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<div class="headertitle"><div class="title">sparse_submatrix.cc</div></div>
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<a href="sparse__submatrix_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="sparse__submatrix_8h.html">ortools/math_opt/core/sparse_submatrix.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 <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <optional></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <utility></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 "absl/container/flat_hash_map.h"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "absl/types/span.h"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "<a class="code" href="math__opt_2core_2sparse__vector_8h.html">ortools/math_opt/core/sparse_vector.h</a>"</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="sparse__vector__view_8h.html">ortools/math_opt/core/sparse_vector_view.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 "ortools/math_opt/sparse_containers.pb.h"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research_1_1math__opt.html">operations_research::math_opt</a> {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span>{</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// A semi-open range [start, end). If end is nullopt, all indices >= start are</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// included.</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="keyword">struct </span>IndexRange {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe"> 35</a></span> int64_t <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a>;</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7"> 36</a></span> std::optional<int64_t> <a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a>;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// Returns true if the input value is in the [start, end) range.</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">bool</span> Contains(<span class="keyword">const</span> int64_t <span class="keywordtype">id</span>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">return</span> <span class="keywordtype">id</span> >= <a class="code hl_variable" href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a> && (!<a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a>.has_value() || <span class="keywordtype">id</span> < *<a class="code hl_variable" href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a>);</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> }</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</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>} <span class="comment">// namespace</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1math__opt.html#a73f32c619b1fc9c62bcd6c6b9123bb61"> 46</a></span><a class="code hl_typedef" href="namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414">SparseSubmatrixRowsView</a> <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a73f32c619b1fc9c62bcd6c6b9123bb61">SparseSubmatrixByRows</a>(</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">const</span> SparseDoubleMatrixProto& matrix, <span class="keyword">const</span> int64_t start_row_id,</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">const</span> std::optional<int64_t> end_row_id, <span class="keyword">const</span> int64_t start_col_id,</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">const</span> std::optional<int64_t> end_col_id) {</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">const</span> <span class="keywordtype">int</span> matrix_size = matrix.row_ids_size();</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix_size, matrix.column_ids_size());</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(matrix_size, matrix.coefficients_size());</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">const</span> IndexRange row_range = {.start = start_row_id, .end = end_row_id};</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">const</span> IndexRange col_range = {.start = start_col_id, .end = end_col_id};</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414">SparseSubmatrixRowsView</a> filtered_rows;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// row_start, next_row_start and row_end are indices into the matrix data.</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row_start = 0, next_row_start; row_start < matrix_size;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// next_row_start is set from row_end once found at the start of the loop</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// below.</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> row_start = next_row_start) {</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// Find the end of the current row such that all index in [start, end) are</span></div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// for the same row.</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">const</span> int64_t row_id = matrix.row_ids(row_start);</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">int</span> row_end = row_start + 1;</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">while</span> (row_end < matrix_size && matrix.row_ids(row_end) == row_id) {</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> ++row_end;</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> }</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// Prepare the next iteration.</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> next_row_start = row_end;</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// Ignore rows not in the expected range.</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">if</span> (!row_range.Contains(row_id)) {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// Finds the first column or the row in the col_range.</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">int</span> row_cols_start = row_start;</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">while</span> (row_cols_start < row_end &&</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> !col_range.Contains(matrix.column_ids(row_cols_start))) {</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> ++row_cols_start;</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> }</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> <span class="comment">// Finds the first column greater of equal to row_cols_start that is not in</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// the col_range.</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordtype">int</span> row_cols_end = row_cols_start;</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">while</span> (row_cols_end < row_end &&</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> col_range.Contains(matrix.column_ids(row_cols_end))) {</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> ++row_cols_end;</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">const</span> <span class="keywordtype">int</span> row_cols_len = row_cols_end - row_cols_start;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">if</span> (row_cols_len != 0) {</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> filtered_rows.emplace_back(</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> row_id, <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a80e158d48db32a3bbbe915179b36e405">MakeView</a>(absl::MakeConstSpan(matrix.column_ids())</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> .subspan(row_cols_start, row_cols_len),</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> absl::MakeConstSpan(matrix.coefficients())</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> .subspan(row_cols_start, row_cols_len)));</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> filtered_rows;</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1math__opt.html#a132f7f9e7f159f70ae154dde62b54efb"> 107</a></span>std::vector<std::pair<int64_t, SparseVector<double>>> <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a132f7f9e7f159f70ae154dde62b54efb">TransposeSparseSubmatrix</a>(</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414">SparseSubmatrixRowsView</a>& submatrix_by_rows) {</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// Extract the columns by iterating on the filtered views of the rows (the</span></div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// matrix is row major).</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> absl::flat_hash_map<int64_t, SparseVector<double>> filtered_columns;</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [row_id, column_values] : submatrix_by_rows) {</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [column_id, <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>] : column_values) {</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_struct" href="structoperations__research_1_1math__opt_1_1_sparse_vector.html">SparseVector<double></a>& row_values = filtered_columns[column_id];</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> row_values.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_sparse_vector.html#a96ca4b9a99a21af771ded6cf3e97c361">ids</a>.push_back(row_id);</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> row_values.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_sparse_vector.html#ad2ef762d52910159ce2388433f87441d">values</a>.push_back(<a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>);</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</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> </div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// The output should be sorted by column id.</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::vector<std::pair<int64_t, SparseVector<double>>> sorted_filtered_columns(</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::make_move_iterator(filtered_columns.begin()),</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::make_move_iterator(filtered_columns.end()));</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::sort(sorted_filtered_columns.begin(), sorted_filtered_columns.end(),</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> [](<span class="keyword">const</span> std::pair<int64_t, <a class="code hl_struct" href="structoperations__research_1_1math__opt_1_1_sparse_vector.html">SparseVector<double></a>>& lhs,</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">const</span> std::pair<int64_t, <a class="code hl_struct" href="structoperations__research_1_1math__opt_1_1_sparse_vector.html">SparseVector<double></a>>& rhs) {</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> return lhs.first < rhs.first;</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> <span class="keywordflow">return</span> sorted_filtered_columns;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>}</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>} <span class="comment">// namespace operations_research::math_opt</span></div>
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<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_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="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
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<div class="ttc" id="amath__opt_2core_2sparse__vector_8h_html"><div class="ttname"><a href="math__opt_2core_2sparse__vector_8h.html">sparse_vector.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html">operations_research::math_opt</a></div><div class="ttdef"><b>Definition:</b> <a href="arrow__operator__proxy_8h_source.html#l00020">arrow_operator_proxy.h:20</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a132f7f9e7f159f70ae154dde62b54efb"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a132f7f9e7f159f70ae154dde62b54efb">operations_research::math_opt::TransposeSparseSubmatrix</a></div><div class="ttdeci">std::vector< std::pair< int64_t, SparseVector< double > > > TransposeSparseSubmatrix(const SparseSubmatrixRowsView &submatrix_by_rows)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00107">sparse_submatrix.cc:107</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a592c92a8c6da987d69b7d77512b2d414"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a592c92a8c6da987d69b7d77512b2d414">operations_research::math_opt::SparseSubmatrixRowsView</a></div><div class="ttdeci">std::vector< std::pair< int64_t, SparseVectorView< double > > > SparseSubmatrixRowsView</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8h_source.html#l00031">sparse_submatrix.h:32</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a73f32c619b1fc9c62bcd6c6b9123bb61"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a73f32c619b1fc9c62bcd6c6b9123bb61">operations_research::math_opt::SparseSubmatrixByRows</a></div><div class="ttdeci">SparseSubmatrixRowsView SparseSubmatrixByRows(const SparseDoubleMatrixProto &matrix, const int64_t start_row_id, const std::optional< int64_t > end_row_id, const int64_t start_col_id, const std::optional< int64_t > end_col_id)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00046">sparse_submatrix.cc:46</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a80e158d48db32a3bbbe915179b36e405"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a80e158d48db32a3bbbe915179b36e405">operations_research::math_opt::MakeView</a></div><div class="ttdeci">SparseVectorView< T > MakeView(absl::Span< const int64_t > ids, const Collection &values)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__vector__view_8h_source.html#l00144">sparse_vector_view.h:144</a></div></div>
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<div class="ttc" id="asparse__submatrix_8cc_html_a4d53eac2ef2732c28fa9fb663e0c19a7"><div class="ttname"><a href="sparse__submatrix_8cc.html#a4d53eac2ef2732c28fa9fb663e0c19a7">end</a></div><div class="ttdeci">std::optional< int64_t > end</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00036">sparse_submatrix.cc:36</a></div></div>
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<div class="ttc" id="asparse__submatrix_8cc_html_a9b7656b922ea4ec96097d7380c0e61fe"><div class="ttname"><a href="sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe">start</a></div><div class="ttdeci">int64_t start</div><div class="ttdef"><b>Definition:</b> <a href="sparse__submatrix_8cc_source.html#l00035">sparse_submatrix.cc:35</a></div></div>
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<div class="ttc" id="asparse__submatrix_8h_html"><div class="ttname"><a href="sparse__submatrix_8h.html">sparse_submatrix.h</a></div></div>
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<div class="ttc" id="asparse__vector__view_8h_html"><div class="ttname"><a href="sparse__vector__view_8h.html">sparse_vector_view.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_sparse_vector_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_sparse_vector.html">operations_research::math_opt::SparseVector</a></div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2core_2sparse__vector_8h_source.html#l00026">math_opt/core/sparse_vector.h:26</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_sparse_vector_html_a96ca4b9a99a21af771ded6cf3e97c361"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_sparse_vector.html#a96ca4b9a99a21af771ded6cf3e97c361">operations_research::math_opt::SparseVector::ids</a></div><div class="ttdeci">std::vector< int64_t > ids</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2core_2sparse__vector_8h_source.html#l00028">math_opt/core/sparse_vector.h:28</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_sparse_vector_html_ad2ef762d52910159ce2388433f87441d"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_sparse_vector.html#ad2ef762d52910159ce2388433f87441d">operations_research::math_opt::SparseVector::values</a></div><div class="ttdeci">std::vector< T > values</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2core_2sparse__vector_8h_source.html#l00031">math_opt/core/sparse_vector.h:31</a></div></div>
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