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< a href = "christofides_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 >
< div class = "line" > < a id = "l00003" name = "l00003" > < / a > < span class = "lineno" > 3< / span > < span class = "comment" > // you may not use this file except in compliance with the License.< / span > < / div >
< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
< div class = "line" > < a id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < span class = "comment" > // http://www.apache.org/licenses/LICENSE-2.0< / span > < / div >
< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "comment" > // distributed under the License is distributed on an " AS IS" BASIS,< / span > < / div >
< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > 10< / span > < span class = "comment" > // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.< / span > < / div >
< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "comment" > // See the License for the specific language governing permissions and< / span > < / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "comment" > // limitations under the License.< / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "comment" > // ChristofidesPathSolver computes an approximate solution to the Traveling< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "comment" > // Salesman Problen using the Christofides algorithm (c.f.< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > // https://en.wikipedia.org/wiki/Christofides_algorithm).< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "comment" > // Note that the algorithm guarantees finding a solution within 3/2 of the< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "comment" > // optimum when using minimum weight perfect matching in the matching phase.< / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "comment" > // The complexity of the algorithm is dominated by the complexity of the< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > // matching algorithm: O(n^2 * log(n)) if minimal matching is used, or at least< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "comment" > // O(n^3) or O(nmlog(n)) otherwise, depending on the implementation of the< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "comment" > // perfect matching algorithm used, where n is the number of nodes and m is the< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "comment" > // number of edges of the subgraph induced by odd-degree nodes of the minimum< / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "comment" > // spanning tree.< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "preprocessor" > #ifndef OR_TOOLS_GRAPH_CHRISTOFIDES_H_< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "preprocessor" > #define OR_TOOLS_GRAPH_CHRISTOFIDES_H_< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "preprocessor" > #include < cstdint> < / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "preprocessor" > #include " absl/status/status.h" < / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "preprocessor" > #include " absl/status/statusor.h" < / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "preprocessor" > #include " < a class = "code" href = "integral__types_8h.html" > ortools/base/integral_types.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / 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 = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "preprocessor" > #include " < a class = "code" href = "eulerian__path_8h.html" > ortools/graph/eulerian_path.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "preprocessor" > #include " < a class = "code" href = "graph_8h.html" > ortools/graph/graph.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "preprocessor" > #include " < a class = "code" href = "minimum__spanning__tree_8h.html" > ortools/graph/minimum_spanning_tree.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "preprocessor" > #include " < a class = "code" href = "perfect__matching_8h.html" > ortools/graph/perfect_matching.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "preprocessor" > #include " < a class = "code" href = "linear__solver_8h.html" > ortools/linear_solver/linear_solver.h< / a > " < / span > < / div >
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< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "preprocessor" > #include " ortools/linear_solver/linear_solver.pb.h" < / span > < / div >
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< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "preprocessor" > #include " < a class = "code" href = "saturated__arithmetic_8h.html" > ortools/util/saturated_arithmetic.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > using ::util::CompleteGraph;< / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > CostType, < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > = int64_t,< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > = int32_t,< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "keyword" > typename< / span > CostFunction = std::function< CostType(< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > )> > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html" > 50< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_christofides_path_solver.html" > ChristofidesPathSolver< / a > {< / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html#a1d4f082de5fc3eed348d65eb30b5f3e7" > 52< / a > < / span > < span class = "keyword" > enum class< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_christofides_path_solver.html#a1d4f082de5fc3eed348d65eb30b5f3e7" > MatchingAlgorithm< / a > {< / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > MINIMUM_WEIGHT_MATCHING,< / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "preprocessor" > #if defined(USE_CBC) || defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > MINIMUM_WEIGHT_MATCHING_WITH_MIP,< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // defined(USE_CBC) || defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > MINIMAL_WEIGHT_MATCHING,< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > };< / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#a87145cf1f5a36d27fd856596a23d495a" > ChristofidesPathSolver< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > num_nodes, CostFunction costs);< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > // Sets the matching algorithm to use. A minimum weight perfect matching< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // (MINIMUM_WEIGHT_MATCHING) guarantees the 3/2 upper bound to the optimal< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // solution. A minimal weight perfect matching (MINIMAL_WEIGHT_MATCHING)< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "comment" > // finds a locally minimal weight matching which does not offer any bound< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > // guarantee but, as of 1/2017, is orders of magnitude faster than the< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "comment" > // minimum matching.< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "comment" > // By default, MINIMAL_WEIGHT_MATCHING is selected.< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "comment" > // TODO(user): Change the default when minimum matching gets faster.< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html#ae2b64dddd58baf1bc5e01cb14971e52e" > 69< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#ae2b64dddd58baf1bc5e01cb14971e52e" > SetMatchingAlgorithm< / a > (< a class = "code hl_enumeration" href = "classoperations__research_1_1_christofides_path_solver.html#a1d4f082de5fc3eed348d65eb30b5f3e7" > MatchingAlgorithm< / a > matching) {< / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > matching_ = matching;< / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > }< / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > // Returns the cost of the approximate TSP tour.< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > CostType < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#ab558649a26fef3a74f0909ef5af45e90" > TravelingSalesmanCost< / a > ();< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "comment" > // Returns the approximate TSP tour.< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > std::vector< NodeIndex> < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#a3076d9001536ea98d419faa81e7d8a47" > TravelingSalesmanPath< / a > ();< / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "comment" > // Runs the Christofides algorithm. Returns true if a solution was found,< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "comment" > // false otherwise.< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#a942f29030f08426e7e318204e987e2f7" > Solve< / a > ();< / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > int64_t SafeAdd(int64_t < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , int64_t < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ) { < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291" > CapAdd< / a > (< a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > , < a class = "code hl_variable" href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > ); }< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "comment" > // Matching algorithm to use.< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_christofides_path_solver.html#a1d4f082de5fc3eed348d65eb30b5f3e7" > MatchingAlgorithm< / a > matching_;< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "comment" > // The complete graph on the nodes of the problem.< / span > < / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > CompleteGraph< NodeIndex, ArcIndex> graph_;< / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "comment" > // Function returning the cost between nodes of the problem.< / span > < / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < span class = "keyword" > const< / span > CostFunction costs_;< / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "comment" > // The cost of the computed TSP path.< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > CostType tsp_cost_;< / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > // The path of the computed TSP,< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > std::vector< NodeIndex> tsp_path_;< / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "comment" > // True if the TSP has been solved, false otherwise.< / span > < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "keywordtype" > bool< / span > solved_;< / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > };< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < span class = "comment" > // Computes a minimum weight perfect matching on an undirected graph.< / span > < / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > WeightFunctionType, < span class = "keyword" > typename< / span > GraphType> < / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > absl::StatusOr< std::vector< < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > std::pair< typename GraphType::NodeIndex, typename GraphType::NodeIndex> > > < / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research.html#acc1ef62538cd0faf409f9900fd6e2ae8" > 109< / a > < / span > < a class = "code hl_function" href = "namespaceoperations__research.html#acc1ef62538cd0faf409f9900fd6e2ae8" > ComputeMinimumWeightMatching< / a > (< span class = "keyword" > const< / span > GraphType& graph,< / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "keyword" > const< / span > WeightFunctionType& < a class = "code hl_variable" href = "pack_8cc.html#a4255f714cea26cdd64f6a0ee72d34a8c" > weight< / a > ) {< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "keyword" > using< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > = < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > GraphType::ArcIndex< / a > ;< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "keyword" > using< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > = < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > GraphType::NodeIndex< / a > ;< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < a class = "code hl_class" href = "classoperations__research_1_1_min_cost_perfect_matching.html" > MinCostPerfectMatching< / a > matching(graph.num_nodes());< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > : graph.AllNodes()) {< / div >
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< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : graph.OutgoingArcs(< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > )) {< / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > = graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > );< / div >
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< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "comment" > // Adding both arcs is redudant for MinCostPerfectMatching.< / span > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > < < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > ) {< / div >
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< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > matching.< a class = "code hl_function" href = "classoperations__research_1_1_min_cost_perfect_matching.html#a132e58de7ebb46a1ba677b77f6e60907" > AddEdgeWithCost< / a > (< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > , < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > , < a class = "code hl_variable" href = "pack_8cc.html#a4255f714cea26cdd64f6a0ee72d34a8c" > weight< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ));< / div >
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< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > }< / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > }< / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > }< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_min_cost_perfect_matching.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > MinCostPerfectMatching::Status< / a > < a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > = matching.< a class = "code hl_function" href = "classoperations__research_1_1_min_cost_perfect_matching.html#a00a07ecd49cf20c2806ebbcd1f5dcbb1" > Solve< / a > ();< / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > != < a class = "code hl_enumvalue" href = "classoperations__research_1_1_min_cost_perfect_matching.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > MinCostPerfectMatching::OPTIMAL< / a > ) {< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < span class = "keywordflow" > return< / span > absl::InvalidArgumentError(< span class = "stringliteral" > " Perfect matching failed" < / span > );< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > }< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > std::vector< std::pair< NodeIndex, NodeIndex> > match;< / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > : graph.AllNodes()) {< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > = matching.< a class = "code hl_function" href = "classoperations__research_1_1_min_cost_perfect_matching.html#a14613ae615a2f7b740548dee2f3924fe" > Match< / a > (< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > );< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > < < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > ) { < span class = "comment" > // Both arcs are matched for a given edge, we keep one.< / span > < / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > match.emplace_back(< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > , < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > );< / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > }< / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > }< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "keywordflow" > return< / span > match;< / 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 > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "preprocessor" > #if defined(USE_CBC) || defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "comment" > // Computes a minimum weight perfect matching on an undirected graph using a< / span > < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < span class = "comment" > // Mixed Integer Programming model.< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "comment" > // TODO(user): Handle infeasible cases if this algorithm is used outside of< / span > < / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "comment" > // Christofides.< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > WeightFunctionType, < span class = "keyword" > typename< / span > GraphType> < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > absl::StatusOr< std::vector< < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > std::pair< typename GraphType::NodeIndex, typename GraphType::NodeIndex> > > < / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > < a class = "line" href = "namespaceoperations__research.html#a53bf12f941f978cc1b1b985816c1fbdf" > 145< / a > < / span > < a class = "code hl_function" href = "namespaceoperations__research.html#a53bf12f941f978cc1b1b985816c1fbdf" > ComputeMinimumWeightMatchingWithMIP< / a > (< span class = "keyword" > const< / span > GraphType& graph,< / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "keyword" > const< / span > WeightFunctionType& < a class = "code hl_variable" href = "pack_8cc.html#a4255f714cea26cdd64f6a0ee72d34a8c" > weight< / a > ) {< / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > < span class = "keyword" > using< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > = < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > GraphType::ArcIndex< / a > ;< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < span class = "keyword" > using< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > = < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > GraphType::NodeIndex< / a > ;< / div >
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< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > MPModelProto < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > ;< / div >
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< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .set_maximize(< span class = "keyword" > false< / span > );< / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "comment" > // The model is composed of Boolean decision variables to select matching arcs< / span > < / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "comment" > // and constraints ensuring that each node appears in exactly one selected< / span > < / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "comment" > // arc. The objective is to minimize the sum of the weights of selected arcs.< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "comment" > // It is assumed the graph is symmetrical.< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > std::vector< int> variable_indices(graph.num_arcs(), -1);< / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > node : graph.AllNodes()) {< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "comment" > // Creating arc-selection Boolean variable.< / span > < / div >
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< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : graph.OutgoingArcs(node)) {< / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > = graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > );< / div >
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< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "keywordflow" > if< / span > (node < < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > ) {< / div >
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< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > variable_indices[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ] = < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .variable_size();< / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > MPVariableProto* < span class = "keyword" > const< / span > arc_var = < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .add_variable();< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > arc_var-> set_lower_bound(0);< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > arc_var-> set_upper_bound(1);< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > arc_var-> set_is_integer(< span class = "keyword" > true< / span > );< / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > arc_var-> set_objective_coefficient(< a class = "code hl_variable" href = "pack_8cc.html#a4255f714cea26cdd64f6a0ee72d34a8c" > weight< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ));< / div >
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< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > }< / 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 > < span class = "comment" > // Creating matching constraint:< / span > < / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < span class = "comment" > // for all node i, sum(j) arc(i,j) + sum(j) arc(j,i) = 1< / span > < / div >
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< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > MPConstraintProto* < span class = "keyword" > const< / span > one_of_ct = < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .add_constraint();< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > one_of_ct-> set_lower_bound(1);< / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > one_of_ct-> set_upper_bound(1);< / div >
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< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > }< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > node : graph.AllNodes()) {< / div >
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< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : graph.OutgoingArcs(node)) {< / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > = graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > );< / div >
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< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < span class = "keywordflow" > if< / span > (node < < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > ) {< / div >
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< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > arc_var = variable_indices[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ];< / div >
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< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < a class = "code hl_define" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (arc_var, 0);< / div >
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< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > MPConstraintProto* one_of_ct = < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .mutable_constraint(node);< / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > one_of_ct-> add_var_index(arc_var);< / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > one_of_ct-> add_coefficient(1);< / div >
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< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > one_of_ct = < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .mutable_constraint(< a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > );< / div >
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< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > one_of_ct-> add_var_index(arc_var);< / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > one_of_ct-> add_coefficient(1);< / div >
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< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > }< / 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 > }< / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < span class = "preprocessor" > #if defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < a class = "code hl_class" href = "classoperations__research_1_1_m_p_solver.html" > MPSolver< / a > mp_solver(< span class = "stringliteral" > " MatchingWithSCIP" < / span > ,< / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_m_p_solver.html#a76c87990aabadd148304b95332a60ff8a83b85675904f261c34c280b2abdcd9ae" > MPSolver::SCIP_MIXED_INTEGER_PROGRAMMING< / a > );< / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "preprocessor" > #elif defined(USE_CBC)< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < a class = "code hl_class" href = "classoperations__research_1_1_m_p_solver.html" > MPSolver< / a > mp_solver(< span class = "stringliteral" > " MatchingWithCBC" < / span > ,< / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_m_p_solver.html#a76c87990aabadd148304b95332a60ff8ad183dc62c63346a3b984b93fbda0137a" > MPSolver::CBC_MIXED_INTEGER_PROGRAMMING< / a > );< / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "preprocessor" > #endif< / span > < / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > std::string error;< / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > mp_solver.< a class = "code hl_function" href = "classoperations__research_1_1_m_p_solver.html#ab0f83070e72cee887e874382ee6d6958" > LoadModelFromProto< / a > (< a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , & error);< / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587d" > MPSolver::ResultStatus< / a > < a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > = mp_solver.< a class = "code hl_function" href = "classoperations__research_1_1_m_p_solver.html#acede9075c58cb2f506c99a9fe6f20303" > Solve< / a > ();< / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > != < a class = "code hl_enumvalue" href = "classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad" > MPSolver::OPTIMAL< / a > ) {< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < span class = "keywordflow" > return< / span > absl::InvalidArgumentError(< span class = "stringliteral" > " MIP-based matching failed" < / span > );< / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > }< / div >
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< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > MPSolutionResponse < a class = "code hl_variable" href = "cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829" > response< / a > ;< / div >
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< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > mp_solver.< a class = "code hl_function" href = "classoperations__research_1_1_m_p_solver.html#a018794097e44ee8189380eef2b0f267f" > FillSolutionResponseProto< / a > (& < a class = "code hl_variable" href = "cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829" > response< / a > );< / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > std::vector< std::pair< NodeIndex, NodeIndex> > matching;< / div >
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< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > = 0; < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > < variable_indices.size(); ++< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ) {< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > arc_var = variable_indices[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ];< / div >
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< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < span class = "keywordflow" > if< / span > (arc_var > = 0 & & < a class = "code hl_variable" href = "cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829" > response< / a > .variable_value(arc_var) > .9) {< / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > < a class = "code hl_define" href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > (< a class = "code hl_variable" href = "cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829" > response< / a > .variable_value(arc_var), 1.0 - 1e-4);< / div >
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< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > matching.emplace_back(graph.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ), graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ));< / div >
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< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > }< / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > }< / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > < span class = "keywordflow" > return< / span > matching;< / 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 = "preprocessor" > #endif < / span > < span class = "comment" > // defined(USE_CBC) || defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > CostType, < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > ,< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < span class = "keyword" > typename< / span > CostFunction> < / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html#a87145cf1f5a36d27fd856596a23d495a" > 219< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#a87145cf1f5a36d27fd856596a23d495a" > ChristofidesPathSolver< CostType, ArcIndex, NodeIndex, CostFunction> ::< / a > < / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < a class = "code hl_function" href = "classoperations__research_1_1_christofides_path_solver.html#a87145cf1f5a36d27fd856596a23d495a" > ChristofidesPathSolver< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > num_nodes, CostFunction costs)< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > : matching_(< a class = "code hl_enumeration" href = "classoperations__research_1_1_christofides_path_solver.html#a1d4f082de5fc3eed348d65eb30b5f3e7" > MatchingAlgorithm< / a > ::MINIMAL_WEIGHT_MATCHING),< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > graph_(num_nodes),< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > costs_(< a class = "code hl_namespace" href = "namespacestd.html" > std< / a > ::move(costs)),< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > tsp_cost_(0),< / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > solved_(false) {}< / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > CostType, < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > ,< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < span class = "keyword" > typename< / span > CostFunction> < / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > CostType < a class = "code hl_class" href = "classoperations__research_1_1_christofides_path_solver.html" > ChristofidesPathSolver< / a > < CostType, < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > ,< / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html#ab558649a26fef3a74f0909ef5af45e90" > 230< / a > < / span > CostFunction> ::TravelingSalesmanCost() {< / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "keywordflow" > if< / span > (!solved_) {< / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < span class = "keywordtype" > bool< / span > < span class = "keyword" > const< / span > ok = < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > Solve< / a > ();< / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (ok);< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > }< / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < span class = "keywordflow" > return< / span > tsp_cost_;< / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > }< / 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 = "keyword" > template< / span > < < span class = "keyword" > typename< / span > CostType, < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > ,< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < span class = "keyword" > typename< / span > CostFunction> < / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > std::vector< NodeIndex> < a class = "code hl_class" href = "classoperations__research_1_1_christofides_path_solver.html" > ChristofidesPathSolver< / a > < < / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html#a3076d9001536ea98d419faa81e7d8a47" > 241< / a > < / span > CostType, < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > , CostFunction> ::TravelingSalesmanPath() {< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > < span class = "keywordflow" > if< / span > (!solved_) {< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > bool< / span > ok = < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > Solve< / a > ();< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (ok);< / 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 > < span class = "keywordflow" > return< / span > tsp_path_;< / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > }< / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > < / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > CostType, < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > ,< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < span class = "keyword" > typename< / span > CostFunction> < / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_class" href = "classoperations__research_1_1_christofides_path_solver.html" > ChristofidesPathSolver< / a > < CostType, < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > ,< / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_christofides_path_solver.html#a942f29030f08426e7e318204e987e2f7" > 252< / a > < / span > CostFunction> < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > ::Solve< / a > () {< / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > num_nodes = graph_.num_nodes();< / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > tsp_path_.clear();< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > tsp_cost_ = 0;< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < span class = "keywordflow" > if< / span > (num_nodes == 1) {< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > tsp_path_ = {0, 0};< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > }< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < span class = "keywordflow" > if< / span > (num_nodes < = 1) {< / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / 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 > < span class = "comment" > // Compute Minimum Spanning Tree.< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "keyword" > const< / span > std::vector< ArcIndex> mst =< / div >
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< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > < a class = "code hl_function" href = "namespaceoperations__research.html#aa7f6b276e52d86253d0798bc37f4994e" > BuildPrimMinimumSpanningTree< / a > (graph_, [< span class = "keyword" > this< / span > ](< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ) {< / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < span class = "keywordflow" > return< / span > costs_(graph_.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ), graph_.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ));< / div >
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< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > });< / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < span class = "comment" > // Detect odd degree nodes.< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > std::vector< NodeIndex> degrees(num_nodes, 0);< / div >
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< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : mst) {< / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > degrees[graph_.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )]++;< / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > degrees[graph_.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )]++;< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / span > }< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > std::vector< NodeIndex> odd_degree_nodes;< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < degrees.size(); ++i) {< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "keywordflow" > if< / span > (degrees[i] % 2 != 0) {< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > odd_degree_nodes.push_back(i);< / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > }< / 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" > // Find minimum-weight perfect matching on odd-degree-node complete graph.< / span > < / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > < span class = "comment" > // TODO(user): Make this code available as an independent algorithm.< / span > < / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > 281< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > reduced_size = odd_degree_nodes.size();< / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > (0, reduced_size);< / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > CompleteGraph< NodeIndex, ArcIndex> reduced_graph(reduced_size);< / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > std::vector< std::pair< NodeIndex, NodeIndex> > closure_arcs;< / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > < span class = "keywordflow" > switch< / span > (matching_) {< / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > < span class = "keywordflow" > case< / span > MatchingAlgorithm::MINIMUM_WEIGHT_MATCHING: {< / div >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > 287< / span > < span class = "keyword" > auto< / span > result = < a class = "code hl_function" href = "namespaceoperations__research.html#acc1ef62538cd0faf409f9900fd6e2ae8" > ComputeMinimumWeightMatching< / a > (< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > reduced_graph, [< span class = "keyword" > this< / span > , & reduced_graph,< / div >
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< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > & odd_degree_nodes](< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > CompleteGraph< > ::ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ) {< / div >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > 290< / span > < span class = "keywordflow" > return< / span > costs_(odd_degree_nodes[reduced_graph.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )],< / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > odd_degree_nodes[reduced_graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )]);< / div >
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< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > });< / div >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > < span class = "keywordflow" > if< / span > (!result.ok()) {< / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > }< / div >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > 296< / span > result-> swap(closure_arcs);< / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > < span class = "keywordflow" > break< / 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 > < span class = "preprocessor" > #if defined(USE_CBC) || defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > < span class = "keywordflow" > case< / span > MatchingAlgorithm::MINIMUM_WEIGHT_MATCHING_WITH_MIP: {< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > < span class = "keyword" > auto< / span > result = < a class = "code hl_function" href = "namespaceoperations__research.html#a53bf12f941f978cc1b1b985816c1fbdf" > ComputeMinimumWeightMatchingWithMIP< / a > (< / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > 302< / span > reduced_graph, [< span class = "keyword" > this< / span > , & reduced_graph,< / div >
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< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > & odd_degree_nodes](< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > CompleteGraph< > ::ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ) {< / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > < span class = "keywordflow" > return< / span > costs_(odd_degree_nodes[reduced_graph.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )],< / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > odd_degree_nodes[reduced_graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )]);< / div >
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< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > 306< / span > });< / div >
< div class = "line" > < a id = "l00307" name = "l00307" > < / a > < span class = "lineno" > 307< / span > < span class = "keywordflow" > if< / span > (!result.ok()) {< / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > 308< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > }< / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > result-> swap(closure_arcs);< / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > }< / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // defined(USE_CBC) || defined(USE_SCIP)< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > < span class = "keywordflow" > case< / span > MatchingAlgorithm::MINIMAL_WEIGHT_MATCHING: {< / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > 315< / span > < span class = "comment" > // TODO(user): Cost caching was added and can gain up to 20% but< / span > < / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < span class = "comment" > // increases memory usage; see if we can avoid caching.< / span > < / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > std::vector< ArcIndex> ordered_arcs(reduced_graph.num_arcs());< / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > 318< / span > std::vector< CostType> ordered_arc_costs(reduced_graph.num_arcs(), 0);< / div >
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< div class = "line" > < a id = "l00319" name = "l00319" > < / a > < span class = "lineno" > 319< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : reduced_graph.AllForwardArcs()) {< / div >
< div class = "line" > < a id = "l00320" name = "l00320" > < / a > < span class = "lineno" > 320< / span > ordered_arcs[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ] = < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ;< / div >
< div class = "line" > < a id = "l00321" name = "l00321" > < / a > < span class = "lineno" > 321< / span > ordered_arc_costs[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ] =< / div >
< div class = "line" > < a id = "l00322" name = "l00322" > < / a > < span class = "lineno" > 322< / span > costs_(odd_degree_nodes[reduced_graph.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )],< / div >
< div class = "line" > < a id = "l00323" name = "l00323" > < / a > < span class = "lineno" > 323< / span > odd_degree_nodes[reduced_graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )]);< / div >
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< div class = "line" > < a id = "l00324" name = "l00324" > < / a > < span class = "lineno" > 324< / span > }< / div >
< div class = "line" > < a id = "l00325" name = "l00325" > < / a > < span class = "lineno" > 325< / span > std::sort(ordered_arcs.begin(), ordered_arcs.end(),< / div >
< div class = "line" > < a id = "l00326" name = "l00326" > < / a > < span class = "lineno" > 326< / span > [& ordered_arc_costs](< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > arc_a, < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > arc_b) {< / div >
< div class = "line" > < a id = "l00327" name = "l00327" > < / a > < span class = "lineno" > 327< / span > return ordered_arc_costs[arc_a] < ordered_arc_costs[arc_b];< / div >
< div class = "line" > < a id = "l00328" name = "l00328" > < / a > < span class = "lineno" > 328< / span > });< / div >
< div class = "line" > < a id = "l00329" name = "l00329" > < / a > < span class = "lineno" > 329< / span > std::vector< bool> touched_nodes(reduced_size, < span class = "keyword" > false< / span > );< / div >
< div class = "line" > < a id = "l00330" name = "l00330" > < / a > < span class = "lineno" > 330< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > arc_index = 0; closure_arcs.size() * 2 < reduced_size;< / div >
< div class = "line" > < a id = "l00331" name = "l00331" > < / a > < span class = "lineno" > 331< / span > ++arc_index) {< / div >
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< div class = "line" > < a id = "l00332" name = "l00332" > < / a > < span class = "lineno" > 332< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > = ordered_arcs[arc_index];< / div >
< div class = "line" > < a id = "l00333" name = "l00333" > < / a > < span class = "lineno" > 333< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > = reduced_graph.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > );< / div >
< div class = "line" > < a id = "l00334" name = "l00334" > < / a > < span class = "lineno" > 334< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > = reduced_graph.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > );< / div >
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< div class = "line" > < a id = "l00335" name = "l00335" > < / a > < span class = "lineno" > 335< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > != < a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > & & !touched_nodes[< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > ] & & !touched_nodes[< a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > ]) {< / div >
< div class = "line" > < a id = "l00336" name = "l00336" > < / a > < span class = "lineno" > 336< / span > touched_nodes[< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > ] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00337" name = "l00337" > < / a > < span class = "lineno" > 337< / span > touched_nodes[< a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > ] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00338" name = "l00338" > < / a > < span class = "lineno" > 338< / span > closure_arcs.emplace_back(< a class = "code hl_variable" href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > , < a class = "code hl_variable" href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > );< / div >
< div class = "line" > < a id = "l00339" name = "l00339" > < / a > < span class = "lineno" > 339< / span > }< / div >
< div class = "line" > < a id = "l00340" name = "l00340" > < / a > < span class = "lineno" > 340< / span > }< / div >
< div class = "line" > < a id = "l00341" name = "l00341" > < / a > < span class = "lineno" > 341< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00342" name = "l00342" > < / a > < span class = "lineno" > 342< / span > }< / div >
< div class = "line" > < a id = "l00343" name = "l00343" > < / a > < span class = "lineno" > 343< / span > }< / div >
< div class = "line" > < a id = "l00344" name = "l00344" > < / a > < span class = "lineno" > 344< / span > < span class = "comment" > // Build Eulerian path on minimum spanning tree + closing edges from matching< / span > < / div >
< div class = "line" > < a id = "l00345" name = "l00345" > < / a > < span class = "lineno" > 345< / span > < span class = "comment" > // and extract a solution to the Traveling Salesman from the path by skipping< / span > < / div >
< div class = "line" > < a id = "l00346" name = "l00346" > < / a > < span class = "lineno" > 346< / span > < span class = "comment" > // duplicate nodes.< / span > < / div >
< div class = "line" > < a id = "l00347" name = "l00347" > < / a > < span class = "lineno" > 347< / span > < a class = "code hl_class" href = "classutil_1_1_reverse_arc_list_graph.html" > ::util::ReverseArcListGraph< NodeIndex, ArcIndex> < / a > egraph(< / div >
< div class = "line" > < a id = "l00348" name = "l00348" > < / a > < span class = "lineno" > 348< / span > num_nodes, closure_arcs.size() + mst.size());< / div >
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< div class = "line" > < a id = "l00349" name = "l00349" > < / a > < span class = "lineno" > 349< / span > < span class = "keywordflow" > for< / span > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : mst) {< / div >
< div class = "line" > < a id = "l00350" name = "l00350" > < / a > < span class = "lineno" > 350< / span > egraph.< a class = "code hl_function" href = "classutil_1_1_reverse_arc_list_graph.html#a7b505ba4a01bce342d049f5a8674da72" > AddArc< / a > (graph_.Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ), graph_.Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ));< / div >
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< div class = "line" > < a id = "l00351" name = "l00351" > < / a > < span class = "lineno" > 351< / span > }< / div >
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< div class = "line" > < a id = "l00352" name = "l00352" > < / a > < span class = "lineno" > 352< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > : closure_arcs) {< / div >
< div class = "line" > < a id = "l00353" name = "l00353" > < / a > < span class = "lineno" > 353< / span > egraph.< a class = "code hl_function" href = "classutil_1_1_reverse_arc_list_graph.html#a7b505ba4a01bce342d049f5a8674da72" > AddArc< / a > (odd_degree_nodes[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > .first], odd_degree_nodes[< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > .second]);< / div >
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< div class = "line" > < a id = "l00354" name = "l00354" > < / a > < span class = "lineno" > 354< / span > }< / div >
< div class = "line" > < a id = "l00355" name = "l00355" > < / a > < span class = "lineno" > 355< / span > std::vector< bool> touched(num_nodes, < span class = "keyword" > false< / span > );< / div >
< div class = "line" > < a id = "l00356" name = "l00356" > < / a > < span class = "lineno" > 356< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (< a class = "code hl_function" href = "namespaceoperations__research.html#ab1cf773de0cae72d0c44efe5b8f4bb89" > IsEulerianGraph< / a > (egraph));< / div >
< div class = "line" > < a id = "l00357" name = "l00357" > < / a > < span class = "lineno" > 357< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > node : < a class = "code hl_function" href = "namespaceoperations__research.html#a5b4f8ac7471140527e6105ccc6e69c59" > BuildEulerianTourFromNode< / a > (egraph, 0)) {< / div >
< div class = "line" > < a id = "l00358" name = "l00358" > < / a > < span class = "lineno" > 358< / span > < span class = "keywordflow" > if< / span > (touched[node]) < span class = "keywordflow" > continue< / span > ;< / div >
< div class = "line" > < a id = "l00359" name = "l00359" > < / a > < span class = "lineno" > 359< / span > touched[node] = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00360" name = "l00360" > < / a > < span class = "lineno" > 360< / span > tsp_cost_ = SafeAdd(tsp_cost_,< / div >
< div class = "line" > < a id = "l00361" name = "l00361" > < / a > < span class = "lineno" > 361< / span > tsp_path_.empty() ? 0 : costs_(tsp_path_.back(), node));< / div >
< div class = "line" > < a id = "l00362" name = "l00362" > < / a > < span class = "lineno" > 362< / span > tsp_path_.push_back(node);< / div >
< div class = "line" > < a id = "l00363" name = "l00363" > < / a > < span class = "lineno" > 363< / span > }< / div >
< div class = "line" > < a id = "l00364" name = "l00364" > < / a > < span class = "lineno" > 364< / span > tsp_cost_ =< / div >
< div class = "line" > < a id = "l00365" name = "l00365" > < / a > < span class = "lineno" > 365< / span > SafeAdd(tsp_cost_, tsp_path_.empty() ? 0 : costs_(tsp_path_.back(), 0));< / div >
< div class = "line" > < a id = "l00366" name = "l00366" > < / a > < span class = "lineno" > 366< / span > tsp_path_.push_back(0);< / div >
< div class = "line" > < a id = "l00367" name = "l00367" > < / a > < span class = "lineno" > 367< / span > solved_ = < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00368" name = "l00368" > < / a > < span class = "lineno" > 368< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > true< / span > ;< / div >
< div class = "line" > < a id = "l00369" name = "l00369" > < / a > < span class = "lineno" > 369< / span > }< / div >
< div class = "line" > < a id = "l00370" name = "l00370" > < / a > < span class = "lineno" > 370< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a id = "l00371" name = "l00371" > < / a > < span class = "lineno" > 371< / span > < / div >
< div class = "line" > < a id = "l00372" name = "l00372" > < / a > < span class = "lineno" > 372< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_GRAPH_CHRISTOFIDES_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 >
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< div class = "ttc" id = "abase_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0" > < div class = "ttname" > < a href = "base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0" > DCHECK_NE< / a > < / div > < div class = "ttdeci" > #define DCHECK_NE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00892" > base/logging.h:892< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295" > < div class = "ttname" > < a href = "base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295" > DCHECK_GE< / a > < / div > < div class = "ttdeci" > #define DCHECK_GE(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00895" > base/logging.h:895< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006" > < div class = "ttname" > < a href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > < / div > < div class = "ttdeci" > #define DCHECK(condition)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00890" > base/logging.h:890< / a > < / div > < / div >
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< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html" > operations_research::ChristofidesPathSolver< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00050" > christofides.h:50< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html_a1d4f082de5fc3eed348d65eb30b5f3e7" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html#a1d4f082de5fc3eed348d65eb30b5f3e7" > operations_research::ChristofidesPathSolver::MatchingAlgorithm< / a > < / div > < div class = "ttdeci" > MatchingAlgorithm< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00052" > christofides.h:52< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html_a3076d9001536ea98d419faa81e7d8a47" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html#a3076d9001536ea98d419faa81e7d8a47" > operations_research::ChristofidesPathSolver::TravelingSalesmanPath< / a > < / div > < div class = "ttdeci" > std::vector< NodeIndex > TravelingSalesmanPath()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00241" > christofides.h:241< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html_a87145cf1f5a36d27fd856596a23d495a" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html#a87145cf1f5a36d27fd856596a23d495a" > operations_research::ChristofidesPathSolver::ChristofidesPathSolver< / a > < / div > < div class = "ttdeci" > ChristofidesPathSolver(NodeIndex num_nodes, CostFunction costs)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00219" > christofides.h:220< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html_a942f29030f08426e7e318204e987e2f7" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html#a942f29030f08426e7e318204e987e2f7" > operations_research::ChristofidesPathSolver::Solve< / a > < / div > < div class = "ttdeci" > bool Solve()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00252" > christofides.h:252< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html_ab558649a26fef3a74f0909ef5af45e90" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html#ab558649a26fef3a74f0909ef5af45e90" > operations_research::ChristofidesPathSolver::TravelingSalesmanCost< / a > < / div > < div class = "ttdeci" > CostType TravelingSalesmanCost()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00230" > christofides.h:230< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_christofides_path_solver_html_ae2b64dddd58baf1bc5e01cb14971e52e" > < div class = "ttname" > < a href = "classoperations__research_1_1_christofides_path_solver.html#ae2b64dddd58baf1bc5e01cb14971e52e" > operations_research::ChristofidesPathSolver::SetMatchingAlgorithm< / a > < / div > < div class = "ttdeci" > void SetMatchingAlgorithm(MatchingAlgorithm matching)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00069" > christofides.h:69< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html" > operations_research::MPSolver< / a > < / div > < div class = "ttdoc" > This mathematical programming (MP) solver class is the main class though which users build and solve ...< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8h_source.html#l00182" > linear_solver.h:182< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_a018794097e44ee8189380eef2b0f267f" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#a018794097e44ee8189380eef2b0f267f" > operations_research::MPSolver::FillSolutionResponseProto< / a > < / div > < div class = "ttdeci" > void FillSolutionResponseProto(MPSolutionResponse *response) const< / div > < div class = "ttdoc" > Encodes the current solution in a solution response protocol buffer.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8cc_source.html#l00823" > linear_solver.cc:823< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_a573d479910e373f5d771d303e440587d" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587d" > operations_research::MPSolver::ResultStatus< / a > < / div > < div class = "ttdeci" > ResultStatus< / div > < div class = "ttdoc" > The status of solving the problem.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8h_source.html#l00442" > linear_solver.h:442< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad" > operations_research::MPSolver::OPTIMAL< / a > < / div > < div class = "ttdeci" > @ OPTIMAL< / div > < div class = "ttdoc" > optimal.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8h_source.html#l00444" > linear_solver.h:444< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_a76c87990aabadd148304b95332a60ff8a83b85675904f261c34c280b2abdcd9ae" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#a76c87990aabadd148304b95332a60ff8a83b85675904f261c34c280b2abdcd9ae" > operations_research::MPSolver::SCIP_MIXED_INTEGER_PROGRAMMING< / a > < / div > < div class = "ttdeci" > @ SCIP_MIXED_INTEGER_PROGRAMMING< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8h_source.html#l00203" > linear_solver.h:203< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_a76c87990aabadd148304b95332a60ff8ad183dc62c63346a3b984b93fbda0137a" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#a76c87990aabadd148304b95332a60ff8ad183dc62c63346a3b984b93fbda0137a" > operations_research::MPSolver::CBC_MIXED_INTEGER_PROGRAMMING< / a > < / div > < div class = "ttdeci" > @ CBC_MIXED_INTEGER_PROGRAMMING< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8h_source.html#l00205" > linear_solver.h:205< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_ab0f83070e72cee887e874382ee6d6958" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#ab0f83070e72cee887e874382ee6d6958" > operations_research::MPSolver::LoadModelFromProto< / a > < / div > < div class = "ttdeci" > MPSolverResponseStatus LoadModelFromProto(const MPModelProto & input_model, std::string *error_message)< / div > < div class = "ttdoc" > Loads model from protocol buffer.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8cc_source.html#l00649" > linear_solver.cc:649< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_m_p_solver_html_acede9075c58cb2f506c99a9fe6f20303" > < div class = "ttname" > < a href = "classoperations__research_1_1_m_p_solver.html#acede9075c58cb2f506c99a9fe6f20303" > operations_research::MPSolver::Solve< / a > < / div > < div class = "ttdeci" > ResultStatus Solve()< / div > < div class = "ttdoc" > Solves the problem using the default parameter values.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "linear__solver_8cc_source.html#l01395" > linear_solver.cc:1395< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1_min_cost_perfect_matching_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_min_cost_perfect_matching.html" > operations_research::MinCostPerfectMatching< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "perfect__matching_8h_source.html#l00052" > perfect_matching.h:52< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_min_cost_perfect_matching_html_a00a07ecd49cf20c2806ebbcd1f5dcbb1" > < div class = "ttname" > < a href = "classoperations__research_1_1_min_cost_perfect_matching.html#a00a07ecd49cf20c2806ebbcd1f5dcbb1" > operations_research::MinCostPerfectMatching::Solve< / a > < / div > < div class = "ttdeci" > ABSL_MUST_USE_RESULT Status Solve()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "perfect__matching_8cc_source.html#l00042" > perfect_matching.cc:42< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_min_cost_perfect_matching_html_a132e58de7ebb46a1ba677b77f6e60907" > < div class = "ttname" > < a href = "classoperations__research_1_1_min_cost_perfect_matching.html#a132e58de7ebb46a1ba677b77f6e60907" > operations_research::MinCostPerfectMatching::AddEdgeWithCost< / a > < / div > < div class = "ttdeci" > void AddEdgeWithCost(int tail, int head, int64_t cost)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "perfect__matching_8cc_source.html#l00030" > perfect_matching.cc:30< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_min_cost_perfect_matching_html_a14613ae615a2f7b740548dee2f3924fe" > < div class = "ttname" > < a href = "classoperations__research_1_1_min_cost_perfect_matching.html#a14613ae615a2f7b740548dee2f3924fe" > operations_research::MinCostPerfectMatching::Match< / a > < / div > < div class = "ttdeci" > int Match(int node) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "perfect__matching_8h_source.html#l00111" > perfect_matching.h:111< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_min_cost_perfect_matching_html_a67a0db04d321a74b7e7fcfd3f1a3f70b" > < div class = "ttname" > < a href = "classoperations__research_1_1_min_cost_perfect_matching.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > operations_research::MinCostPerfectMatching::Status< / a > < / div > < div class = "ttdeci" > Status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "perfect__matching_8h_source.html#l00083" > perfect_matching.h:83< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_min_cost_perfect_matching_html_a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > < div class = "ttname" > < a href = "classoperations__research_1_1_min_cost_perfect_matching.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > operations_research::MinCostPerfectMatching::OPTIMAL< / a > < / div > < div class = "ttdeci" > @ OPTIMAL< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "perfect__matching_8h_source.html#l00085" > perfect_matching.h:85< / a > < / div > < / div >
< div class = "ttc" id = "aclassutil_1_1_reverse_arc_list_graph_html" > < div class = "ttname" > < a href = "classutil_1_1_reverse_arc_list_graph.html" > util::ReverseArcListGraph< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "graph_8h_source.html#l00462" > graph.h:463< / a > < / div > < / div >
< div class = "ttc" id = "aclassutil_1_1_reverse_arc_list_graph_html_a7b505ba4a01bce342d049f5a8674da72" > < div class = "ttname" > < a href = "classutil_1_1_reverse_arc_list_graph.html#a7b505ba4a01bce342d049f5a8674da72" > util::ReverseArcListGraph::AddArc< / a > < / div > < div class = "ttdeci" > ArcIndexType AddArc(NodeIndexType tail, NodeIndexType head)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "graph_8h_source.html#l01508" > graph.h:1508< / a > < / div > < / div >
< div class = "ttc" id = "aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683" > < div class = "ttname" > < a href = "constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683" > b< / a > < / div > < div class = "ttdeci" > int64_t b< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "constraint__solver_2table_8cc_source.html#l00047" > constraint_solver/table.cc:47< / a > < / div > < / div >
< div class = "ttc" id = "aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6" > < div class = "ttname" > < a href = "constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6" > a< / a > < / div > < div class = "ttdeci" > int64_t a< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "constraint__solver_2table_8cc_source.html#l00046" > constraint_solver/table.cc:46< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "acp__model__solver_8cc_html_abcd33b18ce6d5a90a4ba5c37cfa58829" > < div class = "ttname" > < a href = "cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829" > response< / a > < / div > < div class = "ttdeci" > SharedResponseManager * response< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "cp__model__solver_8cc_source.html#l02052" > cp_model_solver.cc:2052< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aeulerian__path_8h_html" > < div class = "ttname" > < a href = "eulerian__path_8h.html" > eulerian_path.h< / a > < / div > < / div >
< div class = "ttc" id = "ag__gurobi_8cc_html_a2237393c7ae7ad7344c9885066d5ab6d" > < div class = "ttname" > < a href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > < / div > < div class = "ttdeci" > absl::Status status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "g__gurobi_8cc_source.html#l00035" > g_gurobi.cc:35< / a > < / div > < / div >
< div class = "ttc" id = "agraph_8h_html" > < div class = "ttname" > < a href = "graph_8h.html" > graph.h< / 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#l00274" > gurobi_interface.cc:274< / a > < / div > < / div >
< div class = "ttc" id = "aintegral__types_8h_html" > < div class = "ttname" > < a href = "integral__types_8h.html" > integral_types.h< / a > < / div > < / div >
< div class = "ttc" id = "alinear__solver_8h_html" > < div class = "ttname" > < a href = "linear__solver_8h.html" > linear_solver.h< / a > < / div > < div class = "ttdoc" > A C++ wrapper that provides a simple and unified interface to several linear programming and mixed in...< / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "alocal__search_8cc_html_a30b5726116ac85ea64777e5d6e333894" > < div class = "ttname" > < a href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > < / div > < div class = "ttdeci" > int arc< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "local__search_8cc_source.html#l02751" > local_search.cc:2751< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aminimum__spanning__tree_8h_html" > < div class = "ttname" > < a href = "minimum__spanning__tree_8h.html" > minimum_spanning_tree.h< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a5767ee23f380e72488d3c7ebf2d742b1" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > operations_research::math_opt::Solve< / a > < / div > < div class = "ttdeci" > absl::StatusOr< SolveResult > Solve(const Model & model, const SolverType solver_type, const SolveArguments & solve_args, const SolverInitArguments & init_args)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve_8cc_source.html#l00094" > solve.cc:94< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< 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 = "anamespaceoperations__research_html_a111f44b9b9cf67a8e8d83794ac9f5291" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291" > operations_research::CapAdd< / a > < / div > < div class = "ttdeci" > int64_t CapAdd(int64_t x, int64_t y)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "saturated__arithmetic_8h_source.html#l00126" > saturated_arithmetic.h:126< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_a53bf12f941f978cc1b1b985816c1fbdf" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a53bf12f941f978cc1b1b985816c1fbdf" > operations_research::ComputeMinimumWeightMatchingWithMIP< / a > < / div > < div class = "ttdeci" > absl::StatusOr< std::vector< std::pair< typename GraphType::NodeIndex, typename GraphType::NodeIndex > > > ComputeMinimumWeightMatchingWithMIP(const GraphType & graph, const WeightFunctionType & weight)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00145" > christofides.h:145< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_a5b4f8ac7471140527e6105ccc6e69c59" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a5b4f8ac7471140527e6105ccc6e69c59" > operations_research::BuildEulerianTourFromNode< / a > < / div > < div class = "ttdeci" > std::vector< NodeIndex > BuildEulerianTourFromNode(const Graph & graph, NodeIndex root)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "eulerian__path_8h_source.html#l00116" > eulerian_path.h:116< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_a7ae31ba4c3b4899478e53ca13df35dfc" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > operations_research::NodeIndex< / a > < / div > < div class = "ttdeci" > int32_t NodeIndex< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "ebert__graph_8h_source.html#l00201" > ebert_graph.h:193< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_aa7f6b276e52d86253d0798bc37f4994e" > < div class = "ttname" > < a href = "namespaceoperations__research.html#aa7f6b276e52d86253d0798bc37f4994e" > operations_research::BuildPrimMinimumSpanningTree< / a > < / div > < div class = "ttdeci" > std::vector< typename Graph::ArcIndex > BuildPrimMinimumSpanningTree(const Graph & graph, const ArcValue & arc_value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "minimum__spanning__tree_8h_source.html#l00115" > minimum_spanning_tree.h:115< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_ab1cf773de0cae72d0c44efe5b8f4bb89" > < div class = "ttname" > < a href = "namespaceoperations__research.html#ab1cf773de0cae72d0c44efe5b8f4bb89" > operations_research::IsEulerianGraph< / a > < / div > < div class = "ttdeci" > bool IsEulerianGraph(const Graph & graph)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "eulerian__path_8h_source.html#l00040" > eulerian_path.h:40< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_acc1ef62538cd0faf409f9900fd6e2ae8" > < div class = "ttname" > < a href = "namespaceoperations__research.html#acc1ef62538cd0faf409f9900fd6e2ae8" > operations_research::ComputeMinimumWeightMatching< / a > < / div > < div class = "ttdeci" > absl::StatusOr< std::vector< std::pair< typename GraphType::NodeIndex, typename GraphType::NodeIndex > > > ComputeMinimumWeightMatching(const GraphType & graph, const WeightFunctionType & weight)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "christofides_8h_source.html#l00109" > christofides.h:109< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_aecf320bda6e95d1edaf3a546673e3e6b" > < div class = "ttname" > < a href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > operations_research::ArcIndex< / a > < / div > < div class = "ttdeci" > int32_t ArcIndex< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "ebert__graph_8h_source.html#l00202" > ebert_graph.h:202< / a > < / div > < / div >
< div class = "ttc" id = "anamespacestd_html" > < div class = "ttname" > < a href = "namespacestd.html" > std< / a > < / div > < div class = "ttdoc" > STL namespace.< / div > < / div >
< div class = "ttc" id = "apack_8cc_html_a4255f714cea26cdd64f6a0ee72d34a8c" > < div class = "ttname" > < a href = "pack_8cc.html#a4255f714cea26cdd64f6a0ee72d34a8c" > weight< / a > < / div > < div class = "ttdeci" > int64_t weight< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "pack_8cc_source.html#l00510" > pack.cc:510< / a > < / div > < / div >
< div class = "ttc" id = "aperfect__matching_8h_html" > < div class = "ttname" > < a href = "perfect__matching_8h.html" > perfect_matching.h< / a > < / div > < / div >
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