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<a href="sharder_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef PDLP_SHARDER_H_</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define PDLP_SHARDER_H_</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <functional></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <type_traits></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "Eigen/Core"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "Eigen/SparseCore"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "<a class="code" href="threadpool_8h.html">ortools/base/threadpool.h</a>"</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research_1_1pdlp.html">operations_research::pdlp</a> {</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">// This class represents a way to shard elements for multi-threading. The</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// elements may be entries of a vector or the columns of a (column-major)</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// matrix. The shards are selected to have roughly the same mass, where the mass</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// of an entry depends on the constructor used. See the free functions below and</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// in the .cc file for example usage.</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html"> 34</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a> {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// These are public aliases for convenience. They will change only if there</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// are breaking changes in Eigen.</span></div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a56901285040a10466e482f274a9d0f79"> 38</a></span> <span class="keyword">using</span> <a class="code hl_typedef" href="classoperations__research_1_1pdlp_1_1_sharder.html#a56901285040a10466e482f274a9d0f79">ConstSparseColumnBlock</a> = ::Eigen::Block<</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>,</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">/*BlockRows=*/</span>Eigen::Dynamic, <span class="comment">/*BlockCols=*/</span>Eigen::Dynamic,</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">/*InnerPanel=*/</span><span class="keyword">true</span>>;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9f718234975f4f992c3c348a194098b3"> 42</a></span> <span class="keyword">using</span> <a class="code hl_typedef" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9f718234975f4f992c3c348a194098b3">SparseColumnBlock</a> =</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> ::Eigen::Block<Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>,</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="comment">/*BlockRows=*/</span>Eigen::Dynamic, <span class="comment">/*BlockCols=*/</span>Eigen::Dynamic,</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">/*InnerPanel=*/</span><span class="keyword">true</span>>;</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// This class extracts a particular shard of vectors or matrices passed to it.</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// See ParallelForEachShard().</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// Caution: Like absl::Span, Shard::operator() returns mutable or immutable</span></div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// views into the vector or matrix argument. The underlying object must</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// outlive the view.</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// Extra Caution: The const& arguments for the immutable views can bind to</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// temporary objects, e.g., shard(3*a) will create a view into the "3*a"</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// object that will be destroyed immediately after the shard is created.</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html"> 55</a></span> <span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a> {</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// Returns this shard of the given vector.</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#ab1069a7b0af82e83d6eade92abd527a8"> 58</a></span> Eigen::VectorBlock<const Eigen::VectorXd> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#ab1069a7b0af82e83d6eade92abd527a8">operator()</a>(</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> Eigen::VectorXd& vector)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(vector.size(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">return</span> vector.segment(parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_));</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> }</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// Returns this shard of the given vector in mutable form.</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a2903bcb8accb998c524e802963c338a0"> 65</a></span> Eigen::VectorBlock<Eigen::VectorXd> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a2903bcb8accb998c524e802963c338a0">operator()</a>(</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> Eigen::VectorXd& vector)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(vector.size(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">return</span> vector.segment(parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_));</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> }</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// Returns this shard of the given VectorBlock.</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a9efc737466aa901e6a11eea87a1fcdcf"> 72</a></span> Eigen::VectorBlock<const Eigen::VectorXd> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a9efc737466aa901e6a11eea87a1fcdcf">operator()</a>(</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> Eigen::VectorBlock<const Eigen::VectorXd> vector)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(vector.size(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">return</span> Eigen::VectorBlock<const Eigen::VectorXd>(</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> vector.nestedExpression(),</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> vector.startRow() + parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_));</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// Returns this shard of the given VectorBlock in mutable form.</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a33bc5245f06733030050a880583bdf80"> 81</a></span> Eigen::VectorBlock<Eigen::VectorXd> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a33bc5245f06733030050a880583bdf80">operator()</a>(</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> Eigen::VectorBlock<Eigen::VectorXd> vector)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(vector.size(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> Eigen::VectorBlock<Eigen::VectorXd>(</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> vector.nestedExpression(),</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> vector.startRow() + parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_));</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Returns this shard of the given DiagonalMatrix. Note that the shard is</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// a *square* diagonal matrix, not a block of columns of original length.</span></div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a0eeb46542f0bfd264cdee63f14c49fbc"> 91</a></span> <span class="keyword">auto</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a0eeb46542f0bfd264cdee63f14c49fbc">operator()</a>(<span class="keyword">const</span> Eigen::DiagonalMatrix<double, Eigen::Dynamic>& diag)</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">const</span> -> <span class="keyword">decltype</span>(diag.diagonal().segment(0, 0).asDiagonal()) {</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(diag.diagonal().size(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span> diag.diagonal()</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> .segment(parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_))</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> .asDiagonal();</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// Returns this shard of the columns of the given matrix.</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8653e07fd6f44735992b87ce98facd42"> 100</a></span> <a class="code hl_typedef" href="classoperations__research_1_1pdlp_1_1_sharder.html#a56901285040a10466e482f274a9d0f79">ConstSparseColumnBlock</a> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8653e07fd6f44735992b87ce98facd42">operator()</a>(</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix)<span class="keyword"></span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix.cols(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">auto</span> result = matrix.middleCols(parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_));</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// This is a guard against implicit conversions, because the return type</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// of middleCols is not 100% clear from the documentation.</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">static_assert</span>(</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> std::is_same<<span class="keyword">decltype</span>(result), <a class="code hl_typedef" href="classoperations__research_1_1pdlp_1_1_sharder.html#a56901285040a10466e482f274a9d0f79">ConstSparseColumnBlock</a>><a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">::value</a>,</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="stringliteral">"The return type of middleCols changed!"</span>);</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// Returns this shard of the columns of the given matrix in mutable form.</span></div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#abe2d9557dd95f5c5e25f3017f12e9def"> 114</a></span> <a class="code hl_typedef" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9f718234975f4f992c3c348a194098b3">SparseColumnBlock</a> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#abe2d9557dd95f5c5e25f3017f12e9def">operator()</a>(</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix.cols(), parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>());</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">auto</span> result = matrix.middleCols(parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard_num_),</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> parent_.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(shard_num_));</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// This is a guard against implicit conversions, because the return type</span></div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// of middleCols is not 100% clear from the documentation.</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">static_assert</span>(std::is_same<<span class="keyword">decltype</span>(result), <a class="code hl_typedef" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9f718234975f4f992c3c348a194098b3">SparseColumnBlock</a>><a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">::value</a>,</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="stringliteral">"The return type of middleCols changed!"</span>);</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// A non-negative identifier for this shard, less than the parent Sharder's</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// NumShards().</span></div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179"> 127</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">Index</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> shard_num_; }</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#ac82600e0af5fccd5391086e5f2d1bdd0"> 130</a></span> <span class="keyword">friend</span> <span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a>(<span class="keywordtype">int</span> shard_num, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>* parent)</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> : shard_num_(shard_num), parent_(*parent) {</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(parent, <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(shard_num, 0);</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(shard_num, parent-><a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>());</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> }</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">const</span> <span class="keywordtype">int</span> shard_num_;</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& parent_;</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> };</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> </div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// Creates a Sharder for problems with `num_elements` elements and mass of</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// each element given by `element_mass`. Each shard will have roughly the same</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// mass. The number of shards in the resulting Sharder will be approximately</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="comment">// `num_shards` but may differ. The `thread_pool` will be used for parallel</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// operations executed by e.g. ParallelForEachShard(). The `thread_pool` may</span></div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// be nullptr, which means work will be executed in the same thread. If</span></div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// `thread_pool` is not nullptr, the underlying object is not owned and must</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// outlive the Sharder.</span></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder</a>(int64_t num_elements, <span class="keywordtype">int</span> num_shards, <a class="code hl_class" href="classoperations__research_1_1_thread_pool.html">ThreadPool</a>* thread_pool,</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keyword">const</span> std::function<int64_t(int64_t)>& element_mass);</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> </div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="comment">// Creates a Sharder for problems with `num_elements` elements and unit mass.</span></div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="comment">// This constructor exploits having all element mass equal to 1 to take time</span></div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// proportional to num_shards instead of num_elements. Also see the comments</span></div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="comment">// above the first constructor.</span></div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder</a>(int64_t num_elements, <span class="keywordtype">int</span> num_shards, <a class="code hl_class" href="classoperations__research_1_1_thread_pool.html">ThreadPool</a>* thread_pool);</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// Creates a Sharder for processing the given matrix. The elements correspond</span></div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="comment">// to columns of the matrix and have mass linear in the number of non-zeros.</span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="comment">// Also see the comments above the first constructor.</span></div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#adcd9df72167575b7210b0936544769df"> 161</a></span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#adcd9df72167575b7210b0936544769df">Sharder</a>(<span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordtype">int</span> num_shards, <a class="code hl_class" href="classoperations__research_1_1_thread_pool.html">ThreadPool</a>* thread_pool)</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> : <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>(matrix.cols(), num_shards, thread_pool, [&matrix](int64_t <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) {</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">return</span> 1 + 1 * matrix.col(<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>).nonZeros();</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> }) {}</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// Constructs a Sharder with the same thread pool as `other_sharder`, for</span></div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// problems with `num_elements` elements and unit mass. The number of shards</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// will be approximately the same as that of `other_sharder`. Also see the</span></div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// comments on the first constructor.</span></div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder</a>(<span class="keyword">const</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder</a>& other_sharder, int64_t num_elements);</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> </div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// Sharders may be copied or moved.</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// Moved-from objects may be in an invalid state. The only methods that may be</span></div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// called on a moved-from object are the destructor or operator=.</span></div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a066272dc23ed7572686227470f3de66f"> 176</a></span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a066272dc23ed7572686227470f3de66f">Sharder</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& other) = <span class="keywordflow">default</span>;</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a88123f4e2d1fdeb1e2e46d1509a2df92"> 177</a></span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a88123f4e2d1fdeb1e2e46d1509a2df92">Sharder</a>(<a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>&& other) = <span class="keywordflow">default</span>;</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#adfe1f711514ba23690232c38b14ada13"> 178</a></span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#adfe1f711514ba23690232c38b14ada13">operator=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& other) = <span class="keywordflow">default</span>;</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#ae66a5e4b78fc770a9171f0a51871741b"> 179</a></span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ae66a5e4b78fc770a9171f0a51871741b">operator=</a>(<a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>&& other) = <span class="keywordflow">default</span>;</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f"> 181</a></span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(shard_starts_.size()) - 1; }</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="comment">// The number of elements that are split into shards.</span></div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a"> 184</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">NumElements</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> shard_starts_.back(); }</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> </div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203"> 186</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">ShardSize</a>(<span class="keywordtype">int</span> shard)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(shard, 0);</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(shard, <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>());</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keywordflow">return</span> shard_starts_[shard + 1] - shard_starts_[shard];</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> }</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748"> 192</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(<span class="keywordtype">int</span> shard)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(shard, 0);</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(shard, <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>());</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordflow">return</span> shard_starts_[shard];</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> }</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#aedfcf43db71678e2e729a1b803a208a9"> 198</a></span> int64_t <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aedfcf43db71678e2e729a1b803a208a9">ShardMass</a>(<span class="keywordtype">int</span> shard)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(shard, 0);</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_define" href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a>(shard, <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>());</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keywordflow">return</span> shard_masses_[shard];</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> }</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// Runs a functor on each of the shards.</span></div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>(</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keyword">const</span> std::function<<span class="keywordtype">void</span>(<span class="keyword">const</span> Shard&)>& func) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// Runs a functor on each of the shards and sums the results.</span></div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a2e06481a59fc1f866bd6c898a696b014">ParallelSumOverShards</a>(</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keyword">const</span> std::function<<span class="keywordtype">double</span>(<span class="keyword">const</span> Shard&)>& func) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// Runs a functor on each of the shards. Returns true iff all shards returned</span></div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// true.</span></div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9761cf0a21e5b7efe9126765eec48a3a">ParallelTrueForAllShards</a>(</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">const</span> std::function<<span class="keywordtype">bool</span>(<span class="keyword">const</span> Shard&)>& func) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// Public for testing only.</span></div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a766ab5d0f026b2f2d38aee5ffcb240e8"> 218</a></span> <span class="keyword">const</span> std::vector<int64_t>& <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a766ab5d0f026b2f2d38aee5ffcb240e8">ShardStartsForTesting</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">return</span> shard_starts_;</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="comment">// Size: NumShards() + 1. The first entry is 0 and the last entry is</span></div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="comment">// NumElements(). The entries are sorted in increasing order and are unique.</span></div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="comment">// Note that {0} is valid and indicates zero elements split into zero shards.</span></div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> std::vector<int64_t> shard_starts_;</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="comment">// Size: NumShards(). The mass of each shard.</span></div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> std::vector<int64_t> shard_masses_;</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="comment">// NOT owned. May be nullptr.</span></div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <a class="code hl_class" href="classoperations__research_1_1_thread_pool.html">ThreadPool</a>* thread_pool_;</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span>};</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> </div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span><span class="comment">// Like matrix.transpose() * vector but executed in parallel using the given</span></div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span><span class="comment">// Sharder. The Sharder's size must match the matrix's number of columns. To</span></div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="comment">// ensure good parallelization the matrix passed here should have (roughly) the</span></div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span><span class="comment">// same location of non-zeros as the matrix passed to the Sharder's</span></div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span><span class="comment">// constructor.</span></div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a22f98f62c4c9beec5e4586cca53f3098"> 238</a></span>Eigen::VectorXd <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a463586ded0a114d3ca4b97a048d37d8a">TransposedMatrixVectorProduct</a>(</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keyword">const</span> Eigen::VectorXd& vector, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>);</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span><span class="comment">// The following functions use a Sharder to compute a vector operation in</span></div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span><span class="comment">// parallel. The Sharder should have the same size as the vector(s). For best</span></div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span><span class="comment">// performance the Sharder should have been created with the Sharder(int64_t,</span></div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span><span class="comment">// int, ThreadPool*) constructor.</span></div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span><span class="comment"></span> </div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span><span class="comment">// Like dest += scale * increment</span></div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a62b08cd6ba4e025f1df1ec41261e14db"> 250</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a904cea6c14ac90eea354da5d70ec1719">AddScaledVector</a>(<span class="keywordtype">double</span> scale, <span class="keyword">const</span> Eigen::VectorXd& increment,</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder, Eigen::VectorXd& dest);</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="comment">// Like dest = vec. dest is resized if needed.</span></div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#afa393d2c90adfa983d1625e6e409d4f7"> 254</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#afca8f74da7e8301c8aee45f33c93896c">AssignVector</a>(<span class="keyword">const</span> Eigen::VectorXd& vec, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder,</div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> Eigen::VectorXd& dest);</div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> </div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span><span class="comment">// Returns a copy of vec.</span></div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a3ed237f4d1a54c4da63c16cc38baf030"> 258</a></span>Eigen::VectorXd <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#aaa4a3bad4a7c95a6d68387ba8ae8c104">CloneVector</a>(<span class="keyword">const</span> Eigen::VectorXd& vec, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span><span class="comment">// Like dest = dest.cwiseProduct(scale).</span></div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#af2e7e8dab386b40f5984525566c9709f"> 261</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a920005e41b36a7a0c7f4ad148ad7069d">CoefficientWiseProductInPlace</a>(<span class="keyword">const</span> Eigen::VectorXd& scale,</div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder,</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> Eigen::VectorXd& dest);</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span><span class="comment">// Like dest = dest.cwiseQuotient(scale).</span></div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#ae3ba879295782a2f85c4903e0de21cbe"> 266</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a92c8ca6bf2bb288c322e1d8fbd6ea2bc">CoefficientWiseQuotientInPlace</a>(<span class="keyword">const</span> Eigen::VectorXd& scale,</div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder,</div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> Eigen::VectorXd& dest);</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span><span class="comment">// Like v1.dot(v2)</span></div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#adfa51fc5a2896d98a940cc367c5bbfe5"> 271</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a11831586b99d28a708bc103bce1a945e">Dot</a>(<span class="keyword">const</span> Eigen::VectorXd& v1, <span class="keyword">const</span> Eigen::VectorXd& v2,</div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span><span class="comment">// Like vector.lpNorm<Eigen::Infinity>(), a.k.a. LInf norm.</span></div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#ab2cbc527d8c2c204dbd36be85cc4569d"> 274</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a33a42241df5501b0165ee77c3de54d7f">LInfNorm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span><span class="comment">// Like vector.lpNorm<1>(), a.k.a. L_1 norm.</span></div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a45e75bc358dc64d1dc080cb311acd449"> 276</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#aa577696ad9121b3f002cd37de6f86989">L1Norm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span><span class="comment">// Like vector.squaredNorm()</span></div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#ab11d2b633fbd4e06d2d51d95767105db"> 278</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a051e8994e91729e038b6cab678ef5f89">SquaredNorm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span><span class="comment">// Like vector.norm()</span></div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a4f3cc73755c80cd79c2fb1c697e1310a"> 280</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#ade56a0bd875b06000c45e1730398e5a8">Norm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> </div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span><span class="comment">// Like (vector1 - vector2).squaredNorm()</span></div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#acfdde18597f56c6108928669aa7e1fff"> 283</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a32389515e696df20cec86493cf9852e6">SquaredDistance</a>(<span class="keyword">const</span> Eigen::VectorXd& vector1,</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keyword">const</span> Eigen::VectorXd& vector2, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span><span class="comment">// Like (vector1 - vector2).norm()</span></div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a09826daec0fbcdf6594b1ada846dbb3a"> 286</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a3e28f45b9c1ccdec8d926b4034d3679b">Distance</a>(<span class="keyword">const</span> Eigen::VectorXd& vector1, <span class="keyword">const</span> Eigen::VectorXd& vector2,</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> </div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span><span class="comment">// ScaledL1Norm is omitted because it's not needed (yet).</span></div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> </div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span><span class="comment">// LInf norm of a rescaled vector, i.e.,</span></div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span><span class="comment">// vector.cwiseProduct(scale).lpNorm<Eigen::Infinity>().</span></div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a42e24a12cfaed2024d52b70297b5a96b"> 293</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a55b8c43a5adfafddb030074c75aeef70">ScaledLInfNorm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector,</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">const</span> Eigen::VectorXd& scale, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span><span class="comment">// Squared L2 norm of a rescaled vector, i.e.,</span></div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span><span class="comment">// vector.cwiseProduct(scale).squaredNorm().</span></div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#acff65f956f203f1538f4bbf0cd44fa2b"> 297</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a65f71a53d7766ac4c753d2218887cf98">ScaledSquaredNorm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector,</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keyword">const</span> Eigen::VectorXd& scale, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span><span class="comment">// L2 norm of a rescaled vector, i.e., vector.cwiseProduct(scale).norm().</span></div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a250eacb9ce6df8be7e5837a2279e7cca"> 300</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a0b812156619599417e29521a41b7a734">ScaledNorm</a>(<span class="keyword">const</span> Eigen::VectorXd& vector, <span class="keyword">const</span> Eigen::VectorXd& scale,</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> </div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span><span class="comment">// The functions below compute norms of the columns of a scaled matrix. The</span></div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span><span class="comment">// (i,j) entry of the scaled matrix equals matrix[i,j] * row_scaling_vec[i] *</span></div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span><span class="comment">// col_scaling_vec[j]. To ensure good parallelization the matrix passed here</span></div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span><span class="comment">// should have (roughly) the same location of non-zeros as the matrix passed to</span></div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span><span class="comment">// the Sharder's constructor. The Sharder's size must match the matrix's number</span></div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span><span class="comment">// of columns.</span></div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span><span class="comment"></span> </div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span><span class="comment">// Computes the LInf norm of each column of a scaled matrix.</span></div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#ac825edcd2a72e7284c0b1c1ffce6dea0"> 313</a></span>Eigen::VectorXd <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a69a3cf251337531692721a574033a9df">ScaledColLInfNorm</a>(</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keyword">const</span> Eigen::VectorXd& row_scaling_vec,</div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keyword">const</span> Eigen::VectorXd& col_scaling_vec, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span><span class="comment">// Computes the L2 norm of each column of a scaled matrix.</span></div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#ac371aa1f67b4d895ed970bf479e6ec5f"> 318</a></span>Eigen::VectorXd <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#aa3c5dd95681fe94691be1407d6bb62aa">ScaledColL2Norm</a>(</div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keyword">const</span> Eigen::VectorXd& row_scaling_vec,</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">const</span> Eigen::VectorXd& col_scaling_vec, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> </div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span><span class="comment">// Checks if a matrix is diagonal.</span></div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#aba946188cad9bee97f5f8206e15496e5">IsDiagonal</a>(</div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder);</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> </div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span>} <span class="comment">// namespace operations_research::pdlp</span></div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> </div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span><span class="preprocessor">#endif </span><span class="comment">// PDLP_SHARDER_H_</span></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="abase_2logging_8h_html_a4bd2e815ca2f702a4b6aa744b1ff3b82"><div class="ttname"><a href="base_2logging_8h.html#a4bd2e815ca2f702a4b6aa744b1ff3b82">CHECK_LT</a></div><div class="ttdeci">#define CHECK_LT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00706">base/logging.h:706</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a7cc25402ecd7591b4c39934dd656b1f9"><div class="ttname"><a href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a></div><div class="ttdeci">#define CHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00707">base/logging.h:707</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb"><div class="ttname"><a href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a></div><div class="ttdeci">#define CHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00704">base/logging.h:704</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_thread_pool_html"><div class="ttname"><a href="classoperations__research_1_1_thread_pool.html">operations_research::ThreadPool</a></div><div class="ttdef"><b>Definition:</b> <a href="threadpool_8h_source.html#l00026">threadpool.h:26</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">operations_research::pdlp::Sharder::Shard</a></div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00055">sharder.h:55</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_a0eeb46542f0bfd264cdee63f14c49fbc"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a0eeb46542f0bfd264cdee63f14c49fbc">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">auto operator()(const Eigen::DiagonalMatrix< double, Eigen::Dynamic > &diag) const -> decltype(diag.diagonal().segment(0, 0).asDiagonal())</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00091">sharder.h:91</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_a2903bcb8accb998c524e802963c338a0"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a2903bcb8accb998c524e802963c338a0">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">Eigen::VectorBlock< Eigen::VectorXd > operator()(Eigen::VectorXd &vector) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00065">sharder.h:65</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_a33bc5245f06733030050a880583bdf80"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a33bc5245f06733030050a880583bdf80">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">Eigen::VectorBlock< Eigen::VectorXd > operator()(Eigen::VectorBlock< Eigen::VectorXd > vector) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00081">sharder.h:81</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_a8653e07fd6f44735992b87ce98facd42"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8653e07fd6f44735992b87ce98facd42">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">ConstSparseColumnBlock operator()(const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00100">sharder.h:100</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_a8ef12397d1682615bc3108c397734179"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">operations_research::pdlp::Sharder::Shard::Index</a></div><div class="ttdeci">int Index() const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00127">sharder.h:127</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_a9efc737466aa901e6a11eea87a1fcdcf"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a9efc737466aa901e6a11eea87a1fcdcf">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">Eigen::VectorBlock< const Eigen::VectorXd > operator()(Eigen::VectorBlock< const Eigen::VectorXd > vector) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00072">sharder.h:72</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_ab1069a7b0af82e83d6eade92abd527a8"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#ab1069a7b0af82e83d6eade92abd527a8">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">Eigen::VectorBlock< const Eigen::VectorXd > operator()(const Eigen::VectorXd &vector) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00058">sharder.h:58</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_1_1_shard_html_abe2d9557dd95f5c5e25f3017f12e9def"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#abe2d9557dd95f5c5e25f3017f12e9def">operations_research::pdlp::Sharder::Shard::operator()</a></div><div class="ttdeci">SparseColumnBlock operator()(Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00114">sharder.h:114</a></div></div>
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<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>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a066272dc23ed7572686227470f3de66f"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a066272dc23ed7572686227470f3de66f">operations_research::pdlp::Sharder::Sharder</a></div><div class="ttdeci">Sharder(const Sharder &other)=default</div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a0a8eb985f743d830add14fc4a95ea072"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">operations_research::pdlp::Sharder::Sharder</a></div><div class="ttdeci">Sharder(int64_t num_elements, int num_shards, ThreadPool *thread_pool, const std::function< int64_t(int64_t)> &element_mass)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00035">sharder.cc:35</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a2e06481a59fc1f866bd6c898a696b014"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a2e06481a59fc1f866bd6c898a696b014">operations_research::pdlp::Sharder::ParallelSumOverShards</a></div><div class="ttdeci">double ParallelSumOverShards(const std::function< double(const Shard &)> &func) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00131">sharder.cc:131</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a56901285040a10466e482f274a9d0f79"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a56901285040a10466e482f274a9d0f79">operations_research::pdlp::Sharder::ConstSparseColumnBlock</a></div><div class="ttdeci">::Eigen::Block< const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t >, Eigen::Dynamic, Eigen::Dynamic, true > ConstSparseColumnBlock</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00038">sharder.h:41</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a5bbfc4ed3da7a0815ba5f6c7ddee320b"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">operations_research::pdlp::Sharder::ParallelForEachShard</a></div><div class="ttdeci">void ParallelForEachShard(const std::function< void(const Shard &)> &func) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00097">sharder.cc:97</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a766ab5d0f026b2f2d38aee5ffcb240e8"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a766ab5d0f026b2f2d38aee5ffcb240e8">operations_research::pdlp::Sharder::ShardStartsForTesting</a></div><div class="ttdeci">const std::vector< int64_t > & ShardStartsForTesting() const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00218">sharder.h:218</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a88123f4e2d1fdeb1e2e46d1509a2df92"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a88123f4e2d1fdeb1e2e46d1509a2df92">operations_research::pdlp::Sharder::Sharder</a></div><div class="ttdeci">Sharder(Sharder &&other)=default</div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a9761cf0a21e5b7efe9126765eec48a3a"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a9761cf0a21e5b7efe9126765eec48a3a">operations_research::pdlp::Sharder::ParallelTrueForAllShards</a></div><div class="ttdeci">bool ParallelTrueForAllShards(const std::function< bool(const Shard &)> &func) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00140">sharder.cc:140</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a998aef9096f234a37e58caddca6db203"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a998aef9096f234a37e58caddca6db203">operations_research::pdlp::Sharder::ShardSize</a></div><div class="ttdeci">int64_t ShardSize(int shard) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00186">sharder.h:186</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_a9f718234975f4f992c3c348a194098b3"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#a9f718234975f4f992c3c348a194098b3">operations_research::pdlp::Sharder::SparseColumnBlock</a></div><div class="ttdeci">::Eigen::Block< Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t >, Eigen::Dynamic, Eigen::Dynamic, true > SparseColumnBlock</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00042">sharder.h:45</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_aa6c18d04d5fcbe7a9343768b8b66be7f"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">operations_research::pdlp::Sharder::NumShards</a></div><div class="ttdeci">int NumShards() const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00181">sharder.h:181</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_abfb02437c97584ca43c040284aecf748"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">operations_research::pdlp::Sharder::ShardStart</a></div><div class="ttdeci">int64_t ShardStart(int shard) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00192">sharder.h:192</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_ada07b6c423e2d359a22b11df7c9fef0a"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#ada07b6c423e2d359a22b11df7c9fef0a">operations_research::pdlp::Sharder::NumElements</a></div><div class="ttdeci">int64_t NumElements() const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00184">sharder.h:184</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_adcd9df72167575b7210b0936544769df"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#adcd9df72167575b7210b0936544769df">operations_research::pdlp::Sharder::Sharder</a></div><div class="ttdeci">Sharder(const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix, int num_shards, ThreadPool *thread_pool)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00161">sharder.h:161</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_adfe1f711514ba23690232c38b14ada13"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#adfe1f711514ba23690232c38b14ada13">operations_research::pdlp::Sharder::operator=</a></div><div class="ttdeci">Sharder & operator=(const Sharder &other)=default</div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_ae66a5e4b78fc770a9171f0a51871741b"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#ae66a5e4b78fc770a9171f0a51871741b">operations_research::pdlp::Sharder::operator=</a></div><div class="ttdeci">Sharder & operator=(Sharder &&other)=default</div></div>
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<div class="ttc" id="aclassoperations__research_1_1pdlp_1_1_sharder_html_aedfcf43db71678e2e729a1b803a208a9"><div class="ttname"><a href="classoperations__research_1_1pdlp_1_1_sharder.html#aedfcf43db71678e2e729a1b803a208a9">operations_research::pdlp::Sharder::ShardMass</a></div><div class="ttdeci">int64_t ShardMass(int shard) const</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8h_source.html#l00198">sharder.h:198</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
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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#l00183">markowitz.cc:183</a></div></div>
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<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>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a051e8994e91729e038b6cab678ef5f89"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a051e8994e91729e038b6cab678ef5f89">operations_research::pdlp::SquaredNorm</a></div><div class="ttdeci">double SquaredNorm(const VectorXd &vector, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00215">sharder.cc:215</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a0b812156619599417e29521a41b7a734"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a0b812156619599417e29521a41b7a734">operations_research::pdlp::ScaledNorm</a></div><div class="ttdeci">double ScaledNorm(const VectorXd &vector, const VectorXd &scale, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00253">sharder.cc:253</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a11831586b99d28a708bc103bce1a945e"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a11831586b99d28a708bc103bce1a945e">operations_research::pdlp::Dot</a></div><div class="ttdeci">double Dot(const VectorXd &v1, const VectorXd &v2, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00197">sharder.cc:197</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a32389515e696df20cec86493cf9852e6"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a32389515e696df20cec86493cf9852e6">operations_research::pdlp::SquaredDistance</a></div><div class="ttdeci">double SquaredDistance(const VectorXd &vector1, const VectorXd &vector2, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00224">sharder.cc:224</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a33a42241df5501b0165ee77c3de54d7f"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a33a42241df5501b0165ee77c3de54d7f">operations_research::pdlp::LInfNorm</a></div><div class="ttdeci">double LInfNorm(const VectorXd &vector, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00202">sharder.cc:202</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a3e28f45b9c1ccdec8d926b4034d3679b"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a3e28f45b9c1ccdec8d926b4034d3679b">operations_research::pdlp::Distance</a></div><div class="ttdeci">double Distance(const VectorXd &vector1, const VectorXd &vector2, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00231">sharder.cc:231</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a463586ded0a114d3ca4b97a048d37d8a"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a463586ded0a114d3ca4b97a048d37d8a">operations_research::pdlp::TransposedMatrixVectorProduct</a></div><div class="ttdeci">VectorXd TransposedMatrixVectorProduct(const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix, const VectorXd &vector, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00151">sharder.cc:151</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a55b8c43a5adfafddb030074c75aeef70"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a55b8c43a5adfafddb030074c75aeef70">operations_research::pdlp::ScaledLInfNorm</a></div><div class="ttdeci">double ScaledLInfNorm(const VectorXd &vector, const VectorXd &scale, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00236">sharder.cc:236</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a65f71a53d7766ac4c753d2218887cf98"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a65f71a53d7766ac4c753d2218887cf98">operations_research::pdlp::ScaledSquaredNorm</a></div><div class="ttdeci">double ScaledSquaredNorm(const VectorXd &vector, const VectorXd &scale, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00246">sharder.cc:246</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a69a3cf251337531692721a574033a9df"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a69a3cf251337531692721a574033a9df">operations_research::pdlp::ScaledColLInfNorm</a></div><div class="ttdeci">VectorXd ScaledColLInfNorm(const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix, const VectorXd &row_scaling_vec, const VectorXd &col_scaling_vec, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00258">sharder.cc:258</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a904cea6c14ac90eea354da5d70ec1719"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a904cea6c14ac90eea354da5d70ec1719">operations_research::pdlp::AddScaledVector</a></div><div class="ttdeci">void AddScaledVector(const double scale, const VectorXd &increment, const Sharder &sharder, VectorXd &dest)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00162">sharder.cc:162</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a920005e41b36a7a0c7f4ad148ad7069d"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a920005e41b36a7a0c7f4ad148ad7069d">operations_research::pdlp::CoefficientWiseProductInPlace</a></div><div class="ttdeci">void CoefficientWiseProductInPlace(const VectorXd &scale, const Sharder &sharder, VectorXd &dest)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00182">sharder.cc:182</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_a92c8ca6bf2bb288c322e1d8fbd6ea2bc"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#a92c8ca6bf2bb288c322e1d8fbd6ea2bc">operations_research::pdlp::CoefficientWiseQuotientInPlace</a></div><div class="ttdeci">void CoefficientWiseQuotientInPlace(const VectorXd &scale, const Sharder &sharder, VectorXd &dest)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00190">sharder.cc:190</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_aa3c5dd95681fe94691be1407d6bb62aa"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#aa3c5dd95681fe94691be1407d6bb62aa">operations_research::pdlp::ScaledColL2Norm</a></div><div class="ttdeci">VectorXd ScaledColL2Norm(const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix, const VectorXd &row_scaling_vec, const VectorXd &col_scaling_vec, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00280">sharder.cc:280</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_aa577696ad9121b3f002cd37de6f86989"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#aa577696ad9121b3f002cd37de6f86989">operations_research::pdlp::L1Norm</a></div><div class="ttdeci">double L1Norm(const VectorXd &vector, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00210">sharder.cc:210</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_aaa4a3bad4a7c95a6d68387ba8ae8c104"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#aaa4a3bad4a7c95a6d68387ba8ae8c104">operations_research::pdlp::CloneVector</a></div><div class="ttdeci">VectorXd CloneVector(const VectorXd &vec, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00175">sharder.cc:175</a></div></div>
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