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475 lines
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<a href="sharder_8cc.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">#include "<a class="code" href="sharder_8h.html">ortools/pdlp/sharder.h</a>"</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <functional></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 "absl/synchronization/blocking_counter.h"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "absl/time/time.h"</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</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="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include "<a class="code" href="mathutil_8h.html">ortools/base/mathutil.h</a>"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</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="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include "<a class="code" href="timer_8h.html">ortools/base/timer.h</a>"</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</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="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>using ::Eigen::VectorXd;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072"> 35</a></span><a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder::Sharder</a>(<span class="keyword">const</span> int64_t num_elements, <span class="keyword">const</span> <span class="keywordtype">int</span> num_shards,</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <a class="code hl_class" href="classoperations__research_1_1_thread_pool.html">ThreadPool</a>* <span class="keyword">const</span> thread_pool,</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">const</span> std::function<int64_t(int64_t)>& element_mass)</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> : thread_pool_(thread_pool) {</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(num_elements, 0);</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">if</span> (num_elements == 0) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> shard_starts_.push_back(0);</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> }</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(num_shards, 1);</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> int64_t overall_mass = 0;</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">for</span> (int64_t elem = 0; elem < num_elements; ++elem) {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> overall_mass += element_mass(elem);</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> shard_starts_.push_back(0);</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> int64_t this_shard_mass = element_mass(0);</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">for</span> (int64_t elem = 1; elem < num_elements; ++elem) {</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> int64_t this_elem_mass = element_mass(elem);</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">if</span> (this_shard_mass + (this_elem_mass / 2) >= overall_mass / num_shards) {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// this elem starts a new shard</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> shard_masses_.push_back(this_shard_mass);</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> shard_starts_.push_back(elem);</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> this_shard_mass = this_elem_mass;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> this_shard_mass += this_elem_mass;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> shard_starts_.push_back(num_elements);</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> shard_masses_.push_back(this_shard_mass);</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>(), shard_masses_.size());</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a3bad357160a3f798b836b510d5c2cb9d"> 67</a></span><a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder::Sharder</a>(<span class="keyword">const</span> int64_t num_elements, <span class="keyword">const</span> <span class="keywordtype">int</span> num_shards,</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_class" href="classoperations__research_1_1_thread_pool.html">ThreadPool</a>* <span class="keyword">const</span> thread_pool)</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> : thread_pool_(thread_pool) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(num_elements, 0);</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordflow">if</span> (num_elements == 0) {</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> shard_starts_.push_back(0);</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_define" href="base_2logging_8h.html#a7cc25402ecd7591b4c39934dd656b1f9">CHECK_GE</a>(num_shards, 1);</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> shard_starts_.reserve(num_shards + 1);</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> shard_masses_.reserve(num_shards);</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> shard = 0; shard < num_shards; ++shard) {</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">const</span> int64_t this_shard_start = ((num_elements * shard) / num_shards);</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">const</span> int64_t next_shard_start =</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> ((num_elements * (shard + 1)) / num_shards);</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">if</span> (next_shard_start - this_shard_start > 0) {</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> shard_starts_.push_back(this_shard_start);</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> shard_masses_.push_back(next_shard_start - this_shard_start);</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> }</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> shard_starts_.push_back(num_elements);</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>(), shard_masses_.size());</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>}</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</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.html#a73e4fc7060f91fbd599f46e47e469067"> 91</a></span><a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a0a8eb985f743d830add14fc4a95ea072">Sharder::Sharder</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& other_sharder, <span class="keyword">const</span> int64_t num_elements)</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// The std::max() protects against other_sharder.NumShards() == 0, which</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// will happen if other_sharder had num_elements == 0.</span></div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> : <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>(num_elements, <a class="code hl_namespace" href="namespacestd.html">std</a>::<a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a>(1, other_sharder.NumShards()),</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> other_sharder.thread_pool_) {}</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b"> 97</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">Sharder::ParallelForEachShard</a>(</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">const</span> std::function<<span class="keywordtype">void</span>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a>&)>& func)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">if</span> (thread_pool_) {</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> absl::BlockingCounter counter(<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="l00101" name="l00101"></a><span class="lineno"> 101</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) << <span class="stringliteral">"Starting ParallelForEachShard()"</span>;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> shard_num = 0; shard_num < <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>(); ++shard_num) {</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> thread_pool_-><a class="code hl_function" href="classoperations__research_1_1_thread_pool.html#aac78d8770b03a18532d00104cd2bce0e">Schedule</a>([&, shard_num]() {</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <a class="code hl_class" href="class_wall_timer.html">WallTimer</a> timer;</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">if</span> (<a class="code hl_define" href="vlog__is__on_8h.html#a956152cad330225654d128f35c00efce">VLOG_IS_ON</a>(2)) {</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> timer.<a class="code hl_function" href="class_wall_timer.html#a07aaf1227e4d645f15e0a964f54ef291">Start</a>();</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> func(<a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a>(shard_num, <span class="keyword">this</span>));</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">if</span> (<a class="code hl_define" href="vlog__is__on_8h.html#a956152cad330225654d128f35c00efce">VLOG_IS_ON</a>(2)) {</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> timer.<a class="code hl_function" href="class_wall_timer.html#a17a237457e57625296e6b24feb19c60a">Stop</a>();</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) << <span class="stringliteral">"Shard "</span> << shard_num << <span class="stringliteral">" with "</span> << <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="l00112" name="l00112"></a><span class="lineno"> 112</span> << <span class="stringliteral">" elements and "</span> << <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aedfcf43db71678e2e729a1b803a208a9">ShardMass</a>(shard_num)</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> << <span class="stringliteral">" mass finished with "</span></div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> << <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aedfcf43db71678e2e729a1b803a208a9">ShardMass</a>(shard_num) /</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(int64_t{1}, absl::ToInt64Microseconds(</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> timer.<a class="code hl_function" href="class_wall_timer.html#a4529f7d5e72dcd2c9d8961ee60f0ed6a">GetDuration</a>()))</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> << <span class="stringliteral">" mass/usec."</span>;</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> counter.DecrementCount();</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> });</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> }</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> counter.Wait();</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(2) << <span class="stringliteral">"Done ParallelForEachShard()"</span>;</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> shard_num = 0; shard_num < <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#aa6c18d04d5fcbe7a9343768b8b66be7f">NumShards</a>(); ++shard_num) {</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> func(<a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a>(shard_num, <span class="keyword">this</span>));</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</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>}</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> </div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a2e06481a59fc1f866bd6c898a696b014"> 131</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a2e06481a59fc1f866bd6c898a696b014">Sharder::ParallelSumOverShards</a>(</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">const</span> std::function<<span class="keywordtype">double</span>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a>&)>& func)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> VectorXd local_sums(<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="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> local_sums[shard.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">Index</a>()] = func(shard);</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="keywordflow">return</span> local_sums.sum();</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span>}</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"><a class="line" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9761cf0a21e5b7efe9126765eec48a3a"> 140</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9761cf0a21e5b7efe9126765eec48a3a">Sharder::ParallelTrueForAllShards</a>(</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">const</span> std::function<<span class="keywordtype">bool</span>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Shard</a>&)>& func)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// Recall std::vector<bool> is not thread-safe.</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> std::vector<int> local_result(<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="l00144" name="l00144"></a><span class="lineno"> 144</span> <a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> local_result[shard.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">Index</a>()] = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(func(shard));</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> });</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">return</span> std::all_of(local_result.begin(), local_result.end(),</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> [](<span class="keyword">const</span> <span class="keywordtype">int</span> v) { return static_cast<bool>(v); });</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span>}</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a463586ded0a114d3ca4b97a048d37d8a"> 151</a></span>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="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keyword">const</span> 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="l00154" name="l00154"></a><span class="lineno"> 154</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(vector.size(), matrix.rows());</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> VectorXd answer(matrix.cols());</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> shard(answer) = shard(matrix).transpose() * vector;</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> });</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">return</span> answer;</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span>}</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a904cea6c14ac90eea354da5d70ec1719"> 162</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a904cea6c14ac90eea354da5d70ec1719">AddScaledVector</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> scale, <span class="keyword">const</span> VectorXd& increment,</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder, VectorXd& dest) {</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> shard(dest) += scale * shard(increment);</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>}</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#afca8f74da7e8301c8aee45f33c93896c"> 169</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> VectorXd& vec, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder, VectorXd& dest) {</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> dest.resize(vec.size());</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> sharder.<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="l00172" name="l00172"></a><span class="lineno"> 172</span> [&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) { shard(dest) = shard(vec); });</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span>}</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#aaa4a3bad4a7c95a6d68387ba8ae8c104"> 175</a></span>VectorXd <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#aaa4a3bad4a7c95a6d68387ba8ae8c104">CloneVector</a>(<span class="keyword">const</span> 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="l00176" name="l00176"></a><span class="lineno"> 176</span> VectorXd dest;</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#afca8f74da7e8301c8aee45f33c93896c">AssignVector</a>(vec, sharder, dest);</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">return</span> dest;</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</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"> 181</span><span class="comment">// Like vector = vector.cwiseProduct(scale).</span></div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a920005e41b36a7a0c7f4ad148ad7069d"> 182</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> VectorXd& scale,</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder, VectorXd& dest) {</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> shard(dest) = shard(dest).cwiseProduct(shard(scale));</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> });</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span>}</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span><span class="comment">// Like vector = vector.cwiseQuotient(scale).</span></div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a92c8ca6bf2bb288c322e1d8fbd6ea2bc"> 190</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> VectorXd& scale,</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder.html">Sharder</a>& sharder, VectorXd& dest) {</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> shard(dest) = shard(dest).cwiseQuotient(shard(scale));</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> });</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span>}</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"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a11831586b99d28a708bc103bce1a945e"> 197</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> VectorXd& v1, <span class="keyword">const</span> VectorXd& v2, <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="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">return</span> sharder.<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="l00199" name="l00199"></a><span class="lineno"> 199</span> [&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) { <span class="keywordflow">return</span> shard(v1).dot(shard(v2)); });</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span>}</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a33a42241df5501b0165ee77c3de54d7f"> 202</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> 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="l00203" name="l00203"></a><span class="lineno"> 203</span> VectorXd local_max(sharder.<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="l00204" name="l00204"></a><span class="lineno"> 204</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> local_max[shard.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">Index</a>()] = shard(vector).lpNorm<Eigen::Infinity>();</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> });</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordflow">return</span> local_max.lpNorm<Eigen::Infinity>();</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span>}</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#aa577696ad9121b3f002cd37de6f86989"> 210</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> 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="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">return</span> sharder.<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="l00212" name="l00212"></a><span class="lineno"> 212</span> [&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) { <span class="keywordflow">return</span> shard(vector).lpNorm<1>(); });</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span>}</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> </div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a051e8994e91729e038b6cab678ef5f89"> 215</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> 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="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">return</span> sharder.<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="l00217" name="l00217"></a><span class="lineno"> 217</span> [&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) { <span class="keywordflow">return</span> shard(vector).squaredNorm(); });</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span>}</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> </div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#ade56a0bd875b06000c45e1730398e5a8"> 220</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> 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="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a051e8994e91729e038b6cab678ef5f89">SquaredNorm</a>(vector, sharder));</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span>}</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a32389515e696df20cec86493cf9852e6"> 224</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> VectorXd& vector1, <span class="keyword">const</span> VectorXd& vector2,</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</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="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">return</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a2e06481a59fc1f866bd6c898a696b014">ParallelSumOverShards</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keywordflow">return</span> (shard(vector1) - shard(vector2)).squaredNorm();</div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> });</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span>}</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> </div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a3e28f45b9c1ccdec8d926b4034d3679b"> 231</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> VectorXd& vector1, <span class="keyword">const</span> VectorXd& vector2,</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</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="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a32389515e696df20cec86493cf9852e6">SquaredDistance</a>(vector1, vector2, sharder));</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span>}</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a55b8c43a5adfafddb030074c75aeef70"> 236</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> VectorXd& vector, <span class="keyword">const</span> VectorXd& scale,</div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</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="l00238" name="l00238"></a><span class="lineno"> 238</span> VectorXd local_max(sharder.<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="l00239" name="l00239"></a><span class="lineno"> 239</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> local_max[shard.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">Index</a>()] =</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> shard(vector).cwiseProduct(shard(scale)).lpNorm<Eigen::Infinity>();</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> });</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">return</span> local_max.lpNorm<Eigen::Infinity>();</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span>}</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a65f71a53d7766ac4c753d2218887cf98"> 246</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> VectorXd& vector, <span class="keyword">const</span> VectorXd& scale,</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</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="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">return</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a2e06481a59fc1f866bd6c898a696b014">ParallelSumOverShards</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">return</span> shard(vector).cwiseProduct(shard(scale)).squaredNorm();</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> });</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span>}</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"><a class="line" href="namespaceoperations__research_1_1pdlp.html#a0b812156619599417e29521a41b7a734"> 253</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> VectorXd& vector, <span class="keyword">const</span> VectorXd& scale,</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</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="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="namespaceoperations__research_1_1pdlp.html#a65f71a53d7766ac4c753d2218887cf98">ScaledSquaredNorm</a>(vector, scale, sharder));</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> </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#a69a3cf251337531692721a574033a9df"> 258</a></span>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="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keyword">const</span> VectorXd& row_scaling_vec, <span class="keyword">const</span> VectorXd& col_scaling_vec,</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</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="l00262" name="l00262"></a><span class="lineno"> 262</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix.cols(), col_scaling_vec.size());</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix.rows(), row_scaling_vec.size());</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> VectorXd answer(matrix.cols());</div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keyword">auto</span> matrix_shard = shard(matrix);</div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="keyword">auto</span> col_scaling_shard = shard(col_scaling_vec);</div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordflow">for</span> (int64_t col_num = 0; col_num < shard(matrix).outerSize(); ++col_num) {</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> = 0.0;</div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">for</span> (<span class="keyword">decltype</span>(matrix_shard)::InnerIterator it(matrix_shard, col_num); it;</div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> ++it) {</div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(<a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a>, std::abs(it.value() * row_scaling_vec[it.row()]));</div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> }</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> shard(answer)[col_num] = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a> * std::abs(col_scaling_shard[col_num]);</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> }</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> });</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="keywordflow">return</span> answer;</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span>}</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</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#aa3c5dd95681fe94691be1407d6bb62aa"> 280</a></span>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="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keyword">const</span> VectorXd& row_scaling_vec, <span class="keyword">const</span> VectorXd& col_scaling_vec,</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</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="l00284" name="l00284"></a><span class="lineno"> 284</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix.cols(), col_scaling_vec.size());</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix.rows(), row_scaling_vec.size());</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> VectorXd answer(matrix.cols());</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a5bbfc4ed3da7a0815ba5f6c7ddee320b">ParallelForEachShard</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keyword">auto</span> matrix_shard = shard(matrix);</div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keyword">auto</span> col_scaling_shard = shard(col_scaling_vec);</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="keywordflow">for</span> (int64_t col_num = 0; col_num < shard(matrix).outerSize(); ++col_num) {</div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="keywordtype">double</span> sum_of_squares = 0.0;</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordflow">for</span> (<span class="keyword">decltype</span>(matrix_shard)::InnerIterator it(matrix_shard, col_num); it;</div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> ++it) {</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> sum_of_squares +=</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_function" href="classoperations__research_1_1_math_util.html#aac72849250cdf23aefdd991eb0fc0385">MathUtil::Square</a>(it.value() * row_scaling_vec[it.row()]);</div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> }</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> shard(answer)[col_num] =</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> std::sqrt(sum_of_squares) * std::abs(col_scaling_shard[col_num]);</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> }</div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> });</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keywordflow">return</span> answer;</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="l00303" name="l00303"></a><span class="lineno"> 303</span> </div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1pdlp.html#aba946188cad9bee97f5f8206e15496e5"> 304</a></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="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="keyword">const</span> Eigen::SparseMatrix<double, Eigen::ColMajor, int64_t>& matrix,</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</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="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="keywordflow">return</span> sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#a9761cf0a21e5b7efe9126765eec48a3a">ParallelTrueForAllShards</a>([&](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html">Sharder::Shard</a>& shard) {</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keyword">auto</span> matrix_shard = shard(matrix);</div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keyword">const</span> int64_t col_offset = sharder.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder.html#abfb02437c97584ca43c040284aecf748">ShardStart</a>(shard.<a class="code hl_function" href="classoperations__research_1_1pdlp_1_1_sharder_1_1_shard.html#a8ef12397d1682615bc3108c397734179">Index</a>());</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keywordflow">for</span> (int64_t col_idx = 0; col_idx < matrix_shard.outerSize(); ++col_idx) {</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keywordflow">for</span> (<span class="keyword">decltype</span>(matrix_shard)::InnerIterator it(matrix_shard, col_idx); it;</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> ++it) {</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="keywordflow">if</span> (it.row() != (col_offset + it.col())) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> }</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> }</div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> });</div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span>}</div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> </div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span>} <span class="comment">// namespace operations_research::pdlp</span></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="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_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00984">base/logging.h:984</a></div></div>
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<div class="ttc" id="aclass_wall_timer_html"><div class="ttname"><a href="class_wall_timer.html">WallTimer</a></div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00023">timer.h:23</a></div></div>
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<div class="ttc" id="aclass_wall_timer_html_a07aaf1227e4d645f15e0a964f54ef291"><div class="ttname"><a href="class_wall_timer.html#a07aaf1227e4d645f15e0a964f54ef291">WallTimer::Start</a></div><div class="ttdeci">void Start()</div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00031">timer.h:31</a></div></div>
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<div class="ttc" id="aclass_wall_timer_html_a17a237457e57625296e6b24feb19c60a"><div class="ttname"><a href="class_wall_timer.html#a17a237457e57625296e6b24feb19c60a">WallTimer::Stop</a></div><div class="ttdeci">void Stop()</div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00039">timer.h:39</a></div></div>
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<div class="ttc" id="aclass_wall_timer_html_a4529f7d5e72dcd2c9d8961ee60f0ed6a"><div class="ttname"><a href="class_wall_timer.html#a4529f7d5e72dcd2c9d8961ee60f0ed6a">WallTimer::GetDuration</a></div><div class="ttdeci">absl::Duration GetDuration() const</div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00048">timer.h:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_math_util_html_aac72849250cdf23aefdd991eb0fc0385"><div class="ttname"><a href="classoperations__research_1_1_math_util.html#aac72849250cdf23aefdd991eb0fc0385">operations_research::MathUtil::Square</a></div><div class="ttdeci">static T Square(const T x)</div><div class="ttdef"><b>Definition:</b> <a href="mathutil_8h_source.html#l00101">mathutil.h:101</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_1_thread_pool_html_aac78d8770b03a18532d00104cd2bce0e"><div class="ttname"><a href="classoperations__research_1_1_thread_pool.html#aac78d8770b03a18532d00104cd2bce0e">operations_research::ThreadPool::Schedule</a></div><div class="ttdeci">void Schedule(std::function< void()> closure)</div><div class="ttdef"><b>Definition:</b> <a href="threadpool_8cc_source.html#l00077">threadpool.cc:77</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_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_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_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_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_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_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_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="amathutil_8h_html"><div class="ttname"><a href="mathutil_8h.html">mathutil.h</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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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_aba946188cad9bee97f5f8206e15496e5"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#aba946188cad9bee97f5f8206e15496e5">operations_research::pdlp::IsDiagonal</a></div><div class="ttdeci">bool IsDiagonal(const Eigen::SparseMatrix< double, Eigen::ColMajor, int64_t > &matrix, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00304">sharder.cc:304</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_ade56a0bd875b06000c45e1730398e5a8"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#ade56a0bd875b06000c45e1730398e5a8">operations_research::pdlp::Norm</a></div><div class="ttdeci">double Norm(const VectorXd &vector, const Sharder &sharder)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00220">sharder.cc:220</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1pdlp_html_afca8f74da7e8301c8aee45f33c93896c"><div class="ttname"><a href="namespaceoperations__research_1_1pdlp.html#afca8f74da7e8301c8aee45f33c93896c">operations_research::pdlp::AssignVector</a></div><div class="ttdeci">void AssignVector(const VectorXd &vec, const Sharder &sharder, VectorXd &dest)</div><div class="ttdef"><b>Definition:</b> <a href="sharder_8cc_source.html#l00169">sharder.cc:169</a></div></div>
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<div class="ttc" id="anamespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdoc">STL namespace.</div></div>
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