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<a href="lp__data_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">//</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment">// Storage classes for Linear Programs.</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment">//</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment">// LinearProgram stores the complete data for a Linear Program:</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment">// - objective coefficients and offset,</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment">// - cost coefficients,</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment">// - coefficient matrix,</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment">// - bounds for each variable,</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment">// - bounds for each constraint.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#ifndef OR_TOOLS_LP_DATA_LP_DATA_H_</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#define OR_TOOLS_LP_DATA_LP_DATA_H_</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;algorithm&gt;</span> <span class="comment">// for max</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &lt;map&gt;</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &lt;string&gt;</span> <span class="comment">// for string</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &lt;vector&gt;</span> <span class="comment">// for vector</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include &quot;absl/container/flat_hash_set.h&quot;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include &quot;<a class="code" href="hash_8h.html">ortools/base/hash.h</a>&quot;</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include &quot;<a class="code" href="int__type_8h.html">ortools/base/int_type.h</a>&quot;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include &quot;<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>&quot;</span> <span class="comment">// for CHECK*</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="preprocessor">#include &quot;<a class="code" href="macros_8h.html">ortools/base/macros.h</a>&quot;</span> <span class="comment">// for DISALLOW_COPY_AND_ASSIGN, NULL</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</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="l00040" name="l00040"></a><span class="lineno"> 40</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="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="preprocessor">#include &quot;<a class="code" href="sparse_8h.html">ortools/lp_data/sparse.h</a>&quot;</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include &quot;<a class="code" href="fp__utils_8h.html">ortools/util/fp_utils.h</a>&quot;</span></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="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="keyword">namespace </span>glop {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="keyword">class </span>SparseMatrixScaler;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">// The LinearProgram class is used to store a linear problem in a form</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// accepted by LPSolver.</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">//</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">// In addition to the simple setter functions used to create such problems, the</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">// class also contains a few more advanced modification functions used primarily</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment">// by preprocessors. A client shouldn&#39;t need to use them directly.</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html"> 55</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a> {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#ac62972ff1b21a037e56530cde67309ab"> 57</a></span> <span class="keyword">enum class</span> <a class="code hl_enumeration" href="classoperations__research_1_1glop_1_1_linear_program.html#ac62972ff1b21a037e56530cde67309ab">VariableType</a> {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// The variable can take any value between and including its lower and upper</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// bound.</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> CONTINUOUS,</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// The variable must only take integer values.</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> INTEGER,</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// The variable is implied integer variable i.e. it was continuous variable</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// in the LP and was detected to take only integer values.</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> IMPLIED_INTEGER</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> };</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#abcea67382d5e095491b022a7aa4291a7">LinearProgram</a>();</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// Clears, i.e. reset the object to its initial value.</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// Name setter and getter.</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a940d484bb6523277e1d2c742f4f534a4"> 74</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a940d484bb6523277e1d2c742f4f534a4">SetName</a>(<span class="keyword">const</span> std::string&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>) { name_ = <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>; }</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b"> 75</a></span> <span class="keyword">const</span> std::string&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> name_; }</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">// Creates a new variable and returns its index.</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// By default, the column bounds will be [0, infinity).</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a695ac3d8db5a986f572711f2ef3a6a39">CreateNewVariable</a>();</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">// Creates a new slack variable and returns its index. Do not use this method</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// to create non-slack variables.</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a69d82a65001991de390a5acc122573f3">CreateNewSlackVariable</a>(<span class="keywordtype">bool</span> is_integer_slack_variable,</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">const</span> std::string&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// Creates a new constraint and returns its index.</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// By default, the constraint bounds will be [0, 0].</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> RowIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ad9d564651057c77b3f2ca1293134557f">CreateNewConstraint</a>();</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Same as CreateNewVariable() or CreateNewConstraint() but also assign an</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// immutable id to the variable or constraint so they can be retrieved later.</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// By default, the name is also set to this id, but it can be changed later</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// without changing the id.</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">//</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// Note that these ids are NOT copied over by the Populate*() functions.</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">//</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// TODO(user): Move these and the two corresponding hash_table into a new</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// LinearProgramBuilder class to simplify the code of some functions like</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// DeleteColumns() here and make the behavior on copy clear? or simply remove</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// them as it is almost as easy to maintain a hash_table on the client side.</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a4e1fb82cbbf024213eae338216bf601e">FindOrCreateVariable</a>(<span class="keyword">const</span> std::string&amp; variable_id);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> RowIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a6b50792950c42b62e8bf4ed596aebb27">FindOrCreateConstraint</a>(<span class="keyword">const</span> std::string&amp; constraint_id);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// Functions to set the name of a variable or constraint. Note that you</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// won&#39;t be able to find those named variables/constraints with</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="comment">// FindOrCreate{Variable|Constraint}().</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// TODO(user): Add PopulateIdsFromNames() so names added via</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// Set{Variable|Constraint}Name() can be found.</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a45e12b3d1e2daa3e00bab9d7bf72f444">SetVariableName</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, absl::string_view <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a1c4c019028d8b012b9d10e0a17bfaf4e">SetConstraintName</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>, absl::string_view <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// Set the type of the variable.</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a7ddcdc56f25d075e18d62ddbcd3389b2">SetVariableType</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a4452e21ffb34da40470f1e0791800027">VariableType</a> type);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// Returns whether the variable at column col is constrained to be integer.</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ab4f3103f39bdbb86151baed2347f7b0a">IsVariableInteger</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="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// Returns whether the variable at column col must take binary values or not.</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ab8efe00bb016665606d522a42543cd96">IsVariableBinary</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="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// Defines lower and upper bounds for the variable at col. Note that the</span></div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// bounds may be set to +/- infinity. The variable must have been created</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// before or this will crash in non-debug mode.</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">SetVariableBounds</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="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// Defines lower and upper bounds for the constraint at row. Note that the</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// bounds may be set to +/- infinity. If the constraint wasn&#39;t created before,</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// all the rows from the current GetNumberOfRows() to the given row will be</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// created with a range [0,0].</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a62b98dec38b6506442f9fc63f1a9b88f">SetConstraintBounds</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="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// Defines the coefficient for col / row.</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2d695f450ae446d5d9c225b991f8d88e">SetCoefficient</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</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>);</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="comment">// Defines the objective coefficient of column col.</span></div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// It is set to 0.0 by default.</span></div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ab5af7f232cddcd91f70be84c0d398ba9">SetObjectiveCoefficient</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>);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// Define the objective offset (0.0 by default) and scaling factor (positive</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="comment">// and equal to 1.0 by default). This is mainly used for displaying purpose</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// and the real objective is factor * (objective + offset).</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2a29cc40908e09b0c565ceea15b77d89">SetObjectiveOffset</a>(<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_linear_program.html#a81334c7ceae9d68a38fe4d4bf0b7794c">objective_offset</a>);</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a01a5a464aad9b500e5f07b0457520762">SetObjectiveScalingFactor</a>(<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_linear_program.html#adf55bb4fcaab95674f072cb528d426a0">objective_scaling_factor</a>);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// Defines the optimization direction. When maximize is true (resp. false),</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// the objective is maximized (resp. minimized). The default is false.</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ae3201a343d8df987411b55830bff7fa3">SetMaximizationProblem</a>(<span class="keywordtype">bool</span> maximize);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="comment">// Calls CleanUp() on each columns.</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// That is, removes duplicates, zeros, and orders the coefficients by row.</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#abfc30f91ab75c6f4552003f777672e74">CleanUp</a>();</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="comment">// Returns true if all the columns are ordered by rows and contain no</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// duplicates or zero entries (i.e. if IsCleanedUp() is true for all columns).</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a5e016d204d43b2cc4a2773c25462968a">IsCleanedUp</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">// Functions that return the name of a variable or constraint. If the name is</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">// empty, they return a special name that depends on the index.</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a18b017687d9940cc46c92e3937a18882">GetVariableName</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="l00164" name="l00164"></a><span class="lineno"> 164</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a8d7d21abe90edddc22416e5db1db563f">GetConstraintName</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="comment">// Returns the type of variable.</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a4452e21ffb34da40470f1e0791800027">VariableType</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a6b0e95d320fd02517fdd0adaadca3d71">GetVariableType</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="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// Returns true (resp. false) when the problem is a maximization</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// (resp. minimization) problem.</span></div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#accdd045ec09206640c2338524da77d23"> 171</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#accdd045ec09206640c2338524da77d23">IsMaximizationProblem</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> maximize_; }</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// Returns the underlying SparseMatrix or its transpose (which may need to be</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// computed).</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#ad97d7cdf5aa8b8704f95084d54a2beb1"> 175</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ad97d7cdf5aa8b8704f95084d54a2beb1">GetSparseMatrix</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> matrix_; }</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2175025047722705a3af86e54229f9cd">GetTransposeSparseMatrix</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// Some transformations are better done on the transpose representation. These</span></div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// two functions are here for that. Note that calling the first function and</span></div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="comment">// modifying the matrix does not change the result of any function in this</span></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// class until UseTransposeMatrixAsReference() is called. This is because the</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// transpose matrix is only used by GetTransposeSparseMatrix() and this</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="comment">// function will recompute the whole transpose from the matrix. In particular,</span></div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// do not call GetTransposeSparseMatrix() while you modify the matrix returned</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// by GetMutableTransposeSparseMatrix() otherwise all your changes will be</span></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// lost.</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">//</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// IMPORTANT: The matrix dimension cannot change. Otherwise this will cause</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// problems. This is checked in debug mode when calling</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// UseTransposeMatrixAsReference().</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>* <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a007496c4e4962b2fa4d2e996fd7b4cf6">GetMutableTransposeSparseMatrix</a>();</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a9ac8fe8120fdded43c5fa888bd696d3e">UseTransposeMatrixAsReference</a>();</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> </div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// Release the memory used by the transpose matrix.</span></div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a40b46f23f42f169a527de50e016c2096">ClearTransposeMatrix</a>();</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="comment">// Gets the underlying SparseColumn with the given index.</span></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// This is the same as GetSparseMatrix().column(col);</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aeeee0971281f2781c379fce7a64a5049">GetSparseColumn</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="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// Gets a pointer to the underlying SparseColumn with the given index.</span></div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_column.html">SparseColumn</a>* <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a88cc1c4519b043336ce23cdcec5fb0c2">GetMutableSparseColumn</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// Returns the number of variables.</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#acd8437353d8dc686a75c98b5897dd871"> 205</a></span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#acd8437353d8dc686a75c98b5897dd871">num_variables</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> matrix_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(); }</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// Returns the number of constraints.</span></div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#afda9b9b5e858d0c466d2a6293361004a"> 208</a></span> RowIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#afda9b9b5e858d0c466d2a6293361004a">num_constraints</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> matrix_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">num_rows</a>(); }</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// Returns the number of entries in the linear program matrix.</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#af69d9b7065a8f31604a8134be4307749"> 211</a></span> EntryIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> matrix_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">num_entries</a>(); }</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> </div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// Return the lower bounds (resp. upper bounds) of constraints as a column</span></div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// vector. Note that the bound values may be +/- infinity.</span></div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a5bb553b6a1b88f16c42b70697ac65473"> 215</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a5bb553b6a1b88f16c42b70697ac65473">constraint_lower_bounds</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">return</span> constraint_lower_bounds_;</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a9245b35ee316a27a561d5b041e588be5"> 218</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a9245b35ee316a27a561d5b041e588be5">constraint_upper_bounds</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">return</span> constraint_upper_bounds_;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> }</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="comment">// Returns the objective coefficients (or cost) of variables as a row vector.</span></div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a977f52b2e6fa6e9d6db8d8ac9cbf33c4"> 223</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a977f52b2e6fa6e9d6db8d8ac9cbf33c4">objective_coefficients</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordflow">return</span> objective_coefficients_;</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> }</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="comment">// Return the lower bounds (resp. upper bounds) of variables as a row vector.</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="comment">// Note that the bound values may be +/- infinity.</span></div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#adb3b261831be8afb947baceaba1c220b"> 229</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#adb3b261831be8afb947baceaba1c220b">variable_lower_bounds</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keywordflow">return</span> variable_lower_bounds_;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> }</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a74f1c824468608a9bb5fee6f10eca698"> 232</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a74f1c824468608a9bb5fee6f10eca698">variable_upper_bounds</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">return</span> variable_upper_bounds_;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="comment">// Returns a row vector of VariableType representing types of variables.</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#abfbf1991a6e9ade46b93bb8136a47656"> 237</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector&lt;ColIndex, VariableType&gt;</a> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#abfbf1991a6e9ade46b93bb8136a47656">variable_types</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordflow">return</span> variable_types_;</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> }</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// Returns a list (technically a vector) of the ColIndices of the integer</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// variables. This vector is lazily computed.</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keyword">const</span> std::vector&lt;ColIndex&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a609bcb18cec39c7c43dd7a6d3a51ba81">IntegerVariablesList</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="comment">// Returns a list (technically a vector) of the ColIndices of the binary</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="comment">// integer variables. This vector is lazily computed.</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keyword">const</span> std::vector&lt;ColIndex&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a5b58cfd45475bfab5ce1fe5c81b6da60">BinaryVariablesList</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="comment">// Returns a list (technically a vector) of the ColIndices of the non-binary</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="comment">// integer variables. This vector is lazily computed.</span></div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">const</span> std::vector&lt;ColIndex&gt;&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a814307860c1248b645ea68a8a11a0082">NonBinaryVariablesList</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="comment">// Returns the objective coefficient (or cost) of the given variable for the</span></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="comment">// minimization version of the problem. That is, this is the same as</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="comment">// GetObjectiveCoefficient() for a minimization problem and the opposite for a</span></div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="comment">// maximization problem.</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</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_linear_program.html#a6137c2df856cf2634f9bb259d2aace2b">GetObjectiveCoefficientForMinimizationVersion</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="l00258" name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="comment">// Returns the objective offset and scaling factor.</span></div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a81334c7ceae9d68a38fe4d4bf0b7794c"> 260</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_linear_program.html#a81334c7ceae9d68a38fe4d4bf0b7794c">objective_offset</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> objective_offset_; }</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#adf55bb4fcaab95674f072cb528d426a0"> 261</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_linear_program.html#adf55bb4fcaab95674f072cb528d426a0">objective_scaling_factor</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keywordflow">return</span> objective_scaling_factor_;</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="comment">// Checks if each variable respects its bounds, nothing else.</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a23e637a2ad0316932c194e38f8e5f5f6">SolutionIsWithinVariableBounds</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; solution,</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> absolute_tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="comment">// Tests if the solution is LP-feasible within the given tolerance,</span></div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// i.e., satisfies all linear constraints within the absolute tolerance level.</span></div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="comment">// The solution does not need to satisfy the integer constraints.</span></div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aa8fbdc130ccf992a392b066fe625443e">SolutionIsLPFeasible</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; solution,</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> absolute_tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="comment">// Tests if the solution is integer within the given tolerance, i.e., all</span></div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// integer variables have integer values within the absolute tolerance level.</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// The solution does not need to satisfy the linear constraints.</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a887289f2d9928ca7a603fee5b77df258">SolutionIsInteger</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; solution,</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> absolute_tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> </div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="comment">// Tests if the solution is both LP-feasible and integer within the tolerance.</span></div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2c97213019318c99fd9d01658803d12f">SolutionIsMIPFeasible</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; solution,</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> absolute_tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="comment">// Fills the value of the slack from the other variable values.</span></div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="comment">// This requires that the slack have been added.</span></div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aa779a5d1f677630f42a48e1fdaadb1a8">ComputeSlackVariableValues</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>* solution) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> </div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="comment">// Functions to translate the sum(solution * objective_coefficients()) to</span></div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="comment">// the real objective of the problem and back. Note that these can also</span></div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="comment">// be used to translate bounds of the objective in the same way.</span></div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</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_linear_program.html#ac1e28fcd73435981deb42946a3e38046">ApplyObjectiveScalingAndOffset</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="l00293" name="l00293"></a><span class="lineno"> 293</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_linear_program.html#a5d1b2b60ac8335834e40084ea545cc0d">RemoveObjectiveScalingAndOffset</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="l00294" name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="comment">// A short string with the problem dimension.</span></div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#adcc58612f6a1dc35ff3ffdb34188f299">GetDimensionString</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="comment">// A short line with some stats on the problem coefficients.</span></div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a009204d0a4a7bb8252d86dd53733cacc">GetObjectiveStatsString</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a5270e516462b2a59aecc4f6854c789d1">GetBoundsStatsString</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> </div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// Returns a stringified LinearProgram. We use the LP file format used by</span></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="comment">// lp_solve (see http://lpsolve.sourceforge.net/5.1/index.htm).</span></div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ab4a8456683d4572bd9426efab8489e99">Dump</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="comment">// Returns a string that contains the provided solution of the LP in the</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <span class="comment">// format var1 = X, var2 = Y, var3 = Z, ...</span></div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a476f0627b588f945d6b14b9f08457ba9">DumpSolution</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; variable_values) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> </div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="comment">// Returns a comma-separated string of integers containing (in that order)</span></div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="comment">// num_constraints_, num_variables_in_file_, num_entries_,</span></div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="comment">// num_objective_non_zeros_, num_rhs_non_zeros_, num_less_than_constraints_,</span></div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="comment">// num_greater_than_constraints_, num_equal_constraints_,</span></div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="comment">// num_range_constraints_, num_non_negative_variables_, num_boxed_variables_,</span></div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="comment">// num_free_variables_, num_fixed_variables_, num_other_variables_</span></div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="comment">// Very useful for reporting in the way used in journal articles.</span></div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#acd7098e54f25e34f6626efd354cb7608">GetProblemStats</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> </div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="comment">// Returns a string containing the same information as with GetProblemStats(),</span></div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="comment">// but in a much more human-readable form, for example:</span></div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="comment">// Number of rows : 27</span></div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="comment">// Number of variables in file : 32</span></div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="comment">// Number of entries (non-zeros) : 83</span></div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="comment">// Number of entries in the objective : 5</span></div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="comment">// Number of entries in the right-hand side : 7</span></div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="comment">// Number of &lt;= constraints : 19</span></div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="comment">// Number of &gt;= constraints : 0</span></div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="comment">// Number of = constraints : 8</span></div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="comment">// Number of range constraints : 0</span></div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="comment">// Number of non-negative variables : 32</span></div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="comment">// Number of boxed variables : 0</span></div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="comment">// Number of free variables : 0</span></div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="comment">// Number of fixed variables : 0</span></div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="comment">// Number of other variables : 0</span></div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2c5fdde0efc79599fcb7949449028ecf">GetPrettyProblemStats</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <span class="comment">// Returns a comma-separated string of numbers containing (in that order)</span></div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="comment">// fill rate, max number of entries (length) in a row, average row length,</span></div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="comment">// standard deviation of row length, max column length, average column length,</span></div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="comment">// standard deviation of column length</span></div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="comment">// Useful for profiling algorithms.</span></div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="comment">//</span></div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="comment">// TODO(user): Theses are statistics about the underlying matrix and should be</span></div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="comment">// moved to SparseMatrix.</span></div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a3009656fbbef7a076bcaec0cca172572">GetNonZeroStats</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="comment">// Returns a string containing the same information as with GetNonZeroStats(),</span></div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="comment">// but in a much more human-readable form, for example:</span></div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="comment">// Fill rate : 9.61%</span></div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <span class="comment">// Entries in row (Max / average / std, dev.) : 9 / 3.07 / 1.94</span></div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="comment">// Entries in column (Max / average / std, dev.): 4 / 2.59 / 0.96</span></div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> std::string <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a7866c9704e24cad179e98c7188587cdf">GetPrettyNonZeroStats</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> </div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <span class="comment">// Adds slack variables to the problem for all rows which don&#39;t have slack</span></div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="comment">// variables. The new slack variables have bounds set to opposite of the</span></div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <span class="comment">// bounds of the corresponding constraint, and changes all constraints to</span></div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> <span class="comment">// equality constraints with both bounds set to 0.0. If a constraint uses only</span></div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="comment">// integer variables and all their coefficients are integer, it will mark the</span></div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> <span class="comment">// slack variable as integer too.</span></div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="comment">//</span></div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="comment">// It is an error to call CreateNewVariable() or CreateNewConstraint() on a</span></div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="comment">// linear program on which this method was called.</span></div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="comment">//</span></div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="comment">// Note that many of the slack variables may not be useful at all, but in</span></div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <span class="comment">// order not to recompute the matrix from one Solve() to the next, we always</span></div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="comment">// include all of them for a given lp matrix.</span></div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="comment">//</span></div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="comment">// TODO(user): investigate the impact on the running time. It seems low</span></div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> <span class="comment">// because we almost never iterate on fixed variables.</span></div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aa23a76f0f582369176688b458cda07dc">AddSlackVariablesWhereNecessary</a>(<span class="keywordtype">bool</span> detect_integer_constraints);</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> </div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <span class="comment">// Returns the index of the first slack variable in the linear program.</span></div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="comment">// Returns kInvalidCol if slack variables were not injected into the problem</span></div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="comment">// yet.</span></div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a339d5516d8c29986233765e910257b4d">GetFirstSlackVariable</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> </div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="comment">// Returns the index of the slack variable corresponding to the given</span></div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <span class="comment">// constraint. Returns kInvalidCol if slack variables were not injected into</span></div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="comment">// the problem yet.</span></div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a48de416333220c0bea7759c5aa53ee14">GetSlackVariable</a>(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="comment">// Populates the calling object with the dual of the LinearProgram passed as</span></div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="comment">// parameter.</span></div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="comment">// For the general form that we solve,</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="comment">// min c.x</span></div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="comment">// s.t. A_1 x = b_1</span></div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <span class="comment">// A_2 x &lt;= b_2</span></div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="comment">// A_3 x &gt;= b_3</span></div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="comment">// l &lt;= x &lt;= u</span></div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="comment">// With x: n-column of unknowns</span></div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <span class="comment">// l,u: n-columns of bound coefficients</span></div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="comment">// c: n-row of cost coefficients</span></div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="comment">// A_i: m_i×n-matrix of coefficients</span></div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="comment">// b_i: m_i-column of right-hand side coefficients</span></div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <span class="comment">//</span></div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="comment">// The dual is</span></div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="comment">//</span></div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> <span class="comment">// max b_1.y_1 + b_2.y_2 + b_3.y_3 + l.v + u.w</span></div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="comment">// s.t. y_1 A_1 + y_2 A_2 + y_3 A_3 + v + w = c</span></div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="comment">// y_1 free, y_2 &lt;= 0, y_3 &gt;= 0, v &gt;= 0, w &lt;= 0</span></div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="comment">// With:</span></div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="comment">// y_i: m_i-row of unknowns</span></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <span class="comment">// v,w: n-rows of unknowns</span></div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="comment">//</span></div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="comment">// If range constraints are present, each of the corresponding row is</span></div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="comment">// duplicated (with one becoming lower bounded and the other upper bounded).</span></div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="comment">// For such ranged row in the primal, duplicated_rows[row] is set to the</span></div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="comment">// column index in the dual of the corresponding column duplicate. For</span></div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="comment">// non-ranged row, duplicated_rows[row] is set to kInvalidCol.</span></div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="comment">//</span></div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> <span class="comment">// IMPORTANT: The linear_program argument must not have any free constraints.</span></div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="comment">//</span></div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> <span class="comment">// IMPORTANT: This function always interprets the argument in its minimization</span></div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="comment">// form. So the dual solution of the dual needs to be negated if we want to</span></div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="comment">// compute the solution of a maximization problem given as an argument.</span></div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <span class="comment">//</span></div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="comment">// TODO(user): Do not interpret as a minimization problem?</span></div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ad38b71923c7904791897a23722c157cb">PopulateFromDual</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>&amp; dual,</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowToColMapping</a>* duplicated_rows);</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> </div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> <span class="comment">// Populates the calling object with the given LinearProgram.</span></div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2b3db5dc0b5e97f2790bbe1d633abc61">PopulateFromLinearProgram</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>&amp; linear_program);</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="comment">// Populates the calling object with the given LinearProgram while permuting</span></div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="comment">// variables and constraints. This is useful mainly for testing to generate</span></div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="comment">// a model with the same optimal objective value.</span></div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a057224e0b8a244b6204e382bbb6337ee">PopulateFromPermutedLinearProgram</a>(</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>&amp; lp, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_permutation.html">RowPermutation</a>&amp; row_permutation,</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_permutation.html">ColumnPermutation</a>&amp; col_permutation);</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> </div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> <span class="comment">// Populates the calling object with the variables of the given LinearProgram.</span></div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> <span class="comment">// The function preserves the bounds, the integrality, the names of the</span></div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> <span class="comment">// variables and their objective coefficients. No constraints are copied (the</span></div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> <span class="comment">// matrix in the destination has 0 rows).</span></div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#adb6ee53de9bb4adf2734b59842cea0f5">PopulateFromLinearProgramVariables</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>&amp; linear_program);</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> </div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <span class="comment">// Adds constraints to the linear program. The constraints are specified using</span></div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> <span class="comment">// a sparse matrix of the coefficients, and vectors that represent the</span></div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> <span class="comment">// left-hand side and the right-hand side of the constraints, i.e.</span></div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="comment">// left_hand_sides &lt;= coefficients * variables &lt;= right_hand_sides.</span></div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="comment">// The sizes of the columns and the names must be the same as the number of</span></div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> <span class="comment">// rows of the sparse matrix; the number of columns of the matrix must be</span></div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> <span class="comment">// equal to the number of variables of the linear program.</span></div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a742dbe4804ed01bc7a27724f6b672466">AddConstraints</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>,</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; left_hand_sides,</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; right_hand_sides,</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector&lt;RowIndex, std::string&gt;</a>&amp; names);</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> </div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> <span class="comment">// Calls the AddConstraints method. After adding the constraints it adds slack</span></div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <span class="comment">// variables to the constraints.</span></div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ae8a25f4344e17329c596cd1c387f70b2">AddConstraintsWithSlackVariables</a>(</div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a>&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a>, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; left_hand_sides,</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>&amp; right_hand_sides,</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector&lt;RowIndex, std::string&gt;</a>&amp; names,</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <span class="keywordtype">bool</span> detect_integer_constraints_for_slack);</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> </div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <span class="comment">// Swaps the content of this LinearProgram with the one passed as argument.</span></div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="comment">// Works in O(1).</span></div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a7054c01679c4d1b7ce846b95937582d6">Swap</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>* linear_program);</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> </div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> <span class="comment">// Removes the given column indices from the LinearProgram.</span></div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> <span class="comment">// This needs to allocate O(num_variables) memory to update variable_table_.</span></div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ac59fd9cddfe284bf9dc7581ed631ce8d">DeleteColumns</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseBooleanRow</a>&amp; columns_to_delete);</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> </div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="comment">// Removes slack variables from the linear program. The method restores the</span></div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> <span class="comment">// bounds on constraints from the bounds of the slack variables, resets the</span></div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> <span class="comment">// index of the first slack variable, and removes the relevant columns from</span></div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> <span class="comment">// the matrix.</span></div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ad7ecca71dd3aaf60246e7638ac3df455">DeleteSlackVariables</a>();</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> </div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <span class="comment">// Scales the problem using the given scaler.</span></div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a2ba6d84c5ab7af533569ed5d7f2e2846"> 472</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2ba6d84c5ab7af533569ed5d7f2e2846">Scale</a>(<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="l00473" name="l00473"></a><span class="lineno"> 473</span> </div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> <span class="comment">// While Scale() makes sure the coefficients inside the linear program matrix</span></div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> <span class="comment">// are in [-1, 1], the objective coefficients, variable bounds and constraint</span></div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> <span class="comment">// bounds can still take large values (originally or due to the matrix</span></div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> <span class="comment">// scaling).</span></div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> <span class="comment">//</span></div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> <span class="comment">// It makes a lot of sense to also scale them given that internally we use</span></div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> <span class="comment">// absolute tolerances, and that it is nice to have the same behavior if users</span></div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> <span class="comment">// scale their problems. For instance one could change the unit of ALL the</span></div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> <span class="comment">// variables from Bytes to MBytes if they denote memory quantities. Or express</span></div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <span class="comment">// a cost in dollars instead of thousands of dollars.</span></div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> <span class="comment">//</span></div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="comment">// Here, we are quite prudent and just make sure that the range of the</span></div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="comment">// non-zeros magnitudes contains one. So for instance if all non-zeros costs</span></div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> <span class="comment">// are in [1e4, 1e6], we will divide them by 1e4 so that the new range is</span></div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="comment">// [1, 1e2].</span></div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="comment">//</span></div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> <span class="comment">// TODO(user): Another more aggressive idea is to set the median/mean/geomean</span></div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <span class="comment">// of the magnitudes to one. Investigate if this leads to better results. It</span></div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <span class="comment">// does look more robust.</span></div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> <span class="comment">//</span></div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> <span class="comment">// Both functions update objective_scaling_factor()/objective_offset() and</span></div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> <span class="comment">// return the scaling coefficient so that:</span></div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> <span class="comment">// - For ScaleObjective(), the old coefficients can be retrieved by</span></div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> <span class="comment">// multiplying the new ones by the returned factor.</span></div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> <span class="comment">// - For ScaleBounds(), the old variable and constraint bounds can be</span></div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> <span class="comment">// retrieved by multiplying the new ones by the returned factor.</span></div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</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_linear_program.html#a550ef893ead5d40ae3128739b8509611">ScaleObjective</a>(<a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#ab6f11e2c930c0d4c390a9578db0af240">GlopParameters::CostScalingAlgorithm</a> method);</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</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_linear_program.html#a354fba4c3eaf6cf38ee4f9e78a59f4c1">ScaleBounds</a>();</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> </div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> <span class="comment">// Removes the given row indices from the LinearProgram.</span></div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <span class="comment">// This needs to allocate O(num_variables) memory.</span></div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ac220cc5563c65b821d9d043010bb2121">DeleteRows</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseBooleanColumn</a>&amp; rows_to_delete);</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> </div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> <span class="comment">// Does basic checking on the linear program:</span></div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> <span class="comment">// - returns false if some coefficient are NaNs.</span></div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> <span class="comment">// - returns false if some coefficient other than the bounds are +/- infinity.</span></div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> <span class="comment">// Note that these conditions are also guarded by DCHECK on each of the</span></div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <span class="comment">// SetXXX() function above.</span></div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#ac532c4b500b1a85ea22217f2c65a70ed">IsValid</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> </div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> <span class="comment">// Updates the bounds of the variables to the intersection of their original</span></div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <span class="comment">// bounds and the bounds specified by variable_lower_bounds and</span></div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> <span class="comment">// variable_upper_bounds. If the new bounds of all variables are non-empty,</span></div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <span class="comment">// returns true; otherwise, returns false.</span></div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#acfe08a4275ac11e83e806835f04cc89e">UpdateVariableBoundsToIntersection</a>(</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#adb3b261831be8afb947baceaba1c220b">variable_lower_bounds</a>,</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a74f1c824468608a9bb5fee6f10eca698">variable_upper_bounds</a>);</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> </div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> <span class="comment">// Returns true if the linear program is in equation form Ax = 0 and all slack</span></div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> <span class="comment">// variables have been added. This is also called &quot;computational form&quot; in some</span></div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> <span class="comment">// of the literature.</span></div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2980fe48a1c9d1d0a792bc343314b9ba">IsInEquationForm</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> </div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> <span class="comment">// Returns true if all integer variables in the linear program have strictly</span></div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> <span class="comment">// integer bounds.</span></div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a38ca209d17d37eb31e29a4025ab0934f">BoundsOfIntegerVariablesAreInteger</a>(<a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> </div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="comment">// Returns true if all integer constraints in the linear program have strictly</span></div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> <span class="comment">// integer bounds.</span></div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a25349b5748c4f5f7eaa52d6986d14265">BoundsOfIntegerConstraintsAreInteger</a>(<a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> tolerance) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> </div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> <span class="comment">// Advanced usage. Bypass the costly call to CleanUp() when we known that the</span></div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <span class="comment">// change we made kept the matrix columns &quot;clean&quot; (see the comment of</span></div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> <span class="comment">// CleanUp()). This is unsafe but can save a big chunk of the running time</span></div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> <span class="comment">// when one does a small amount of incremental changes to the problem (like</span></div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> <span class="comment">// adding a new row with no duplicates or zero entries).</span></div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#aab451f1144133e621abdcd566c048a8d"> 540</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#aab451f1144133e621abdcd566c048a8d">NotifyThatColumnsAreClean</a>() {</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(matrix_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a">IsCleanedUp</a>());</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> columns_are_known_to_be_clean_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> }</div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> </div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> <span class="comment">// If true, checks bound validity in debug mode.</span></div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a6f10999cb9fd607a0b2c2e08ba6b2ef4"> 546</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a6f10999cb9fd607a0b2c2e08ba6b2ef4">SetDcheckBounds</a>(<span class="keywordtype">bool</span> dcheck_bounds) { dcheck_bounds_ = dcheck_bounds; }</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> </div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> <span class="comment">// In our presolve, the calls and the extra test inside SetConstraintBounds()</span></div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <span class="comment">// can be visible when a lot of substitutions are performed.</span></div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a768ac6725edb8f329213e18ec3986237"> 550</a></span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a768ac6725edb8f329213e18ec3986237">mutable_constraint_lower_bounds</a>() {</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> <span class="keywordflow">return</span> &amp;constraint_lower_bounds_;</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> }</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_linear_program.html#a188bf7e558066b6a3a0c7925913a7050"> 553</a></span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a>* <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a188bf7e558066b6a3a0c7925913a7050">mutable_constraint_upper_bounds</a>() {</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> <span class="keywordflow">return</span> &amp;constraint_upper_bounds_;</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> }</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> <span class="comment">// A helper function that updates the vectors integer_variables_list_,</span></div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> <span class="comment">// binary_variables_list_, and non_binary_variables_list_.</span></div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> <span class="keywordtype">void</span> UpdateAllIntegerVariableLists() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> </div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> <span class="comment">// A helper function to format problem statistics. Used by GetProblemStats()</span></div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> <span class="comment">// and GetPrettyProblemStats().</span></div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> std::string ProblemStatFormatter(<span class="keyword">const</span> absl::string_view format) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> </div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> <span class="comment">// A helper function to format non-zero statistics. Used by GetNonZeroStats()</span></div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> <span class="comment">// and GetPrettyNonZeroStats().</span></div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> std::string NonZeroStatFormatter(<span class="keyword">const</span> absl::string_view format) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> </div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> <span class="comment">// Resizes all row vectors to include index &#39;row&#39;.</span></div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> <span class="keywordtype">void</span> ResizeRowsIfNeeded(RowIndex <a class="code hl_variable" href="markowitz_8cc.html#aea35f36ba98d5bbd8d033382f50c9e52">row</a>);</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> </div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> <span class="comment">// Populates the definitions of variables, name and objective in the calling</span></div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> <span class="comment">// linear program with the data from the given linear program. The method does</span></div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> <span class="comment">// not touch the data structures for storing constraints.</span></div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> <span class="keywordtype">void</span> PopulateNameObjectiveAndVariablesFromLinearProgram(</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>&amp; linear_program);</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> </div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="comment">// Stores the linear program coefficients.</span></div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a> matrix_;</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> </div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="comment">// The transpose of matrix_. This will be lazily recomputed by</span></div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> <span class="comment">// GetTransposeSparseMatrix() if transpose_matrix_is_consistent_ is false.</span></div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="keyword">mutable</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_sparse_matrix.html">SparseMatrix</a> transpose_matrix_;</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> </div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> <span class="comment">// Constraint related quantities.</span></div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> constraint_lower_bounds_;</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> constraint_upper_bounds_;</div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector&lt;RowIndex, std::string&gt;</a> constraint_names_;</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> </div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> <span class="comment">// Variable related quantities.</span></div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> objective_coefficients_;</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> variable_lower_bounds_;</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> variable_upper_bounds_;</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector&lt;ColIndex, std::string&gt;</a> variable_names_;</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">StrictITIVector&lt;ColIndex, VariableType&gt;</a> variable_types_;</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> </div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> <span class="comment">// The vector of the indices of variables constrained to be integer.</span></div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> <span class="comment">// Note(user): the set of indices in integer_variables_list_ is the union</span></div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> <span class="comment">// of the set of indices in binary_variables_list_ and of the set of indices</span></div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="comment">// in non_binary_variables_list_ below.</span></div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> <span class="keyword">mutable</span> std::vector&lt;ColIndex&gt; integer_variables_list_;</div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> </div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="comment">// The vector of the indices of variables constrained to be binary.</span></div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="keyword">mutable</span> std::vector&lt;ColIndex&gt; binary_variables_list_;</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> </div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> <span class="comment">// The vector of the indices of variables constrained to be integer, but not</span></div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> <span class="comment">// binary.</span></div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> <span class="keyword">mutable</span> std::vector&lt;ColIndex&gt; non_binary_variables_list_;</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> </div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> <span class="comment">// Map used to find the index of a variable based on its id.</span></div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> absl::flat_hash_map&lt;std::string, ColIndex&gt; variable_table_;</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> </div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> <span class="comment">// Map used to find the index of a constraint based on its id.</span></div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> absl::flat_hash_map&lt;std::string, RowIndex&gt; constraint_table_;</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> </div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> <span class="comment">// Offset of the objective, i.e. value of the objective when all variables</span></div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> <span class="comment">// are set to zero.</span></div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> objective_offset_;</div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> objective_scaling_factor_;</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> </div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> <span class="comment">// Boolean true (resp. false) when the problem is a maximization</span></div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="comment">// (resp. minimization) problem.</span></div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span> <span class="keywordtype">bool</span> maximize_;</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> </div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <span class="comment">// Boolean to speed-up multiple calls to IsCleanedUp() or</span></div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> <span class="comment">// CleanUp(). Mutable so IsCleanedUp() can be const.</span></div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> <span class="keyword">mutable</span> <span class="keywordtype">bool</span> columns_are_known_to_be_clean_;</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> </div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> <span class="comment">// Whether transpose_matrix_ is guaranteed to be the transpose of matrix_.</span></div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> <span class="keyword">mutable</span> <span class="keywordtype">bool</span> transpose_matrix_is_consistent_;</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> </div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> <span class="comment">// Whether integer_variables_list_ is consistent with the current</span></div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> <span class="comment">// LinearProgram.</span></div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> <span class="keyword">mutable</span> <span class="keywordtype">bool</span> integer_variables_list_is_consistent_;</div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> </div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> <span class="comment">// The name of the LinearProgram.</span></div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> std::string name_;</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> </div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> <span class="comment">// The index of the first slack variable added to the linear program by</span></div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> <span class="comment">// LinearProgram::AddSlackVariablesForAllRows().</span></div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> ColIndex first_slack_variable_;</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> </div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="comment">// If true, checks bounds in debug mode.</span></div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <span class="keywordtype">bool</span> dcheck_bounds_ = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> </div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> <span class="keyword">friend</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_linear_program.html#a2ba6d84c5ab7af533569ed5d7f2e2846">Scale</a>(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>* lp, <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="l00648" name="l00648"></a><span class="lineno"> 648</span> <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a8d4212c24c21b25a11a4c119273df998">GlopParameters::ScalingAlgorithm</a> scaling_method);</div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> </div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_linear_program.html">LinearProgram</a>);</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span>};</div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> </div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span><span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span><span class="comment">// ProblemSolution</span></div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span><span class="comment">// --------------------------------------------------------</span></div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span><span class="comment">// Contains the solution of a LinearProgram as returned by a preprocessor.</span></div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html"> 657</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1glop_1_1_problem_solution.html">ProblemSolution</a> {</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html#a0510352d22b652c9cda1e9dc34cd1fce"> 658</a></span> <a class="code hl_function" href="structoperations__research_1_1glop_1_1_problem_solution.html#a0510352d22b652c9cda1e9dc34cd1fce">ProblemSolution</a>(RowIndex num_rows, ColIndex num_cols)</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> : <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#a15eb0790f4f62ad63676f55e4ba7d2bb">status</a>(<a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493">ProblemStatus</a>::OPTIMAL),</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#af8a495c9872268c3e34d413d8b63ef66">primal_values</a>(num_cols, 0.0),</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#ac6b277da46124f6b08841906b0febbed">dual_values</a>(num_rows, 0.0),</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#a887a20330f1f58adbe564ef0fcf74e8c">variable_statuses</a>(num_cols, <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358">VariableStatus</a>::<a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358a88c189a42c87aa49d667fc8ab76bc323">FREE</a>),</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#ae7a0a13dedf8ae7920036bfff1ad9c3b">constraint_statuses</a>(num_rows, <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bc">ConstraintStatus</a>::<a class="code hl_enumvalue" href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358a88c189a42c87aa49d667fc8ab76bc323">FREE</a>) {}</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> <span class="comment">// The solution status.</span></div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html#a15eb0790f4f62ad63676f55e4ba7d2bb"> 665</a></span> <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493">ProblemStatus</a> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#a15eb0790f4f62ad63676f55e4ba7d2bb">status</a>;</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> </div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> <span class="comment">// The actual primal/dual solution values. This is what most clients will</span></div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> <span class="comment">// need, and this is enough for LPSolver to easily check the optimality.</span></div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html#af8a495c9872268c3e34d413d8b63ef66"> 669</a></span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#af8a495c9872268c3e34d413d8b63ef66">primal_values</a>;</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html#ac6b277da46124f6b08841906b0febbed"> 670</a></span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseColumn</a> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#ac6b277da46124f6b08841906b0febbed">dual_values</a>;</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> </div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> <span class="comment">// The status of the variables and constraints which is difficult to</span></div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <span class="comment">// reconstruct from the solution values alone. Some remarks:</span></div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> <span class="comment">// - From this information alone, by factorizing the basis, it is easy to</span></div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> <span class="comment">// reconstruct the primal and dual values.</span></div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> <span class="comment">// - The main difficulty to construct this from the solution values is to</span></div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> <span class="comment">// reconstruct the optimal basis if some basic variables are exactly at</span></div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> <span class="comment">// one of their bounds (and their reduced costs are close to zero).</span></div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> <span class="comment">// - The non-basic information (VariableStatus::FIXED_VALUE,</span></div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> <span class="comment">// VariableStatus::AT_LOWER_BOUND, VariableStatus::AT_UPPER_BOUND,</span></div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> <span class="comment">// VariableStatus::FREE) is easy to construct for variables (because</span></div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> <span class="comment">// they are at their exact bounds). They can be guessed for constraints</span></div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span> <span class="comment">// (here a small precision error is unavoidable). However, it is useful to</span></div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> <span class="comment">// carry this exact information during post-solve.</span></div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html#a887a20330f1f58adbe564ef0fcf74e8c"> 685</a></span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">VariableStatusRow</a> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#a887a20330f1f58adbe564ef0fcf74e8c">variable_statuses</a>;</div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_problem_solution.html#ae7a0a13dedf8ae7920036bfff1ad9c3b"> 686</a></span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">ConstraintStatusColumn</a> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_problem_solution.html#ae7a0a13dedf8ae7920036bfff1ad9c3b">constraint_statuses</a>;</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> </div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> std::string <a class="code hl_function" href="structoperations__research_1_1glop_1_1_problem_solution.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span>};</div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> </div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span><span class="comment">// Helper function to check the bounds of the SetVariableBounds() and</span></div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span><span class="comment">// SetConstraintBounds() functions.</span></div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#a2122f0c519a9e417e92c63273565d6b5"> 693</a></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a2122f0c519a9e417e92c63273565d6b5">AreBoundsValid</a>(<a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) {</div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> <span class="keywordflow">if</span> (std::isnan(<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> <span class="keywordflow">if</span> (std::isnan(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> == <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a> &amp;&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> == <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> == -<a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a> &amp;&amp; <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a> == -<a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a> &gt; <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span>}</div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> </div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span>} <span class="comment">// namespace glop</span></div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span> </div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_LP_DATA_LP_DATA_H_</span></div>
<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00889">base/logging.h:889</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_linear_program_html_a007496c4e4962b2fa4d2e996fd7b4cf6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a007496c4e4962b2fa4d2e996fd7b4cf6">operations_research::glop::LinearProgram::GetMutableTransposeSparseMatrix</a></div><div class="ttdeci">SparseMatrix * GetMutableTransposeSparseMatrix()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00386">lp_data.cc:386</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a009204d0a4a7bb8252d86dd53733cacc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a009204d0a4a7bb8252d86dd53733cacc">operations_research::glop::LinearProgram::GetObjectiveStatsString</a></div><div class="ttdeci">std::string GetObjectiveStatsString() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00452">lp_data.cc:452</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a01a5a464aad9b500e5f07b0457520762"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a01a5a464aad9b500e5f07b0457520762">operations_research::glop::LinearProgram::SetObjectiveScalingFactor</a></div><div class="ttdeci">void SetObjectiveScalingFactor(Fractional objective_scaling_factor)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00336">lp_data.cc:336</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a057224e0b8a244b6204e382bbb6337ee"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a057224e0b8a244b6204e382bbb6337ee">operations_research::glop::LinearProgram::PopulateFromPermutedLinearProgram</a></div><div class="ttdeci">void PopulateFromPermutedLinearProgram(const LinearProgram &amp;lp, const RowPermutation &amp;row_permutation, const ColumnPermutation &amp;col_permutation)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00883">lp_data.cc:883</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a0fe7ba825c8c6cd1efdcff6dec631093"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a0fe7ba825c8c6cd1efdcff6dec631093">operations_research::glop::LinearProgram::SetVariableBounds</a></div><div class="ttdeci">void SetVariableBounds(ColIndex col, Fractional lower_bound, Fractional upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00249">lp_data.cc:249</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a188bf7e558066b6a3a0c7925913a7050"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a188bf7e558066b6a3a0c7925913a7050">operations_research::glop::LinearProgram::mutable_constraint_upper_bounds</a></div><div class="ttdeci">DenseColumn * mutable_constraint_upper_bounds()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00553">lp_data.h:553</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a18b017687d9940cc46c92e3937a18882"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a18b017687d9940cc46c92e3937a18882">operations_research::glop::LinearProgram::GetVariableName</a></div><div class="ttdeci">std::string GetVariableName(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00360">lp_data.cc:360</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a1c4c019028d8b012b9d10e0a17bfaf4e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a1c4c019028d8b012b9d10e0a17bfaf4e">operations_research::glop::LinearProgram::SetConstraintName</a></div><div class="ttdeci">void SetConstraintName(RowIndex row, absl::string_view name)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00245">lp_data.cc:245</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2175025047722705a3af86e54229f9cd"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2175025047722705a3af86e54229f9cd">operations_research::glop::LinearProgram::GetTransposeSparseMatrix</a></div><div class="ttdeci">const SparseMatrix &amp; GetTransposeSparseMatrix() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00376">lp_data.cc:376</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a23e637a2ad0316932c194e38f8e5f5f6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a23e637a2ad0316932c194e38f8e5f5f6">operations_research::glop::LinearProgram::SolutionIsWithinVariableBounds</a></div><div class="ttdeci">bool SolutionIsWithinVariableBounds(const DenseRow &amp;solution, Fractional absolute_tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00481">lp_data.cc:481</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a24dcbf29c0d6cd766009a182a6484e3b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a24dcbf29c0d6cd766009a182a6484e3b">operations_research::glop::LinearProgram::name</a></div><div class="ttdeci">const std::string &amp; name() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00075">lp_data.h:75</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a25349b5748c4f5f7eaa52d6986d14265"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a25349b5748c4f5f7eaa52d6986d14265">operations_research::glop::LinearProgram::BoundsOfIntegerConstraintsAreInteger</a></div><div class="ttdeci">bool BoundsOfIntegerConstraintsAreInteger(Fractional tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01500">lp_data.cc:1500</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2980fe48a1c9d1d0a792bc343314b9ba"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2980fe48a1c9d1d0a792bc343314b9ba">operations_research::glop::LinearProgram::IsInEquationForm</a></div><div class="ttdeci">bool IsInEquationForm() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01471">lp_data.cc:1471</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2a29cc40908e09b0c565ceea15b77d89"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2a29cc40908e09b0c565ceea15b77d89">operations_research::glop::LinearProgram::SetObjectiveOffset</a></div><div class="ttdeci">void SetObjectiveOffset(Fractional objective_offset)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00331">lp_data.cc:331</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2b3db5dc0b5e97f2790bbe1d633abc61"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2b3db5dc0b5e97f2790bbe1d633abc61">operations_research::glop::LinearProgram::PopulateFromLinearProgram</a></div><div class="ttdeci">void PopulateFromLinearProgram(const LinearProgram &amp;linear_program)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00862">lp_data.cc:862</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2ba6d84c5ab7af533569ed5d7f2e2846"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2ba6d84c5ab7af533569ed5d7f2e2846">operations_research::glop::LinearProgram::Scale</a></div><div class="ttdeci">void Scale(SparseMatrixScaler *scaler)</div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2c5fdde0efc79599fcb7949449028ecf"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2c5fdde0efc79599fcb7949449028ecf">operations_research::glop::LinearProgram::GetPrettyProblemStats</a></div><div class="ttdeci">std::string GetPrettyProblemStats() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00664">lp_data.cc:664</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2c97213019318c99fd9d01658803d12f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2c97213019318c99fd9d01658803d12f">operations_research::glop::LinearProgram::SolutionIsMIPFeasible</a></div><div class="ttdeci">bool SolutionIsMIPFeasible(const DenseRow &amp;solution, Fractional absolute_tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00529">lp_data.cc:529</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a2d695f450ae446d5d9c225b991f8d88e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a2d695f450ae446d5d9c225b991f8d88e">operations_research::glop::LinearProgram::SetCoefficient</a></div><div class="ttdeci">void SetCoefficient(RowIndex row, ColIndex col, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00317">lp_data.cc:317</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a3009656fbbef7a076bcaec0cca172572"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a3009656fbbef7a076bcaec0cca172572">operations_research::glop::LinearProgram::GetNonZeroStats</a></div><div class="ttdeci">std::string GetNonZeroStats() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00686">lp_data.cc:686</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a339d5516d8c29986233765e910257b4d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a339d5516d8c29986233765e910257b4d">operations_research::glop::LinearProgram::GetFirstSlackVariable</a></div><div class="ttdeci">ColIndex GetFirstSlackVariable() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00751">lp_data.cc:751</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a354fba4c3eaf6cf38ee4f9e78a59f4c1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a354fba4c3eaf6cf38ee4f9e78a59f4c1">operations_research::glop::LinearProgram::ScaleBounds</a></div><div class="ttdeci">Fractional ScaleBounds()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01223">lp_data.cc:1223</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a38ca209d17d37eb31e29a4025ab0934f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a38ca209d17d37eb31e29a4025ab0934f">operations_research::glop::LinearProgram::BoundsOfIntegerVariablesAreInteger</a></div><div class="ttdeci">bool BoundsOfIntegerVariablesAreInteger(Fractional tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01484">lp_data.cc:1484</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a40b46f23f42f169a527de50e016c2096"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a40b46f23f42f169a527de50e016c2096">operations_research::glop::LinearProgram::ClearTransposeMatrix</a></div><div class="ttdeci">void ClearTransposeMatrix()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00404">lp_data.cc:404</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a45e12b3d1e2daa3e00bab9d7bf72f444"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a45e12b3d1e2daa3e00bab9d7bf72f444">operations_research::glop::LinearProgram::SetVariableName</a></div><div class="ttdeci">void SetVariableName(ColIndex col, absl::string_view name)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00232">lp_data.cc:232</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a476f0627b588f945d6b14b9f08457ba9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a476f0627b588f945d6b14b9f08457ba9">operations_research::glop::LinearProgram::DumpSolution</a></div><div class="ttdeci">std::string DumpSolution(const DenseRow &amp;variable_values) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00647">lp_data.cc:647</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a48de416333220c0bea7759c5aa53ee14"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a48de416333220c0bea7759c5aa53ee14">operations_research::glop::LinearProgram::GetSlackVariable</a></div><div class="ttdeci">ColIndex GetSlackVariable(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00755">lp_data.cc:755</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a4e1fb82cbbf024213eae338216bf601e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a4e1fb82cbbf024213eae338216bf601e">operations_research::glop::LinearProgram::FindOrCreateVariable</a></div><div class="ttdeci">ColIndex FindOrCreateVariable(const std::string &amp;variable_id)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00205">lp_data.cc:205</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a5270e516462b2a59aecc4f6854c789d1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a5270e516462b2a59aecc4f6854c789d1">operations_research::glop::LinearProgram::GetBoundsStatsString</a></div><div class="ttdeci">std::string GetBoundsStatsString() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00465">lp_data.cc:465</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a550ef893ead5d40ae3128739b8509611"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a550ef893ead5d40ae3128739b8509611">operations_research::glop::LinearProgram::ScaleObjective</a></div><div class="ttdeci">Fractional ScaleObjective(GlopParameters::CostScalingAlgorithm method)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01188">lp_data.cc:1188</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a5b58cfd45475bfab5ce1fe5c81b6da60"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a5b58cfd45475bfab5ce1fe5c81b6da60">operations_research::glop::LinearProgram::BinaryVariablesList</a></div><div class="ttdeci">const std::vector&lt; ColIndex &gt; &amp; BinaryVariablesList() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00285">lp_data.cc:285</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a5bb553b6a1b88f16c42b70697ac65473"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a5bb553b6a1b88f16c42b70697ac65473">operations_research::glop::LinearProgram::constraint_lower_bounds</a></div><div class="ttdeci">const DenseColumn &amp; constraint_lower_bounds() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00215">lp_data.h:215</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a5d1b2b60ac8335834e40084ea545cc0d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a5d1b2b60ac8335834e40084ea545cc0d">operations_research::glop::LinearProgram::RemoveObjectiveScalingAndOffset</a></div><div class="ttdeci">Fractional RemoveObjectiveScalingAndOffset(Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00555">lp_data.cc:555</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a5e016d204d43b2cc4a2773c25462968a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a5e016d204d43b2cc4a2773c25462968a">operations_research::glop::LinearProgram::IsCleanedUp</a></div><div class="ttdeci">bool IsCleanedUp() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00354">lp_data.cc:354</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a609bcb18cec39c7c43dd7a6d3a51ba81"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a609bcb18cec39c7c43dd7a6d3a51ba81">operations_research::glop::LinearProgram::IntegerVariablesList</a></div><div class="ttdeci">const std::vector&lt; ColIndex &gt; &amp; IntegerVariablesList() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00280">lp_data.cc:280</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a6137c2df856cf2634f9bb259d2aace2b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a6137c2df856cf2634f9bb259d2aace2b">operations_research::glop::LinearProgram::GetObjectiveCoefficientForMinimizationVersion</a></div><div class="ttdeci">Fractional GetObjectiveCoefficientForMinimizationVersion(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00419">lp_data.cc:419</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a62b98dec38b6506442f9fc63f1a9b88f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a62b98dec38b6506442f9fc63f1a9b88f">operations_research::glop::LinearProgram::SetConstraintBounds</a></div><div class="ttdeci">void SetConstraintBounds(RowIndex row, Fractional lower_bound, Fractional upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00309">lp_data.cc:309</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a695ac3d8db5a986f572711f2ef3a6a39"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a695ac3d8db5a986f572711f2ef3a6a39">operations_research::glop::LinearProgram::CreateNewVariable</a></div><div class="ttdeci">ColIndex CreateNewVariable()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00162">lp_data.cc:162</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a69d82a65001991de390a5acc122573f3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a69d82a65001991de390a5acc122573f3">operations_research::glop::LinearProgram::CreateNewSlackVariable</a></div><div class="ttdeci">ColIndex CreateNewSlackVariable(bool is_integer_slack_variable, Fractional lower_bound, Fractional upper_bound, const std::string &amp;name)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00176">lp_data.cc:176</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a6b0e95d320fd02517fdd0adaadca3d71"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a6b0e95d320fd02517fdd0adaadca3d71">operations_research::glop::LinearProgram::GetVariableType</a></div><div class="ttdeci">VariableType GetVariableType(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00372">lp_data.cc:372</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a6b50792950c42b62e8bf4ed596aebb27"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a6b50792950c42b62e8bf4ed596aebb27">operations_research::glop::LinearProgram::FindOrCreateConstraint</a></div><div class="ttdeci">RowIndex FindOrCreateConstraint(const std::string &amp;constraint_id)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00218">lp_data.cc:218</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a6f10999cb9fd607a0b2c2e08ba6b2ef4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a6f10999cb9fd607a0b2c2e08ba6b2ef4">operations_research::glop::LinearProgram::SetDcheckBounds</a></div><div class="ttdeci">void SetDcheckBounds(bool dcheck_bounds)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00546">lp_data.h:546</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a7054c01679c4d1b7ce846b95937582d6"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a7054c01679c4d1b7ce846b95937582d6">operations_research::glop::LinearProgram::Swap</a></div><div class="ttdeci">void Swap(LinearProgram *linear_program)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01031">lp_data.cc:1031</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a742dbe4804ed01bc7a27724f6b672466"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a742dbe4804ed01bc7a27724f6b672466">operations_research::glop::LinearProgram::AddConstraints</a></div><div class="ttdeci">void AddConstraints(const SparseMatrix &amp;coefficients, const DenseColumn &amp;left_hand_sides, const DenseColumn &amp;right_hand_sides, const StrictITIVector&lt; RowIndex, std::string &gt; &amp;names)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00972">lp_data.cc:972</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a74f1c824468608a9bb5fee6f10eca698"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a74f1c824468608a9bb5fee6f10eca698">operations_research::glop::LinearProgram::variable_upper_bounds</a></div><div class="ttdeci">const DenseRow &amp; variable_upper_bounds() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00232">lp_data.h:232</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a768ac6725edb8f329213e18ec3986237"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a768ac6725edb8f329213e18ec3986237">operations_research::glop::LinearProgram::mutable_constraint_lower_bounds</a></div><div class="ttdeci">DenseColumn * mutable_constraint_lower_bounds()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00550">lp_data.h:550</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a7866c9704e24cad179e98c7188587cdf"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a7866c9704e24cad179e98c7188587cdf">operations_research::glop::LinearProgram::GetPrettyNonZeroStats</a></div><div class="ttdeci">std::string GetPrettyNonZeroStats() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00690">lp_data.cc:690</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a7ddcdc56f25d075e18d62ddbcd3389b2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a7ddcdc56f25d075e18d62ddbcd3389b2">operations_research::glop::LinearProgram::SetVariableType</a></div><div class="ttdeci">void SetVariableType(ColIndex col, VariableType type)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00236">lp_data.cc:236</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a81334c7ceae9d68a38fe4d4bf0b7794c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a81334c7ceae9d68a38fe4d4bf0b7794c">operations_research::glop::LinearProgram::objective_offset</a></div><div class="ttdeci">Fractional objective_offset() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00260">lp_data.h:260</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a814307860c1248b645ea68a8a11a0082"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a814307860c1248b645ea68a8a11a0082">operations_research::glop::LinearProgram::NonBinaryVariablesList</a></div><div class="ttdeci">const std::vector&lt; ColIndex &gt; &amp; NonBinaryVariablesList() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00290">lp_data.cc:290</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a887289f2d9928ca7a603fee5b77df258"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a887289f2d9928ca7a603fee5b77df258">operations_research::glop::LinearProgram::SolutionIsInteger</a></div><div class="ttdeci">bool SolutionIsInteger(const DenseRow &amp;solution, Fractional absolute_tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00517">lp_data.cc:517</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a88cc1c4519b043336ce23cdcec5fb0c2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a88cc1c4519b043336ce23cdcec5fb0c2">operations_research::glop::LinearProgram::GetMutableSparseColumn</a></div><div class="ttdeci">SparseColumn * GetMutableSparseColumn(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00413">lp_data.cc:413</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a8d7d21abe90edddc22416e5db1db563f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a8d7d21abe90edddc22416e5db1db563f">operations_research::glop::LinearProgram::GetConstraintName</a></div><div class="ttdeci">std::string GetConstraintName(RowIndex row) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00366">lp_data.cc:366</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a9245b35ee316a27a561d5b041e588be5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a9245b35ee316a27a561d5b041e588be5">operations_research::glop::LinearProgram::constraint_upper_bounds</a></div><div class="ttdeci">const DenseColumn &amp; constraint_upper_bounds() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00218">lp_data.h:218</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a940d484bb6523277e1d2c742f4f534a4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a940d484bb6523277e1d2c742f4f534a4">operations_research::glop::LinearProgram::SetName</a></div><div class="ttdeci">void SetName(const std::string &amp;name)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00074">lp_data.h:74</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a977f52b2e6fa6e9d6db8d8ac9cbf33c4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a977f52b2e6fa6e9d6db8d8ac9cbf33c4">operations_research::glop::LinearProgram::objective_coefficients</a></div><div class="ttdeci">const DenseRow &amp; objective_coefficients() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00223">lp_data.h:223</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_a9ac8fe8120fdded43c5fa888bd696d3e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#a9ac8fe8120fdded43c5fa888bd696d3e">operations_research::glop::LinearProgram::UseTransposeMatrixAsReference</a></div><div class="ttdeci">void UseTransposeMatrixAsReference()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00397">lp_data.cc:397</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aa23a76f0f582369176688b458cda07dc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aa23a76f0f582369176688b458cda07dc">operations_research::glop::LinearProgram::AddSlackVariablesWhereNecessary</a></div><div class="ttdeci">void AddSlackVariablesWhereNecessary(bool detect_integer_constraints)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00697">lp_data.cc:697</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::glop::LinearProgram::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00134">lp_data.cc:134</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aa779a5d1f677630f42a48e1fdaadb1a8"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aa779a5d1f677630f42a48e1fdaadb1a8">operations_research::glop::LinearProgram::ComputeSlackVariableValues</a></div><div class="ttdeci">void ComputeSlackVariableValues(DenseRow *solution) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00535">lp_data.cc:535</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aa8fbdc130ccf992a392b066fe625443e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aa8fbdc130ccf992a392b066fe625443e">operations_research::glop::LinearProgram::SolutionIsLPFeasible</a></div><div class="ttdeci">bool SolutionIsLPFeasible(const DenseRow &amp;solution, Fractional absolute_tolerance) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00497">lp_data.cc:497</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aab451f1144133e621abdcd566c048a8d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aab451f1144133e621abdcd566c048a8d">operations_research::glop::LinearProgram::NotifyThatColumnsAreClean</a></div><div class="ttdeci">void NotifyThatColumnsAreClean()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00540">lp_data.h:540</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ab4a8456683d4572bd9426efab8489e99"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ab4a8456683d4572bd9426efab8489e99">operations_research::glop::LinearProgram::Dump</a></div><div class="ttdeci">std::string Dump() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00560">lp_data.cc:560</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ab4f3103f39bdbb86151baed2347f7b0a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ab4f3103f39bdbb86151baed2347f7b0a">operations_research::glop::LinearProgram::IsVariableInteger</a></div><div class="ttdeci">bool IsVariableInteger(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00295">lp_data.cc:295</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ab5af7f232cddcd91f70be84c0d398ba9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ab5af7f232cddcd91f70be84c0d398ba9">operations_research::glop::LinearProgram::SetObjectiveCoefficient</a></div><div class="ttdeci">void SetObjectiveCoefficient(ColIndex col, Fractional value)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00326">lp_data.cc:326</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ab8efe00bb016665606d522a42543cd96"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ab8efe00bb016665606d522a42543cd96">operations_research::glop::LinearProgram::IsVariableBinary</a></div><div class="ttdeci">bool IsVariableBinary(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00300">lp_data.cc:300</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_abcea67382d5e095491b022a7aa4291a7"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#abcea67382d5e095491b022a7aa4291a7">operations_research::glop::LinearProgram::LinearProgram</a></div><div class="ttdeci">LinearProgram()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00111">lp_data.cc:111</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_abfbf1991a6e9ade46b93bb8136a47656"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#abfbf1991a6e9ade46b93bb8136a47656">operations_research::glop::LinearProgram::variable_types</a></div><div class="ttdeci">const StrictITIVector&lt; ColIndex, VariableType &gt; variable_types() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00237">lp_data.h:237</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_abfc30f91ab75c6f4552003f777672e74"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#abfc30f91ab75c6f4552003f777672e74">operations_research::glop::LinearProgram::CleanUp</a></div><div class="ttdeci">void CleanUp()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00347">lp_data.cc:347</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ac1e28fcd73435981deb42946a3e38046"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ac1e28fcd73435981deb42946a3e38046">operations_research::glop::LinearProgram::ApplyObjectiveScalingAndOffset</a></div><div class="ttdeci">Fractional ApplyObjectiveScalingAndOffset(Fractional value) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00550">lp_data.cc:550</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ac220cc5563c65b821d9d043010bb2121"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ac220cc5563c65b821d9d043010bb2121">operations_research::glop::LinearProgram::DeleteRows</a></div><div class="ttdeci">void DeleteRows(const DenseBooleanColumn &amp;rows_to_delete)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01258">lp_data.cc:1258</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ac532c4b500b1a85ea22217f2c65a70ed"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ac532c4b500b1a85ea22217f2c65a70ed">operations_research::glop::LinearProgram::IsValid</a></div><div class="ttdeci">bool IsValid() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01305">lp_data.cc:1305</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ac59fd9cddfe284bf9dc7581ed631ce8d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ac59fd9cddfe284bf9dc7581ed631ce8d">operations_research::glop::LinearProgram::DeleteColumns</a></div><div class="ttdeci">void DeleteColumns(const DenseBooleanRow &amp;columns_to_delete)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01065">lp_data.cc:1065</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ac62972ff1b21a037e56530cde67309ab"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ac62972ff1b21a037e56530cde67309ab">operations_research::glop::LinearProgram::VariableType</a></div><div class="ttdeci">VariableType</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00057">lp_data.h:57</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_accdd045ec09206640c2338524da77d23"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#accdd045ec09206640c2338524da77d23">operations_research::glop::LinearProgram::IsMaximizationProblem</a></div><div class="ttdeci">bool IsMaximizationProblem() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00171">lp_data.h:171</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_acd7098e54f25e34f6626efd354cb7608"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#acd7098e54f25e34f6626efd354cb7608">operations_research::glop::LinearProgram::GetProblemStats</a></div><div class="ttdeci">std::string GetProblemStats() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00658">lp_data.cc:658</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_acd8437353d8dc686a75c98b5897dd871"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#acd8437353d8dc686a75c98b5897dd871">operations_research::glop::LinearProgram::num_variables</a></div><div class="ttdeci">ColIndex num_variables() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00205">lp_data.h:205</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_acfe08a4275ac11e83e806835f04cc89e"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#acfe08a4275ac11e83e806835f04cc89e">operations_research::glop::LinearProgram::UpdateVariableBoundsToIntersection</a></div><div class="ttdeci">bool UpdateVariableBoundsToIntersection(const DenseRow &amp;variable_lower_bounds, const DenseRow &amp;variable_upper_bounds)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01006">lp_data.cc:1006</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ad38b71923c7904791897a23722c157cb"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ad38b71923c7904791897a23722c157cb">operations_research::glop::LinearProgram::PopulateFromDual</a></div><div class="ttdeci">void PopulateFromDual(const LinearProgram &amp;dual, RowToColMapping *duplicated_rows)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00764">lp_data.cc:764</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ad7ecca71dd3aaf60246e7638ac3df455"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ad7ecca71dd3aaf60246e7638ac3df455">operations_research::glop::LinearProgram::DeleteSlackVariables</a></div><div class="ttdeci">void DeleteSlackVariables()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01114">lp_data.cc:1114</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ad97d7cdf5aa8b8704f95084d54a2beb1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ad97d7cdf5aa8b8704f95084d54a2beb1">operations_research::glop::LinearProgram::GetSparseMatrix</a></div><div class="ttdeci">const SparseMatrix &amp; GetSparseMatrix() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00175">lp_data.h:175</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ad9d564651057c77b3f2ca1293134557f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ad9d564651057c77b3f2ca1293134557f">operations_research::glop::LinearProgram::CreateNewConstraint</a></div><div class="ttdeci">RowIndex CreateNewConstraint()</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00191">lp_data.cc:191</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_adb3b261831be8afb947baceaba1c220b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#adb3b261831be8afb947baceaba1c220b">operations_research::glop::LinearProgram::variable_lower_bounds</a></div><div class="ttdeci">const DenseRow &amp; variable_lower_bounds() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00229">lp_data.h:229</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_adb6ee53de9bb4adf2734b59842cea0f5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#adb6ee53de9bb4adf2734b59842cea0f5">operations_research::glop::LinearProgram::PopulateFromLinearProgramVariables</a></div><div class="ttdeci">void PopulateFromLinearProgramVariables(const LinearProgram &amp;linear_program)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00935">lp_data.cc:935</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_adcc58612f6a1dc35ff3ffdb34188f299"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#adcc58612f6a1dc35ff3ffdb34188f299">operations_research::glop::LinearProgram::GetDimensionString</a></div><div class="ttdeci">std::string GetDimensionString() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00425">lp_data.cc:425</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_adf55bb4fcaab95674f072cb528d426a0"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#adf55bb4fcaab95674f072cb528d426a0">operations_research::glop::LinearProgram::objective_scaling_factor</a></div><div class="ttdeci">Fractional objective_scaling_factor() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00261">lp_data.h:261</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ae3201a343d8df987411b55830bff7fa3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ae3201a343d8df987411b55830bff7fa3">operations_research::glop::LinearProgram::SetMaximizationProblem</a></div><div class="ttdeci">void SetMaximizationProblem(bool maximize)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00343">lp_data.cc:343</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_ae8a25f4344e17329c596cd1c387f70b2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#ae8a25f4344e17329c596cd1c387f70b2">operations_research::glop::LinearProgram::AddConstraintsWithSlackVariables</a></div><div class="ttdeci">void AddConstraintsWithSlackVariables(const SparseMatrix &amp;coefficients, const DenseColumn &amp;left_hand_sides, const DenseColumn &amp;right_hand_sides, const StrictITIVector&lt; RowIndex, std::string &gt; &amp;names, bool detect_integer_constraints_for_slack)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00997">lp_data.cc:997</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_aeeee0971281f2781c379fce7a64a5049"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#aeeee0971281f2781c379fce7a64a5049">operations_research::glop::LinearProgram::GetSparseColumn</a></div><div class="ttdeci">const SparseColumn &amp; GetSparseColumn(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l00409">lp_data.cc:409</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::LinearProgram::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00211">lp_data.h:211</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_linear_program_html_afda9b9b5e858d0c466d2a6293361004a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_linear_program.html#afda9b9b5e858d0c466d2a6293361004a">operations_research::glop::LinearProgram::num_constraints</a></div><div class="ttdeci">RowIndex num_constraints() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00208">lp_data.h:208</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_permutation_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_permutation.html">operations_research::glop::Permutation&lt; RowIndex &gt;</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_column_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_column.html">operations_research::glop::SparseColumn</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse__column_8h_source.html#l00044">sparse_column.h:44</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html">operations_research::glop::SparseMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00062">sparse.h:62</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a41741829541d089f1c4d34f190884813"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a41741829541d089f1c4d34f190884813">operations_research::glop::SparseMatrix::num_cols</a></div><div class="ttdeci">ColIndex num_cols() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00178">sparse.h:178</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a5e016d204d43b2cc4a2773c25462968a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a5e016d204d43b2cc4a2773c25462968a">operations_research::glop::SparseMatrix::IsCleanedUp</a></div><div class="ttdeci">bool IsCleanedUp() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00135">sparse.cc:135</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_a960110e64357a3e69162ebf1f71959dd"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#a960110e64357a3e69162ebf1f71959dd">operations_research::glop::SparseMatrix::num_rows</a></div><div class="ttdeci">RowIndex num_rows() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00177">sparse.h:177</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_sparse_matrix_html_af69d9b7065a8f31604a8134be4307749"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_sparse_matrix.html#af69d9b7065a8f31604a8134be4307749">operations_research::glop::SparseMatrix::num_entries</a></div><div class="ttdeci">EntryIndex num_entries() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8cc_source.html#l00389">sparse.cc:389</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, Fractional &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="afp__utils_8h_html"><div class="ttname"><a href="fp__utils_8h.html">fp_utils.h</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00137">gscip_solver.cc:137</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00136">gscip_solver.cc:136</a></div></div>
<div class="ttc" id="agscip__solver_8cc_html_aa59e74cc299dbf75fa6e2234dd0849a2"><div class="ttname"><a href="gscip__solver_8cc.html#aa59e74cc299dbf75fa6e2234dd0849a2">coefficients</a></div><div class="ttdeci">absl::Span&lt; const double &gt; coefficients</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00140">gscip_solver.cc:140</a></div></div>
<div class="ttc" id="ahash_8h_html"><div class="ttname"><a href="hash_8h.html">hash.h</a></div></div>
<div class="ttc" id="aint__type_8h_html"><div class="ttname"><a href="int__type_8h.html">int_type.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="amacros_8h_html"><div class="ttname"><a href="macros_8h.html">macros.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="anamespaceoperations__research_1_1glop_html_a0f6bd47b8956b59589718bd40b1cf8bc"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a0f6bd47b8956b59589718bd40b1cf8bc">operations_research::glop::ConstraintStatus</a></div><div class="ttdeci">ConstraintStatus</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00231">lp_types.h:231</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a2122f0c519a9e417e92c63273565d6b5"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a2122f0c519a9e417e92c63273565d6b5">operations_research::glop::AreBoundsValid</a></div><div class="ttdeci">bool AreBoundsValid(Fractional lower_bound, Fractional upper_bound)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00693">lp_data.h:693</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a4452e21ffb34da40470f1e0791800027"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a4452e21ffb34da40470f1e0791800027">operations_research::glop::VariableType</a></div><div class="ttdeci">VariableType</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00175">lp_types.h:175</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_a884f3b645d22471e5ed3320e182cd493"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a884f3b645d22471e5ed3320e182cd493">operations_research::glop::ProblemStatus</a></div><div class="ttdeci">ProblemStatus</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00102">lp_types.h:102</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a8d4212c24c21b25a11a4c119273df998"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a8d4212c24c21b25a11a4c119273df998">operations_research::glop::GlopParameters_ScalingAlgorithm</a></div><div class="ttdeci">GlopParameters_ScalingAlgorithm</div><div class="ttdef"><b>Definition:</b> <a href="parameters_8pb_8h_source.html#l00070">parameters.pb.h:70</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_aaddc7ccf1acc75842c2129ee4590d358"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358">operations_research::glop::VariableStatus</a></div><div class="ttdeci">VariableStatus</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00197">lp_types.h:197</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_aaddc7ccf1acc75842c2129ee4590d358a88c189a42c87aa49d667fc8ab76bc323"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358a88c189a42c87aa49d667fc8ab76bc323">operations_research::glop::VariableStatus::FREE</a></div><div class="ttdeci">@ FREE</div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ab6f11e2c930c0d4c390a9578db0af240"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ab6f11e2c930c0d4c390a9578db0af240">operations_research::glop::GlopParameters_CostScalingAlgorithm</a></div><div class="ttdeci">GlopParameters_CostScalingAlgorithm</div><div class="ttdef"><b>Definition:</b> <a href="parameters_8pb_8h_source.html#l00167">parameters.pb.h:167</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1glop_html_af9a790b7e8c5b0c6d55b336177378e78"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">operations_research::glop::kInfinity</a></div><div class="ttdeci">const double kInfinity</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00084">lp_types.h:84</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="asparse_8h_html"><div class="ttname"><a href="sparse_8h.html">sparse.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html">operations_research::glop::ProblemSolution</a></div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00657">lp_data.h:657</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_a0510352d22b652c9cda1e9dc34cd1fce"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#a0510352d22b652c9cda1e9dc34cd1fce">operations_research::glop::ProblemSolution::ProblemSolution</a></div><div class="ttdeci">ProblemSolution(RowIndex num_rows, ColIndex num_cols)</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00658">lp_data.h:658</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_a15eb0790f4f62ad63676f55e4ba7d2bb"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#a15eb0790f4f62ad63676f55e4ba7d2bb">operations_research::glop::ProblemSolution::status</a></div><div class="ttdeci">ProblemStatus status</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00665">lp_data.h:665</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#a764be64f3029f8b8e23511061d8de355">operations_research::glop::ProblemSolution::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8cc_source.html#l01541">lp_data.cc:1541</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_a887a20330f1f58adbe564ef0fcf74e8c"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#a887a20330f1f58adbe564ef0fcf74e8c">operations_research::glop::ProblemSolution::variable_statuses</a></div><div class="ttdeci">VariableStatusRow variable_statuses</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00685">lp_data.h:685</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_ac6b277da46124f6b08841906b0febbed"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#ac6b277da46124f6b08841906b0febbed">operations_research::glop::ProblemSolution::dual_values</a></div><div class="ttdeci">DenseColumn dual_values</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00670">lp_data.h:670</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_ae7a0a13dedf8ae7920036bfff1ad9c3b"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#ae7a0a13dedf8ae7920036bfff1ad9c3b">operations_research::glop::ProblemSolution::constraint_statuses</a></div><div class="ttdeci">ConstraintStatusColumn constraint_statuses</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00686">lp_data.h:686</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_problem_solution_html_af8a495c9872268c3e34d413d8b63ef66"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_problem_solution.html#af8a495c9872268c3e34d413d8b63ef66">operations_research::glop::ProblemSolution::primal_values</a></div><div class="ttdeci">DenseRow primal_values</div><div class="ttdef"><b>Definition:</b> <a href="lp__data_8h_source.html#l00669">lp_data.h:669</a></div></div>
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