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< a href = "result_8h.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
< div class = "line" > < a id = "l00002" name = "l00002" > < / a > < span class = "lineno" > 2< / span > < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
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< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "comment" > //< / span > < / div >
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< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "preprocessor" > #ifndef OR_TOOLS_MATH_OPT_CPP_RESULT_H_< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "preprocessor" > #define OR_TOOLS_MATH_OPT_CPP_RESULT_H_< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "preprocessor" > #include < string> < / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "preprocessor" > #include " < a class = "code" href = "base_2logging_8h.html" > ortools/base/logging.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "preprocessor" > #include " absl/status/statusor.h" < / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "preprocessor" > #include " absl/time/time.h" < / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "preprocessor" > #include " < a class = "code" href = "indexed__model_8h.html" > ortools/math_opt/core/indexed_model.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / 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 > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "preprocessor" > #include " < a class = "code" href = "variable__and__expressions_8h.html" > ortools/math_opt/cpp/variable_and_expressions.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "preprocessor" > #include " ortools/math_opt/result.pb.h" < / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "preprocessor" > #include " ortools/math_opt/solution.pb.h" < / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "preprocessor" > #include " < a class = "code" href = "protoutil_8h.html" > ortools/base/protoutil.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "keyword" > namespace < / span > math_opt {< / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > // The result of solving an optimization problem with MathOpt::Solve.< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > // TODO(b/172211596): there is already a parallel proto named solve result, the< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // naming convention should be more consistent.< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html" > 37< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_result.html" > Result< / a > {< / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "comment" > // A solution to an optimization problem.< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // E.g. consider a simple linear program:< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > // min c * x< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > // s.t. A * x > = b< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // x > = 0.< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "comment" > // A primal solution is assignment values to x. It is feasible if it satisfies< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > // A * x > = b and x > = 0 from above. In the class PrimalSolution below,< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "comment" > // variable_values is x and objective_value is c * x.< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "comment" > // For the general case of a MathOpt optimization model, see< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "comment" > // go/mathopt-solutions for details.< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html" > 50< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html" > PrimalSolution< / a > {< / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a91266736c5b498ef3e128f7af8154024" > 51< / a > < / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a91266736c5b498ef3e128f7af8154024" > PrimalSolution< / a > () = < span class = "keywordflow" > default< / span > ;< / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a91266736c5b498ef3e128f7af8154024" > PrimalSolution< / a > (< a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_indexed_model.html" > IndexedModel< / a > * < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_indexed_primal_solution.html" > IndexedPrimalSolution< / a > indexed_solution);< / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a217b557acea6edff9d4174403dc2f2ff" > 54< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a217b557acea6edff9d4174403dc2f2ff" > variable_values< / a > ;< / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a69703b8569462134ad4e22ab0133e418" > 55< / a > < / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a69703b8569462134ad4e22ab0133e418" > objective_value< / a > = 0.0;< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > };< / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "comment" > // A direction of unbounded improvement to an optimization problem;< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "comment" > // equivalently, a certificate of infeasibility for the dual of the< / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < span class = "comment" > // optimization problem.< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // E.g. consider a simple linear program:< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // min c * x< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "comment" > // s.t. A * x > = b< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > // x > = 0< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "comment" > // A primal ray is an x that satisfies:< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "comment" > // c * x < 0< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "comment" > // A * x > = 0< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "comment" > // x > = 0< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > // Observe that given a feasible solution, any positive multiple of the primal< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "comment" > // ray plus that solution is still feasible, and gives a better objective< / span > < / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < span class = "comment" > // value. A primal ray also proves the dual optimization problem infeasible.< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "comment" > // In the class PrimalRay below, variable_values is this x.< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "comment" > // For the general case of a MathOpt optimization model, see< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "comment" > // go/mathopt-solutions for details.< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html" > 78< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html" > PrimalRay< / a > {< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a9ea206117e5ce3c7ee6896953f3f84c3" > 79< / a > < / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a9ea206117e5ce3c7ee6896953f3f84c3" > PrimalRay< / a > () = < span class = "keywordflow" > default< / span > ;< / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a9ea206117e5ce3c7ee6896953f3f84c3" > PrimalRay< / a > (< a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_indexed_model.html" > IndexedModel< / a > * < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_indexed_primal_ray.html" > IndexedPrimalRay< / a > indexed_ray);< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a217b557acea6edff9d4174403dc2f2ff" > 82< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a217b557acea6edff9d4174403dc2f2ff" > variable_values< / a > ;< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > };< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "comment" > // A solution to the dual of an optimization problem.< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "comment" > // E.g. consider the primal dual pair linear program pair:< / span > < / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "comment" > // (Primal) (Dual)< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "comment" > // min c * x max b * y< / span > < / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < span class = "comment" > // s.t. A * x > = b s.t. y * A + r = c< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "comment" > // x > = 0 y, r > = 0.< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "comment" > // The dual solution is the pair (y, r). It is feasible if it satisfies the< / span > < / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < span class = "comment" > // constraints from (Dual) above.< / span > < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "comment" > // Below, y is dual_values, r is reduced_costs, and b * y is objective value.< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < span class = "comment" > // For the general case, see go/mathopt-solutions and go/mathopt-dual (and< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > // note that the dual objective depends on r in the general case).< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html" > 99< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html" > DualSolution< / a > {< / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a26aa149207b76b4758e3374bbb0bfc6a" > 100< / a > < / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a26aa149207b76b4758e3374bbb0bfc6a" > DualSolution< / a > () = < span class = "keywordflow" > default< / span > ;< / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a26aa149207b76b4758e3374bbb0bfc6a" > DualSolution< / a > (< a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_indexed_model.html" > IndexedModel< / a > * < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_indexed_dual_solution.html" > IndexedDualSolution< / a > indexed_solution);< / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a801b3639c3daff80850bf450a95fab3d" > 103< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > LinearConstraintMap< double> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a801b3639c3daff80850bf450a95fab3d" > dual_values< / a > ;< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a8c59e260c5341833e0c29dfbeb4b92a3" > 104< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a8c59e260c5341833e0c29dfbeb4b92a3" > reduced_costs< / a > ;< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a69703b8569462134ad4e22ab0133e418" > 105< / a > < / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a69703b8569462134ad4e22ab0133e418" > objective_value< / a > = 0.0;< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > };< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "comment" > // A direction of unbounded improvement to the dual of an optimization,< / span > < / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "comment" > // problem; equivalently, a certificate of primal infeasibility.< / span > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "comment" > // E.g. consider the primal dual pair linear program pair:< / span > < / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "comment" > // (Primal) (Dual)< / span > < / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "comment" > // min c * x max b * y< / span > < / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "comment" > // s.t. A * x > = b s.t. y * A + r = c< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "comment" > // x > = 0 y, r > = 0.< / span > < / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "comment" > // The dual ray is the pair (y, r) satisfying:< / span > < / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "comment" > // b * y > 0< / span > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "comment" > // y * A + r = 0< / span > < / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < span class = "comment" > // y, r > = 0< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < span class = "comment" > // Observe that adding a positive multiple of (y, r) to dual feasible solution< / span > < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "comment" > // maintains dual feasibility and improves the objective (proving the dual is< / span > < / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "comment" > // unbounded). The dual ray also proves the primal problem is infeasible.< / span > < / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < span class = "comment" > // In the class DualRay below, y is dual_values and r is reduced_costs.< / span > < / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < span class = "comment" > // For the general case, see go/mathopt-solutions and go/mathopt-dual (and< / span > < / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < span class = "comment" > // note that the dual objective depends on r in the general case).< / span > < / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html" > 128< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html" > DualRay< / a > {< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a2b3653881f60f4bf506f6c7b95af3ef2" > 129< / a > < / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a2b3653881f60f4bf506f6c7b95af3ef2" > DualRay< / a > () = < span class = "keywordflow" > default< / span > ;< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a2b3653881f60f4bf506f6c7b95af3ef2" > DualRay< / a > (< a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_indexed_model.html" > IndexedModel< / a > * < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_indexed_dual_ray.html" > IndexedDualRay< / a > indexed_ray);< / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a801b3639c3daff80850bf450a95fab3d" > 132< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > LinearConstraintMap< double> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a801b3639c3daff80850bf450a95fab3d" > dual_values< / a > ;< / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a8c59e260c5341833e0c29dfbeb4b92a3" > 133< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a8c59e260c5341833e0c29dfbeb4b92a3" > reduced_costs< / a > ;< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > };< / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > < / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < span class = "comment" > // A combinatorial characterization for a solution to a linear program.< / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "comment" > // The simplex method for solving linear programs always returns a " basic< / span > < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < span class = "comment" > // feasible solution" which can be described combinatorially as a Basis. A< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "comment" > // basis assigns a BasisStatus for every variable and linear constraint.< / span > < / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "comment" > // E.g. consider a standard form LP:< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "comment" > // min c * x< / span > < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "comment" > // s.t. A * x = b< / span > < / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < span class = "comment" > // x > = 0< / span > < / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "comment" > // that has more variables than constraints and with full row rank A.< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < span class = "comment" > // Let n be the number of variables and m the number of linear constraints. A< / span > < / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > < span class = "comment" > // valid basis for this problem can be constructed as follows:< / span > < / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < span class = "comment" > // * All constraints will have basis status FIXED.< / span > < / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "comment" > // * Pick m variables such that the columns of A are linearly independent and< / span > < / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "comment" > // assign the status BASIC.< / span > < / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "comment" > // * Assign the status AT_LOWER for the remaining n - m variables.< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "comment" > // The basic solution for this basis is the unique solution of A * x = b that< / span > < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "comment" > // has all variables with status AT_LOWER fixed to their lower bounds (all< / span > < / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "comment" > // zero). The resulting solution is called a basic feasible solution if it< / span > < / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "comment" > // also satisfies x > = 0.< / span > < / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "comment" > // See go/mathopt-basis for treatment of the general case and an explanation< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "comment" > // of how a dual solution is determined for a basis.< / span > < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html" > 162< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html" > Basis< / a > {< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#aa26f5c33c4803f6f86e352b35c0d0c54" > 163< / a > < / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#aa26f5c33c4803f6f86e352b35c0d0c54" > Basis< / a > () = < span class = "keywordflow" > default< / span > ;< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#aa26f5c33c4803f6f86e352b35c0d0c54" > Basis< / a > (< a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_indexed_model.html" > IndexedModel< / a > * < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_indexed_basis.html" > IndexedBasis< / a > indexed_basis);< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#a861aab8e91d4e8a0201d4de3154cf01f" > 166< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > LinearConstraintMap< BasisStatus> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#a861aab8e91d4e8a0201d4de3154cf01f" > constraint_status< / a > ;< / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#a5dc49f0eb9f9a7a1f0d1a0e93a823bc5" > 167< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< BasisStatus> < / a > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#a5dc49f0eb9f9a7a1f0d1a0e93a823bc5" > variable_status< / a > ;< / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > };< / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#ac4f68c0ccada9fb3ecb536dc47843d40" > Result< / a > (< a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_indexed_model.html" > IndexedModel< / a > * < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , < span class = "keyword" > const< / span > SolveResultProto& solve_result);< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > < span class = "comment" > // The objective value of the best primal solution. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > < span class = "comment" > // are no primal solutions.< / span > < / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a84f066c304d8bcbb9567be094feb9b08" > 174< / a > < / span > < span class = "keywordtype" > double< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a84f066c304d8bcbb9567be094feb9b08" > objective_value< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a712271fcdb3e50439c4802d9983f93de" > has_solution< / a > ());< / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a195a613e6f4f428a13f8da84725a197f" > primal_solutions< / a > [0].objective_value;< / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > }< / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a2dc761880474e791f59285a792f7d1bb" > 179< / a > < / span > absl::Duration < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a2dc761880474e791f59285a792f7d1bb" > solve_time< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil__time.html#a801584734c5b3898f94cf932202b2eb7" > util_time::DecodeGoogleApiProto< / a > (< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a6183bb2e39fee640317587be62b8a5e6" > solve_stats< / a > .solve_time()).value();< / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > }< / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > < span class = "comment" > // Indicates if at least one primal feasible solution is available.< / span > < / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > < span class = "comment" > // When termination_reason is TERMINATION_REASON_OPTIMAL, this is guaranteed< / span > < / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < span class = "comment" > // to be true and need not be checked.< / span > < / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a712271fcdb3e50439c4802d9983f93de" > 187< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a712271fcdb3e50439c4802d9983f93de" > has_solution< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > !< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a195a613e6f4f428a13f8da84725a197f" > primal_solutions< / a > .empty(); }< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < span class = "comment" > // The variable values from the best primal solution. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < span class = "comment" > // are no primal solutions.< / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#ac4a6e078f25aa73eec5271d449a12532" > 191< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#ac4a6e078f25aa73eec5271d449a12532" > variable_values< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a712271fcdb3e50439c4802d9983f93de" > has_solution< / a > ());< / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a195a613e6f4f428a13f8da84725a197f" > primal_solutions< / a > [0].variable_values;< / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > }< / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "comment" > // Indicates if at least one primal ray is available.< / span > < / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "comment" > // This is NOT guaranteed to be true when termination_reason is< / span > < / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "comment" > // UNBOUNDED or DUAL_INFEASIBLE.< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a92d19a5e106290c1b90a5184a4826936" > 200< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a92d19a5e106290c1b90a5184a4826936" > has_ray< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > !< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a6e4b0ba0339c6172e9bfa3df9f8c61d8" > primal_rays< / a > .empty(); }< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > < span class = "comment" > // The variable values from the first primal ray. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > < span class = "comment" > // are no primal rays.< / span > < / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a111ca69b2f4a515754ff424f8214efe6" > 204< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a111ca69b2f4a515754ff424f8214efe6" > ray_variable_values< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a92d19a5e106290c1b90a5184a4826936" > has_ray< / a > ());< / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a6e4b0ba0339c6172e9bfa3df9f8c61d8" > primal_rays< / a > [0].variable_values;< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > }< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > < span class = "comment" > // Indicates if at least one dual solution is available.< / span > < / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > < span class = "comment" > // This is NOT guaranteed to be true when termination_reason is< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "comment" > // TERMINATION_REASON_OPTIMAL.< / span > < / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#ae649adda3768ef9a888061f9396903de" > 213< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#ae649adda3768ef9a888061f9396903de" > has_dual_solution< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > !< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#add1943472845692060a2649cea91b9e5" > dual_solutions< / a > .empty(); }< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > < / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < span class = "comment" > // The dual values from the best dual solution. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < span class = "comment" > // are no dual solutions.< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a116b227550e648d43bfbaccf9557ce42" > 217< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > LinearConstraintMap< double> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a116b227550e648d43bfbaccf9557ce42" > dual_values< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#ae649adda3768ef9a888061f9396903de" > has_dual_solution< / a > ());< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#add1943472845692060a2649cea91b9e5" > dual_solutions< / a > [0].dual_values;< / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > }< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > < / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > < span class = "comment" > // The reduced from the best dual solution. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > < span class = "comment" > // are no dual solutions.< / span > < / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > < span class = "comment" > // TODO(b/174564572): if reduced_costs in DualSolution was something like< / span > < / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > < span class = "comment" > // dual_reduced cost it would help prevent people forgetting to call< / span > < / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < span class = "comment" > // has_dual_solution().< / span > < / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#acc1f8f5ed04e9ea770b526fa34d6076c" > 227< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#acc1f8f5ed04e9ea770b526fa34d6076c" > reduced_costs< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#ae649adda3768ef9a888061f9396903de" > has_dual_solution< / a > ());< / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#add1943472845692060a2649cea91b9e5" > dual_solutions< / a > [0].reduced_costs;< / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > }< / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < span class = "comment" > // Indicates if at least one dual ray is available.< / span > < / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > < span class = "comment" > // This is NOT guaranteed to be true when termination_reason is< / span > < / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < span class = "comment" > // INFEASIBLE.< / span > < / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a240b106da863fbff10545e97c2c72007" > 236< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a240b106da863fbff10545e97c2c72007" > has_dual_ray< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > !< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#af8a0308f391215b9c41b855832504054" > dual_rays< / a > .empty(); }< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > < span class = "comment" > // The dual values from the first dual ray. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < span class = "comment" > // are no dual rays.< / span > < / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < span class = "comment" > // TODO(b/174564572): note the redunancy of the " double" dual and the< / span > < / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > < span class = "comment" > // inconsistency with `dual_values` in the proto.< / span > < / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a5511ef5b247197964fac748cc4a8de1f" > 242< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > LinearConstraintMap< double> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a5511ef5b247197964fac748cc4a8de1f" > ray_dual_values< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a240b106da863fbff10545e97c2c72007" > has_dual_ray< / a > ());< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#af8a0308f391215b9c41b855832504054" > dual_rays< / a > [0].dual_values;< / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > }< / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > 246< / span > < / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > < span class = "comment" > // The reduced from the first dual ray. Will CHECK fail if there< / span > < / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > < span class = "comment" > // are no dual rays.< / span > < / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#aafa2eea97d94bf02b53add568f96a5b7" > 249< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< double> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#aafa2eea97d94bf02b53add568f96a5b7" > ray_reduced_costs< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a240b106da863fbff10545e97c2c72007" > has_dual_ray< / a > ());< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#af8a0308f391215b9c41b855832504054" > dual_rays< / a > [0].reduced_costs;< / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > }< / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < span class = "comment" > // Indicates if at least one basis is available.< / span > < / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a62c089ac76f862b590837a1e3222255a" > 255< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a62c089ac76f862b590837a1e3222255a" > has_basis< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > !< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#affcbde612045e8c0013c9c8b8c571aa4" > basis< / a > .empty(); }< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > < span class = "comment" > // The constraint basis status for the first primal/dual pair.< / span > < / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#ab62d9dad5e21d92465fbe8c1d4b34369" > 258< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > LinearConstraintMap< BasisStatus> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#ab62d9dad5e21d92465fbe8c1d4b34369" > constraint_status< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a62c089ac76f862b590837a1e3222255a" > has_basis< / a > ());< / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#affcbde612045e8c0013c9c8b8c571aa4" > basis< / a > [0].constraint_status;< / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > }< / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "comment" > // The variable basis status for the first primal/dual pair.< / span > < / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a1e2301bdfac3bd250b16fe5ba4b22190" > 264< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_id_map.html" > VariableMap< BasisStatus> < / a > & < a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a1e2301bdfac3bd250b16fe5ba4b22190" > variable_status< / a > ()< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > (< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_result.html#a62c089ac76f862b590837a1e3222255a" > has_basis< / a > ());< / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#affcbde612045e8c0013c9c8b8c571aa4" > basis< / a > [0].variable_status;< / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > }< / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a348ba125b5dd1e6ee310de01c8ae4c54" > 269< / a > < / span > std::vector< std::string> < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a348ba125b5dd1e6ee310de01c8ae4c54" > warnings< / a > ;< / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#aa40f46a9ffd7e5e740dd07f990d57078" > 270< / a > < / span > SolveResultProto::TerminationReason < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#aa40f46a9ffd7e5e740dd07f990d57078" > termination_reason< / a > =< / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > SolveResultProto::TERMINATION_REASON_UNSPECIFIED;< / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a7427661813c1b5a8a05d02b913eadfc9" > 272< / a > < / span > std::string < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a7427661813c1b5a8a05d02b913eadfc9" > termination_detail< / a > ;< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a6183bb2e39fee640317587be62b8a5e6" > 273< / a > < / span > SolveStatsProto < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a6183bb2e39fee640317587be62b8a5e6" > solve_stats< / a > ;< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "comment" > // Primal solutions should be ordered best objective value first.< / span > < / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a195a613e6f4f428a13f8da84725a197f" > 276< / a > < / span > std::vector< PrimalSolution> < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a195a613e6f4f428a13f8da84725a197f" > primal_solutions< / a > ;< / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a6e4b0ba0339c6172e9bfa3df9f8c61d8" > 277< / a > < / span > std::vector< PrimalRay> < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a6e4b0ba0339c6172e9bfa3df9f8c61d8" > primal_rays< / a > ;< / div >
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > 278< / span > < / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > < span class = "comment" > // Dual solutions should be ordered best objective value first.< / span > < / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#add1943472845692060a2649cea91b9e5" > 280< / a > < / span > std::vector< DualSolution> < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#add1943472845692060a2649cea91b9e5" > dual_solutions< / a > ;< / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#af8a0308f391215b9c41b855832504054" > 281< / a > < / span > std::vector< DualRay> < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#af8a0308f391215b9c41b855832504054" > dual_rays< / a > ;< / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < span class = "comment" > // basis[i] corresponds to the primal dual pair:< / span > < / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > < span class = "comment" > // {primal_solutions[i], dual_solutions[i]}. These fields must have at least< / span > < / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > < span class = "comment" > // as many elements as basis. Basis will only be populated for LPs, and may< / span > < / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > < span class = "comment" > // not be populated.< / span > < / div >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#affcbde612045e8c0013c9c8b8c571aa4" > 287< / a > < / span > std::vector< Basis> < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#affcbde612045e8c0013c9c8b8c571aa4" > basis< / a > ;< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > < / div >
< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > < span class = "comment" > // Set to true if MathOpt::Solve() has attempted an incremental solve instead< / span > < / div >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > 290< / span > < span class = "comment" > // of starting from scratch.< / span > < / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > < span class = "comment" > // We have three components involve in Solve(): MathOpt, the solver wrapper< / span > < / div >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > < span class = "comment" > // (solver.h) and the actual solver (SCIP, ...). For some model modifications,< / span > < / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "comment" > // the wrapper can support modifying the actual solver' s in-memory model< / span > < / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > < span class = "comment" > // instead of recreating it from scratch. This member is set to true when this< / span > < / div >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > 296< / span > < span class = "comment" > // happens.< / span > < / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > < a class = "line" href = "structoperations__research_1_1math__opt_1_1_result.html#a33beca02bf1e747c6d65374e00cf0d26" > 297< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_result.html#a33beca02bf1e747c6d65374e00cf0d26" > attempted_incremental_solve< / a > = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > };< / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > < / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > } < span class = "comment" > // namespace math_opt< / span > < / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > 302< / span > < / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_MATH_OPT_CPP_RESULT_H_< / span > < / div >
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274" > < div class = "ttname" > < a href = "base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274" > CHECK< / a > < / div > < div class = "ttdeci" > #define CHECK(condition)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00491" > base/logging.h:491< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_id_map_html" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_id_map.html" > operations_research::math_opt::IdMap< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "id__map_8h_source.html#l00054" > id_map.h:54< / a > < / div > < / div >
< 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#l00161" > indexed_model.h:161< / a > < / div > < / div >
< 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 >
< div class = "ttc" id = "aindexed__model_8h_html" > < div class = "ttname" > < a href = "indexed__model_8h.html" > indexed_model.h< / a > < / div > < / div >
< 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 >
< 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 >
< div class = "ttc" id = "anamespaceutil__time_html_a801584734c5b3898f94cf932202b2eb7" > < div class = "ttname" > < a href = "namespaceutil__time.html#a801584734c5b3898f94cf932202b2eb7" > util_time::DecodeGoogleApiProto< / a > < / div > < div class = "ttdeci" > inline ::absl::StatusOr< absl::Duration > DecodeGoogleApiProto(const google::protobuf::Duration & proto)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "protoutil_8h_source.html#l00042" > protoutil.h:42< / a > < / div > < / div >
< div class = "ttc" id = "aprotoutil_8h_html" > < div class = "ttname" > < a href = "protoutil_8h.html" > protoutil.h< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_indexed_basis_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_indexed_basis.html" > operations_research::math_opt::IndexedBasis< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "indexed__model_8h_source.html#l00656" > indexed_model.h:656< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_indexed_dual_ray_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_indexed_dual_ray.html" > operations_research::math_opt::IndexedDualRay< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "indexed__model_8h_source.html#l00645" > indexed_model.h:645< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_indexed_dual_solution_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_indexed_dual_solution.html" > operations_research::math_opt::IndexedDualSolution< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "indexed__model_8h_source.html#l00628" > indexed_model.h:628< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_indexed_primal_ray_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_indexed_primal_ray.html" > operations_research::math_opt::IndexedPrimalRay< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "indexed__model_8h_source.html#l00618" > indexed_model.h:618< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_indexed_primal_solution_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_indexed_primal_solution.html" > operations_research::math_opt::IndexedPrimalSolution< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "indexed__model_8h_source.html#l00597" > indexed_model.h:597< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_basis_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html" > operations_research::math_opt::Result::Basis< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00162" > result.h:162< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_basis_html_a5dc49f0eb9f9a7a1f0d1a0e93a823bc5" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#a5dc49f0eb9f9a7a1f0d1a0e93a823bc5" > operations_research::math_opt::Result::Basis::variable_status< / a > < / div > < div class = "ttdeci" > VariableMap< BasisStatus > variable_status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00167" > result.h:167< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_basis_html_a861aab8e91d4e8a0201d4de3154cf01f" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#a861aab8e91d4e8a0201d4de3154cf01f" > operations_research::math_opt::Result::Basis::constraint_status< / a > < / div > < div class = "ttdeci" > LinearConstraintMap< BasisStatus > constraint_status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00166" > result.h:166< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_basis_html_aa26f5c33c4803f6f86e352b35c0d0c54" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_basis.html#aa26f5c33c4803f6f86e352b35c0d0c54" > operations_research::math_opt::Result::Basis::Basis< / a > < / div > < div class = "ttdeci" > Basis()=default< / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_ray_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html" > operations_research::math_opt::Result::DualRay< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00128" > result.h:128< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_ray_html_a2b3653881f60f4bf506f6c7b95af3ef2" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a2b3653881f60f4bf506f6c7b95af3ef2" > operations_research::math_opt::Result::DualRay::DualRay< / a > < / div > < div class = "ttdeci" > DualRay()=default< / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_ray_html_a801b3639c3daff80850bf450a95fab3d" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a801b3639c3daff80850bf450a95fab3d" > operations_research::math_opt::Result::DualRay::dual_values< / a > < / div > < div class = "ttdeci" > LinearConstraintMap< double > dual_values< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00132" > result.h:132< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_ray_html_a8c59e260c5341833e0c29dfbeb4b92a3" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_ray.html#a8c59e260c5341833e0c29dfbeb4b92a3" > operations_research::math_opt::Result::DualRay::reduced_costs< / a > < / div > < div class = "ttdeci" > VariableMap< double > reduced_costs< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00133" > result.h:133< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_solution_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html" > operations_research::math_opt::Result::DualSolution< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00099" > result.h:99< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_solution_html_a26aa149207b76b4758e3374bbb0bfc6a" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a26aa149207b76b4758e3374bbb0bfc6a" > operations_research::math_opt::Result::DualSolution::DualSolution< / a > < / div > < div class = "ttdeci" > DualSolution()=default< / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_solution_html_a69703b8569462134ad4e22ab0133e418" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a69703b8569462134ad4e22ab0133e418" > operations_research::math_opt::Result::DualSolution::objective_value< / a > < / div > < div class = "ttdeci" > double objective_value< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00105" > result.h:105< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_solution_html_a801b3639c3daff80850bf450a95fab3d" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a801b3639c3daff80850bf450a95fab3d" > operations_research::math_opt::Result::DualSolution::dual_values< / a > < / div > < div class = "ttdeci" > LinearConstraintMap< double > dual_values< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00103" > result.h:103< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_dual_solution_html_a8c59e260c5341833e0c29dfbeb4b92a3" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_dual_solution.html#a8c59e260c5341833e0c29dfbeb4b92a3" > operations_research::math_opt::Result::DualSolution::reduced_costs< / a > < / div > < div class = "ttdeci" > VariableMap< double > reduced_costs< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00104" > result.h:104< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_ray_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html" > operations_research::math_opt::Result::PrimalRay< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00078" > result.h:78< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_ray_html_a217b557acea6edff9d4174403dc2f2ff" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a217b557acea6edff9d4174403dc2f2ff" > operations_research::math_opt::Result::PrimalRay::variable_values< / a > < / div > < div class = "ttdeci" > VariableMap< double > variable_values< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00082" > result.h:82< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_ray_html_a9ea206117e5ce3c7ee6896953f3f84c3" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_ray.html#a9ea206117e5ce3c7ee6896953f3f84c3" > operations_research::math_opt::Result::PrimalRay::PrimalRay< / a > < / div > < div class = "ttdeci" > PrimalRay()=default< / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_solution_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html" > operations_research::math_opt::Result::PrimalSolution< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00050" > result.h:50< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_solution_html_a217b557acea6edff9d4174403dc2f2ff" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a217b557acea6edff9d4174403dc2f2ff" > operations_research::math_opt::Result::PrimalSolution::variable_values< / a > < / div > < div class = "ttdeci" > VariableMap< double > variable_values< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00054" > result.h:54< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_solution_html_a69703b8569462134ad4e22ab0133e418" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a69703b8569462134ad4e22ab0133e418" > operations_research::math_opt::Result::PrimalSolution::objective_value< / a > < / div > < div class = "ttdeci" > double objective_value< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00055" > result.h:55< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_1_1_primal_solution_html_a91266736c5b498ef3e128f7af8154024" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result_1_1_primal_solution.html#a91266736c5b498ef3e128f7af8154024" > operations_research::math_opt::Result::PrimalSolution::PrimalSolution< / a > < / div > < div class = "ttdeci" > PrimalSolution()=default< / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html" > operations_research::math_opt::Result< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00037" > result.h:37< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a111ca69b2f4a515754ff424f8214efe6" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a111ca69b2f4a515754ff424f8214efe6" > operations_research::math_opt::Result::ray_variable_values< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & ray_variable_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00204" > result.h:204< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a116b227550e648d43bfbaccf9557ce42" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a116b227550e648d43bfbaccf9557ce42" > operations_research::math_opt::Result::dual_values< / a > < / div > < div class = "ttdeci" > const LinearConstraintMap< double > & dual_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00217" > result.h:217< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a195a613e6f4f428a13f8da84725a197f" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a195a613e6f4f428a13f8da84725a197f" > operations_research::math_opt::Result::primal_solutions< / a > < / div > < div class = "ttdeci" > std::vector< PrimalSolution > primal_solutions< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00276" > result.h:276< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a1e2301bdfac3bd250b16fe5ba4b22190" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a1e2301bdfac3bd250b16fe5ba4b22190" > operations_research::math_opt::Result::variable_status< / a > < / div > < div class = "ttdeci" > const VariableMap< BasisStatus > & variable_status() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00264" > result.h:264< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a240b106da863fbff10545e97c2c72007" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a240b106da863fbff10545e97c2c72007" > operations_research::math_opt::Result::has_dual_ray< / a > < / div > < div class = "ttdeci" > bool has_dual_ray() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00236" > result.h:236< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a2dc761880474e791f59285a792f7d1bb" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a2dc761880474e791f59285a792f7d1bb" > operations_research::math_opt::Result::solve_time< / a > < / div > < div class = "ttdeci" > absl::Duration solve_time() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00179" > result.h:179< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a33beca02bf1e747c6d65374e00cf0d26" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a33beca02bf1e747c6d65374e00cf0d26" > operations_research::math_opt::Result::attempted_incremental_solve< / a > < / div > < div class = "ttdeci" > bool attempted_incremental_solve< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00297" > result.h:297< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a348ba125b5dd1e6ee310de01c8ae4c54" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a348ba125b5dd1e6ee310de01c8ae4c54" > operations_research::math_opt::Result::warnings< / a > < / div > < div class = "ttdeci" > std::vector< std::string > warnings< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00269" > result.h:269< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a5511ef5b247197964fac748cc4a8de1f" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a5511ef5b247197964fac748cc4a8de1f" > operations_research::math_opt::Result::ray_dual_values< / a > < / div > < div class = "ttdeci" > const LinearConstraintMap< double > & ray_dual_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00242" > result.h:242< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a6183bb2e39fee640317587be62b8a5e6" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a6183bb2e39fee640317587be62b8a5e6" > operations_research::math_opt::Result::solve_stats< / a > < / div > < div class = "ttdeci" > SolveStatsProto solve_stats< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00273" > result.h:273< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a62c089ac76f862b590837a1e3222255a" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a62c089ac76f862b590837a1e3222255a" > operations_research::math_opt::Result::has_basis< / a > < / div > < div class = "ttdeci" > bool has_basis() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00255" > result.h:255< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a6e4b0ba0339c6172e9bfa3df9f8c61d8" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a6e4b0ba0339c6172e9bfa3df9f8c61d8" > operations_research::math_opt::Result::primal_rays< / a > < / div > < div class = "ttdeci" > std::vector< PrimalRay > primal_rays< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00277" > result.h:277< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a712271fcdb3e50439c4802d9983f93de" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a712271fcdb3e50439c4802d9983f93de" > operations_research::math_opt::Result::has_solution< / a > < / div > < div class = "ttdeci" > bool has_solution() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00187" > result.h:187< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a7427661813c1b5a8a05d02b913eadfc9" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a7427661813c1b5a8a05d02b913eadfc9" > operations_research::math_opt::Result::termination_detail< / a > < / div > < div class = "ttdeci" > std::string termination_detail< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00272" > result.h:272< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a84f066c304d8bcbb9567be094feb9b08" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a84f066c304d8bcbb9567be094feb9b08" > operations_research::math_opt::Result::objective_value< / a > < / div > < div class = "ttdeci" > double objective_value() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00174" > result.h:174< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_a92d19a5e106290c1b90a5184a4826936" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#a92d19a5e106290c1b90a5184a4826936" > operations_research::math_opt::Result::has_ray< / a > < / div > < div class = "ttdeci" > bool has_ray() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00200" > result.h:200< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_aa40f46a9ffd7e5e740dd07f990d57078" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#aa40f46a9ffd7e5e740dd07f990d57078" > operations_research::math_opt::Result::termination_reason< / a > < / div > < div class = "ttdeci" > SolveResultProto::TerminationReason termination_reason< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00270" > result.h:270< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_aafa2eea97d94bf02b53add568f96a5b7" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#aafa2eea97d94bf02b53add568f96a5b7" > operations_research::math_opt::Result::ray_reduced_costs< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & ray_reduced_costs() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00249" > result.h:249< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_ab62d9dad5e21d92465fbe8c1d4b34369" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#ab62d9dad5e21d92465fbe8c1d4b34369" > operations_research::math_opt::Result::constraint_status< / a > < / div > < div class = "ttdeci" > const LinearConstraintMap< BasisStatus > & constraint_status() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00258" > result.h:258< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_ac4a6e078f25aa73eec5271d449a12532" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#ac4a6e078f25aa73eec5271d449a12532" > operations_research::math_opt::Result::variable_values< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & variable_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00191" > result.h:191< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_ac4f68c0ccada9fb3ecb536dc47843d40" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#ac4f68c0ccada9fb3ecb536dc47843d40" > operations_research::math_opt::Result::Result< / a > < / div > < div class = "ttdeci" > Result(IndexedModel *model, const SolveResultProto & solve_result)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8cc_source.html#l00049" > result.cc:49< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_acc1f8f5ed04e9ea770b526fa34d6076c" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#acc1f8f5ed04e9ea770b526fa34d6076c" > operations_research::math_opt::Result::reduced_costs< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & reduced_costs() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00227" > result.h:227< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_add1943472845692060a2649cea91b9e5" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#add1943472845692060a2649cea91b9e5" > operations_research::math_opt::Result::dual_solutions< / a > < / div > < div class = "ttdeci" > std::vector< DualSolution > dual_solutions< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00280" > result.h:280< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_ae649adda3768ef9a888061f9396903de" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#ae649adda3768ef9a888061f9396903de" > operations_research::math_opt::Result::has_dual_solution< / a > < / div > < div class = "ttdeci" > bool has_dual_solution() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00213" > result.h:213< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_af8a0308f391215b9c41b855832504054" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#af8a0308f391215b9c41b855832504054" > operations_research::math_opt::Result::dual_rays< / a > < / div > < div class = "ttdeci" > std::vector< DualRay > dual_rays< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00281" > result.h:281< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_result_html_affcbde612045e8c0013c9c8b8c571aa4" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_result.html#affcbde612045e8c0013c9c8b8c571aa4" > operations_research::math_opt::Result::basis< / a > < / div > < div class = "ttdeci" > std::vector< Basis > basis< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "result_8h_source.html#l00287" > result.h:287< / a > < / div > < / div >
< 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 >
2021-04-27 23:00:03 +02:00
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