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<div class="title">math_opt.h</div> </div>
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<a href="math__opt_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// A C++ API for building optimization problems.</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// Warning: Variable, LinearConstraint, and Objective are value types, see</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// "Memory Model" below.</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">// A simple example:</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">// Model the problem:</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// max 2.0 * x + y</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// s.t. x + y <= 1.5</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// x in {0.0, 1.0}</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// y in [0.0, 2.5]</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// using ::operations_research::math_opt::LinearConstraint;</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// using ::operations_research::math_opt::Objective;</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// using ::operations_research::math_opt::MathOpt;</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// using ::operations_research::math_opt::Result;</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// using ::operations_research::math_opt::SolveParameters;</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// using ::operations_research::math_opt::SolveResultProto;</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// using ::operations_research::math_opt::Variable;</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// Version 1:</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// MathOpt optimizer(operations_research::math_opt::SOLVER_TYPE_GSCIP,</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// "my_model");</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// const Variable x = optimizer.AddBinaryVariable("x");</span></div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// const Variable y = optimizer.AddContinuousVariable(0.0, 2.5, "y");</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// const LinearConstraint c = optimizer.AddLinearConstraint(</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// -std::numeric_limits<double>::infinity(), 1.5, "c");</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// c.set_coefficient(x, 1.0);</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// c.set_coefficient(y, 1.0);</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// const Objective obj = optimizer.objective();</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// obj.set_linear_coefficient(x, 2.0);</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// obj.set_linear_coefficient(y, 1.0);</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// obj.set_maximize();</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// const Result result = optimizer.Solve(SolveParametersProto()).value();</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// for (const auto& warning : result.warnings) {</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// std::cerr << "Solver warning: " << warning << std::endl;</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// }</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// CHECK_EQ(result.termination_reason, SolveResultProto::OPTIMAL)</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// << result.termination_detail;</span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// // The following code will print:</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// // objective value: 2.5</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// // value for variable x: 1</span></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// std::cout << "objective value: " << result.objective_value()</span></div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// << "\nvalue for variable x: " << result.variable_values().at(x)</span></div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// << std::endl;</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// Version 2 (with linear expressions):</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// MathOpt optimizer(operations_research::math_opt::SOLVER_TYPE_GSCIP,</span></div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// "my_model");</span></div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// const Variable x = optimizer.AddBinaryVariable("x");</span></div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// const Variable y = optimizer.AddContinuousVariable(0.0, 2.5, "y");</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// // We can directly use linear combinations of variables ...</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// optimizer.AddLinearConstraint(x + y <= 1.5, "c");</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// // ... or build them incrementally.</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// LinearExpression objective_expression;</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// objective_expression += 2*x;</span></div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// objective_expression += y;</span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// optimizer.objective().Maximize(objective_expression);</span></div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// const Result result = optimizer.Solve(SolveParametersProto()).value();</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// for (const auto& warning : result.warnings) {</span></div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// std::cerr << "Solver warning: " << warning << std::endl;</span></div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// }</span></div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment">// CHECK_EQ(result.termination_reason, SolveResultProto::OPTIMAL)</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// << result.termination_detail;</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// // The following code will print:</span></div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// // objective value: 2.5</span></div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// // value for variable x: 1</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// std::cout << "objective value: " << result.objective_value()</span></div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// << "\nvalue for variable x: " << result.variable_values().at(x)</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// << std::endl;</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// Memory model:</span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// Variable, LinearConstraint, and Objective are all value types that</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// represent references to the underlying MathOpt object. They don't hold any of</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// the actual model data, they can be copied, and they should be passed by</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// value. They can be regenerated arbitrarily from MathOpt. MathOpt holds all</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// the data.</span></div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// Performance:</span></div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// This class is a thin wrapper around IndexedModel (for incrementally building</span></div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// the model and reading it back, and producing the Model proto) and Solver (for</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// consuming the Model proto to solve the optimization problem). Operations for</span></div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// building/reading/modifying the problem typically run in O(read/write size)</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// and rely on hashing, see the indexed model documentation for details. At</span></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// solve time (if you are solving locally) beware that there will be (at least)</span></div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// three copies of the model in memory, IndexedModel, the Model proto, and the</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// underlying solver's copy(/ies). Note that the Model proto is reclaimed before</span></div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// the underlying solver begins solving.</span></div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="preprocessor">#ifndef OR_TOOLS_MATH_OPT_CPP_MATH_OPT_H_</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="preprocessor">#define OR_TOOLS_MATH_OPT_CPP_MATH_OPT_H_</span></div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="preprocessor">#include <functional></span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor">#include <memory></span></div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="preprocessor">#include <string></span></div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="preprocessor">#include <utility></span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</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 name="l00118"></a><span class="lineno"> 118</span> <span class="preprocessor">#include "absl/memory/memory.h"</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="preprocessor">#include "absl/status/statusor.h"</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="preprocessor">#include "absl/strings/string_view.h"</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="preprocessor">#include "<a class="code" href="callback_8h.html">ortools/math_opt/cpp/callback.h</a>"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="preprocessor">#include "<a class="code" href="math__opt_2cpp_2linear__constraint_8h.html">ortools/math_opt/cpp/linear_constraint.h</a>"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="preprocessor">#include "<a class="code" href="model__solve__parameters_8h.html">ortools/math_opt/cpp/model_solve_parameters.h</a>"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="preprocessor">#include "<a class="code" href="objective_8h.html">ortools/math_opt/cpp/objective.h</a>"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="preprocessor">#include "<a class="code" href="result_8h.html">ortools/math_opt/cpp/result.h</a>"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="preprocessor">#include "<a class="code" href="variable__and__expressions_8h.html">ortools/math_opt/cpp/variable_and_expressions.h</a>"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="preprocessor">#include "<a class="code" href="indexed__model_8h.html">ortools/math_opt/indexed_model.h</a>"</span></div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="preprocessor">#include "ortools/math_opt/model.pb.h"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="preprocessor">#include "ortools/math_opt/parameters.pb.h"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="preprocessor">#include "ortools/math_opt/result.pb.h"</span> <span class="comment">// IWYU pragma: export</span></div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="preprocessor">#include "<a class="code" href="solver_8h.html">ortools/math_opt/solver.h</a>"</span></div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  </div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">namespace </span>math_opt {</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// Models and solves mathematical optimization problems.</span></div>
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<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html"> 137</a></span> <span class="keyword">class </span><a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html">MathOpt</a> {</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ae4c55c5c20d8aefba960adc0e0a3f2"> 139</a></span>  <span class="keyword">using</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ae4c55c5c20d8aefba960adc0e0a3f2">Callback</a> = std::function<<a class="code" href="structoperations__research_1_1math__opt_1_1_callback_result.html">CallbackResult</a>(<a class="code" href="structoperations__research_1_1math__opt_1_1_callback_data.html">CallbackData</a>)>;</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
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<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a1830709597314a7461c8199daaa41856"> 141</a></span>  <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a1830709597314a7461c8199daaa41856">MathOpt</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html">MathOpt</a>&) = <span class="keyword">delete</span>;</div>
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<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a5f7fcc71b9d221cfd6521dc4659a17ae"> 142</a></span>  <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html">MathOpt</a>& <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a5f7fcc71b9d221cfd6521dc4659a17ae">operator=</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html">MathOpt</a>&) = <span class="keyword">delete</span>;</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="comment">// Creates an empty minimization problem.</span></div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a1830709597314a7461c8199daaa41856">MathOpt</a>(</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  SolverType solver_type, absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>,</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  SolverInitializerProto solver_initializer = SolverInitializerProto());</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  </div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keyword">inline</span> <span class="keyword">const</span> std::string& <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="comment">// Adds a variable to the model and returns a reference to it.</span></div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">AddVariable</a>(<span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keywordtype">bool</span> is_integer, absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">// Adds a continuous unbounded variable to the model.</span></div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">AddVariable</a>(absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="comment">// Adds an variable to the model with domain {0, 1}.</span></div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a10701aac0fc8b07697b7b84185ceb58b">AddBinaryVariable</a>(absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  </div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// Adds a variable to the model with domain [lower_bound, upper_bound].</span></div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#acb7f8ff128d9158bfb308e44ddb2b59e">AddContinuousVariable</a>(<span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="comment">// Adds a variable to the model that can take integer values between</span></div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="comment">// lower_bound and upper_bound (inclusive).</span></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a58ff87cab319d4eebeee3b00a1caf7fe">AddIntegerVariable</a>(<span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  </div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="comment">// Removes a variable from the model.</span></div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">// It is an error to use any reference to this variable after this operation.</span></div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="comment">// Runs in O(#constraints containing the variable).</span></div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ad20f15fe1d077785e67f69c5093275">DeleteVariable</a>(<a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> variable);</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  </div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// The number of variables in the model.</span></div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// Equal to the number of variables created minus the number of variables</span></div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">// deleted.</span></div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a663e6fd290b30b948686c43cea697140">num_variables</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  </div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="comment">// The returned id of the next call to AddVariable.</span></div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="comment">// Equal to the number of variables created.</span></div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ab32fde20eda52599f9bb970791ac3c13">next_variable_id</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  </div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="comment">// Returns true if this id has been created and not yet deleted.</span></div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a7e6d752574c699fa70a701b3234a9c94">has_variable</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="comment">// Returns all the existing (created and not deleted) variables in the model</span></div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="comment">// in an arbitrary order.</span></div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  std::vector<Variable> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ab4051c29b35a40867a5535411048aeb5">Variables</a>();</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  </div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="comment">// Returns all the existing (created and not deleted) variables in the model,</span></div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// sorted by id.</span></div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  std::vector<Variable> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#af34e933e54f4bffbec475f8c9b6bd680">SortedVariables</a>();</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="comment">// Adds a linear constraint to the model with bounds [-inf, +inf].</span></div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222">AddLinearConstraint</a>(absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  </div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="comment">// Adds a linear constraint with bounds [lower_bound, upper_bound].</span></div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222">AddLinearConstraint</a>(<span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="comment">// Adds a linear constraint from the given bounded linear expression.</span></div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="comment">// Usage:</span></div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="comment">// MathOpt model = ...;</span></div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="comment">// const Variable x = ...;</span></div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="comment">// const Variable y = ...;</span></div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="comment">// model.AddLinearConstraint(3 <= 2 * x + y + 1 <= 5, "c");</span></div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="comment">// // The new constraint formula is:</span></div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// // 3 - 1 <= 2 * x + y <= 5 - 1</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="comment">// // Which is:</span></div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="comment">// // 2 <= 2 * x + y <= 4</span></div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="comment">// // since the offset has been removed from bounds.</span></div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="comment">// model.AddLinearConstraint(2 * x + y == x + 5 * z + 3);</span></div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="comment">// model.AddLinearConstraint(x >= 5);</span></div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222">AddLinearConstraint</a>(</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1math__opt_1_1_bounded_linear_expression.html">BoundedLinearExpression</a>& bounded_expr, absl::string_view <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a> = <span class="stringliteral">""</span>);</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  </div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="comment">// Removes a linear constraint from the model.</span></div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// It is an error to use any reference to this linear constraint after this</span></div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// operation. Runs in O(#variables in the linear constraint).</span></div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ac271787c20d68951a329e18f6c1b929d">DeleteLinearConstraint</a>(<a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> constraint);</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  </div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// The number of linear constraints in the model.</span></div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// Equal to the number of linear constraints created minus the number of</span></div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="comment">// linear constraints deleted.</span></div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a2e6856997ce83e9841705b40d7fc626c">num_linear_constraints</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  </div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="comment">// The returned id of the next call to AddLinearConstraint.</span></div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">// Equal to the number of linear constraints created.</span></div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ad3992033bec131439d8244a71db05254">next_linear_constraint_id</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  </div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="comment">// Returns true if this id has been created and not yet deleted.</span></div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#aec3436e3e4759deb764e367c30dc0a51">has_linear_constraint</a>(<span class="keywordtype">int</span> <span class="keywordtype">id</span>) <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  </div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">// Returns all the existing (created and not deleted) linear constraints in</span></div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="comment">// the model in an arbitrary order.</span></div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  std::vector<LinearConstraint> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ae5036b77642e10b20d3f777229e9ac00">LinearConstraints</a>();</div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// Returns all the existing (created and not deleted) linear constraints in</span></div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="comment">// the model sorted by id.</span></div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  std::vector<LinearConstraint> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#aedb366ca679aed4427c01dc799351d8e">SortedLinearConstraints</a>();</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  </div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">inline</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_objective.html">Objective</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#acf6e45e1a7f9b32579c062cf4c7f0b0e">objective</a>();</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  </div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="comment">// Solves the current optimization problem.</span></div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">// A Status error will be returned if there is an unexpected failure in an</span></div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="comment">// underlying solver or for some internal MathOpt errors. Otherwise, check</span></div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="comment">// Result::termination_reason to see if an optimal solution was found.</span></div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="comment">// Memory model: the returned Result owns its own memory (for solutions, solve</span></div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">// stats, etc.), EXPECT for a pointer back to this->model_. As a result:</span></div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="comment">// * Keep this alive to access Result</span></div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="comment">// * Avoid unnecessarily copying Result,</span></div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="comment">// * The result is generally accessible after mutating this, but some care</span></div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="comment">// is needed if Variables or LinearConstraints are added or deleted.</span></div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="comment">// Asserts (using CHECK) that the inputs model_parameters and</span></div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// callback_registration only contain variables and constraints from this</span></div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="comment">// model.</span></div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="comment">//</span></div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">// See callback.h for documentation on callback and callback_registration.</span></div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  absl::StatusOr<Result> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ae403ae9396a74c78c74c0b68bbb5814c">Solve</a>(</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keyword">const</span> SolveParametersProto& solver_parameters,</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1math__opt_1_1_model_solve_parameters.html">ModelSolveParameters</a>& model_parameters = {},</div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keyword">const</span> <a class="code" href="structoperations__research_1_1math__opt_1_1_callback_registration.html">CallbackRegistration</a>& callback_registration = {},</div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ae4c55c5c20d8aefba960adc0e0a3f2">Callback</a> <a class="code" href="gurobi__interface_8cc.html#a6627a3800ac768bb5528ef54c9cace36">callback</a> = <span class="keyword">nullptr</span>);</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  ModelProto <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#aa850c403983019f6676dda010d9ac3a5">ExportModel</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  </div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="comment">// TODO(user): expose a way to efficiently iterate through the nonzeros of</span></div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// the linear constraint matrix.</span></div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// Asserts (with CHECK) that the input pointer is either nullptr or that it</span></div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// points to the same model as model_.</span></div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordtype">void</span> CheckModel(IndexedModel* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keyword">const</span> SolverType solver_type_;</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keyword">const</span> SolverInitializerProto solver_initializer_;</div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">const</span> std::unique_ptr<IndexedModel> model_;</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  std::unique_ptr<Solver> solver_;</div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> };</div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  </div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment">// Inline function implementations</span></div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0dbb3fefcae347277f7ff00be2694007"> 296</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a1830709597314a7461c8199daaa41856">MathOpt::MathOpt</a>(<span class="keyword">const</span> SolverType solver_type, <span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>,</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  SolverInitializerProto solver_initializer)</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  : solver_type_(solver_type),</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  solver_initializer_(std::move(solver_initializer)),</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  model_(<a class="code" href="namespaceabsl.html">absl</a>::make_unique<<a class="code" href="classoperations__research_1_1math__opt_1_1_indexed_model.html">IndexedModel</a>>(<a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>)) {}</div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  </div>
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<div class="line"><a name="l00302"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b"> 302</a></span> <span class="keyword">const</span> std::string& <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">MathOpt::name</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> model_->name(); }</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  </div>
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<div class="line"><a name="l00304"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ad782ae9aca31dbde8e63c320151098e2"> 304</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">MathOpt::AddVariable</a>(<span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a>(model_.get(), model_->AddVariable(<a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>));</div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> }</div>
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<div class="line"><a name="l00307"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778"> 307</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">MathOpt::AddVariable</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, <span class="keyword">const</span> <span class="keywordtype">bool</span> is_integer,</div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a>(model_.get(), model_->AddVariable(<a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  is_integer, <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>));</div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> }</div>
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<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  </div>
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<div class="line"><a name="l00314"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a10701aac0fc8b07697b7b84185ceb58b"> 314</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a10701aac0fc8b07697b7b84185ceb58b">MathOpt::AddBinaryVariable</a>(<span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">AddVariable</a>(0.0, 1.0, <span class="keyword">true</span>, <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>);</div>
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<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> }</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  </div>
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<div class="line"><a name="l00318"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#acb7f8ff128d9158bfb308e44ddb2b59e"> 318</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#acb7f8ff128d9158bfb308e44ddb2b59e">MathOpt::AddContinuousVariable</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">AddVariable</a>(<a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, <span class="keyword">false</span>, <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>);</div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> }</div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  </div>
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<div class="line"><a name="l00324"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a58ff87cab319d4eebeee3b00a1caf7fe"> 324</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a58ff87cab319d4eebeee3b00a1caf7fe">MathOpt::AddIntegerVariable</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">AddVariable</a>(<a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, <span class="keyword">true</span>, <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>);</div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> }</div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  </div>
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<div class="line"><a name="l00330"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ad20f15fe1d077785e67f69c5093275"> 330</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ad20f15fe1d077785e67f69c5093275">MathOpt::DeleteVariable</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html">Variable</a> variable) {</div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(model_.get(), variable.<a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html#a64203ba9d12b2e9827e18cf8e8c30ab2">model</a>());</div>
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<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  model_->DeleteVariable(variable.<a class="code" href="classoperations__research_1_1math__opt_1_1_variable.html#afb60247d45f3b1af36cf247ea88ee42f">typed_id</a>());</div>
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<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> }</div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  </div>
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<div class="line"><a name="l00335"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a663e6fd290b30b948686c43cea697140"> 335</a></span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a663e6fd290b30b948686c43cea697140">MathOpt::num_variables</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> model_->num_variables(); }</div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  </div>
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<div class="line"><a name="l00337"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ab32fde20eda52599f9bb970791ac3c13"> 337</a></span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ab32fde20eda52599f9bb970791ac3c13">MathOpt::next_variable_id</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">return</span> model_->next_variable_id().value();</div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> }</div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  </div>
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<div class="line"><a name="l00341"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a7e6d752574c699fa70a701b3234a9c94"> 341</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a7e6d752574c699fa70a701b3234a9c94">MathOpt::has_variable</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span>)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keywordflow">return</span> model_->has_variable(VariableId(<span class="keywordtype">id</span>));</div>
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<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> }</div>
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<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  </div>
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<div class="line"><a name="l00345"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222"> 345</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222">MathOpt::AddLinearConstraint</a>(<span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a>(model_.get(), model_->AddLinearConstraint(<a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>));</div>
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<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> }</div>
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<div class="line"><a name="l00348"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a11e3793792243882f4734ce88ad06dcb"> 348</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222">MathOpt::AddLinearConstraint</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>,</div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keyword">const</span> absl::string_view <a class="code" href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a>) {</div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a>(model_.get(), model_->AddLinearConstraint(</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">name</a>));</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> }</div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  </div>
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<div class="line"><a name="l00355"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ac271787c20d68951a329e18f6c1b929d"> 355</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ac271787c20d68951a329e18f6c1b929d">MathOpt::DeleteLinearConstraint</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">LinearConstraint</a> constraint) {</div>
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<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(model_.get(), constraint.<a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html#a64203ba9d12b2e9827e18cf8e8c30ab2">model</a>());</div>
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<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  model_->DeleteLinearConstraint(constraint.<a class="code" href="classoperations__research_1_1math__opt_1_1_linear_constraint.html#a88923ea053b4651fc41243579e6d9ede">typed_id</a>());</div>
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<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> }</div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  </div>
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<div class="line"><a name="l00360"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a2e6856997ce83e9841705b40d7fc626c"> 360</a></span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#a2e6856997ce83e9841705b40d7fc626c">MathOpt::num_linear_constraints</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordflow">return</span> model_->num_linear_constraints();</div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> }</div>
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<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  </div>
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<div class="line"><a name="l00364"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ad3992033bec131439d8244a71db05254"> 364</a></span> <span class="keywordtype">int</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#ad3992033bec131439d8244a71db05254">MathOpt::next_linear_constraint_id</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">return</span> model_->next_linear_constraint_id().value();</div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> }</div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  </div>
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<div class="line"><a name="l00368"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#aec3436e3e4759deb764e367c30dc0a51"> 368</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#aec3436e3e4759deb764e367c30dc0a51">MathOpt::has_linear_constraint</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span>)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">return</span> model_->has_linear_constraint(LinearConstraintId(<span class="keywordtype">id</span>));</div>
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<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> }</div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  </div>
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<div class="line"><a name="l00372"></a><span class="lineno"><a class="line" href="classoperations__research_1_1math__opt_1_1_math_opt.html#acf6e45e1a7f9b32579c062cf4c7f0b0e"> 372</a></span> <a class="code" href="classoperations__research_1_1math__opt_1_1_objective.html">Objective</a> <a class="code" href="classoperations__research_1_1math__opt_1_1_math_opt.html#acf6e45e1a7f9b32579c062cf4c7f0b0e">MathOpt::objective</a>() { <span class="keywordflow">return</span> <a class="code" href="classoperations__research_1_1math__opt_1_1_objective.html">Objective</a>(model_.get()); }</div>
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<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  </div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> } <span class="comment">// namespace math_opt</span></div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  </div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_MATH_OPT_CPP_MATH_OPT_H_</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#l00705">base/logging.h:705</a></div></div>
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<div class="ttc" id="acallback_8h_html"><div class="ttname"><a href="callback_8h.html">callback.h</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_indexed_model_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_indexed_model.html">operations_research::math_opt::IndexedModel</a></div><div class="ttdef"><b>Definition:</b> <a href="indexed__model_8h_source.html#l00148">indexed_model.h:148</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_linear_constraint_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_linear_constraint.html">operations_research::math_opt::LinearConstraint</a></div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2cpp_2linear__constraint_8h_source.html#l00035">math_opt/cpp/linear_constraint.h:35</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_linear_constraint_html_a64203ba9d12b2e9827e18cf8e8c30ab2"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_linear_constraint.html#a64203ba9d12b2e9827e18cf8e8c30ab2">operations_research::math_opt::LinearConstraint::model</a></div><div class="ttdeci">IndexedModel * model() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2cpp_2linear__constraint_8h_source.html#l00098">math_opt/cpp/linear_constraint.h:98</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_linear_constraint_html_a88923ea053b4651fc41243579e6d9ede"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_linear_constraint.html#a88923ea053b4651fc41243579e6d9ede">operations_research::math_opt::LinearConstraint::typed_id</a></div><div class="ttdeci">LinearConstraintId typed_id() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2cpp_2linear__constraint_8h_source.html#l00096">math_opt/cpp/linear_constraint.h:96</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html">operations_research::math_opt::MathOpt</a></div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00137">math_opt.h:137</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a0ad20f15fe1d077785e67f69c5093275"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ad20f15fe1d077785e67f69c5093275">operations_research::math_opt::MathOpt::DeleteVariable</a></div><div class="ttdeci">void DeleteVariable(Variable variable)</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00330">math_opt.h:330</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a0ae4c55c5c20d8aefba960adc0e0a3f2"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a0ae4c55c5c20d8aefba960adc0e0a3f2">operations_research::math_opt::MathOpt::Callback</a></div><div class="ttdeci">std::function< CallbackResult(CallbackData)> Callback</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00139">math_opt.h:139</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a10701aac0fc8b07697b7b84185ceb58b"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a10701aac0fc8b07697b7b84185ceb58b">operations_research::math_opt::MathOpt::AddBinaryVariable</a></div><div class="ttdeci">Variable AddBinaryVariable(absl::string_view name="")</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00314">math_opt.h:314</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a1830709597314a7461c8199daaa41856"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a1830709597314a7461c8199daaa41856">operations_research::math_opt::MathOpt::MathOpt</a></div><div class="ttdeci">MathOpt(const MathOpt &)=delete</div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a24dcbf29c0d6cd766009a182a6484e3b"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a24dcbf29c0d6cd766009a182a6484e3b">operations_research::math_opt::MathOpt::name</a></div><div class="ttdeci">const std::string & name() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00302">math_opt.h:302</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a2e6856997ce83e9841705b40d7fc626c"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a2e6856997ce83e9841705b40d7fc626c">operations_research::math_opt::MathOpt::num_linear_constraints</a></div><div class="ttdeci">int num_linear_constraints() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00360">math_opt.h:360</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a58ff87cab319d4eebeee3b00a1caf7fe"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a58ff87cab319d4eebeee3b00a1caf7fe">operations_research::math_opt::MathOpt::AddIntegerVariable</a></div><div class="ttdeci">Variable AddIntegerVariable(double lower_bound, double upper_bound, absl::string_view name="")</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00324">math_opt.h:324</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a5f7fcc71b9d221cfd6521dc4659a17ae"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a5f7fcc71b9d221cfd6521dc4659a17ae">operations_research::math_opt::MathOpt::operator=</a></div><div class="ttdeci">MathOpt & operator=(const MathOpt &)=delete</div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a663e6fd290b30b948686c43cea697140"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a663e6fd290b30b948686c43cea697140">operations_research::math_opt::MathOpt::num_variables</a></div><div class="ttdeci">int num_variables() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00335">math_opt.h:335</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a6bb7c904b32900d54a230a3baa210222"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a6bb7c904b32900d54a230a3baa210222">operations_research::math_opt::MathOpt::AddLinearConstraint</a></div><div class="ttdeci">LinearConstraint AddLinearConstraint(absl::string_view name="")</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00345">math_opt.h:345</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_a7e6d752574c699fa70a701b3234a9c94"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#a7e6d752574c699fa70a701b3234a9c94">operations_research::math_opt::MathOpt::has_variable</a></div><div class="ttdeci">bool has_variable(int id) const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00341">math_opt.h:341</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_aa850c403983019f6676dda010d9ac3a5"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#aa850c403983019f6676dda010d9ac3a5">operations_research::math_opt::MathOpt::ExportModel</a></div><div class="ttdeci">ModelProto ExportModel() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8cc_source.html#l00131">math_opt.cc:131</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_ab32fde20eda52599f9bb970791ac3c13"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#ab32fde20eda52599f9bb970791ac3c13">operations_research::math_opt::MathOpt::next_variable_id</a></div><div class="ttdeci">int next_variable_id() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00337">math_opt.h:337</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_ab4051c29b35a40867a5535411048aeb5"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#ab4051c29b35a40867a5535411048aeb5">operations_research::math_opt::MathOpt::Variables</a></div><div class="ttdeci">std::vector< Variable > Variables()</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8cc_source.html#l00095">math_opt.cc:95</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_ac271787c20d68951a329e18f6c1b929d"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#ac271787c20d68951a329e18f6c1b929d">operations_research::math_opt::MathOpt::DeleteLinearConstraint</a></div><div class="ttdeci">void DeleteLinearConstraint(LinearConstraint constraint)</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00355">math_opt.h:355</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_acb7f8ff128d9158bfb308e44ddb2b59e"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#acb7f8ff128d9158bfb308e44ddb2b59e">operations_research::math_opt::MathOpt::AddContinuousVariable</a></div><div class="ttdeci">Variable AddContinuousVariable(double lower_bound, double upper_bound, absl::string_view name="")</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00318">math_opt.h:318</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_acf6e45e1a7f9b32579c062cf4c7f0b0e"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#acf6e45e1a7f9b32579c062cf4c7f0b0e">operations_research::math_opt::MathOpt::objective</a></div><div class="ttdeci">Objective objective()</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00372">math_opt.h:372</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_ad3992033bec131439d8244a71db05254"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#ad3992033bec131439d8244a71db05254">operations_research::math_opt::MathOpt::next_linear_constraint_id</a></div><div class="ttdeci">int next_linear_constraint_id() const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00364">math_opt.h:364</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_ae403ae9396a74c78c74c0b68bbb5814c"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#ae403ae9396a74c78c74c0b68bbb5814c">operations_research::math_opt::MathOpt::Solve</a></div><div class="ttdeci">absl::StatusOr< Result > Solve(const SolveParametersProto &solver_parameters, const ModelSolveParameters &model_parameters={}, const CallbackRegistration &callback_registration={}, Callback callback=nullptr)</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8cc_source.html#l00037">math_opt.cc:37</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_ae5036b77642e10b20d3f777229e9ac00"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#ae5036b77642e10b20d3f777229e9ac00">operations_research::math_opt::MathOpt::LinearConstraints</a></div><div class="ttdeci">std::vector< LinearConstraint > LinearConstraints()</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8cc_source.html#l00113">math_opt.cc:113</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_aec3436e3e4759deb764e367c30dc0a51"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#aec3436e3e4759deb764e367c30dc0a51">operations_research::math_opt::MathOpt::has_linear_constraint</a></div><div class="ttdeci">bool has_linear_constraint(int id) const</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00368">math_opt.h:368</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_aedb366ca679aed4427c01dc799351d8e"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#aedb366ca679aed4427c01dc799351d8e">operations_research::math_opt::MathOpt::SortedLinearConstraints</a></div><div class="ttdeci">std::vector< LinearConstraint > SortedLinearConstraints()</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8cc_source.html#l00122">math_opt.cc:122</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_af34e933e54f4bffbec475f8c9b6bd680"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#af34e933e54f4bffbec475f8c9b6bd680">operations_research::math_opt::MathOpt::SortedVariables</a></div><div class="ttdeci">std::vector< Variable > SortedVariables()</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8cc_source.html#l00104">math_opt.cc:104</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_math_opt_html_afaf31c51cd17e8305a832a1884d05778"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_math_opt.html#afaf31c51cd17e8305a832a1884d05778">operations_research::math_opt::MathOpt::AddVariable</a></div><div class="ttdeci">Variable AddVariable(double lower_bound, double upper_bound, bool is_integer, absl::string_view name="")</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_8h_source.html#l00307">math_opt.h:307</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_objective_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_objective.html">operations_research::math_opt::Objective</a></div><div class="ttdef"><b>Definition:</b> <a href="objective_8h_source.html#l00029">objective.h:29</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#l00101">variable_and_expressions.h:101</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_variable_html_a64203ba9d12b2e9827e18cf8e8c30ab2"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_variable.html#a64203ba9d12b2e9827e18cf8e8c30ab2">operations_research::math_opt::Variable::model</a></div><div class="ttdeci">IndexedModel * model() const</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00601">variable_and_expressions.h:601</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_variable_html_afb60247d45f3b1af36cf247ea88ee42f"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_variable.html#afb60247d45f3b1af36cf247ea88ee42f">operations_research::math_opt::Variable::typed_id</a></div><div class="ttdeci">VariableId typed_id() const</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l00599">variable_and_expressions.h:599</a></div></div>
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<div class="ttc" id="adefault__search_8cc_html_ac673bc430bdc3fdaa09f7becf98ef267"><div class="ttname"><a href="default__search_8cc.html#ac673bc430bdc3fdaa09f7becf98ef267">name</a></div><div class="ttdeci">const std::string name</div><div class="ttdef"><b>Definition:</b> <a href="default__search_8cc_source.html#l00813">default_search.cc:813</a></div></div>
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<div class="ttc" id="agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00126">gscip_solver.cc:126</a></div></div>
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<div class="ttc" id="agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00125">gscip_solver.cc:125</a></div></div>
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<div class="ttc" id="agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00273">gurobi_interface.cc:273</a></div></div>
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<div class="ttc" id="agurobi__interface_8cc_html_a6627a3800ac768bb5528ef54c9cace36"><div class="ttname"><a href="gurobi__interface_8cc.html#a6627a3800ac768bb5528ef54c9cace36">callback</a></div><div class="ttdeci">MPCallback * callback</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00514">gurobi_interface.cc:514</a></div></div>
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<div class="ttc" id="aindexed__model_8h_html"><div class="ttname"><a href="indexed__model_8h.html">indexed_model.h</a></div></div>
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<div class="ttc" id="amath__opt_2cpp_2linear__constraint_8h_html"><div class="ttname"><a href="math__opt_2cpp_2linear__constraint_8h.html">linear_constraint.h</a></div></div>
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<div class="ttc" id="amodel__solve__parameters_8h_html"><div class="ttname"><a href="model__solve__parameters_8h.html">model_solve_parameters.h</a></div></div>
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<div class="ttc" id="anamespaceabsl_html"><div class="ttname"><a href="namespaceabsl.html">absl</a></div><div class="ttdef"><b>Definition:</b> <a href="cleanup_8h_source.html#l00022">cleanup.h:22</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="aobjective_8h_html"><div class="ttname"><a href="objective_8h.html">objective.h</a></div></div>
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<div class="ttc" id="aresult_8h_html"><div class="ttname"><a href="result_8h.html">result.h</a></div></div>
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<div class="ttc" id="asolver_8h_html"><div class="ttname"><a href="solver_8h.html">solver.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#l00465">variable_and_expressions.h:465</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_callback_data_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_callback_data.html">operations_research::math_opt::CallbackData</a></div><div class="ttdef"><b>Definition:</b> <a href="callback_8h_source.html#l00083">callback.h:83</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_callback_registration_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_callback_registration.html">operations_research::math_opt::CallbackRegistration</a></div><div class="ttdef"><b>Definition:</b> <a href="callback_8h_source.html#l00129">callback.h:129</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_callback_result_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_callback_result.html">operations_research::math_opt::CallbackResult</a></div><div class="ttdef"><b>Definition:</b> <a href="callback_8h_source.html#l00160">callback.h:160</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_model_solve_parameters_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_model_solve_parameters.html">operations_research::math_opt::ModelSolveParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="model__solve__parameters_8h_source.html#l00032">model_solve_parameters.h:32</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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