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<a href="variables__info_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="preprocessor">#ifndef OR_TOOLS_GLOP_VARIABLES_INFO_H_</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_GLOP_VARIABLES_INFO_H_</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#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="l00018" name="l00018"></a><span class="lineno"> 18</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="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span>glop {</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment">// Holds the statuses of all the variables, including slack variables. There</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment">// is no point storing constraint statuses since internally all constraints are</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment">// always fixed to zero.</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment">//</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment">// Note that this is the minimal amount of information needed to perform a &quot;warm</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">// start&quot;. Using this information and the original linear program, the basis can</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">// be refactorized and all the needed quantities derived.</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">//</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// TODO(user): Introduce another state class to store a complete state of the</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// solver. Using this state and the original linear program, the solver can be</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="comment">// restarted with as little time overhead as possible. This is especially useful</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="comment">// for strong branching in a MIP context.</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_basis_state.html"> 35</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1glop_1_1_basis_state.html">BasisState</a> {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// TODO(user): A MIP solver will potentially store a lot of BasisStates so</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// memory usage is important. It is possible to use only 2 bits for one</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// VariableStatus enum. To achieve this, the FIXED_VALUE status can be</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// converted to either AT_LOWER_BOUND or AT_UPPER_BOUND and decoded properly</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// later since this will be used with a given linear program. This way we can</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// even encode more information by using the reduced cost sign to choose to</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// which bound the fixed status correspond.</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_basis_state.html#a6cc6941be01d3c765280e09be0246c3f"> 43</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_basis_state.html#a6cc6941be01d3c765280e09be0246c3f">statuses</a>;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// Returns true if this state is empty.</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="structoperations__research_1_1glop_1_1_basis_state.html#a8e12342fc420701fbffd97025421575a"> 46</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1glop_1_1_basis_state.html#a8e12342fc420701fbffd97025421575a">IsEmpty</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="structoperations__research_1_1glop_1_1_basis_state.html#a6cc6941be01d3c765280e09be0246c3f">statuses</a>.<a class="code hl_function" href="classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">empty</a>(); }</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>};</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment">// Class responsible for maintaining diverse information for each variable that</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// depend on its bounds and status.</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">// Note(user): Not all information is needed at all time, but it is cheap to</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">// maintain it since it only requires a few calls to Update() per simplex</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment">// iteration.</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_variables_info.html"> 55</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1glop_1_1_variables_info.html">VariablesInfo</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"> 57</span> <span class="comment">// Takes references to the linear program data we need.</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">explicit</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ab30db4c926fe6bf5fcbb3be8177d0cf4">VariablesInfo</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>&amp; matrix);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// Updates the internal bounds and recomputes the variable types from the</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// bounds (this is the only function that changes them).</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">//</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// Returns true iff the existing bounds didn&#39;t change. Except if the bounds</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// AND underlying matrix didn&#39;t change, one will need to call one of the two</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// Initialize*() methods below before using this class.</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ae8cd58179f49029e9b55fc53c1461494">LoadBoundsAndReturnTrueIfUnchanged</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; new_lower_bounds,</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</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; new_upper_bounds);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// Same for an LP not in equation form.</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ae8cd58179f49029e9b55fc53c1461494">LoadBoundsAndReturnTrueIfUnchanged</a>(</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</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_variable" href="trust__region__test_8cc.html#a16346c4c462dec8f0cf38493c5e0358c">variable_lower_bounds</a>,</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</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_variable" href="trust__region__test_8cc.html#a868af74445e29f368ccf4a9e053f9267">variable_upper_bounds</a>,</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</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; constraint_lower_bounds,</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</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; constraint_upper_bounds);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// Initializes the status according to the given BasisState. Incompatible</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// statuses will be corrected, and we transform the state correctly if new</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// columns / rows were added. Note however that one will need to update the</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// BasisState with deletions to preserve the status of unchanged columns.</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ad401fcfc84cd01c7aff52c7226a071b9">InitializeFromBasisState</a>(ColIndex first_slack, ColIndex num_new_cols,</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1glop_1_1_basis_state.html">BasisState</a>&amp; state);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// Changes to the FREE status any column with a BASIC status not listed in</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// the basis. Returns their number. Also makes sure all the columns listed in</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// basis are marked as basic. Note that if a variable is fixed, we set its</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// status to FIXED_VALUE not FREE.</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a4b35d51cb0a80a84c5c8c4137aebc8be">ChangeUnusedBasicVariablesToFree</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">RowToColMapping</a>&amp; basis);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Loops over all the free variables, and if such a variable has bounds and</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// its starting value is closer to its closest bound than the given distance,</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// change the status to move this variable to that bound. Returns the number</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// of changes. The variable for which starting_values is not provided are</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// considered at zero.</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">//</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// This is mainly useful if non-zero starting values are provided. It allows</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// to move all the variables close to their bounds at once instead of having</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// to move them one by one with simplex pivots later. Of course, by doing that</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// we usually introduce a small primal infeasibility that might need</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// correction.</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">//</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// If one uses a large distance, then all such variables will start at their</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// bound if they have one.</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a2cbc59ce42a916ecca03cf02ae95f4a1">SnapFreeVariablesToBound</a>(<a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="routing__search_8cc.html#a79b8e036dca6911e3295a47d99f21f43">distance</a>,</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</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; starting_values);</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">// Sets all variables status to their lowest magnitude bounds. Note that there</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// will be no basic variable after this is called.</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#aa4f80506e3b396ad0b23dd73b779913d">InitializeToDefaultStatus</a>();</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// Updates the information of the given variable. Note that it is not needed</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// to call this if the status or the bound of a variable didn&#39;t change.</span></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_variables_info.html#ab717dd0f604f9207435f9ab5336d1113">UpdateToBasicStatus</a>(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a84dcc462db65072ec3a28b87bb3cd3ad">UpdateToNonBasicStatus</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#aaddc7ccf1acc75842c2129ee4590d358">VariableStatus</a> <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// Various getter, see the corresponding member declaration below for more</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// information.</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">VariableTypeRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a78146b251b30383686ec55362254cc3b">GetTypeRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">VariableStatusRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ab4494c9680fc5d769a6143f11f00423b">GetStatusRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a6cc56ab5da3a82aa2793d18a37f422c4">GetCanIncreaseBitRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a71d4734d51e7037c043b68a74bd7857f">GetCanDecreaseBitRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1">GetIsRelevantBitRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a28ad52f334e030f4eb45939756a4476c">GetIsBasicBitRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a8e726c118c4449d9d3c5761e2853661a">GetNotBasicBitRow</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a>&amp; <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a505af340486fcf70ee83abb32e31a628">GetNonBasicBoxedVariables</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// Returns the variable bounds.</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_variables_info.html#a3db14ab65240d00133a76abb5f4edf8c"> 127</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_variables_info.html#a3db14ab65240d00133a76abb5f4edf8c">GetVariableLowerBounds</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> lower_bounds_; }</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_variables_info.html#ab93f3d12ceb27e391fb1785db7e56463"> 128</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_variables_info.html#ab93f3d12ceb27e391fb1785db7e56463">GetVariableUpperBounds</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> upper_bounds_; }</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_variables_info.html#ac619daf8c660b9dd6193606a051820a3"> 130</a></span> <span class="keyword">const</span> ColIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#ac619daf8c660b9dd6193606a051820a3">GetNumberOfColumns</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> matrix_.<a class="code hl_function" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">num_cols</a>(); }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// Changes whether or not a non-basic boxed variable is &#39;relevant&#39; and will be</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// returned as such by GetIsRelevantBitRow().</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a7aec5aa12d972d66a67d267aa9dd1b97">MakeBoxedVariableRelevant</a>(<span class="keywordtype">bool</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</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">// This is used in UpdateRow to decide whether to compute it using the</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// row-wise or column-wise representation.</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> EntryIndex <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a403cb41e08b5ffb338d004c85ca0853a">GetNumEntriesInRelevantColumns</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// Returns the distance between the upper and lower bound of the given column.</span></div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"><a class="line" href="classoperations__research_1_1glop_1_1_variables_info.html#a611fb1da73c33e2716b380db980fa825"> 141</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_variables_info.html#a611fb1da73c33e2716b380db980fa825">GetBoundDifference</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="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">return</span> upper_bounds_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>] - lower_bounds_[<a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>];</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> }</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// This is used for the (SP) method of &quot;Progress in the dual simplex method</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// for large scale LP problems: practical dual phase I algorithms&quot;. Achim</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// Koberstein &amp; Uwe H. Suhl.</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">//</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// This just set the bounds according to the variable types:</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// - Boxed variables get fixed at [0,0].</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="comment">// - Upper bounded variables get [-1, 0] bounds</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="comment">// - Lower bounded variables get [0, 1] bounds</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="comment">// - Free variables get [-1000, 1000] to heuristically move them to the basis.</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// I.e. they cost in the dual infeasibility minimization problem is</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="comment">// multiplied by 1000.</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="comment">//</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="comment">// It then update the status to get an initial dual feasible solution, and</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// then one just have to apply the phase II algo on this problem to try to</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="comment">// find a feasible solution to the original problem.</span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="comment">//</span></div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">// Optimization: When a variable become basic, its non-zero bounds are</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">// relaxed. This is a bit hacky as it requires that the status is updated</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// before the bounds are read (which is the case). It is however an important</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// optimization.</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">//</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="comment">// TODO(user): Shall we re-add the bound when the variable is moved out of</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// the base? it is not needed, but might allow for more bound flips?</span></div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#afa547fd7ed9d419d400f058eebd97d2f">TransformToDualPhaseIProblem</a>(<a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> dual_feasibility_tolerance,</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</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; reduced_costs);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1glop_1_1_variables_info.html#a7a1a02496fca5057c918fb1f16a5c898">EndDualPhaseI</a>(<a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> dual_feasibility_tolerance,</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</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; reduced_costs);</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="keyword">private</span>:</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// Computes the initial/default variable status from its type. A constrained</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// variable is set to the lowest of its 2 bounds in absolute value.</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#aaddc7ccf1acc75842c2129ee4590d358">VariableStatus</a> DefaultVariableStatus(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</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">// Resizes all status related vectors.</span></div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordtype">void</span> ResetStatusInfo();</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// Computes the variable type from its lower and upper bound.</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <a class="code hl_enumeration" href="namespaceoperations__research_1_1glop.html#a4452e21ffb34da40470f1e0791800027">VariableType</a> ComputeVariableType(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// Sets the column relevance and updates num_entries_in_relevant_columns_.</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordtype">void</span> SetRelevance(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>, <span class="keywordtype">bool</span> relevance);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">// Used by TransformToDualPhaseIProblem()/EndDualPhaseI().</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keywordtype">void</span> UpdateStatusForNewType(ColIndex <a class="code hl_variable" href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a>);</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Problem data that should be updated from outside.</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">CompactSparseMatrix</a>&amp; matrix_;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// The variables bounds of the current problem. Like everything here, it</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// include the slacks.</span></div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> lower_bounds_;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> upper_bounds_;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// This is just used temporarily by the dual phase I algo to save the original</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// bounds.</span></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> saved_lower_bounds_;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">DenseRow</a> saved_upper_bounds_;</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// Array of variable statuses, indexed by column index.</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">VariableStatusRow</a> variable_status_;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> </div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// Array of variable types, indexed by column index.</span></div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <a class="code hl_class" href="classoperations__research_1_1glop_1_1_strict_i_t_i_vector.html">VariableTypeRow</a> variable_type_;</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="comment">// Indicates if a non-basic variable can move up or down while not increasing</span></div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// the primal infeasibility. Note that all combinaisons are possible for a</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// variable according to its status: fixed, free, upper or lower bounded. This</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// is always false for basic variable.</span></div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a> can_increase_;</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a> can_decrease_;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// Indicates if we should consider this variable for entering the basis during</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// the simplex algorithm. We never consider fixed variables and in the dual</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// feasibility phase, we don&#39;t consider boxed variable.</span></div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a> relevance_;</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> <span class="comment">// Indicates if a variable is BASIC or not. There are currently two members</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="comment">// because the DenseBitRow class only supports a nice range-based iteration on</span></div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="comment">// the non-zero positions and not on the others.</span></div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a> is_basic_;</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a> not_basic_;</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">// Set of boxed variables that are non-basic.</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <a class="code hl_class" href="classoperations__research_1_1_bitset64.html">DenseBitRow</a> non_basic_boxed_variables_;</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// Number of entries for the relevant matrix columns (see relevance_).</span></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> EntryIndex num_entries_in_relevant_columns_;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="comment">// Whether or not a boxed variable should be considered relevant.</span></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keywordtype">bool</span> boxed_variables_are_relevant_ = <span class="keyword">true</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">// Whether we are between the calls TransformToDualPhaseIProblem() and</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="comment">// EndDualPhaseI().</span></div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="keywordtype">bool</span> in_dual_phase_one_ = <span class="keyword">false</span>;</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> DISALLOW_COPY_AND_ASSIGN(<a class="code hl_class" href="classoperations__research_1_1glop_1_1_variables_info.html">VariablesInfo</a>);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span>};</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span>} <span class="comment">// namespace glop</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span>} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_GLOP_VARIABLES_INFO_H_</span></div>
<div class="ttc" id="aclassabsl_1_1_strong_vector_html_a644718bb2fb240de962dc3c9a1fdf0dc"><div class="ttname"><a href="classabsl_1_1_strong_vector.html#a644718bb2fb240de962dc3c9a1fdf0dc">absl::StrongVector::empty</a></div><div class="ttdeci">bool empty() const</div><div class="ttdef"><b>Definition:</b> <a href="strong__vector_8h_source.html#l00156">strong_vector.h:156</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_bitset64_html"><div class="ttname"><a href="classoperations__research_1_1_bitset64.html">operations_research::Bitset64&lt; ColIndex &gt;</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html">operations_research::glop::CompactSparseMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00289">sparse.h:289</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_compact_sparse_matrix_html_a41741829541d089f1c4d34f190884813"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_compact_sparse_matrix.html#a41741829541d089f1c4d34f190884813">operations_research::glop::CompactSparseMatrix::num_cols</a></div><div class="ttdeci">ColIndex num_cols() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse_8h_source.html#l00350">sparse.h:350</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; ColIndex, VariableStatus &gt;</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html">operations_research::glop::VariablesInfo</a></div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00055">variables_info.h:55</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a28ad52f334e030f4eb45939756a4476c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a28ad52f334e030f4eb45939756a4476c">operations_research::glop::VariablesInfo::GetIsBasicBitRow</a></div><div class="ttdeci">const DenseBitRow &amp; GetIsBasicBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00306">variables_info.cc:306</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a2cbc59ce42a916ecca03cf02ae95f4a1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a2cbc59ce42a916ecca03cf02ae95f4a1">operations_research::glop::VariablesInfo::SnapFreeVariablesToBound</a></div><div class="ttdeci">int SnapFreeVariablesToBound(Fractional distance, const DenseRow &amp;starting_values)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00184">variables_info.cc:184</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a3db14ab65240d00133a76abb5f4edf8c"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a3db14ab65240d00133a76abb5f4edf8c">operations_research::glop::VariablesInfo::GetVariableLowerBounds</a></div><div class="ttdeci">const DenseRow &amp; GetVariableLowerBounds() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00127">variables_info.h:127</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a403cb41e08b5ffb338d004c85ca0853a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a403cb41e08b5ffb338d004c85ca0853a">operations_research::glop::VariablesInfo::GetNumEntriesInRelevantColumns</a></div><div class="ttdeci">EntryIndex GetNumEntriesInRelevantColumns() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00316">variables_info.cc:316</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a4b35d51cb0a80a84c5c8c4137aebc8be"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a4b35d51cb0a80a84c5c8c4137aebc8be">operations_research::glop::VariablesInfo::ChangeUnusedBasicVariablesToFree</a></div><div class="ttdeci">int ChangeUnusedBasicVariablesToFree(const RowToColMapping &amp;basis)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00163">variables_info.cc:163</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a505af340486fcf70ee83abb32e31a628"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a505af340486fcf70ee83abb32e31a628">operations_research::glop::VariablesInfo::GetNonBasicBoxedVariables</a></div><div class="ttdeci">const DenseBitRow &amp; GetNonBasicBoxedVariables() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00312">variables_info.cc:312</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a611fb1da73c33e2716b380db980fa825"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a611fb1da73c33e2716b380db980fa825">operations_research::glop::VariablesInfo::GetBoundDifference</a></div><div class="ttdeci">Fractional GetBoundDifference(ColIndex col) const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00141">variables_info.h:141</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a6cc56ab5da3a82aa2793d18a37f422c4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a6cc56ab5da3a82aa2793d18a37f422c4">operations_research::glop::VariablesInfo::GetCanIncreaseBitRow</a></div><div class="ttdeci">const DenseBitRow &amp; GetCanIncreaseBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00294">variables_info.cc:294</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a71d4734d51e7037c043b68a74bd7857f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a71d4734d51e7037c043b68a74bd7857f">operations_research::glop::VariablesInfo::GetCanDecreaseBitRow</a></div><div class="ttdeci">const DenseBitRow &amp; GetCanDecreaseBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00298">variables_info.cc:298</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a78146b251b30383686ec55362254cc3b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a78146b251b30383686ec55362254cc3b">operations_research::glop::VariablesInfo::GetTypeRow</a></div><div class="ttdeci">const VariableTypeRow &amp; GetTypeRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00286">variables_info.cc:286</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a7a1a02496fca5057c918fb1f16a5c898"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a7a1a02496fca5057c918fb1f16a5c898">operations_research::glop::VariablesInfo::EndDualPhaseI</a></div><div class="ttdeci">void EndDualPhaseI(Fractional dual_feasibility_tolerance, const DenseRow &amp;reduced_costs)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00436">variables_info.cc:436</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a7aec5aa12d972d66a67d267aa9dd1b97"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a7aec5aa12d972d66a67d267aa9dd1b97">operations_research::glop::VariablesInfo::MakeBoxedVariableRelevant</a></div><div class="ttdeci">void MakeBoxedVariableRelevant(bool value)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00236">variables_info.cc:236</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a84dcc462db65072ec3a28b87bb3cd3ad"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a84dcc462db65072ec3a28b87bb3cd3ad">operations_research::glop::VariablesInfo::UpdateToNonBasicStatus</a></div><div class="ttdeci">void UpdateToNonBasicStatus(ColIndex col, VariableStatus status)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00267">variables_info.cc:267</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_a8e726c118c4449d9d3c5761e2853661a"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#a8e726c118c4449d9d3c5761e2853661a">operations_research::glop::VariablesInfo::GetNotBasicBitRow</a></div><div class="ttdeci">const DenseBitRow &amp; GetNotBasicBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00308">variables_info.cc:308</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_aa4f80506e3b396ad0b23dd73b779913d"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#aa4f80506e3b396ad0b23dd73b779913d">operations_research::glop::VariablesInfo::InitializeToDefaultStatus</a></div><div class="ttdeci">void InitializeToDefaultStatus()</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00210">variables_info.cc:210</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ab30db4c926fe6bf5fcbb3be8177d0cf4"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ab30db4c926fe6bf5fcbb3be8177d0cf4">operations_research::glop::VariablesInfo::VariablesInfo</a></div><div class="ttdeci">VariablesInfo(const CompactSparseMatrix &amp;matrix)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00019">variables_info.cc:19</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ab4494c9680fc5d769a6143f11f00423b"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ab4494c9680fc5d769a6143f11f00423b">operations_research::glop::VariablesInfo::GetStatusRow</a></div><div class="ttdeci">const VariableStatusRow &amp; GetStatusRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00290">variables_info.cc:290</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ab717dd0f604f9207435f9ab5336d1113"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ab717dd0f604f9207435f9ab5336d1113">operations_research::glop::VariablesInfo::UpdateToBasicStatus</a></div><div class="ttdeci">void UpdateToBasicStatus(ColIndex col)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00250">variables_info.cc:250</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ab93f3d12ceb27e391fb1785db7e56463"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ab93f3d12ceb27e391fb1785db7e56463">operations_research::glop::VariablesInfo::GetVariableUpperBounds</a></div><div class="ttdeci">const DenseRow &amp; GetVariableUpperBounds() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00128">variables_info.h:128</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ac4385751c629a96a6d1ef5ac70af45e1"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ac4385751c629a96a6d1ef5ac70af45e1">operations_research::glop::VariablesInfo::GetIsRelevantBitRow</a></div><div class="ttdeci">const DenseBitRow &amp; GetIsRelevantBitRow() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00302">variables_info.cc:302</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ac619daf8c660b9dd6193606a051820a3"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ac619daf8c660b9dd6193606a051820a3">operations_research::glop::VariablesInfo::GetNumberOfColumns</a></div><div class="ttdeci">const ColIndex GetNumberOfColumns() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00130">variables_info.h:130</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ad401fcfc84cd01c7aff52c7226a071b9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ad401fcfc84cd01c7aff52c7226a071b9">operations_research::glop::VariablesInfo::InitializeFromBasisState</a></div><div class="ttdeci">void InitializeFromBasisState(ColIndex first_slack, ColIndex num_new_cols, const BasisState &amp;state)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00105">variables_info.cc:105</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_ae8cd58179f49029e9b55fc53c1461494"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#ae8cd58179f49029e9b55fc53c1461494">operations_research::glop::VariablesInfo::LoadBoundsAndReturnTrueIfUnchanged</a></div><div class="ttdeci">bool LoadBoundsAndReturnTrueIfUnchanged(const DenseRow &amp;new_lower_bounds, const DenseRow &amp;new_upper_bounds)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00022">variables_info.cc:22</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1glop_1_1_variables_info_html_afa547fd7ed9d419d400f058eebd97d2f"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_variables_info.html#afa547fd7ed9d419d400f058eebd97d2f">operations_research::glop::VariablesInfo::TransformToDualPhaseIProblem</a></div><div class="ttdeci">void TransformToDualPhaseIProblem(Fractional dual_feasibility_tolerance, const DenseRow &amp;reduced_costs)</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8cc_source.html#l00385">variables_info.cc:385</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="ag__gurobi_8cc_html_a2237393c7ae7ad7344c9885066d5ab6d"><div class="ttname"><a href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a></div><div class="ttdeci">absl::Status status</div><div class="ttdef"><b>Definition:</b> <a href="g__gurobi_8cc_source.html#l00035">g_gurobi.cc:35</a></div></div>
<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
<div class="ttc" id="amarkowitz_8cc_html_aa9d6c98fdf8d89b0e2321fda02adc82c"><div class="ttname"><a href="markowitz_8cc.html#aa9d6c98fdf8d89b0e2321fda02adc82c">col</a></div><div class="ttdeci">ColIndex col</div><div class="ttdef"><b>Definition:</b> <a href="markowitz_8cc_source.html#l00183">markowitz.cc:183</a></div></div>
<div class="ttc" id="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_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_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="arouting__search_8cc_html_a79b8e036dca6911e3295a47d99f21f43"><div class="ttname"><a href="routing__search_8cc.html#a79b8e036dca6911e3295a47d99f21f43">distance</a></div><div class="ttdeci">double distance</div><div class="ttdef"><b>Definition:</b> <a href="routing__search_8cc_source.html#l03741">routing_search.cc:3741</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_basis_state_html"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_basis_state.html">operations_research::glop::BasisState</a></div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00035">variables_info.h:35</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_basis_state_html_a6cc6941be01d3c765280e09be0246c3f"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_basis_state.html#a6cc6941be01d3c765280e09be0246c3f">operations_research::glop::BasisState::statuses</a></div><div class="ttdeci">VariableStatusRow statuses</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00043">variables_info.h:43</a></div></div>
<div class="ttc" id="astructoperations__research_1_1glop_1_1_basis_state_html_a8e12342fc420701fbffd97025421575a"><div class="ttname"><a href="structoperations__research_1_1glop_1_1_basis_state.html#a8e12342fc420701fbffd97025421575a">operations_research::glop::BasisState::IsEmpty</a></div><div class="ttdeci">bool IsEmpty() const</div><div class="ttdef"><b>Definition:</b> <a href="variables__info_8h_source.html#l00046">variables_info.h:46</a></div></div>
<div class="ttc" id="atrust__region__test_8cc_html_a16346c4c462dec8f0cf38493c5e0358c"><div class="ttname"><a href="trust__region__test_8cc.html#a16346c4c462dec8f0cf38493c5e0358c">variable_lower_bounds</a></div><div class="ttdeci">VectorXd variable_lower_bounds</div><div class="ttdef"><b>Definition:</b> <a href="trust__region__test_8cc_source.html#l00863">trust_region_test.cc:863</a></div></div>
<div class="ttc" id="atrust__region__test_8cc_html_a868af74445e29f368ccf4a9e053f9267"><div class="ttname"><a href="trust__region__test_8cc.html#a868af74445e29f368ccf4a9e053f9267">variable_upper_bounds</a></div><div class="ttdeci">VectorXd variable_upper_bounds</div><div class="ttdef"><b>Definition:</b> <a href="trust__region__test_8cc_source.html#l00864">trust_region_test.cc:864</a></div></div>
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