp::ShardedQuadraticProgram::RescaleQuadraticProgram</a></div><div class="ttdeci">void RescaleQuadraticProgram(const Eigen::VectorXd &amp;col_scaling_vec, const Eigen::VectorXd &amp;row_scaling_vec)</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8cc_source.html#l00120">sharded_quadratic_program.cc:120</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a1e0d1154156a56084d0ba5232819b134"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a1e0d1154156a56084d0ba5232819b134">operations_research::pdlp::ShardedQuadraticProgram::TransposedConstraintMatrix</a></div><div class="ttdeci">const Eigen::SparseMatrix&lt; double, Eigen::ColMajor, int64_t &gt; &amp; TransposedConstraintMatrix() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00049">sharded_quadratic_program.h:49</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a2b0ac472da1c6933805c1f9e1a67d750"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a2b0ac472da1c6933805c1f9e1a67d750">operations_research::pdlp::ShardedQuadraticProgram::ShardedQuadraticProgram</a></div><div class="ttdeci">ShardedQuadraticProgram(QuadraticProgram qp, int num_threads, int num_shards)</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8cc_source.html#l00062">sharded_quadratic_program.cc:62</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a8bb234fe26f6a554c1a4b885feafc2cb"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a8bb234fe26f6a554c1a4b885feafc2cb">operations_research::pdlp::ShardedQuadraticProgram::ShardedQuadraticProgram</a></div><div class="ttdeci">ShardedQuadraticProgram(ShardedQuadraticProgram &amp;&amp;)=default</div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_a8bf92cdb63b602aba6f4d22b975e2f30"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#a8bf92cdb63b602aba6f4d22b975e2f30">operations_research::pdlp::ShardedQuadraticProgram::TransposedConstraintMatrixSharder</a></div><div class="ttdeci">const Sharder &amp; TransposedConstraintMatrixSharder() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00058">sharded_quadratic_program.h:58</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_aa4f3c979490996bbbcc90f933caf9e1a"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#aa4f3c979490996bbbcc90f933caf9e1a">operations_research::pdlp::ShardedQuadraticProgram::ShardedQuadraticProgram</a></div><div class="ttdeci">ShardedQuadraticProgram(const ShardedQuadraticProgram &amp;)=delete</div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_ab7ab55f549e3f9c1a1c8c8d2b766f75b"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ab7ab55f549e3f9c1a1c8c8d2b766f75b">operations_research::pdlp::ShardedQuadraticProgram::PrimalSharder</a></div><div class="ttdeci">const Sharder &amp; PrimalSharder() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00062">sharded_quadratic_program.h:62</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_ab945b88f1937277a896d4c7c7935d605"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ab945b88f1937277a896d4c7c7935d605">operations_research::pdlp::ShardedQuadraticProgram::PrimalSize</a></div><div class="ttdeci">int64_t PrimalSize() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00066">sharded_quadratic_program.h:66</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_abfdc79e4b2325ff283b7d2333d40fffe"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#abfdc79e4b2325ff283b7d2333d40fffe">operations_research::pdlp::ShardedQuadraticProgram::Qp</a></div><div class="ttdeci">const QuadraticProgram &amp; Qp() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00045">sharded_quadratic_program.h:45</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_ac9b2c8d9308994956a76cd275923b8a6"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ac9b2c8d9308994956a76cd275923b8a6">operations_research::pdlp::ShardedQuadraticProgram::operator=</a></div><div class="ttdeci">ShardedQuadraticProgram &amp; operator=(const ShardedQuadraticProgram &amp;)=delete</div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_ac9f7db642c1b4c4fc37f489f03d110a7"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#ac9f7db642c1b4c4fc37f489f03d110a7">operations_research::pdlp::ShardedQuadraticProgram::ConstraintMatrixSharder</a></div><div class="ttdeci">const Sharder &amp; ConstraintMatrixSharder() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00054">sharded_quadratic_program.h:54</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharded_quadratic_program_html_afcafa95b1a351212291c7a030deec52a"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharded_quadratic_program.html#afcafa95b1a351212291c7a030deec52a">operations_research::pdlp::ShardedQuadraticProgram::DualSize</a></div><div class="ttdeci">int64_t DualSize() const</div><div class="ttdef"><b>Definition:</b> <a href="sharded__quadratic__program_8h_source.html#l00067">sharded_quadratic_program.h:67</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html">operations_research::pdlp::Sharder</a></div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00034">sharder.h:34</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html">operations_research::pdlp</a></div><div class="ttdef"><b>Definition:</b> <a href="iteration__stats_8cc_source.html#l00040">iteration_stats.cc:40</a></div></div>
<div class="ttc" id="aquadratic__program_8h_html"><div class="ttname"><a href="quadratic__program_8h.html">quadratic_program.h</a></div></div>
<div class="ttc" id="asharder_8h_html"><div class="ttname"><a href="sharder_8h.html">sharder.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1pdlp_1_1_quadratic_program_html"><div class="ttname"><a href="structoperations__research_1_1pdlp_1_1_quadratic_program.html">operations_research::pdlp::QuadraticProgram</a></div><div class="ttdef"><b>Definition:</b> <a href="quadratic__program_8h_source.html#l00054">quadratic_program.h:54</a></div></div>
<div class="ttc" id="astructoperations__research_1_1pdlp_1_1_quadratic_program_html_a0f72e7b49f91d0b980f5a54a18c06964"><div class="ttname"><a href="structoperations__research_1_1pdlp_1_1_quadratic_program.html#a0f72e7b49f91d0b980f5a54a18c06964">operations_research::pdlp::QuadraticProgram::variable_lower_bounds</a></div><div class="ttdeci">Eigen::VectorXd variable_lower_bounds</div><div class="ttdef"><b>Definition:</b> <a href="quadratic__program_8h_source.html#l00133">quadratic_program.h:133</a></div></div>
<div class="ttc" id="astructoperations__research_1_1pdlp_1_1_quadratic_program_html_a61349a88b7e83784a92be3d231cfa638"><div class="ttname"><a href="structoperations__research_1_1pdlp_1_1_quadratic_program.html#a61349a88b7e83784a92be3d231cfa638">operations_research::pdlp::QuadraticProgram::constraint_lower_bounds</a></div><div class="ttdeci">Eigen::VectorXd constraint_lower_bounds</div><div class="ttdef"><b>Definition:</b> <a href="quadratic__program_8h_source.html#l00132">quadratic_program.h:132</a></div></div>
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