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233 lines
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<div class="title">lp_data_utils.h</div> </div>
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<a href="lp__data__utils_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// Utility helpers for manipulating LinearProgram and other types defined in</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">// lp_data.</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#ifndef OR_TOOLS_LP_DATA_LP_DATA_UTILS_H_</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#define OR_TOOLS_LP_DATA_LP_DATA_UTILS_H_</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="parameters_8pb_8h.html">ortools/glop/parameters.pb.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="lp__data_8h.html">ortools/lp_data/lp_data.h</a>"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>"</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "<a class="code" href="matrix__scaler_8h.html">ortools/lp_data/matrix_scaler.h</a>"</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">namespace </span>glop {</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// For all constraints in linear_program, if the constraint has a slack</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// variable, change its value in *values so that the constraints itself is</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// satisfied.</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// Note that this obviously won't always imply that the bounds of the slack</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// variable itself will be satisfied.</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// The code assumes (and DCHECKs) that all constraints with a slack variable</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// have their upper and lower bounds both set to 0. This is ensured by</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// LinearProgram::AddSlackVariablesWhereNecessary().</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#abd4b14641c2dbc6319f036237a8c696c">ComputeSlackVariablesValues</a>(<span class="keyword">const</span> LinearProgram& linear_program,</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a>* values);</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// This is separated from LinearProgram class because of a cyclic dependency</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// when scaling as an LP.</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ac9c215aa509854e985e62d8cdf0a33cc">Scale</a>(LinearProgram* lp, SparseMatrixScaler* scaler,</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  GlopParameters::ScalingAlgorithm scaling_method);</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  </div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// A convenience method for above providing a default algorithm for callers that</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// don't specify one.</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> <a class="code" href="namespaceoperations__research_1_1glop.html#ac9c215aa509854e985e62d8cdf0a33cc">Scale</a>(LinearProgram* lp, SparseMatrixScaler* scaler);</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// Class to facilitate the conversion between an original "unscaled" LP problem</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// and its scaled version. It is easy to get the direction wrong, so it make</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// sense to have a single place where all the scaling formulas are kept.</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html"> 51</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html">LpScalingHelper</a> {</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// Scale the given LP.</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">Scale</a>(<a class="code" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>* lp);</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">Scale</a>(<span class="keyword">const</span> GlopParameters& params, <a class="code" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>* lp);</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// Clear all scaling coefficients.</span></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// A variable value in the original domain must be multiplied by this factor</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// to be in the scaled domain.</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">VariableScalingFactor</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// Transforms corresponding value from the scaled domain to the original one.</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a60d41c66b603be0ec7517d437e5c63ec">UnscaleVariableValue</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a7bda8ecfedb49d8fe3fa3868b49b1588">UnscaleReducedCost</a>(ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ad59ff81132bc4f1ac9759c7bf20e6964">UnscaleDualValue</a>(RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#adfdef00e17a2e0795dce8399a0ccb5fa">UnscaleConstraintActivity</a>(RowIndex <a class="code" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// Unscale a row vector v such that v.B = unit_row. When basis_col is the</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="comment">// index of the Column that correspond to the unit position in matrix B.</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a81f7bb96d3d5e616410cca59f13eba73">UnscaleUnitRowLeftSolve</a>(ColIndex basis_col,</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* left_inverse) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// Unscale a col vector v such that B.c = matrix_column_col.</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aaf4b73351a4b8c368c8dcfd4832f4250">UnscaleColumnRightSolve</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowToColMapping</a>& basis, ColIndex <a class="code" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>,</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>* right_inverse) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Visible for testing. All objective coefficients of the original LP where</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// multiplied by this factor. Nothing else changed.</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aebb7e49f74b955d92d0ac64c45ecc4d1"> 81</a></span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aebb7e49f74b955d92d0ac64c45ecc4d1">BoundsScalingFactor</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> bound_scaling_factor_; }</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  </div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// Visible for testing. All variable/constraint bounds of the original LP</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// where multiplied by this factor. Nothing else changed.</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#afa3b3aeb098e0a00b20baf16999c68c9"> 85</a></span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#afa3b3aeb098e0a00b20baf16999c68c9">ObjectiveScalingFactor</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">return</span> objective_scaling_factor_;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  }</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="classoperations__research_1_1glop_1_1_sparse_matrix_scaler.html">SparseMatrixScaler</a> scaler_;</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> bound_scaling_factor_ = 1.0;</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> objective_scaling_factor_ = 1.0;</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> };</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> } <span class="comment">// namespace glop</span></div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_LP_DATA_LP_DATA_UTILS_H_</span></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html">operations_research::glop::LinearProgram</a></div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00055">lp_data.h:55</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html">operations_research::glop::LpScalingHelper</a></div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8h_source.html#l00051">lp_data_utils.h:51</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a306cb123e8da242a6daf1c397dfe6e73"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">operations_research::glop::LpScalingHelper::Scale</a></div><div class="ttdeci">void Scale(LinearProgram *lp)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00076">lp_data_utils.cc:76</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a5eb3e38eae8f5143d627e8c85aff8cd7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">operations_research::glop::LpScalingHelper::VariableScalingFactor</a></div><div class="ttdeci">Fractional VariableScalingFactor(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00091">lp_data_utils.cc:91</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a60d41c66b603be0ec7517d437e5c63ec"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a60d41c66b603be0ec7517d437e5c63ec">operations_research::glop::LpScalingHelper::UnscaleVariableValue</a></div><div class="ttdeci">Fractional UnscaleVariableValue(ColIndex col, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00097">lp_data_utils.cc:97</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a7bda8ecfedb49d8fe3fa3868b49b1588"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a7bda8ecfedb49d8fe3fa3868b49b1588">operations_research::glop::LpScalingHelper::UnscaleReducedCost</a></div><div class="ttdeci">Fractional UnscaleReducedCost(ColIndex col, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00103">lp_data_utils.cc:103</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a81f7bb96d3d5e616410cca59f13eba73"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a81f7bb96d3d5e616410cca59f13eba73">operations_research::glop::LpScalingHelper::UnscaleUnitRowLeftSolve</a></div><div class="ttdeci">void UnscaleUnitRowLeftSolve(ColIndex basis_col, ScatteredRow *left_inverse) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00121">lp_data_utils.cc:121</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::LpScalingHelper::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00085">lp_data_utils.cc:85</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_aaf4b73351a4b8c368c8dcfd4832f4250"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aaf4b73351a4b8c368c8dcfd4832f4250">operations_research::glop::LpScalingHelper::UnscaleColumnRightSolve</a></div><div class="ttdeci">void UnscaleColumnRightSolve(const RowToColMapping &basis, ColIndex col, ScatteredColumn *right_inverse) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00140">lp_data_utils.cc:140</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_ad59ff81132bc4f1ac9759c7bf20e6964"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ad59ff81132bc4f1ac9759c7bf20e6964">operations_research::glop::LpScalingHelper::UnscaleDualValue</a></div><div class="ttdeci">Fractional UnscaleDualValue(RowIndex row, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00109">lp_data_utils.cc:109</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_adfdef00e17a2e0795dce8399a0ccb5fa"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#adfdef00e17a2e0795dce8399a0ccb5fa">operations_research::glop::LpScalingHelper::UnscaleConstraintActivity</a></div><div class="ttdeci">Fractional UnscaleConstraintActivity(RowIndex row, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00115">lp_data_utils.cc:115</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_aebb7e49f74b955d92d0ac64c45ecc4d1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aebb7e49f74b955d92d0ac64c45ecc4d1">operations_research::glop::LpScalingHelper::BoundsScalingFactor</a></div><div class="ttdeci">Fractional BoundsScalingFactor() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8h_source.html#l00081">lp_data_utils.h:81</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_afa3b3aeb098e0a00b20baf16999c68c9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#afa3b3aeb098e0a00b20baf16999c68c9">operations_research::glop::LpScalingHelper::ObjectiveScalingFactor</a></div><div class="ttdeci">Fractional ObjectiveScalingFactor() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8h_source.html#l00085">lp_data_utils.h:85</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_scaler_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix_scaler.html">operations_research::glop::SparseMatrixScaler</a></div><div class="ttdef"><b>Definition:</b> <a href="matrix__scaler_8h_source.html#l00078">matrix_scaler.h:78</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1glop_1_1_strict_i_t_i_vector_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">operations_research::glop::StrictITIVector< RowIndex, ColIndex ></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="alp__data_8h_html"><div class="ttname"><a href="lp__data_8h.html">lp_data.h</a></div></div>
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<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
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<div class="ttc" id="amarkowitz_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c"><div class="ttname"><a href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a></div><div class="ttdeci">ColIndex col</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00183">markowitz.cc:183</a></div></div>
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<div class="ttc" id="amarkowitz_8cc_html_aea35f36ba98d5bbd8d033382f50c9e52"><div class="ttname"><a href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a></div><div class="ttdeci">RowIndex row</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00182">markowitz.cc:182</a></div></div>
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<div class="ttc" id="amatrix__scaler_8h_html"><div class="ttname"><a href="matrix__scaler_8h.html">matrix_scaler.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a4dc8ae0f97c4110f3cc770715b2bbd12"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">operations_research::glop::DenseRow</a></div><div class="ttdeci">StrictITIVector< ColIndex, Fractional > DenseRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00300">lp_types.h:300</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">operations_research::glop::Fractional</a></div><div class="ttdeci">double Fractional</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00078">lp_types.h:78</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_abd4b14641c2dbc6319f036237a8c696c"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#abd4b14641c2dbc6319f036237a8c696c">operations_research::glop::ComputeSlackVariablesValues</a></div><div class="ttdeci">void ComputeSlackVariablesValues(const LinearProgram &linear_program, DenseRow *values)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00019">lp_data_utils.cc:19</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ac9c215aa509854e985e62d8cdf0a33cc"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ac9c215aa509854e985e62d8cdf0a33cc">operations_research::glop::Scale</a></div><div class="ttdeci">void Scale(LinearProgram *lp, SparseMatrixScaler *scaler)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00052">lp_data_utils.cc:52</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="aparameters_8pb_8h_html"><div class="ttname"><a href="parameters_8pb_8h.html">parameters.pb.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_column_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_column.html">operations_research::glop::ScatteredColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00196">scattered_vector.h:197</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1glop_1_1_scattered_row_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_scattered_row.html">operations_research::glop::ScatteredRow</a></div><div class="ttdef"><b>Definition:</b> <a href="scattered__vector_8h_source.html#l00198">scattered_vector.h:198</a></div></div>
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