Files
ortools-clone/docs/cpp/lp__data__utils_8h_source.html
Laurent Perron 5615fe9c61 regenerate docs
2022-01-17 21:42:14 +01:00

245 lines
42 KiB
HTML

<!-- HTML header for doxygen 1.8.18-->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.9.3"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>OR-Tools: lp_data_utils.h Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtreedata.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
<link href="styleSheet.tmp.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectlogo"><img alt="Logo" src="orLogo.png"/></td>
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">OR-Tools
&#160;<span id="projectnumber">9.2</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.9.3 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "search",'Search','.html');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */
</script>
<div id="main-nav"></div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
<div id="nav-tree">
<div id="nav-tree-contents">
<div id="nav-sync" class="sync"></div>
</div>
</div>
<div id="splitbar" style="-moz-user-select:none;"
class="ui-resizable-handle">
</div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(document).ready(function(){initNavTree('lp__data__utils_8h_source.html',''); initResizable(); });
/* @license-end */
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div class="header">
<div class="headertitle"><div class="title">lp_data_utils.h</div></div>
</div><!--header-->
<div class="contents">
<a href="lp__data__utils_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment">// Utility helpers for manipulating LinearProgram and other types defined in</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment">// lp_data.</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#ifndef OR_TOOLS_LP_DATA_LP_DATA_UTILS_H_</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#define OR_TOOLS_LP_DATA_LP_DATA_UTILS_H_</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;<a class="code" href="parameters_8pb_8h.html">ortools/glop/parameters.pb.h</a>&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;<a class="code" href="lp__data_8h.html">ortools/lp_data/lp_data.h</a>&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;<a class="code" href="matrix__scaler_8h.html">ortools/lp_data/matrix_scaler.h</a>&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">namespace </span>glop {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">// For all constraints in linear_program, if the constraint has a slack</span></div>
<div class="line"><a id="l00029" 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>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// satisfied.</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// Note that this obviously won&#39;t always imply that the bounds of the slack</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// variable itself will be satisfied.</span></div>
<div class="line"><a id="l00033" 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>
<div class="line"><a id="l00034" 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>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">// LinearProgram::AddSlackVariablesWhereNecessary().</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#abd4b14641c2dbc6319f036237a8c696c">ComputeSlackVariablesValues</a>(<span class="keyword">const</span> LinearProgram&amp; linear_program,</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a4dc8ae0f97c4110f3cc770715b2bbd12">DenseRow</a>* values);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">// This is separated from LinearProgram class because of a cyclic dependency</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// when scaling as an LP.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#ac9c215aa509854e985e62d8cdf0a33cc">Scale</a>(LinearProgram* lp, SparseMatrixScaler* scaler,</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <a class="code hl_typedef" href="classoperations__research_1_1glop_1_1_glop_parameters.html#ab5c256b3d6388f8315eef4ced70ef16b">GlopParameters::ScalingAlgorithm</a> scaling_method);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" 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>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">// don&#39;t specify one.</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#ac9c215aa509854e985e62d8cdf0a33cc">Scale</a>(LinearProgram* lp, SparseMatrixScaler* scaler);</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment">// Class to facilitate the conversion between an original &quot;unscaled&quot; LP problem</span></div>
<div class="line"><a id="l00049" 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>
<div class="line"><a id="l00050" 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>
<div class="line"><a id="l00051" 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 hl_class" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html">LpScalingHelper</a> {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// Scale the given LP.</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">Scale</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>* lp);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a306cb123e8da242a6daf1c397dfe6e73">Scale</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_glop_parameters.html">GlopParameters</a>&amp; params, <a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>* lp);</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// Clear all scaling coefficients.</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// Transforms value from unscaled domain to the scaled one.</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5900cbf4a54c8bb22b36ea1339527bb1">ScaleVariableValue</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#adaf2c1398017103f1ada5297a1a4f259">ScaleReducedCost</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ae0ddb9c84ad007d6014a40cbfc7104d8">ScaleDualValue</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a413b089a14c4775faeeee6976f09ea55">ScaleConstraintActivity</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// Transforms corresponding value from the scaled domain to the original one.</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a60d41c66b603be0ec7517d437e5c63ec">UnscaleVariableValue</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a7bda8ecfedb49d8fe3fa3868b49b1588">UnscaleReducedCost</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ad59ff81132bc4f1ac9759c7bf20e6964">UnscaleDualValue</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#adfdef00e17a2e0795dce8399a0ccb5fa">UnscaleConstraintActivity</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// Unscale a row vector v such that v.B = unit_row. When basis_col is the</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// index of the Column that correspond to the unit position in matrix B.</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a81f7bb96d3d5e616410cca59f13eba73">UnscaleUnitRowLeftSolve</a>(ColIndex basis_col,</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_row.html">ScatteredRow</a>* left_inverse) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// Unscale a col vector v such that B.c = matrix_column_col.</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aaf4b73351a4b8c368c8dcfd4832f4250">UnscaleColumnRightSolve</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowToColMapping</a>&amp; basis, ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>,</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_scattered_column.html">ScatteredColumn</a>* right_inverse) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// A variable value in the original domain must be multiplied by this factor</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// to be in the scaled domain.</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5eb3e38eae8f5143d627e8c85aff8cd7">VariableScalingFactor</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// Visible for testing. All objective coefficients of the original LP where</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// multiplied by this factor. Nothing else changed.</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#aebb7e49f74b955d92d0ac64c45ecc4d1"> 87</a></span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" 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>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Visible for testing. All variable/constraint bounds of the original LP</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// where multiplied by this factor. Nothing else changed.</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#afa3b3aeb098e0a00b20baf16999c68c9"> 91</a></span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#afa3b3aeb098e0a00b20baf16999c68c9">ObjectiveScalingFactor</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">return</span> objective_scaling_factor_;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix_scaler.html">SparseMatrixScaler</a> scaler_;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> bound_scaling_factor_ = 1.0;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> objective_scaling_factor_ = 1.0;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span>};</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span>} <span class="comment">// namespace glop</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_LP_DATA_LP_DATA_UTILS_H_</span></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_glop_parameters_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_glop_parameters.html">operations_research::glop::GlopParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="parameters_8pb_8h_source.html#l00194">parameters.pb.h:195</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_glop_parameters_html_ab5c256b3d6388f8315eef4ced70ef16b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_glop_parameters.html#ab5c256b3d6388f8315eef4ced70ef16b">operations_research::glop::GlopParameters::ScalingAlgorithm</a></div><div class="ttdeci">GlopParameters_ScalingAlgorithm ScalingAlgorithm</div><div class="ttdef"><b>Definition:</b> <a href="parameters_8pb_8h_source.html#l00320">parameters.pb.h:320</a></div></div>
<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>
<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>
<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>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a413b089a14c4775faeeee6976f09ea55"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a413b089a14c4775faeeee6976f09ea55">operations_research::glop::LpScalingHelper::ScaleConstraintActivity</a></div><div class="ttdeci">Fractional ScaleConstraintActivity(RowIndex row, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00114">lp_data_utils.cc:114</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_a5900cbf4a54c8bb22b36ea1339527bb1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#a5900cbf4a54c8bb22b36ea1339527bb1">operations_research::glop::LpScalingHelper::ScaleVariableValue</a></div><div class="ttdeci">Fractional ScaleVariableValue(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>
<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>
<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#l00120">lp_data_utils.cc:120</a></div></div>
<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#l00126">lp_data_utils.cc:126</a></div></div>
<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#l00144">lp_data_utils.cc:144</a></div></div>
<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>
<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 &amp;basis, ColIndex col, ScatteredColumn *right_inverse) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00163">lp_data_utils.cc:163</a></div></div>
<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#l00132">lp_data_utils.cc:132</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_adaf2c1398017103f1ada5297a1a4f259"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#adaf2c1398017103f1ada5297a1a4f259">operations_research::glop::LpScalingHelper::ScaleReducedCost</a></div><div class="ttdeci">Fractional ScaleReducedCost(ColIndex col, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00102">lp_data_utils.cc:102</a></div></div>
<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#l00138">lp_data_utils.cc:138</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_lp_scaling_helper_html_ae0ddb9c84ad007d6014a40cbfc7104d8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_lp_scaling_helper.html#ae0ddb9c84ad007d6014a40cbfc7104d8">operations_research::glop::LpScalingHelper::ScaleDualValue</a></div><div class="ttdeci">Fractional ScaleDualValue(RowIndex row, Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data__utils_8cc_source.html#l00108">lp_data_utils.cc:108</a></div></div>
<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#l00087">lp_data_utils.h:87</a></div></div>
<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#l00091">lp_data_utils.h:91</a></div></div>
<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>
<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&lt; RowIndex, ColIndex &gt;</a></div></div>
<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>
<div class="ttc" id="alp__data_8h_html"><div class="ttname"><a href="lp__data_8h.html">lp_data.h</a></div></div>
<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
<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>
<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>
<div class="ttc" id="amatrix__scaler_8h_html"><div class="ttname"><a href="matrix__scaler_8h.html">matrix_scaler.h</a></div></div>
<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&lt; ColIndex, Fractional &gt; DenseRow</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00303">lp_types.h:303</a></div></div>
<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>
<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 &amp;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>
<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>
<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>
<div class="ttc" id="aparameters_8pb_8h_html"><div class="ttname"><a href="parameters_8pb_8h.html">parameters.pb.h</a></div></div>
<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>
<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>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- HTML footer for doxygen 1.8.18-->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="dir_a7cc1eeded8f693d0da6c729bc88c45a.html">ortools</a></li><li class="navelem"><a class="el" href="dir_903a7ff076ee7f01be86992fe717fc82.html">lp_data</a></li><li class="navelem"><a class="el" href="lp__data__utils_8h.html">lp_data_utils.h</a></li>
<li class="footer">Generated by
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.9.3 </li>
</ul>
</div>
</body>
</html>