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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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< h1 style = "color: #145A32;" > C++ Reference: CP-SAT< / h1 >
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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 >
< 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 >
< div class = "line" > Domain all_animals(0, 20);< / div >
< div class = "line" > IntVar rabbits = cp_model.NewIntVar(all_animals).WithName(< span class = "stringliteral" > " rabbits" < / span > );< / div >
< div class = "line" > IntVar pheasants = cp_model.NewIntVar(all_animals).WithName(< span class = "stringliteral" > " pheasants" < / span > );< / div >
< div class = "line" > < / div >
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< div class = "line" > cp_model.AddEquality(rabbits + pheasants, 20);< / div >
< div class = "line" > cp_model.AddEquality(4 * rabbits + 2 * pheasants, 56);< / div >
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< div class = "line" > < / div >
< 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 >
< 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 >
< div class = "line" > < < < span class = "stringliteral" > " pheasants." < / span > ;< / div >
< div class = "line" > }< / div >
< 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 >
< 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 >
< / 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 >
< table class = "memberdecls" >
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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 >
< 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 = "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 >
< 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 = "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 >
< 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 = "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 >
< 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 >
< 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 = "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 >
< 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 >
< 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 = "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 >
< 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 = "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 >
< 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 = "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 >
< 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 = "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 >
< 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 = "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 >
< 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 >
< 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 = "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 >
< 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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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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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 >
< 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 = "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 = "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 >
< 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 = "separator:afa415e372a9d64eede869ed98666c29c" > < td class = "memSeparator" colspan = "2" >   < / 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 >
< tr class = "separator:aedd485d7f6b2ccacff90294455d30ae5" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< 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 >
< tr class = "separator:ae5e220860af1fa89265bd640ab575c94" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< 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 >
< tr class = "separator:adedef397b25c1cc6909adcae18a820e9" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< 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:a5317d7f37f16096d85dfc5a7f05bed77" > < td class = "memItemLeft" align = "right" valign = "top" > DoubleLinearExpr  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "namespaceoperations__research_1_1sat.html#a5317d7f37f16096d85dfc5a7f05bed77" > operator+< / a > (DoubleLinearExpr & & lhs, DoubleLinearExpr & & rhs)< / td > < / tr >
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< tr class = "memitem:a60111592f54952fd8d14692750ac5617" > < td class = "memItemLeft" align = "right" valign = "top" > DoubleLinearExpr  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "namespaceoperations__research_1_1sat.html#a60111592f54952fd8d14692750ac5617" > operator+< / a > (DoubleLinearExpr expr, double rhs)< / td > < / tr >
< tr class = "separator:a60111592f54952fd8d14692750ac5617" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< 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 = "separator:ade32b256f6277fd7a7e52c3a17128b96" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:a37a77b7fe5f2ae90130d7f9cf20a995a" > < td class = "memItemLeft" align = "right" valign = "top" > DoubleLinearExpr  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "namespaceoperations__research_1_1sat.html#a37a77b7fe5f2ae90130d7f9cf20a995a" > operator-< / a > (const DoubleLinearExpr & lhs, 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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< tr class = "memitem:ac5f88f13d009bea305340ad747262317" > < td class = "memItemLeft" align = "right" valign = "top" > DoubleLinearExpr  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "namespaceoperations__research_1_1sat.html#ac5f88f13d009bea305340ad747262317" > operator*< / a > (double factor, DoubleLinearExpr expr)< / td > < / tr >
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