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<div class="headertitle"><div class="title">variable_and_expressions.cc</div></div>
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<a href="variable__and__expressions_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="variable__and__expressions_8h.html">ortools/math_opt/cpp/variable_and_expressions.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 <cmath></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <utility></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "absl/base/attributes.h"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</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="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "<a class="code" href="strong__int_8h.html">ortools/base/strong_int.h</a>"</span></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"> 26</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="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research_1_1math__opt.html">math_opt</a> {</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645"> 29</a></span><span class="keyword">constexpr</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">kInf</a> = std::numeric_limits<double>::infinity();</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><span class="preprocessor">#ifdef MATH_OPT_USE_EXPRESSION_COUNTERS</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_linear_expression.html#acd9b7fb9340f4d4962ba0e523f331fef">LinearExpression::LinearExpression</a>() { ++num_calls_default_constructor_; }</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_linear_expression.html#acd9b7fb9340f4d4962ba0e523f331fef">LinearExpression::LinearExpression</a>(<span class="keyword">const</span> LinearExpression& other)</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> : terms_(other.terms_), <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>(other.<a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>) {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> ++num_calls_copy_constructor_;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</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>LinearExpression::LinearExpression(LinearExpression&& other)</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> : terms_(<a class="code hl_namespace" href="namespacestd.html">std</a>::move(other.terms_)),</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>(<a class="code hl_namespace" href="namespacestd.html">std</a>::exchange(other.<a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>, 0.0)) {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> ++num_calls_move_constructor_;</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> </div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span>LinearExpression& LinearExpression::operator=(<span class="keyword">const</span> LinearExpression& other) {</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> terms_ = other.terms_;</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a> = other.offset_;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>}</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> LinearExpression::num_calls_default_constructor_ = 0;</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span> LinearExpression::num_calls_copy_constructor_ =</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> 0;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span> LinearExpression::num_calls_move_constructor_ =</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> 0;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> LinearExpression::num_calls_initializer_list_constructor_ = 0;</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><span class="keywordtype">void</span> LinearExpression::ResetCounters() {</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> num_calls_default_constructor_ = 0;</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> num_calls_copy_constructor_ = 0;</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> num_calls_move_constructor_ = 0;</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> num_calls_initializer_list_constructor_ = 0;</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"> 66</span><span class="preprocessor">#endif </span><span class="comment">// MATH_OPT_USE_EXPRESSION_COUNTERS</span></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"><a class="line" href="classoperations__research_1_1math__opt_1_1_linear_expression.html#a22c903e7b46f35670371e44edd8dc6b1"> 68</a></span><span class="keywordtype">double</span> LinearExpression::Evaluate(</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_id_map.html">VariableMap<double></a>& variable_values)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">if</span> (variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>() != <span class="keyword">nullptr</span> && storage() != <span class="keyword">nullptr</span>) {</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>(), storage())</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> << <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt_1_1internal.html#a9d4bedb453e652d220a0e686acdcc4dc">internal::kObjectsFromOtherModelStorage</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> <span class="keywordtype">double</span> result = <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>;</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [variable_id, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>] : terms_.raw_map()) {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> result += <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> * variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>().at(variable_id);</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span> result;</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> </div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_linear_expression.html#a5519c4be859194dcacd887fbc2042ed4"> 81</a></span><span class="keywordtype">double</span> LinearExpression::EvaluateWithDefaultZero(</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_id_map.html">VariableMap<double></a>& variable_values)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">if</span> (variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>() != <span class="keyword">nullptr</span> && storage() != <span class="keyword">nullptr</span>) {</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>(), storage())</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> << <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt_1_1internal.html#a9d4bedb453e652d220a0e686acdcc4dc">internal::kObjectsFromOtherModelStorage</a>;</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> }</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordtype">double</span> result = <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>;</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [variable_id, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>] : terms_.raw_map()) {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> result +=</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> * <a class="code hl_function" href="namespacegtl.html#a795ebdb62731938c8c31b221f0f074b4">gtl::FindWithDefault</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>(), variable_id);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>}</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="keyword">namespace </span>{</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span><span class="comment">// Streaming formatter for a coefficient of a linear/quadratic term, along with</span></div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="comment">// any leading "+"/"-"'s to connect it with preceding terms in a sum, and</span></div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment">// potentially a "*" postfix. The `is_first` parameter specifies if the term is</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="comment">// the first appearing in the sum, in which case the handling of the +/-</span></div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="comment">// connectors is different.</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="keyword">struct </span>LeadingCoefficientFormatter {</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> LeadingCoefficientFormatter(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>)</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> : <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>), <a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>) {}</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"><a class="line" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587"> 105</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>;</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"><a class="line" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df"> 106</a></span> <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>;</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span>};</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span>std::ostream& <a class="code hl_function" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& out,</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">const</span> LeadingCoefficientFormatter formatter) {</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = formatter.coeff;</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">if</span> (formatter.is_first) {</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> == 1.0) {</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// Do nothing.</span></div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> == -1.0) {</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> out << <span class="stringliteral">"-"</span>;</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> out << <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> << <span class="stringliteral">"*"</span>;</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> == 1.0) {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> out << <span class="stringliteral">" + "</span>;</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> == -1.0) {</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> out << <span class="stringliteral">" - "</span>;</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::isnan(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>)) {</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> out << <span class="stringliteral">" + nan*"</span>;</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> >= 0) {</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> out << <span class="stringliteral">" + "</span> << <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> << <span class="stringliteral">"*"</span>;</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> out << <span class="stringliteral">" - "</span> << -<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> << <span class="stringliteral">"*"</span>;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> }</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordflow">return</span> out;</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</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><span class="comment">// Streaming formatter for a constant in a linear/quadratic expression.</span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="keyword">struct </span>ConstantFormatter {</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> ConstantFormatter(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>, <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>)</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> : <a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>), <a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>) {}</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"><a class="line" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254"> 140</a></span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>;</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a>;</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span>};</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>std::ostream& <a class="code hl_function" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& out, <span class="keyword">const</span> ConstantFormatter formatter) {</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a> = formatter.constant;</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">if</span> (formatter.is_first) {</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> out << <a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>;</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a> == 0) {</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// Do nothing.</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::isnan(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>)) {</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> out << <span class="stringliteral">" + nan"</span>;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a> > 0) {</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> out << <span class="stringliteral">" + "</span> << <a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>;</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> out << <span class="stringliteral">" - "</span> << -<a class="code hl_variable" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>;</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> }</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">return</span> out;</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span>}</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span>} <span class="comment">// namespace</span></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="classoperations__research_1_1math__opt_1_1_linear_expression.html#abb0508218b0d990f1374e2d0bb243478"> 162</a></span>std::ostream& <a class="code hl_function" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& ostr,</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_linear_expression.html">LinearExpression</a>& expression) {</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// TODO(b/169415597): improve linear expression format:</span></div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">// - use bijective formatting in base10 of the double factors.</span></div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="comment">// - make sure to quote the variable name so that we support:</span></div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="comment">// * variable names contains +, -, ...</span></div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// * variable names resembling anonymous variable names.</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">const</span> std::vector<Variable> sorted_variables = expression.terms_.SortedKeys();</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordtype">bool</span> first = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> v : sorted_variables) {</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = expression.terms_.at(v);</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> != 0) {</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> ostr << LeadingCoefficientFormatter(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, first) << v;</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> first = <span class="keyword">false</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"> 177</span> }</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> ostr << ConstantFormatter(expression.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_linear_expression.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>(), first);</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"> 180</span> <span class="keywordflow">return</span> ostr;</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span>}</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_1_1math__opt.html#a5877f60f4ab194d91ef677f77cc2f3a1"> 183</a></span>std::ostream& <a class="code hl_function" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& ostr,</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html">BoundedLinearExpression</a>& bounded_expression) {</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// TODO(b/170991498): use bijective conversion from double to base-10 string</span></div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// to make sure we can reproduce bugs.</span></div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keyword">const</span> <span class="keywordtype">double</span> lb = bounded_expression.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>;</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ub = bounded_expression.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>;</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keywordflow">if</span> (lb == ub) {</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> ostr << bounded_expression.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a4a753905fdb2765209204ba37e6acc8d">expression</a> << <span class="stringliteral">" = "</span> << lb;</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (lb == -<a class="code hl_variable" href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">kInf</a>) {</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> ostr << bounded_expression.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a4a753905fdb2765209204ba37e6acc8d">expression</a> << <span class="stringliteral">" ≤ "</span> << ub;</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ub == <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">kInf</a>) {</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> ostr << bounded_expression.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a4a753905fdb2765209204ba37e6acc8d">expression</a> << <span class="stringliteral">" ≥ "</span> << lb;</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> ostr << lb << <span class="stringliteral">" ≤ "</span> << bounded_expression.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a4a753905fdb2765209204ba37e6acc8d">expression</a> << <span class="stringliteral">" ≤ "</span> << ub;</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> }</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">return</span> ostr;</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span>}</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a22c903e7b46f35670371e44edd8dc6b1"> 201</a></span><span class="keywordtype">double</span> QuadraticExpression::Evaluate(</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_id_map.html">VariableMap<double></a>& variable_values)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">if</span> (variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>() != <span class="keyword">nullptr</span> && storage() != <span class="keyword">nullptr</span>) {</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>(), storage())</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> << <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt_1_1internal.html#a9d4bedb453e652d220a0e686acdcc4dc">internal::kObjectsFromOtherModelStorage</a>;</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> }</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="keywordtype">double</span> result = offset();</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [variable_id, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>] : linear_terms_.raw_map()) {</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> result += <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> * variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>().at(variable_id);</div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> }</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a>, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>] : quadratic_terms_.raw_map()) {</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> result += <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> * variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>().at(<a class="code hl_variable" href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a>.first) *</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>().at(<a class="code hl_variable" href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a>.second);</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> }</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span>}</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> </div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a5519c4be859194dcacd887fbc2042ed4"> 218</a></span><span class="keywordtype">double</span> QuadraticExpression::EvaluateWithDefaultZero(</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_id_map.html">VariableMap<double></a>& variable_values)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keywordflow">if</span> (variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>() != <span class="keyword">nullptr</span> && storage() != <span class="keyword">nullptr</span>) {</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">storage</a>(), storage())</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> << <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt_1_1internal.html#a9d4bedb453e652d220a0e686acdcc4dc">internal::kObjectsFromOtherModelStorage</a>;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> }</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordtype">double</span> result = offset();</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [variable_id, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>] : linear_terms_.raw_map()) {</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> result +=</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> * <a class="code hl_function" href="namespacegtl.html#a795ebdb62731938c8c31b221f0f074b4">gtl::FindWithDefault</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>(), variable_id);</div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> }</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& [<a class="code hl_variable" href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a>, <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a>] : quadratic_terms_.raw_map()) {</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> result +=</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <a class="code hl_variable" href="expr__array_8cc.html#abda708e4a6f0de72a842382f919a7c31">coef</a> *</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_function" href="namespacegtl.html#a795ebdb62731938c8c31b221f0f074b4">gtl::FindWithDefault</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>(), <a class="code hl_variable" href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a>.first) *</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <a class="code hl_function" href="namespacegtl.html#a795ebdb62731938c8c31b221f0f074b4">gtl::FindWithDefault</a>(variable_values.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">raw_map</a>(), <a class="code hl_variable" href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a>.second);</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span>}</div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a371360c4e5804437ced9fc37a83f953e"> 238</a></span>std::ostream& <a class="code hl_function" href="namespaceoperations__research.html#a51e0728b2f50b8aa26f3115138b8ff1b">operator<<</a>(std::ostream& ostr, <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html">QuadraticExpression</a>& expr) {</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="comment">// TODO(b/169415597): improve quadratic expression formatting. See b/170991498</span></div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="comment">// for desired improvements for LinearExpression streaming which are also</span></div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// applicable here.</span></div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordtype">bool</span> first = <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> v : expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a56b7ada1a7367adab3c51ed4844506b3">quadratic_terms</a>().SortedKeys()) {</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a56b7ada1a7367adab3c51ed4844506b3">quadratic_terms</a>().at(v);</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> != 0) {</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> ostr << LeadingCoefficientFormatter(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, first);</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> first = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> }</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> first_variable(expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a56b7ada1a7367adab3c51ed4844506b3">quadratic_terms</a>().storage(),</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> v.typed_id().first);</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">const</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> second_variable(expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a56b7ada1a7367adab3c51ed4844506b3">quadratic_terms</a>().storage(),</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> v.typed_id().second);</div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordflow">if</span> (first_variable == second_variable) {</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> ostr << first_variable << <span class="stringliteral">"²"</span>;</div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> ostr << first_variable << <span class="stringliteral">"*"</span> << second_variable;</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> }</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> }</div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> v : expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a6606b1f759b723d280ed0bcdf916369b">linear_terms</a>().SortedKeys()) {</div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> = expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a6606b1f759b723d280ed0bcdf916369b">linear_terms</a>().at(v);</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a> != 0) {</div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> ostr << LeadingCoefficientFormatter(<a class="code hl_variable" href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a>, first) << v;</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> first = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> }</div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> }</div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> ostr << ConstantFormatter(expr.<a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a>(), first);</div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="keywordflow">return</span> ostr;</div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span>}</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span><span class="preprocessor">#ifdef MATH_OPT_USE_EXPRESSION_COUNTERS</span></div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span>QuadraticExpression::QuadraticExpression() { ++num_calls_default_constructor_; }</div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> </div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span>QuadraticExpression::QuadraticExpression(<span class="keyword">const</span> QuadraticExpression& other)</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> : quadratic_terms_(other.quadratic_terms_),</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> linear_terms_(other.linear_terms_),</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>(other.<a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>) {</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> ++num_calls_copy_constructor_;</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span>}</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span><a class="code hl_function" href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a5f35d1f7715a9068fd0bc9723619208f">QuadraticExpression::QuadraticExpression</a>(QuadraticExpression&& other)</div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> : quadratic_terms_(<a class="code hl_namespace" href="namespacestd.html">std</a>::move(other.quadratic_terms_)),</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> linear_terms_(<a class="code hl_namespace" href="namespacestd.html">std</a>::move(other.linear_terms_)),</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>(<a class="code hl_namespace" href="namespacestd.html">std</a>::exchange(other.<a class="code hl_variable" href="interval_8cc.html#adeaf787e3a80bbf698cb9e26264474e0">offset_</a>, 0.0)) {</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> ++num_calls_move_constructor_;</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span>}</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> </div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span>QuadraticExpression& QuadraticExpression::operator=(</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keyword">const</span> QuadraticExpression& other) {</div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> quadratic_terms_ = other.quadratic_terms_;</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> linear_terms_ = other.linear_terms_;</div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> offset_ = other.offset_;</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span>}</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> </div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> QuadraticExpression::num_calls_default_constructor_ = 0;</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> QuadraticExpression::num_calls_copy_constructor_ = 0;</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> QuadraticExpression::num_calls_move_constructor_ = 0;</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> QuadraticExpression::num_calls_initializer_list_constructor_ = 0;</div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span>ABSL_CONST_INIT <span class="keyword">thread_local</span> <span class="keywordtype">int</span></div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> QuadraticExpression::num_calls_linear_expression_constructor_ = 0;</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span><span class="keywordtype">void</span> QuadraticExpression::ResetCounters() {</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> num_calls_default_constructor_ = 0;</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> num_calls_copy_constructor_ = 0;</div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> num_calls_move_constructor_ = 0;</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> num_calls_initializer_list_constructor_ = 0;</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> num_calls_linear_expression_constructor_ = 0;</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span>}</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span><span class="preprocessor">#endif </span><span class="comment">// MATH_OPT_USE_EXPRESSION_COUNTERS</span></div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span>} <span class="comment">// namespace math_opt</span></div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</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_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_id_map_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_id_map.html">operations_research::math_opt::IdMap</a></div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00053">id_map.h:53</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_id_map_html_aa50d4a1dc2a67b09e187ba9286d362eb"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_id_map.html#aa50d4a1dc2a67b09e187ba9286d362eb">operations_research::math_opt::IdMap::raw_map</a></div><div class="ttdeci">const StorageType & raw_map() const</div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00227">id_map.h:227</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_id_map_html_af7b0464ca3ebd77bc51804e590e9b503"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_id_map.html#af7b0464ca3ebd77bc51804e590e9b503">operations_research::math_opt::IdMap::storage</a></div><div class="ttdeci">const ModelStorage * storage() const</div><div class="ttdef"><b>Definition:</b> <a href="id__map_8h_source.html#l00228">id_map.h:228</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_linear_expression_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_linear_expression.html">operations_research::math_opt::LinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00193">variable_and_expressions.h:193</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_linear_expression_html_a96ffc785b7b2135c7980c985883ffdd3"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_linear_expression.html#a96ffc785b7b2135c7980c985883ffdd3">operations_research::math_opt::LinearExpression::offset</a></div><div class="ttdeci">double offset() const</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l01254">variable_and_expressions.h:1254</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_linear_expression_html_acd9b7fb9340f4d4962ba0e523f331fef"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_linear_expression.html#acd9b7fb9340f4d4962ba0e523f331fef">operations_research::math_opt::LinearExpression::LinearExpression</a></div><div class="ttdeci">LinearExpression()=default</div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_quadratic_expression_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html">operations_research::math_opt::QuadraticExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00696">variable_and_expressions.h:696</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_quadratic_expression_html_a56b7ada1a7367adab3c51ed4844506b3"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a56b7ada1a7367adab3c51ed4844506b3">operations_research::math_opt::QuadraticExpression::quadratic_terms</a></div><div class="ttdeci">const QuadraticTermMap< double > & quadratic_terms() const</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l01726">variable_and_expressions.h:1726</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_quadratic_expression_html_a5f35d1f7715a9068fd0bc9723619208f"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a5f35d1f7715a9068fd0bc9723619208f">operations_research::math_opt::QuadraticExpression::QuadraticExpression</a></div><div class="ttdeci">QuadraticExpression()=default</div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_quadratic_expression_html_a6606b1f759b723d280ed0bcdf916369b"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a6606b1f759b723d280ed0bcdf916369b">operations_research::math_opt::QuadraticExpression::linear_terms</a></div><div class="ttdeci">const VariableMap< double > & linear_terms() const</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l01722">variable_and_expressions.h:1722</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_quadratic_expression_html_a96ffc785b7b2135c7980c985883ffdd3"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_quadratic_expression.html#a96ffc785b7b2135c7980c985883ffdd3">operations_research::math_opt::QuadraticExpression::offset</a></div><div class="ttdeci">double offset() const</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l01720">variable_and_expressions.h:1720</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_variable_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_variable.html">operations_research::math_opt::Variable</a></div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00115">variable_and_expressions.h:115</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_a461bf2761c1dc652a0671e5e135b763a"><div class="ttname"><a href="gscip__solver_8cc.html#a461bf2761c1dc652a0671e5e135b763a">variable_ids</a></div><div class="ttdeci">absl::Span< const int64_t > variable_ids</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00139">gscip_solver.cc:139</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="amap__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
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<div class="ttc" id="anamespacegtl_html_a795ebdb62731938c8c31b221f0f074b4"><div class="ttname"><a href="namespacegtl.html#a795ebdb62731938c8c31b221f0f074b4">gtl::FindWithDefault</a></div><div class="ttdeci">const Collection::value_type::second_type & FindWithDefault(const Collection &collection, const typename Collection::value_type::first_type &key, const typename Collection::value_type::second_type &value)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00029">map_util.h:29</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_1_1internal_html_a9d4bedb453e652d220a0e686acdcc4dc"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt_1_1internal.html#a9d4bedb453e652d220a0e686acdcc4dc">operations_research::math_opt::internal::kObjectsFromOtherModelStorage</a></div><div class="ttdeci">constexpr absl::string_view kObjectsFromOtherModelStorage</div><div class="ttdef"><b>Definition:</b> <a href="key__types_8h_source.html#l00056">key_types.h:56</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html">operations_research::math_opt</a></div><div class="ttdef"><b>Definition:</b> <a href="arrow__operator__proxy_8h_source.html#l00020">arrow_operator_proxy.h:20</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_ad9f50c9313b35cc1e8887057dc4d9645"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">operations_research::math_opt::kInf</a></div><div class="ttdeci">constexpr double kInf</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00029">variable_and_expressions.cc:29</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">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_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="anamespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdoc">STL namespace.</div></div>
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<div class="ttc" id="astrong__int_8h_html"><div class="ttname"><a href="strong__int_8h.html">strong_int.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_bounded_linear_expression_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html">operations_research::math_opt::BoundedLinearExpression</a></div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00479">variable_and_expressions.h:479</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_bounded_linear_expression_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">operations_research::math_opt::BoundedLinearExpression::upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00504">variable_and_expressions.h:504</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_bounded_linear_expression_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a1e2f9a2352c1d9a6cada9544898fceec">operations_research::math_opt::BoundedLinearExpression::lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00503">variable_and_expressions.h:503</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_bounded_linear_expression_html_a4a753905fdb2765209204ba37e6acc8d"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html#a4a753905fdb2765209204ba37e6acc8d">operations_research::math_opt::BoundedLinearExpression::expression</a></div><div class="ttdeci">LinearExpression expression</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00502">variable_and_expressions.h:502</a></div></div>
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<div class="ttc" id="avariable__and__expressions_8cc_html_a2091cd7d80fdd31762020bce86138587"><div class="ttname"><a href="variable__and__expressions_8cc.html#a2091cd7d80fdd31762020bce86138587">coeff</a></div><div class="ttdeci">const double coeff</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00105">variable_and_expressions.cc:105</a></div></div>
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<div class="ttc" id="avariable__and__expressions_8cc_html_a98c17ae8d99a73259ea78de8c4b66254"><div class="ttname"><a href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a></div><div class="ttdeci">const double constant</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00140">variable_and_expressions.cc:140</a></div></div>
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<div class="ttc" id="avariable__and__expressions_8cc_html_a9b151b7823afeaec2e767a5190d864df"><div class="ttname"><a href="variable__and__expressions_8cc.html#a9b151b7823afeaec2e767a5190d864df">is_first</a></div><div class="ttdeci">const bool is_first</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00106">variable_and_expressions.cc:106</a></div></div>
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<div class="ttc" id="avariable__and__expressions_8h_html"><div class="ttname"><a href="variable__and__expressions_8h.html">variable_and_expressions.h</a></div></div>
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