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<a href="initial__basis_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#ifndef OR_TOOLS_GLOP_INITIAL_BASIS_H_</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#define OR_TOOLS_GLOP_INITIAL_BASIS_H_</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="lp__data_8h.html">ortools/lp_data/lp_data.h</a>&quot;</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<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 name="l00019"></a><span class="lineno"> 19</span>&#160;<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 name="l00020"></a><span class="lineno"> 20</span>&#160;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="keyword">namespace </span>glop {</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment">// This class implements two initial basis algorithms. The idea is to replace as</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment">// much as possible the columns of B that correspond to fixed slack variables</span></div><div class="line"><a name="l00026"></a><span class="linen
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html">operations_research::glop::InitialBasis</a></div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8h_source.html#l00044">initial_basis.h:44</a></div></div>
<div class="ttc" id="markowitz_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="namespaceoperations__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="classoperations__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="markowitz_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="sparse_8h_html"><div class="ttname"><a href="sparse_8h.html">sparse.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html_a5131899a6d009ae005c0ed3bdc610bc2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html#a5131899a6d009ae005c0ed3bdc610bc2">operations_research::glop::InitialBasis::CompleteBixbyBasis</a></div><div class="ttdeci">void CompleteBixbyBasis(ColIndex num_cols, RowToColMapping *basis)</div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8cc_source.html#l00038">initial_basis.cc:38</a></div></div>
<div class="ttc" id="gscip__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#l00126">gscip_solver.cc:126</a></div></div>
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html_a76876ba077b64a095c15770aea40d6c9"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html#a76876ba077b64a095c15770aea40d6c9">operations_research::glop::InitialBasis::GetDualMarosBasis</a></div><div class="ttdeci">void GetDualMarosBasis(ColIndex num_cols, RowToColMapping *basis)</div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8cc_source.html#l00105">initial_basis.cc:105</a></div></div>
<div class="ttc" id="gscip__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#l00125">gscip_solver.cc:125</a></div></div>
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html_a7cba4815d55cf1ab1e2f9258dae8b3b2"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html#a7cba4815d55cf1ab1e2f9258dae8b3b2">operations_research::glop::InitialBasis::GetPrimalMarosBasis</a></div><div class="ttdeci">void GetPrimalMarosBasis(ColIndex num_cols, RowToColMapping *basis)</div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8cc_source.html#l00100">initial_basis.cc:100</a></div></div>
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html_a32936088b1bad8c16018509688635b92"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html#a32936088b1bad8c16018509688635b92">operations_research::glop::InitialBasis::CompleteTriangularPrimalBasis</a></div><div class="ttdeci">void CompleteTriangularPrimalBasis(ColIndex num_cols, RowToColMapping *basis)</div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8cc_source.html#l00110">initial_basis.cc:110</a></div></div>
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html_a438d4b4af9e16ef2e33252a47d2cbdcc"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html#a438d4b4af9e16ef2e33252a47d2cbdcc">operations_research::glop::InitialBasis::InitialBasis</a></div><div class="ttdeci">InitialBasis(const CompactSparseMatrix &amp;compact_matrix, const DenseRow &amp;objective, const DenseRow &amp;lower_bound, const DenseRow &amp;upper_bound, const VariableTypeRow &amp;variable_type)</div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8cc_source.html#l00024">initial_basis.cc:24</a></div></div>
<div class="ttc" id="lp__data_8h_html"><div class="ttname"><a href="lp__data_8h.html">lp_data.h</a></div></div>
<div class="ttc" id="classoperations__research_1_1glop_1_1_initial_basis_html_a3d28502c22b7bcc6a65a04a97aee3ac5"><div class="ttname"><a href="classoperations__research_1_1glop_1_1_initial_basis.html#a3d28502c22b7bcc6a65a04a97aee3ac5">operations_research::glop::InitialBasis::CompleteTriangularDualBasis</a></div><div class="ttdeci">void CompleteTriangularDualBasis(ColIndex num_cols, RowToColMapping *basis)</div><div class="ttdef"><b>Definition:</b> <a href="initial__basis_8cc_source.html#l00115">initial_basis.cc:115</a></div></div>
<div class="ttc" id="classoperations__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, Fractional &gt;</a></div></div>
<div class="ttc" id="namespaceoperations__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="lp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
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