251 lines
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251 lines
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<h2>C++ Reference</h2>
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<li><a href="../cpp_algorithms/annotated.html">Algorithms</a></li>
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<li><a href="../cpp_sat/annotated.html">CP-SAT</a></li>
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<li><a href="../cpp_graph/annotated.html">Graph</a></li>
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<li><a href="../cpp_routing/annotated.html">Routing</a></li>
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<li><a href="../cpp_linear/annotated.html">Linear solver</a></li>
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<h1 style="color: #145A32;">C++ Reference: CP-SAT</h1>
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<a href="#nested-classes">Classes</a> |
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle"><div class="title">cp_model.h File Reference</div></div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p >This file implements a wrapper around the CP-SAT model proto. </p>
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<p >Here is a minimal example that shows how to create a model, solve it, and print out the solution. </p><div class="fragment"><div class="line">CpModelBuilder cp_model;</div>
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<div class="line">Domain all_animals(0, 20);</div>
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<div class="line">IntVar rabbits = cp_model.NewIntVar(all_animals).WithName(<span class="stringliteral">"rabbits"</span>);</div>
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<div class="line">IntVar pheasants = cp_model.NewIntVar(all_animals).WithName(<span class="stringliteral">"pheasants"</span>);</div>
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<div class="line"> </div>
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<div class="line">cp_model.AddEquality(rabbits + pheasants, 20);</div>
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<div class="line">cp_model.AddEquality(4 * rabbits + 2 * pheasants, 56);</div>
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<div class="line"> </div>
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<div class="line"><span class="keyword">const</span> CpSolverResponse response = <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a09d851f944ab4f305c3d9f8df99b7bf8">Solve</a>(cp_model.Build());</div>
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<div class="line"><span class="keywordflow">if</span> (response.status() == CpSolverStatus::FEASIBLE) {</div>
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<div class="line"> LOG(INFO) << <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab6fe86bc876c281163a053a9581346c3">SolutionIntegerValue</a>(response, rabbits)</div>
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<div class="line"> << <span class="stringliteral">" rabbits, and "</span> << <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ab6fe86bc876c281163a053a9581346c3">SolutionIntegerValue</a>(response, pheasants)</div>
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<div class="line"> << <span class="stringliteral">" pheasants."</span>;</div>
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<div class="line">}</div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a09d851f944ab4f305c3d9f8df99b7bf8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a09d851f944ab4f305c3d9f8df99b7bf8">operations_research::sat::Solve</a></div><div class="ttdeci">CpSolverResponse Solve(const CpModelProto &model_proto)</div><div class="ttdoc">Solves the given CpModelProto and returns an instance of CpSolverResponse.</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab6fe86bc876c281163a053a9581346c3"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab6fe86bc876c281163a053a9581346c3">operations_research::sat::SolutionIntegerValue</a></div><div class="ttdeci">int64_t SolutionIntegerValue(const CpSolverResponse &r, const LinearExpr &expr)</div><div class="ttdoc">Evaluates the value of an linear expression in a solver response.</div></div>
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</div><!-- fragment -->
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<p class="definition">Definition in file <a class="el" href="cp__model_8h_source.html">cp_model.h</a>.</p>
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<p><a href="cp__model_8h_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_bool_var.html">BoolVar</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A Boolean variable. <a href="classoperations__research_1_1sat_1_1_bool_var.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_int_var.html">IntVar</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">An integer variable. <a href="classoperations__research_1_1sat_1_1_int_var.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_linear_expr.html">LinearExpr</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A dedicated container for linear expressions. <a href="classoperations__research_1_1sat_1_1_linear_expr.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_double_linear_expr.html">DoubleLinearExpr</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A dedicated container for linear expressions with double coefficients. <a href="classoperations__research_1_1sat_1_1_double_linear_expr.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_interval_var.html">IntervalVar</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Represents a Interval variable. <a href="classoperations__research_1_1sat_1_1_interval_var.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_constraint.html">Constraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A constraint. <a href="classoperations__research_1_1sat_1_1_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_circuit_constraint.html">CircuitConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized circuit constraint. <a href="classoperations__research_1_1sat_1_1_circuit_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_multiple_circuit_constraint.html">MultipleCircuitConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized circuit constraint. <a href="classoperations__research_1_1sat_1_1_multiple_circuit_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_table_constraint.html">TableConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized assignment constraint. <a href="classoperations__research_1_1sat_1_1_table_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_reservoir_constraint.html">ReservoirConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized reservoir constraint. <a href="classoperations__research_1_1sat_1_1_reservoir_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_automaton_constraint.html">AutomatonConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized automaton constraint. <a href="classoperations__research_1_1sat_1_1_automaton_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_no_overlap2_d_constraint.html">NoOverlap2DConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized no_overlap2D constraint. <a href="classoperations__research_1_1sat_1_1_no_overlap2_d_constraint.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_cumulative_constraint.html">CumulativeConstraint</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Specialized cumulative constraint. <a href="classoperations__research_1_1sat_1_1_cumulative_constraint.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1sat_1_1_cp_model_builder.html">CpModelBuilder</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Wrapper class around the cp_model proto. <a href="classoperations__research_1_1sat_1_1_cp_model_builder.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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Namespaces</h2></td></tr>
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<tr class="memitem:namespaceoperations__research"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html">operations_research</a></td></tr>
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<tr class="memitem:namespaceoperations__research_1_1sat"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html">operations_research::sat</a></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a807d4ae4dc98ad0c05fa05c3f1dfabc9"><td class="memItemLeft" align="right" valign="top">std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a807d4ae4dc98ad0c05fa05c3f1dfabc9">operator<<</a> (std::ostream &os, const BoolVar &var)</td></tr>
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<tr class="separator:a807d4ae4dc98ad0c05fa05c3f1dfabc9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5e3de118c1f8dd5a7ec21704e05684b9"><td class="memItemLeft" align="right" valign="top">BoolVar </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a5e3de118c1f8dd5a7ec21704e05684b9">Not</a> (BoolVar x)</td></tr>
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<tr class="memdesc:a5e3de118c1f8dd5a7ec21704e05684b9"><td class="mdescLeft"> </td><td class="mdescRight">A convenient wrapper so we can write Not(x) instead of <a class="el" href="namespaceoperations__research_1_1sat.html#a5e3de118c1f8dd5a7ec21704e05684b9" title="A convenient wrapper so we can write Not(x) instead of x.Not() which is sometimes clearer.">x.Not()</a> which is sometimes clearer. <a href="namespaceoperations__research_1_1sat.html#a5e3de118c1f8dd5a7ec21704e05684b9">More...</a><br /></td></tr>
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<tr class="separator:a5e3de118c1f8dd5a7ec21704e05684b9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0c1b0a196a70f7edd0ff1bc0250e76ac"><td class="memItemLeft" align="right" valign="top">std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a0c1b0a196a70f7edd0ff1bc0250e76ac">operator<<</a> (std::ostream &os, const IntVar &var)</td></tr>
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<tr class="separator:a0c1b0a196a70f7edd0ff1bc0250e76ac"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a616a1843aa394d2d018e052050588bb2"><td class="memItemLeft" align="right" valign="top">std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a616a1843aa394d2d018e052050588bb2">operator<<</a> (std::ostream &os, const LinearExpr &e)</td></tr>
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<tr class="separator:a616a1843aa394d2d018e052050588bb2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4c1168782300a1c64e854ec6f1ead1ea"><td class="memItemLeft" align="right" valign="top">std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a4c1168782300a1c64e854ec6f1ead1ea">operator<<</a> (std::ostream &os, const DoubleLinearExpr &e)</td></tr>
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<tr class="separator:a4c1168782300a1c64e854ec6f1ead1ea"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:afeefd0a183a2d1c9f09fec0aa52b200a"><td class="memItemLeft" align="right" valign="top">std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#afeefd0a183a2d1c9f09fec0aa52b200a">operator<<</a> (std::ostream &os, const IntervalVar &var)</td></tr>
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<tr class="separator:afeefd0a183a2d1c9f09fec0aa52b200a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab6fe86bc876c281163a053a9581346c3"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#ab6fe86bc876c281163a053a9581346c3">SolutionIntegerValue</a> (const CpSolverResponse &r, const LinearExpr &expr)</td></tr>
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<tr class="memdesc:ab6fe86bc876c281163a053a9581346c3"><td class="mdescLeft"> </td><td class="mdescRight">Evaluates the value of an linear expression in a solver response. <a href="namespaceoperations__research_1_1sat.html#ab6fe86bc876c281163a053a9581346c3">More...</a><br /></td></tr>
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<tr class="memitem:afa415e372a9d64eede869ed98666c29c"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#afa415e372a9d64eede869ed98666c29c">SolutionBooleanValue</a> (const CpSolverResponse &r, BoolVar x)</td></tr>
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<tr class="memdesc:afa415e372a9d64eede869ed98666c29c"><td class="mdescLeft"> </td><td class="mdescRight">Evaluates the value of a Boolean literal in a solver response. <a href="namespaceoperations__research_1_1sat.html#afa415e372a9d64eede869ed98666c29c">More...</a><br /></td></tr>
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<tr class="memitem:a007d129b4917935f84c9ae0823c2cb11"><td class="memItemLeft" align="right" valign="top">std::string </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a007d129b4917935f84c9ae0823c2cb11">VarDebugString</a> (const CpModelProto &proto, int index)</td></tr>
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<tr class="memitem:a49f6d80163fd6aa41fec7ebf8e27949a"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a49f6d80163fd6aa41fec7ebf8e27949a">operator-</a> (LinearExpr expr)</td></tr>
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<tr class="memitem:a14d680e53b769b0bf60b6613d27994df"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a14d680e53b769b0bf60b6613d27994df">operator+</a> (const LinearExpr &lhs, const LinearExpr &rhs)</td></tr>
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<tr class="memitem:a70c3650a2627f7072b46545ba712da1c"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a70c3650a2627f7072b46545ba712da1c">operator+</a> (LinearExpr &&lhs, const LinearExpr &rhs)</td></tr>
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<tr class="memitem:af5d9b25ef5642c457636001e9393034e"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#af5d9b25ef5642c457636001e9393034e">operator+</a> (const LinearExpr &lhs, LinearExpr &&rhs)</td></tr>
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<tr class="memitem:a12a296a3b389239ce1ffef3527bfa1e3"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a12a296a3b389239ce1ffef3527bfa1e3">operator+</a> (LinearExpr &&lhs, LinearExpr &&rhs)</td></tr>
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<tr class="memitem:aedd485d7f6b2ccacff90294455d30ae5"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#aedd485d7f6b2ccacff90294455d30ae5">operator-</a> (const LinearExpr &lhs, const LinearExpr &rhs)</td></tr>
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<tr class="memitem:a62d4cee395c01f64847f322fd74f3613"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a62d4cee395c01f64847f322fd74f3613">operator-</a> (LinearExpr &&lhs, const LinearExpr &rhs)</td></tr>
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<tr class="memitem:a1083f8028e54d27eec081e45d92da3da"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a1083f8028e54d27eec081e45d92da3da">operator-</a> (const LinearExpr &lhs, LinearExpr &&rhs)</td></tr>
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<tr class="memitem:ab29f5117f4220225e73e5984196315a7"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#ab29f5117f4220225e73e5984196315a7">operator-</a> (LinearExpr &&lhs, LinearExpr &&rhs)</td></tr>
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<tr class="memitem:ae5e220860af1fa89265bd640ab575c94"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#ae5e220860af1fa89265bd640ab575c94">operator*</a> (LinearExpr expr, int64_t factor)</td></tr>
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<tr class="memitem:a1b127fca095a77a5c789d443f522fbbb"><td class="memItemLeft" align="right" valign="top">LinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a1b127fca095a77a5c789d443f522fbbb">operator*</a> (int64_t factor, LinearExpr expr)</td></tr>
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<tr class="memitem:a3ef55954ce104b703b05f5a926a55c52"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a3ef55954ce104b703b05f5a926a55c52">operator-</a> (DoubleLinearExpr expr)</td></tr>
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<tr class="memitem:adedef397b25c1cc6909adcae18a820e9"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#adedef397b25c1cc6909adcae18a820e9">operator+</a> (const DoubleLinearExpr &lhs, const DoubleLinearExpr &rhs)</td></tr>
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<tr class="memitem:a23499bc93d6b2ab81e91ea946e2780c8"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a23499bc93d6b2ab81e91ea946e2780c8">operator+</a> (DoubleLinearExpr &&lhs, const DoubleLinearExpr &rhs)</td></tr>
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<tr class="memitem:a0bdaf49a2294d9fd664ce3ad0360d501"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a0bdaf49a2294d9fd664ce3ad0360d501">operator+</a> (const DoubleLinearExpr &lhs, DoubleLinearExpr &&rhs)</td></tr>
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<tr class="memitem:a8958bf1527cb994a0d7553282dd731f2"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a8958bf1527cb994a0d7553282dd731f2">operator+</a> (double lhs, DoubleLinearExpr expr)</td></tr>
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<tr class="memitem:a1ed1cd9aca1c45ff97111ebfe1d8c555"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a1ed1cd9aca1c45ff97111ebfe1d8c555">operator-</a> (const DoubleLinearExpr &lhs, const DoubleLinearExpr &rhs)</td></tr>
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<tr class="memitem:a49cbabfb6c894b12ffb48181248c2c87"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a49cbabfb6c894b12ffb48181248c2c87">operator-</a> (DoubleLinearExpr epxr, double rhs)</td></tr>
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<tr class="memitem:a962810e4d6e648b9bdd8a6147e6ecd8c"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a962810e4d6e648b9bdd8a6147e6ecd8c">operator-</a> (double lhs, DoubleLinearExpr expr)</td></tr>
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<tr class="memitem:a8ad89939d32828716e2f01940e81ce4a"><td class="memItemLeft" align="right" valign="top">DoubleLinearExpr </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html#a8ad89939d32828716e2f01940e81ce4a">operator*</a> (DoubleLinearExpr expr, double factor)</td></tr>
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