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237 lines
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<div class="title">linear_expr.h</div> </div>
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<a href="linear__expr_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#ifndef OR_TOOLS_LINEAR_SOLVER_LINEAR_EXPR_H_</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#define OR_TOOLS_LINEAR_SOLVER_LINEAR_EXPR_H_</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="preprocessor">#include <ostream></span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor">#include <string></span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="preprocessor">#include "absl/container/flat_hash_map.h"</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// NOTE(user): forward declaration is necessary due to cyclic dependencies,</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// MPVariable is defined in linear_solver.h, which depends on LinearExpr.</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">class </span>MPVariable;</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html"> 114</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> {</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr</a>();</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr</a>(<span class="keywordtype">double</span> constant); <span class="comment">// NOLINT</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"> /***</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> * Possible implicit conversions are intentional.</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"> * Warning: var is not owned.</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>); <span class="comment">// NOLINT</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">static</span> <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code" href="classoperations__research_1_1_linear_expr.html#af7090523fa7dfe3329099051940decfc">NotVar</a>(<a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code" href="classoperations__research_1_1_linear_expr.html#a8bf5a8a9a39766ad2665df3918fa16f5">operator+=</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs);</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code" href="classoperations__research_1_1_linear_expr.html#a8e15a84c5f3a2689174372cc15e62848">operator-=</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs);</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code" href="classoperations__research_1_1_linear_expr.html#a76cff2db2d37cf7bb3853edae5791536">operator*=</a>(<span class="keywordtype">double</span> rhs);</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code" href="classoperations__research_1_1_linear_expr.html#a9e9625e3efbde1a73eaf5a49d11487fc">operator/=</a>(<span class="keywordtype">double</span> rhs);</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code" href="classoperations__research_1_1_linear_expr.html#a32985ab0882c48b374e1d26e0fdf9ce6">operator-</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  </div>
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<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3"> 142</a></span>  <span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> offset_; }</div>
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<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a665001590f89bb9446d0030e2ef8047b"> 143</a></span>  <span class="keyword">const</span> absl::flat_hash_map<const MPVariable*, double>& <a class="code" href="classoperations__research_1_1_linear_expr.html#a665001590f89bb9446d0030e2ef8047b">terms</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">return</span> terms_;</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  </div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1_linear_expr.html#a1953d5ae154875095008836cd15ab348">SolutionValue</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::string <a class="code" href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0">ToString</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  </div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordtype">double</span> offset_;</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  absl::flat_hash_map<const MPVariable*, double> terms_;</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> };</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> std::ostream& <a class="code" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& stream, <span class="keyword">const</span> LinearExpr& linear_expr);</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  </div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// NOTE(user): in the ops below, the non-"const LinearExpr&" are intentional.</span></div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// We need to create a new LinearExpr for the result, so we lose nothing by</span></div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// passing one argument by value, mutating it, and then returning it. In</span></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// particular, this allows (with move semantics and RVO) an optimized</span></div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment">// evaluation of expressions such as</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// a + b + c + d</span></div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// (see http://en.cppreference.com/w/cpp/language/operators).</span></div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> LinearExpr <a class="code" href="namespaceoperations__research.html#a118de93231a6290e4f98ce5d981fd903">operator+</a>(LinearExpr lhs, <span class="keyword">const</span> LinearExpr& rhs);</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> LinearExpr <a class="code" href="namespaceoperations__research.html#a9a57971e3ced4a836ed66de9dc3b657d">operator-</a>(LinearExpr lhs, <span class="keyword">const</span> LinearExpr& rhs);</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> LinearExpr <a class="code" href="namespaceoperations__research.html#a66066138340286e4386bbb3de7eafdf4">operator*</a>(LinearExpr lhs, <span class="keywordtype">double</span> rhs);</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> LinearExpr <a class="code" href="namespaceoperations__research.html#a81b3f73c470d398ce42791b85964e90f">operator/</a>(LinearExpr lhs, <span class="keywordtype">double</span> rhs);</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> LinearExpr <a class="code" href="namespaceoperations__research.html#a66066138340286e4386bbb3de7eafdf4">operator*</a>(<span class="keywordtype">double</span> lhs, LinearExpr rhs);</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
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<div class="line"><a name="l00192"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_range.html"> 192</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1_linear_range.html">LinearRange</a> {</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_range.html#a32ea297f2577df1857c480c965f0b6b7"> 194</a></span>  <a class="code" href="classoperations__research_1_1_linear_range.html#a32ea297f2577df1857c480c965f0b6b7">LinearRange</a>() : lower_bound_(0), upper_bound_(0) {}</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="classoperations__research_1_1_linear_range.html#a32ea297f2577df1857c480c965f0b6b7">LinearRange</a>(<span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1_linear_range.html#a9748ce3280b2d4c16a2cd38a480b9c7c">lower_bound</a>, <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code" href="classoperations__research_1_1_linear_range.html#ac94f6b1a6cc64b35da3b2a250e0c606d">linear_expr</a>,</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1_linear_range.html#a5158072d27a176fc38524893183d6527">upper_bound</a>);</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
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<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_range.html#a9748ce3280b2d4c16a2cd38a480b9c7c"> 205</a></span>  <span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1_linear_range.html#a9748ce3280b2d4c16a2cd38a480b9c7c">lower_bound</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> lower_bound_; }</div>
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<div class="line"><a name="l00206"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_range.html#ac94f6b1a6cc64b35da3b2a250e0c606d"> 206</a></span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code" href="classoperations__research_1_1_linear_range.html#ac94f6b1a6cc64b35da3b2a250e0c606d">linear_expr</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> linear_expr_; }</div>
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<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_range.html#a5158072d27a176fc38524893183d6527"> 207</a></span>  <span class="keywordtype">double</span> <a class="code" href="classoperations__research_1_1_linear_range.html#a5158072d27a176fc38524893183d6527">upper_bound</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> upper_bound_; }</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordtype">double</span> lower_bound_;</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="comment">// invariant: linear_expr_.offset() == 0.</span></div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <a class="code" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> linear_expr_;</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordtype">double</span> upper_bound_;</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> };</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  </div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> LinearRange <a class="code" href="namespaceoperations__research.html#ad0e6185e1b4809a4edd6cc31ac00d7e2">operator<=</a>(<span class="keyword">const</span> LinearExpr& lhs, <span class="keyword">const</span> LinearExpr& rhs);</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> LinearRange <a class="code" href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operator==</a>(<span class="keyword">const</span> LinearExpr& lhs, <span class="keyword">const</span> LinearExpr& rhs);</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> LinearRange <a class="code" href="namespaceoperations__research.html#ab7cf6c0298d3fa64034fe8d1eff683f6">operator>=</a>(<span class="keyword">const</span> LinearExpr& lhs, <span class="keyword">const</span> LinearExpr& rhs);</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  </div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// TODO(user,user): explore defining more overloads to support:</span></div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment">// solver.AddRowConstraint(0.0 <= x + y + z <= 1.0);</span></div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  </div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_LINEAR_SOLVER_LINEAR_EXPR_H_</span></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html">operations_research::LinearExpr</a></div><div class="ttdoc">LinearExpr models a quantity that is linear in the decision variables (MPVariable) of an optimization...</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00114">linear_expr.h:114</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a1953d5ae154875095008836cd15ab348"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a1953d5ae154875095008836cd15ab348">operations_research::LinearExpr::SolutionValue</a></div><div class="ttdeci">double SolutionValue() const</div><div class="ttdoc">Evaluates the value of this expression at the solution found.</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00075">linear_expr.cc:75</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a19c380b03cea21d7ac7325136a131ff0"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0">operations_research::LinearExpr::ToString</a></div><div class="ttdeci">std::string ToString() const</div><div class="ttdoc">A human readable representation of this.</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00119">linear_expr.cc:119</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a32985ab0882c48b374e1d26e0fdf9ce6"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a32985ab0882c48b374e1d26e0fdf9ce6">operations_research::LinearExpr::operator-</a></div><div class="ttdeci">LinearExpr operator-() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00066">linear_expr.cc:66</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a665001590f89bb9446d0030e2ef8047b"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a665001590f89bb9446d0030e2ef8047b">operations_research::LinearExpr::terms</a></div><div class="ttdeci">const absl::flat_hash_map< const MPVariable *, double > & terms() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00143">linear_expr.h:143</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a708e7b52aae1fa3c440ef7ced3f06cd9"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">operations_research::LinearExpr::LinearExpr</a></div><div class="ttdeci">LinearExpr()</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00026">linear_expr.cc:26</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a76cff2db2d37cf7bb3853edae5791536"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a76cff2db2d37cf7bb3853edae5791536">operations_research::LinearExpr::operator*=</a></div><div class="ttdeci">LinearExpr & operator*=(double rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00048">linear_expr.cc:48</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a8bf5a8a9a39766ad2665df3918fa16f5"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a8bf5a8a9a39766ad2665df3918fa16f5">operations_research::LinearExpr::operator+=</a></div><div class="ttdeci">LinearExpr & operator+=(const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00032">linear_expr.cc:32</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a8e15a84c5f3a2689174372cc15e62848"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a8e15a84c5f3a2689174372cc15e62848">operations_research::LinearExpr::operator-=</a></div><div class="ttdeci">LinearExpr & operator-=(const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00040">linear_expr.cc:40</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a96ffc785b7b2135c7980c985883ffdd3"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3">operations_research::LinearExpr::offset</a></div><div class="ttdeci">double offset() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00142">linear_expr.h:142</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_a9e9625e3efbde1a73eaf5a49d11487fc"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#a9e9625e3efbde1a73eaf5a49d11487fc">operations_research::LinearExpr::operator/=</a></div><div class="ttdeci">LinearExpr & operator/=(double rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00061">linear_expr.cc:61</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_expr_html_af7090523fa7dfe3329099051940decfc"><div class="ttname"><a href="classoperations__research_1_1_linear_expr.html#af7090523fa7dfe3329099051940decfc">operations_research::LinearExpr::NotVar</a></div><div class="ttdeci">static LinearExpr NotVar(LinearExpr var)</div><div class="ttdoc">Returns 1-var.</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00069">linear_expr.cc:69</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_range_html"><div class="ttname"><a href="classoperations__research_1_1_linear_range.html">operations_research::LinearRange</a></div><div class="ttdoc">An expression of the form:</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00192">linear_expr.h:192</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_range_html_a32ea297f2577df1857c480c965f0b6b7"><div class="ttname"><a href="classoperations__research_1_1_linear_range.html#a32ea297f2577df1857c480c965f0b6b7">operations_research::LinearRange::LinearRange</a></div><div class="ttdeci">LinearRange()</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00194">linear_expr.h:194</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_range_html_a5158072d27a176fc38524893183d6527"><div class="ttname"><a href="classoperations__research_1_1_linear_range.html#a5158072d27a176fc38524893183d6527">operations_research::LinearRange::upper_bound</a></div><div class="ttdeci">double upper_bound() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00207">linear_expr.h:207</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_range_html_a9748ce3280b2d4c16a2cd38a480b9c7c"><div class="ttname"><a href="classoperations__research_1_1_linear_range.html#a9748ce3280b2d4c16a2cd38a480b9c7c">operations_research::LinearRange::lower_bound</a></div><div class="ttdeci">double lower_bound() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00205">linear_expr.h:205</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_linear_range_html_ac94f6b1a6cc64b35da3b2a250e0c606d"><div class="ttname"><a href="classoperations__research_1_1_linear_range.html#ac94f6b1a6cc64b35da3b2a250e0c606d">operations_research::LinearRange::linear_expr</a></div><div class="ttdeci">const LinearExpr & linear_expr() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8h_source.html#l00206">linear_expr.h:206</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1_m_p_variable_html"><div class="ttname"><a href="classoperations__research_1_1_m_p_variable.html">operations_research::MPVariable</a></div><div class="ttdoc">The class for variables of a Mathematical Programming (MP) model.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l01052">linear_solver.h:1052</a></div></div>
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<div class="ttc" id="aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01858">expr_array.cc:1858</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a118de93231a6290e4f98ce5d981fd903"><div class="ttname"><a href="namespaceoperations__research.html#a118de93231a6290e4f98ce5d981fd903">operations_research::operator+</a></div><div class="ttdeci">LinearExpr operator+(LinearExpr lhs, const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00146">linear_expr.cc:146</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a51e0728b2f50b8aa26f3115138b8ff1b"><div class="ttname"><a href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operations_research::operator<<</a></div><div class="ttdeci">std::ostream & operator<<(std::ostream &out, const Assignment &assignment)</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2assignment_8cc_source.html#l01089">constraint_solver/assignment.cc:1089</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a66066138340286e4386bbb3de7eafdf4"><div class="ttname"><a href="namespaceoperations__research.html#a66066138340286e4386bbb3de7eafdf4">operations_research::operator*</a></div><div class="ttdeci">LinearExpr operator*(LinearExpr lhs, double rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00154">linear_expr.cc:154</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a81b3f73c470d398ce42791b85964e90f"><div class="ttname"><a href="namespaceoperations__research.html#a81b3f73c470d398ce42791b85964e90f">operations_research::operator/</a></div><div class="ttdeci">LinearExpr operator/(LinearExpr lhs, double rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00158">linear_expr.cc:158</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_a9a57971e3ced4a836ed66de9dc3b657d"><div class="ttname"><a href="namespaceoperations__research.html#a9a57971e3ced4a836ed66de9dc3b657d">operations_research::operator-</a></div><div class="ttdeci">LinearExpr operator-(LinearExpr lhs, const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00150">linear_expr.cc:150</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_ab7cf6c0298d3fa64034fe8d1eff683f6"><div class="ttname"><a href="namespaceoperations__research.html#ab7cf6c0298d3fa64034fe8d1eff683f6">operations_research::operator>=</a></div><div class="ttdeci">LinearRange operator>=(const LinearExpr &lhs, const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00183">linear_expr.cc:183</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_ad0e6185e1b4809a4edd6cc31ac00d7e2"><div class="ttname"><a href="namespaceoperations__research.html#ad0e6185e1b4809a4edd6cc31ac00d7e2">operations_research::operator<=</a></div><div class="ttdeci">LinearRange operator<=(const LinearExpr &lhs, const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00177">linear_expr.cc:177</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_ae161405d349af5d521fa0fd25c3b6f83"><div class="ttname"><a href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operations_research::operator==</a></div><div class="ttdeci">LinearRange operator==(const LinearExpr &lhs, const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00180">linear_expr.cc:180</a></div></div>
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