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326 lines
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<a href="linear__expr_8cc.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>
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<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 "License");</span></div>
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<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>
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<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>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<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>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<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>
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<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 "AS IS" BASIS,</span></div>
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<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>
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<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>
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<div class="line"><a id="l00012" 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 id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include "<a class="code" href="linear__expr_8h.html">ortools/linear_solver/linear_expr.h</a>"</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include "absl/strings/str_join.h"</span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include "<a class="code" href="linear__solver_8h.html">ortools/linear_solver/linear_solver.h</a>"</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a7b163def8264a8ab405bb6069340d2c6"> 24</a></span><a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr::LinearExpr</a>(<span class="keywordtype">double</span> constant) : <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>(constant), terms_() {}</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9"> 26</a></span><a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr::LinearExpr</a>() : <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>(0.0) {}</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#ab2ca0acd2e70df1dbf8ec0d516bc7fcc"> 28</a></span><a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr::LinearExpr</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) : <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>(0.0) {</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> terms_[<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>] = 1.0;</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span>}</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a8bf5a8a9a39766ad2665df3918fa16f5"> 32</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a8bf5a8a9a39766ad2665df3918fa16f5">LinearExpr::operator+=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& kv : rhs.terms_) {</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> terms_[kv.first] += kv.second;</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> }</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> offset_ += rhs.offset_;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a8e15a84c5f3a2689174372cc15e62848"> 40</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a8e15a84c5f3a2689174372cc15e62848">LinearExpr::operator-=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& kv : rhs.terms_) {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> terms_[kv.first] -= kv.second;</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> }</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> offset_ -= rhs.offset_;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>}</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a76cff2db2d37cf7bb3853edae5791536"> 48</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a76cff2db2d37cf7bb3853edae5791536">LinearExpr::operator*=</a>(<span class="keywordtype">double</span> rhs) {</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">if</span> (rhs == 0) {</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> terms_.clear();</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> offset_ = 0;</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (rhs != 1) {</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>& kv : terms_) {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> kv.second *= rhs;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> offset_ *= rhs;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> }</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span>}</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a9e9625e3efbde1a73eaf5a49d11487fc"> 61</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a9e9625e3efbde1a73eaf5a49d11487fc">LinearExpr::operator/=</a>(<span class="keywordtype">double</span> rhs) {</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_define" href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a>(rhs, 0);</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">return</span> (*<span class="keyword">this</span>) *= 1 / rhs;</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>}</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a32985ab0882c48b374e1d26e0fdf9ce6"> 66</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a32985ab0882c48b374e1d26e0fdf9ce6">LinearExpr::operator-</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (*<span class="keyword">this</span>) * -1; }</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">// static</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#af7090523fa7dfe3329099051940decfc"> 69</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#af7090523fa7dfe3329099051940decfc">LinearExpr::NotVar</a>(<a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> *= -1;</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> += 1;</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span>}</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a1953d5ae154875095008836cd15ab348"> 75</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a1953d5ae154875095008836cd15ab348">LinearExpr::SolutionValue</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordtype">double</span> solution = offset_;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& pair : terms_) {</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> solution += pair.first->solution_value() * pair.second;</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> solution;</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>}</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="keyword">namespace </span>{</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="keywordtype">void</span> AppendTerm(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>, <span class="keyword">const</span> std::string& var_name,</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> is_first, std::string* s) {</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">if</span> (is_first) {</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> == 1.0) {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> absl::StrAppend(s, var_name);</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> == -1.0) {</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> absl::StrAppend(s, <span class="stringliteral">"-"</span>, var_name);</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> absl::StrAppend(s, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>, <span class="stringliteral">"*"</span>, var_name);</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> }</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> std::string op = <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> < 0 ? <span class="stringliteral">"-"</span> : <span class="stringliteral">"+"</span>;</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">const</span> <span class="keywordtype">double</span> abs_coef = std::abs(<a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>);</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">if</span> (abs_coef == 1.0) {</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> absl::StrAppend(s, <span class="stringliteral">" "</span>, op, <span class="stringliteral">" "</span>, var_name);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> absl::StrAppend(s, <span class="stringliteral">" "</span>, op, <span class="stringliteral">" "</span>, abs_coef, <span class="stringliteral">"*"</span>, var_name);</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="keywordtype">void</span> AppendOffset(<span class="keyword">const</span> <span class="keywordtype">double</span> offset, <span class="keyword">const</span> <span class="keywordtype">bool</span> is_first, std::string* s) {</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordflow">if</span> (is_first) {</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> absl::StrAppend(s, offset);</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">if</span> (offset != 0.0) {</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> std::string op = offset < 0 ? <span class="stringliteral">"-"</span> : <span class="stringliteral">"+"</span>;</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> absl::StrAppend(s, <span class="stringliteral">" "</span>, op, <span class="stringliteral">" "</span>, std::abs(offset));</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span>}</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>} <span class="comment">// namespace</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0"> 119</a></span>std::string <a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0">LinearExpr::ToString</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> std::vector<const MPVariable*> vars_in_order;</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& var_val_pair : terms_) {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> vars_in_order.push_back(var_val_pair.first);</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::sort(vars_in_order.begin(), vars_in_order.end(),</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> [](<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* v, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* u) {</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> return v->index() < u->index();</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> });</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> std::string result;</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordtype">bool</span> is_first = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : vars_in_order) {</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// MPSolver gives names to all variables, even if you don't.</span></div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>->name().empty());</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> AppendTerm(terms_.at(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>), <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>->name(), is_first, &result);</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> is_first = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> }</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> AppendOffset(offset_, is_first, &result);</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// TODO(user): support optionally cropping long strings.</span></div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span>}</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> </div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a4d39af6692e71ee2b0191f0a9d46b764"> 141</a></span>std::ostream& <a class="code hl_function" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& stream, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& linear_expr) {</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> stream << linear_expr.<a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0">ToString</a>();</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">return</span> stream;</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>}</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a118de93231a6290e4f98ce5d981fd903"> 146</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="namespaceoperations__research.html#a118de93231a6290e4f98ce5d981fd903">operator+</a>(<a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> lhs, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> lhs += rhs;</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordflow">return</span> lhs;</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span>}</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a9a57971e3ced4a836ed66de9dc3b657d"> 150</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="namespaceoperations__research.html#a9a57971e3ced4a836ed66de9dc3b657d">operator-</a>(<a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> lhs, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> lhs -= rhs;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">return</span> lhs;</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span>}</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a66066138340286e4386bbb3de7eafdf4"> 154</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="namespaceoperations__research.html#a66066138340286e4386bbb3de7eafdf4">operator*</a>(<a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> lhs, <span class="keywordtype">double</span> rhs) {</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> lhs *= rhs;</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">return</span> lhs;</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span>}</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a81b3f73c470d398ce42791b85964e90f"> 158</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="namespaceoperations__research.html#a81b3f73c470d398ce42791b85964e90f">operator/</a>(<a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> lhs, <span class="keywordtype">double</span> rhs) {</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> lhs /= rhs;</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordflow">return</span> lhs;</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span>}</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a4ad9d128501e5d521839ad16cdc82d39"> 162</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="code hl_function" href="namespaceoperations__research.html#a66066138340286e4386bbb3de7eafdf4">operator*</a>(<span class="keywordtype">double</span> lhs, <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> rhs) {</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> rhs *= lhs;</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">return</span> rhs;</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span>}</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_linear_range.html#ac594ef42ae702537dd3fcd7dee8742a2"> 167</a></span><a class="code hl_function" href="classoperations__research_1_1_linear_range.html#a32ea297f2577df1857c480c965f0b6b7">LinearRange::LinearRange</a>(<span class="keywordtype">double</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& linear_expr,</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>)</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> : lower_bound_(<a class="code hl_variable" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>),</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> linear_expr_(linear_expr),</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> upper_bound_(<a class="code hl_variable" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>) {</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> lower_bound_ -= linear_expr_.<a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>();</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> upper_bound_ -= linear_expr_.<a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>();</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> linear_expr_ -= linear_expr_.<a class="code hl_function" href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>();</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span>}</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> </div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#ad0e6185e1b4809a4edd6cc31ac00d7e2"> 177</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_range.html">LinearRange</a> <a class="code hl_function" href="namespaceoperations__research.html#ad0e6185e1b4809a4edd6cc31ac00d7e2">operator<=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& lhs, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classoperations__research_1_1_linear_range.html">LinearRange</a>(-std::numeric_limits<double>::infinity(), lhs - rhs, 0);</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span>}</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83"> 180</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_range.html">LinearRange</a> <a class="code hl_function" href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operator==</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& lhs, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classoperations__research_1_1_linear_range.html">LinearRange</a>(0, lhs - rhs, 0);</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span>}</div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#ab7cf6c0298d3fa64034fe8d1eff683f6"> 183</a></span><a class="code hl_class" href="classoperations__research_1_1_linear_range.html">LinearRange</a> <a class="code hl_function" href="namespaceoperations__research.html#ab7cf6c0298d3fa64034fe8d1eff683f6">operator>=</a>(<span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& lhs, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>& rhs) {</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classoperations__research_1_1_linear_range.html">LinearRange</a>(0, lhs - rhs, std::numeric_limits<double>::infinity());</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span>}</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0"><div class="ttname"><a href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a></div><div class="ttdeci">#define DCHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00891">base/logging.h:891</a></div></div>
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<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00889">base/logging.h:889</a></div></div>
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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_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_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#l01087">linear_solver.h:1087</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#l01874">expr_array.cc:1874</a></div></div>
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<div class="ttc" id="aexpr__array_8cc_html_abda708e4a6f0de72a842382f919a7c31"><div class="ttname"><a href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a></div><div class="ttdeci">int64_t coef</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01875">expr_array.cc:1875</a></div></div>
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<div class="ttc" id="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00126">gscip_solver.cc:126</a></div></div>
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<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00125">gscip_solver.cc:125</a></div></div>
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<div class="ttc" id="ainterval_8cc_html_adeaf787e3a80bbf698cb9e26264474e0"><div class="ttname"><a href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a></div><div class="ttdeci">const int64_t offset_</div><div class="ttdef"><b>Definition:</b> <a href="interval_8cc_source.html#l02108">interval.cc:2108</a></div></div>
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<div class="ttc" id="alinear__expr_8h_html"><div class="ttname"><a href="linear__expr_8h.html">linear_expr.h</a></div><div class="ttdoc">This file allows you to write natural code (like a mathematical equation) to model optimization probl...</div></div>
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<div class="ttc" id="alinear__solver_8h_html"><div class="ttname"><a href="linear__solver_8h.html">linear_solver.h</a></div><div class="ttdoc">A C++ wrapper that provides a simple and unified interface to several linear programming and mixed in...</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">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>
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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#l01094">constraint_solver/assignment.cc:1094</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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