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< a href = "max__flow_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" > // An implementation of a push-relabel algorithm for the max flow problem.< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > // In the following, we consider a graph G = (V,E,s,t) where V denotes the set< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "comment" > // of nodes (vertices) in the graph, E denotes the set of arcs (edges). s and t< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "comment" > // denote distinguished nodes in G called source and target. n = |V| denotes the< / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "comment" > // number of nodes in the graph, and m = |E| denotes the number of arcs in the< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > // graph.< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "comment" > // Each arc (v,w) is associated a capacity c(v,w).< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "comment" > // A flow is a function from E to R such that:< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "comment" > // a) f(v,w) < = c(v,w) for all (v,w) in E (capacity constraint.)< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > // b) f(v,w) = -f(w,v) for all (v,w) in E (flow antisymmetry constraint.)< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // c) sum on v f(v,w) = 0 (flow conservation.)< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > // The goal of this algorithm is to find the maximum flow from s to t, i.e.< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > // for example to maximize sum v f(s,v).< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > // The starting reference for this class of algorithms is:< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // A.V. Goldberg and R.E. Tarjan. A new approach to the maximum flow problem.< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > // ACM Symposium on Theory of Computing, pp. 136-146.< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "comment" > // http://portal.acm.org/citation.cfm?id=12144.< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // The basic idea of the algorithm is to handle preflows instead of flows,< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > // and to refine preflows until a maximum flow is obtained.< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > // A preflow is like a flow, except that the inflow can be larger than the< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // outflow. If it is the case at a given node v, it is said that there is an< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "comment" > // excess at node v, and inflow = outflow + excess.< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "comment" > // More formally, a preflow is a function f such that:< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "comment" > // 1) f(v,w) < = c(v,w) for all (v,w) in E (capacity constraint). c(v,w) is a< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "comment" > // value representing the maximum capacity for arc (v,w).< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "comment" > // 2) f(v,w) = -f(w,v) for all (v,w) in E (flow antisymmetry constraint)< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "comment" > // 3) excess(v) = sum on u f(u,v) > = 0 is the excess at node v, the< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "comment" > // algebraic sum of all the incoming preflows at this node.< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "comment" > // Each node has an associated " height" , in addition to its excess. The< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "comment" > // height of the source is defined to be equal to n, and cannot change. The< / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "comment" > // height of the target is defined to be zero, and cannot change either. The< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "comment" > // height of all the other nodes is initialized at zero and is updated during< / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < span class = "comment" > // the algorithm (see below). For those who want to know the details, the height< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > // of a node, corresponds to a reduced cost, and this enables one to prove that< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // the algorithm actually computes the max flow. Note that the height of a node< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // can be initialized to the distance to the target node in terms of number of< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "comment" > // nodes. This has not been tried in this implementation.< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "comment" > // A node v is said to be *active* if excess(v) > 0.< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "comment" > // In this case the following operations can be applied to it:< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > // - if there are *admissible* incident arcs, i.e. arcs which are not saturated,< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "comment" > // and whose head' s height is lower than the height of the active node< / span > < / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < span class = "comment" > // considered, a PushFlow operation can be applied. It consists in sending as< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "comment" > // much flow as both the excess at the node and the capacity of the arc< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "comment" > // permit.< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "comment" > // - if there are no admissible arcs, the active node considered is relabeled,< / span > < / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "comment" > // i.e. its height is increased to 1 + the minimum height of its neighboring< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "comment" > // nodes on admissible arcs.< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "comment" > // This is implemented in Discharge, which itself calls PushFlow and Relabel.< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "comment" > // Before running Discharge, it is necessary to initialize the algorithm with a< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "comment" > // preflow. This is done in InitializePreflow, which saturates all the arcs< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "comment" > // leaving the source node, and sets the excess at the heads of those arcs< / span > < / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "comment" > // accordingly.< / span > < / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "comment" > // The algorithm terminates when there are no remaining active nodes, i.e. all< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "comment" > // the excesses at all nodes are equal to zero. In this case, a maximum flow is< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "comment" > // obtained.< / span > < / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "comment" > // The complexity of this algorithm depends amongst other things on the choice< / span > < / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < span class = "comment" > // of the next active node. It has been shown, for example in:< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "comment" > // L. Tuncel, " On the Complexity of Preflow-Push Algorithms for Maximum-Flow< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "comment" > // Problems" , Algorithmica 11(4): 353-359 (1994).< / span > < / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < span class = "comment" > // and< / span > < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "comment" > // J. Cheriyan and K. Mehlhorn, " An analysis of the highest-level selection rule< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "comment" > // in the preflow-push max-flow algorithm" , Information processing letters,< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < span class = "comment" > // 69(5):239-242 (1999).< / span > < / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < span class = "comment" > // http://www.math.uwaterloo.ca/~jcheriya/PS_files/me3.0.ps< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < span class = "comment" > // ...that choosing the active node with the highest level yields a< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "comment" > // complexity of O(n^2 * sqrt(m)).< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "comment" > // TODO(user): implement the above active node choice rule.< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < span class = "comment" > // This has been validated experimentally in:< / span > < / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < span class = "comment" > // R.K. Ahuja, M. Kodialam, A.K. Mishra, and J.B. Orlin, " Computational< / span > < / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < span class = "comment" > // Investigations of Maximum Flow Algorithms" , EJOR 97:509-542(1997).< / span > < / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < span class = "comment" > // http://jorlin.scripts.mit.edu/docs/publications/58-comput%20investigations%20of.pdf.< / span > < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "comment" > // TODO(user): an alternative would be to evaluate:< / span > < / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "comment" > // A.V. Goldberg, " The Partial Augment-Relabel Algorithm for the Maximum Flow< / span > < / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "comment" > // Problem.” In Proceedings of Algorithms ESA, LNCS 5193:466-477, Springer 2008.< / span > < / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "comment" > // http://www.springerlink.com/index/5535k2j1mt646338.pdf< / span > < / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "comment" > // An interesting general reference on network flows is:< / span > < / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "comment" > // R. K. Ahuja, T. L. Magnanti, J. B. Orlin, " Network Flows: Theory, Algorithms,< / span > < / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "comment" > // and Applications," Prentice Hall, 1993, ISBN: 978-0136175490,< / span > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "comment" > // http://www.amazon.com/dp/013617549X< / span > < / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < span class = "comment" > // Keywords: Push-relabel, max-flow, network, graph, Goldberg, Tarjan, Dinic,< / span > < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "comment" > // Dinitz.< / 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 > < span class = "preprocessor" > #ifndef OR_TOOLS_GRAPH_MAX_FLOW_H_< / span > < / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < span class = "preprocessor" > #define OR_TOOLS_GRAPH_MAX_FLOW_H_< / span > < / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < span class = "preprocessor" > #include < algorithm> < / span > < / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < span class = "preprocessor" > #include < memory> < / span > < / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < span class = "preprocessor" > #include < string> < / span > < / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / 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 = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / 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 = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > < span class = "preprocessor" > #include " < a class = "code" href = "macros_8h.html" > ortools/base/macros.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "preprocessor" > #include " < a class = "code" href = "ebert__graph_8h.html" > ortools/graph/ebert_graph.h< / a > " < / span > < / div >
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< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > < span class = "preprocessor" > #include " ortools/graph/flow_problem.pb.h" < / span > < / div >
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< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < span class = "preprocessor" > #include " < a class = "code" href = "graph_8h.html" > ortools/graph/graph.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "preprocessor" > #include " < a class = "code" href = "stats_8h.html" > ortools/util/stats.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "preprocessor" > #include " < a class = "code" href = "zvector_8h.html" > ortools/util/zvector.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research.html" > operations_research< / a > {< / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "comment" > // Forward declaration.< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Graph> < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "keyword" > class < / span > GenericMaxFlow;< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "comment" > // A simple and efficient max-cost flow interface. This is as fast as< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > < span class = "comment" > // GenericMaxFlow< ReverseArcStaticGraph> , which is the fastest, but uses< / span > < / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < span class = "comment" > // more memory in order to hide the somewhat involved construction of the< / span > < / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > < span class = "comment" > // static graph.< / span > < / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "comment" > // TODO(user): If the need arises, extend this interface to support warm start.< / span > < / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_simple_max_flow.html" > 152< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_simple_max_flow.html" > SimpleMaxFlow< / a > {< / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "comment" > // The constructor takes no size.< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "comment" > // New node indices will be created lazily by AddArcWithCapacity().< / span > < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a0b218e6bdef5560b441d7dc1b47d897f" > SimpleMaxFlow< / a > ();< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "comment" > // Adds a directed arc with the given capacity from tail to head.< / span > < / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "comment" > // * Node indices and capacity must be non-negative (> = 0).< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "comment" > // * Self-looping and duplicate arcs are supported.< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "comment" > // * After the method finishes, NumArcs() == the returned ArcIndex + 1.< / span > < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a9d8699dbc3e3b9cadc36d4fd5ee29dce" > AddArcWithCapacity< / a > (< 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 > , < 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 > ,< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec" > capacity< / a > );< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < span class = "comment" > // Returns the current number of nodes. This is one more than the largest< / span > < / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > < span class = "comment" > // node index seen so far in AddArcWithCapacity().< / span > < / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a3be0f6fcc44bc6a4a1e976c1e60b31d0" > NumNodes< / a > () < span class = "keyword" > const< / 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" > // Returns the current number of arcs in the graph.< / span > < / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a7898be8b7efbfe53a58fcf621cf41315" > NumArcs< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > < span class = "comment" > // Returns user-provided data.< / span > < / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > < span class = "comment" > // The implementation will crash if " arc" is not in [0, NumArcs()).< / span > < / div >
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< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#ab49dbdb731f80e626e575bdf66835f46" > Tail< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#aa5f729a6274027e5e5478e4bd76603ca" > Head< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a9dcd8610149406a1593d2a0725290482" > Capacity< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > < / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < span class = "comment" > // Solves the problem (finds the maximum flow from the given source to the< / span > < / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > < span class = "comment" > // given sink), and returns the problem status.< / span > < / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > 180< / a > < / span > < span class = "keyword" > enum< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > Status< / a > {< / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > < span class = "comment" > // Solve() was called and found an optimal solution. Note that OptimalFlow()< / span > < / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < span class = "comment" > // may be 0 which means that the sink is not reachable from the source.< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > 183< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > OPTIMAL< / a > ,< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > < span class = "comment" > // There is a flow > std::numeric_limits< FlowQuantity> ::max(). Note that in< / span > < / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > < span class = "comment" > // this case, the class will contain a solution with a flow reaching that< / span > < / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < span class = "comment" > // bound.< / span > < / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < span class = "comment" > // TODO(user): rename POSSIBLE_OVERFLOW to INT_OVERFLOW and modify our< / span > < / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < span class = "comment" > // clients.< / span > < / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba63e6c2750d99f3c548e6a08bb6822fe2" > 190< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba63e6c2750d99f3c548e6a08bb6822fe2" > POSSIBLE_OVERFLOW< / a > ,< / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < span class = "comment" > // The input is inconsistent (bad tail/head/capacity values).< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > 192< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > BAD_INPUT< / a > ,< / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "comment" > // This should not happen. There was an error in our code (i.e. file a bug).< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > BAD_RESULT< / a > < / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > 195< / a > < / span > };< / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > Status< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a57f5767b51471aa3c021db1cb451726e" > Solve< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > source, < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > sink);< / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "comment" > // Returns the maximum flow we can send from the source to the sink in the< / span > < / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "comment" > // last OPTIMAL Solve() context.< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a865dfd15177ea8b4cd75a34ab9cee1b1" > OptimalFlow< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > < span class = "comment" > // Returns the flow on the given arc in the last OPTIMAL Solve() context.< / span > < / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < span class = "comment" > // Note: It is possible that there is more than one optimal solution. The< / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "comment" > // algorithm is deterministic so it will always return the same solution for< / span > < / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "comment" > // a given problem. However, there is no guarantee of this from one code< / span > < / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "comment" > // version to the next (but the code does not change often).< / span > < / div >
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< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a2a420ad8221c326064736ccf148d2f93" > Flow< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > < / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > < span class = "comment" > // Returns the nodes reachable from the source by non-saturated arcs (.i.e.< / span > < / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > < span class = "comment" > // arc with Flow(arc) < Capacity(arc)), the outgoing arcs of this set form a< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "comment" > // minimum cut. This works only if Solve() returned OPTIMAL.< / span > < / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a4ede8a987bfe0972a51942bbca22d4c1" > GetSourceSideMinCut< / a > (std::vector< NodeIndex> * result);< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > < / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < span class = "comment" > // Returns the nodes that can reach the sink by non-saturated arcs, the< / span > < / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < span class = "comment" > // outgoing arcs of this set form a minimum cut. Note that if this is the< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < span class = "comment" > // complement set of GetNodeReachableFromSource(), then the min-cut is unique.< / span > < / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < span class = "comment" > // This works only if Solve() returned OPTIMAL.< / span > < / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#ad8ca9f0f372e03f5cf3af1e163230792" > GetSinkSideMinCut< / a > (std::vector< NodeIndex> * result);< / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > < span class = "comment" > // Change the capacity of an arc.< / span > < / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > < span class = "comment" > // WARNING: This looks like it enables incremental solves, but as of 2018-02,< / span > < / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > < span class = "comment" > // the next Solve() will restart from scratch anyway.< / span > < / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > < span class = "comment" > // TODO(user): Support incrementality in the max flow implementation.< / span > < / div >
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< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#ac7bfd46bed70e12f118aa53df0c26769" > SetArcCapacity< / a > (< 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 > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec" > capacity< / a > );< / div >
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< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > < / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < span class = "comment" > // Creates the protocol buffer representation of the current problem.< / span > < / div >
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< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > FlowModelProto < a class = "code hl_function" href = "classoperations__research_1_1_simple_max_flow.html#a15e490be6ec543ed3025f6add59231b9" > CreateFlowModelProto< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > source, < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > sink) < span class = "keyword" > const< / span > ;< / div >
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< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > num_nodes_;< / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > std::vector< NodeIndex> arc_tail_;< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > std::vector< NodeIndex> arc_head_;< / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > std::vector< FlowQuantity> arc_capacity_;< / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > std::vector< ArcIndex> arc_permutation_;< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > std::vector< FlowQuantity> arc_flow_;< / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > optimal_flow_;< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < span class = "comment" > // Note that we cannot free the graph before we stop using the max-flow< / span > < / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > < span class = "comment" > // instance that uses it.< / span > < / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > typedef ::util::ReverseArcStaticGraph< NodeIndex, ArcIndex> Graph;< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > std::unique_ptr< Graph> underlying_graph_;< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > std::unique_ptr< GenericMaxFlow< Graph> > underlying_max_flow_;< / 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 > DISALLOW_COPY_AND_ASSIGN(< a class = "code hl_class" href = "classoperations__research_1_1_simple_max_flow.html" > SimpleMaxFlow< / a > );< / 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 = "comment" > // Specific but efficient priority queue implementation. The priority type must< / span > < / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < span class = "comment" > // be an integer. The queue allows to retrieve the element with highest priority< / span > < / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "comment" > // but only allows pushes with a priority greater or equal to the highest< / span > < / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > < span class = "comment" > // priority in the queue minus one. All operations are in O(1) and the memory is< / span > < / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "comment" > // in O(num elements in the queue). Elements with the same priority are< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < span class = "comment" > // retrieved with LIFO order.< / span > < / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < span class = "comment" > // Note(user): As far as I know, this is an original idea and is the only code< / span > < / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > < span class = "comment" > // that use this in the Maximum Flow context. Papers usually refer to an< / span > < / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > < span class = "comment" > // height-indexed array of simple linked lists of active node with the same< / span > < / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < span class = "comment" > // height. Even worse, sometimes they use double-linked list to allow arbitrary< / span > < / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > < span class = "comment" > // height update in order to detect missing height (used for the Gap heuristic).< / span > < / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > < span class = "comment" > // But this can actually be implemented a lot more efficiently by just< / span > < / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < span class = "comment" > // maintaining the height distribution of all the node in the graph.< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Element, < span class = "keyword" > typename< / span > IntegerPriority> < / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html" > 264< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html" > PriorityQueueWithRestrictedPush< / a > {< / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a3b2c821405c1875d5f8975e1ceae6a60" > 266< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a3b2c821405c1875d5f8975e1ceae6a60" > PriorityQueueWithRestrictedPush< / a > () : even_queue_(), odd_queue_() {}< / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < span class = "comment" > // Is the queue empty?< / span > < / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a8e12342fc420701fbffd97025421575a" > 269< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > < / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > < span class = "comment" > // Clears the queue.< / span > < / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#aa71d36872f416feaa853788a7a7a7ef8" > 272< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#aa71d36872f416feaa853788a7a7a7ef8" > Clear< / a > ();< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > < / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < span class = "comment" > // Push a new element in the queue. Its priority must be greater or equal to< / span > < / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "comment" > // the highest priority present in the queue, minus one. This condition is< / span > < / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > < span class = "comment" > // DCHECKed, and violating it yields erroneous queue behavior in NDEBUG mode.< / span > < / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a83681186fdc5615ec1185ad4075e1023" > 277< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a83681186fdc5615ec1185ad4075e1023" > Push< / a > (Element element, IntegerPriority priority);< / 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" > // Returns the element with highest priority and remove it from the queue.< / span > < / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > < span class = "comment" > // IsEmpty() must be false, this condition is DCHECKed.< / span > < / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#af355586ee86be2298efe2e81367eeffe" > 281< / a > < / span > Element < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#af355586ee86be2298efe2e81367eeffe" > Pop< / a > ();< / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > < span class = "comment" > // Helper function to get the last element of a vector and pop it.< / span > < / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > Element PopBack(std::vector< std::pair< Element, IntegerPriority> > * queue);< / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > < / div >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > 287< / span > < span class = "comment" > // This is the heart of the algorithm. basically we split the elements by< / span > < / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > < span class = "comment" > // parity of their priority and the precondition on the Push() ensures that< / span > < / div >
< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > < span class = "comment" > // both vectors are always sorted by increasing priority.< / span > < / div >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > 290< / span > std::vector< std::pair< Element, IntegerPriority> > even_queue_;< / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > std::vector< std::pair< Element, IntegerPriority> > odd_queue_;< / div >
< 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 > DISALLOW_COPY_AND_ASSIGN(< a class = "code hl_class" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html" > PriorityQueueWithRestrictedPush< / a > );< / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / 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 > < span class = "comment" > // We want an enum for the Status of a max flow run, and we want this< / span > < / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > < span class = "comment" > // enum to be scoped under GenericMaxFlow< > . Unfortunately, swig< / span > < / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > < span class = "comment" > // doesn' t handle templated enums very well, so we need a base,< / span > < / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > < span class = "comment" > // untemplated class to hold it.< / span > < / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html" > 300< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_max_flow_status_class.html" > MaxFlowStatusClass< / a > {< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > 302< / a > < / span > < span class = "keyword" > enum< / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > Status< / a > {< / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba0e6873a155f86a4695f463bf8601d05f" > 303< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba0e6873a155f86a4695f463bf8601d05f" > NOT_SOLVED< / a > , < span class = "comment" > // The problem was not solved, or its data were edited.< / span > < / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > 304< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > OPTIMAL< / a > , < span class = "comment" > // Solve() was called and found an optimal solution.< / span > < / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70baef3d63bf3419a0e33cd86b58fadc640b" > 305< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70baef3d63bf3419a0e33cd86b58fadc640b" > INT_OVERFLOW< / a > , < span class = "comment" > // There is a feasible flow > max possible flow.< / span > < / div >
< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > 306< / a > < / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > BAD_INPUT< / a > , < span class = "comment" > // The input is inconsistent.< / span > < / div >
< div class = "line" > < a id = "l00307" name = "l00307" > < / a > < span class = "lineno" > 307< / span > < a class = "code hl_enumvalue" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > BAD_RESULT< / a > < span class = "comment" > // There was an error.< / span > < / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > 308< / a > < / 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 > < / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > < span class = "comment" > // Generic MaxFlow (there is a default MaxFlow specialization defined below)< / span > < / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > < span class = "comment" > // that works with StarGraph and all the reverse arc graphs from graph.h, see< / span > < / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "comment" > // the end of max_flow.cc for the exact types this class is compiled for.< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Graph> < / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html" > 315< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_generic_max_flow.html" > GenericMaxFlow< / a > : < span class = "keyword" > public< / span > < a class = "code hl_class" href = "classoperations__research_1_1_max_flow_status_class.html" > MaxFlowStatusClass< / a > {< / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > 317< / a > < / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > Graph::NodeIndex< / a > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > ;< / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > 318< / a > < / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > typename< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > Graph::ArcIndex< / a > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > ;< / div >
< div class = "line" > < a id = "l00319" name = "l00319" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a0d012d3907b8306ddfc1a7089342fbe2" > 319< / a > < / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > typename< / span > Graph::OutgoingArcIterator < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a0d012d3907b8306ddfc1a7089342fbe2" > OutgoingArcIterator< / a > ;< / div >
< div class = "line" > < a id = "l00320" name = "l00320" > < / a > < span class = "lineno" > 320< / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > typename< / span > Graph::OutgoingOrOppositeIncomingArcIterator< / div >
< div class = "line" > < a id = "l00321" name = "l00321" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a277838ded7171a604a67babdbea05988" > 321< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a277838ded7171a604a67babdbea05988" > OutgoingOrOppositeIncomingArcIterator< / a > ;< / div >
< div class = "line" > < a id = "l00322" name = "l00322" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ab9d95dc874e5c2d424cecd251fd7ff82" > 322< / a > < / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > typename< / span > Graph::IncomingArcIterator < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#ab9d95dc874e5c2d424cecd251fd7ff82" > IncomingArcIterator< / a > ;< / div >
< div class = "line" > < a id = "l00323" name = "l00323" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ad2ab85b2912dbf12804d3d1ddea9ec15" > 323< / a > < / span > < span class = "keyword" > typedef< / span > < a class = "code hl_class" href = "classoperations__research_1_1_z_vector.html" > ZVector< ArcIndex> < / a > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#ad2ab85b2912dbf12804d3d1ddea9ec15" > ArcIndexArray< / a > ;< / div >
< 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 > < span class = "comment" > // The height of a node never excess 2 times the number of node, so we< / span > < / div >
< div class = "line" > < a id = "l00326" name = "l00326" > < / a > < span class = "lineno" > 326< / span > < span class = "comment" > // use the same type as a Node index.< / span > < / div >
< div class = "line" > < a id = "l00327" name = "l00327" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a798f41062d76af3baabada0c4c0580ea" > 327< / a > < / span > < span class = "keyword" > typedef< / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a798f41062d76af3baabada0c4c0580ea" > NodeHeight< / a > ;< / div >
< div class = "line" > < a id = "l00328" name = "l00328" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a852dcceddb3bc2642eb867cc3663c0fe" > 328< / a > < / span > < span class = "keyword" > typedef< / span > < a class = "code hl_class" href = "classoperations__research_1_1_z_vector.html" > ZVector< NodeHeight> < / a > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a852dcceddb3bc2642eb867cc3663c0fe" > NodeHeightArray< / a > ;< / div >
< div class = "line" > < a id = "l00329" name = "l00329" > < / a > < span class = "lineno" > 329< / span > < / div >
< div class = "line" > < a id = "l00330" name = "l00330" > < / a > < span class = "lineno" > 330< / span > < span class = "comment" > // Initialize a MaxFlow instance on the given graph. The graph does not need< / span > < / div >
< div class = "line" > < a id = "l00331" name = "l00331" > < / a > < span class = "lineno" > 331< / span > < span class = "comment" > // to be fully built yet, but its capacity reservation are used to initialize< / span > < / div >
< div class = "line" > < a id = "l00332" name = "l00332" > < / a > < span class = "lineno" > 332< / span > < span class = "comment" > // the memory of this class. source and sink must also be valid node of< / span > < / div >
< div class = "line" > < a id = "l00333" name = "l00333" > < / a > < span class = "lineno" > 333< / span > < span class = "comment" > // graph.< / span > < / div >
< div class = "line" > < a id = "l00334" name = "l00334" > < / a > < span class = "lineno" > 334< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#acef9fcefb0d5124677a8a9b460c30410" > GenericMaxFlow< / a > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478" > Graph< / a > * < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a88421a0f6fd8896906a4a4b86f41ca4f" > graph< / a > , < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > source, < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > sink);< / div >
< div class = "line" > < a id = "l00335" name = "l00335" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#abab657a2626df3ab99dfd21d811ff43c" > 335< / a > < / span > < span class = "keyword" > virtual< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#abab657a2626df3ab99dfd21d811ff43c" > ~GenericMaxFlow< / a > () {}< / div >
< div class = "line" > < a id = "l00336" name = "l00336" > < / a > < span class = "lineno" > 336< / span > < / div >
< div class = "line" > < a id = "l00337" name = "l00337" > < / a > < span class = "lineno" > 337< / span > < span class = "comment" > // Returns the graph associated to the current object.< / span > < / div >
< div class = "line" > < a id = "l00338" name = "l00338" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a88421a0f6fd8896906a4a4b86f41ca4f" > 338< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478" > Graph< / a > * < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a88421a0f6fd8896906a4a4b86f41ca4f" > graph< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ad88eea96f82ba29e252f3e07cdb84378" > graph_< / 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 > < span class = "comment" > // Returns the status of last call to Solve(). NOT_SOLVED is returned if< / span > < / div >
< div class = "line" > < a id = "l00341" name = "l00341" > < / a > < span class = "lineno" > 341< / span > < span class = "comment" > // Solve() has never been called or if the problem has been modified in such a< / span > < / div >
< div class = "line" > < a id = "l00342" name = "l00342" > < / a > < span class = "lineno" > 342< / span > < span class = "comment" > // way that the previous solution becomes invalid.< / span > < / div >
< div class = "line" > < a id = "l00343" name = "l00343" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#adb1490a44086db009cdb51f854a02a65" > 343< / a > < / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > Status< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#adb1490a44086db009cdb51f854a02a65" > status< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#abf8c6fcb7d9c9fa39e283d086f0bb345" > status_< / a > ; }< / div >
< div class = "line" > < a id = "l00344" name = "l00344" > < / a > < span class = "lineno" > 344< / span > < / div >
< div class = "line" > < a id = "l00345" name = "l00345" > < / a > < span class = "lineno" > 345< / span > < span class = "comment" > // Returns the index of the node corresponding to the source of the network.< / span > < / div >
< div class = "line" > < a id = "l00346" name = "l00346" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a29b76a85638e0b4ce0f715c5bbba3f81" > 346< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a29b76a85638e0b4ce0f715c5bbba3f81" > GetSourceNodeIndex< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aab4ab1dc9be85072322b17c1f56fe208" > source_< / a > ; }< / div >
< div class = "line" > < a id = "l00347" name = "l00347" > < / a > < span class = "lineno" > 347< / span > < / div >
< div class = "line" > < a id = "l00348" name = "l00348" > < / a > < span class = "lineno" > 348< / span > < span class = "comment" > // Returns the index of the node corresponding to the sink of the network.< / span > < / div >
< div class = "line" > < a id = "l00349" name = "l00349" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#af412987a2f98057ca8c6015782418eac" > 349< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#af412987a2f98057ca8c6015782418eac" > GetSinkNodeIndex< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aee97cd3a6def72d85d4685c134d11671" > sink_< / a > ; }< / div >
< div class = "line" > < a id = "l00350" name = "l00350" > < / a > < span class = "lineno" > 350< / span > < / div >
< div class = "line" > < a id = "l00351" name = "l00351" > < / a > < span class = "lineno" > 351< / span > < span class = "comment" > // Sets the capacity for arc to new_capacity.< / span > < / div >
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< div class = "line" > < a id = "l00352" name = "l00352" > < / a > < span class = "lineno" > 352< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a21776d0248204801a49c42b46902c1a1" > SetArcCapacity< / a > (< 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 > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > new_capacity);< / div >
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< div class = "line" > < a id = "l00353" name = "l00353" > < / a > < span class = "lineno" > 353< / span > < / div >
< div class = "line" > < a id = "l00354" name = "l00354" > < / a > < span class = "lineno" > 354< / span > < span class = "comment" > // Sets the flow for arc.< / span > < / div >
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< div class = "line" > < a id = "l00355" name = "l00355" > < / a > < span class = "lineno" > 355< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a38f480b60f3812345680d2267770ee5c" > SetArcFlow< / a > (< 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 > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > new_flow);< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00356" name = "l00356" > < / a > < span class = "lineno" > 356< / span > < / div >
< div class = "line" > < a id = "l00357" name = "l00357" > < / a > < span class = "lineno" > 357< / span > < span class = "comment" > // Returns true if a maximum flow was solved.< / span > < / div >
< div class = "line" > < a id = "l00358" name = "l00358" > < / a > < span class = "lineno" > 358< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a942f29030f08426e7e318204e987e2f7" > Solve< / a > ();< / div >
< div class = "line" > < a id = "l00359" name = "l00359" > < / a > < span class = "lineno" > 359< / span > < / div >
< div class = "line" > < a id = "l00360" name = "l00360" > < / a > < span class = "lineno" > 360< / span > < span class = "comment" > // Returns the total flow found by the algorithm.< / span > < / div >
< div class = "line" > < a id = "l00361" name = "l00361" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a142146c1af2855fc821d7bd4c0af6130" > 361< / a > < / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a142146c1af2855fc821d7bd4c0af6130" > GetOptimalFlow< / a > ()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#af63274e5211be9578b29f56f29936964" > node_excess_< / a > [< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aee97cd3a6def72d85d4685c134d11671" > sink_< / a > ]; }< / div >
< div class = "line" > < a id = "l00362" name = "l00362" > < / a > < span class = "lineno" > 362< / span > < / div >
< div class = "line" > < a id = "l00363" name = "l00363" > < / a > < span class = "lineno" > 363< / span > < span class = "comment" > // Returns the flow on arc using the equations given in the comment on< / span > < / div >
< div class = "line" > < a id = "l00364" name = "l00364" > < / a > < span class = "lineno" > 364< / span > < span class = "comment" > // residual_arc_capacity_.< / span > < / div >
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< div class = "line" > < a id = "l00365" name = "l00365" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a2a420ad8221c326064736ccf148d2f93" > 365< / a > < / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a2a420ad8221c326064736ccf148d2f93" > Flow< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00366" name = "l00366" > < / a > < span class = "lineno" > 366< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#af3a76f97fe869af7137bbc9a165353b1" > IsArcDirect< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )) {< / div >
< div class = "line" > < a id = "l00367" name = "l00367" > < / a > < span class = "lineno" > 367< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > [< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ae5ff1c955df682c39482f2cc5e23e900" > Opposite< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )];< / div >
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< div class = "line" > < a id = "l00368" name = "l00368" > < / a > < span class = "lineno" > 368< / span > } < span class = "keywordflow" > else< / span > {< / div >
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< div class = "line" > < a id = "l00369" name = "l00369" > < / a > < span class = "lineno" > 369< / span > < span class = "keywordflow" > return< / span > -< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > [< 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 = "l00370" name = "l00370" > < / a > < span class = "lineno" > 370< / 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 > < / div >
< div class = "line" > < a id = "l00373" name = "l00373" > < / a > < span class = "lineno" > 373< / span > < span class = "comment" > // Returns the capacity of arc using the equations given in the comment on< / span > < / div >
< div class = "line" > < a id = "l00374" name = "l00374" > < / a > < span class = "lineno" > 374< / span > < span class = "comment" > // residual_arc_capacity_.< / span > < / div >
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< div class = "line" > < a id = "l00375" name = "l00375" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a9dcd8610149406a1593d2a0725290482" > 375< / a > < / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a9dcd8610149406a1593d2a0725290482" > Capacity< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00376" name = "l00376" > < / a > < span class = "lineno" > 376< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#af3a76f97fe869af7137bbc9a165353b1" > IsArcDirect< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )) {< / div >
< div class = "line" > < a id = "l00377" name = "l00377" > < / a > < span class = "lineno" > 377< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > [< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ] +< / div >
< div class = "line" > < a id = "l00378" name = "l00378" > < / a > < span class = "lineno" > 378< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > [< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ae5ff1c955df682c39482f2cc5e23e900" > Opposite< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )];< / div >
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< div class = "line" > < a id = "l00379" name = "l00379" > < / a > < span class = "lineno" > 379< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00380" name = "l00380" > < / a > < span class = "lineno" > 380< / span > < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a id = "l00381" name = "l00381" > < / a > < span class = "lineno" > 381< / span > }< / div >
< div class = "line" > < a id = "l00382" name = "l00382" > < / a > < span class = "lineno" > 382< / span > }< / div >
< div class = "line" > < a id = "l00383" name = "l00383" > < / a > < span class = "lineno" > 383< / span > < / div >
< div class = "line" > < a id = "l00384" name = "l00384" > < / a > < span class = "lineno" > 384< / span > < span class = "comment" > // Returns the nodes reachable from the source in the residual graph, the< / span > < / div >
< div class = "line" > < a id = "l00385" name = "l00385" > < / a > < span class = "lineno" > 385< / span > < span class = "comment" > // outgoing arcs of this set form a minimum cut.< / span > < / div >
< div class = "line" > < a id = "l00386" name = "l00386" > < / a > < span class = "lineno" > 386< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a4ede8a987bfe0972a51942bbca22d4c1" > GetSourceSideMinCut< / a > (std::vector< NodeIndex> * result);< / div >
< div class = "line" > < a id = "l00387" name = "l00387" > < / a > < span class = "lineno" > 387< / span > < / div >
< div class = "line" > < a id = "l00388" name = "l00388" > < / a > < span class = "lineno" > 388< / span > < span class = "comment" > // Returns the nodes that can reach the sink in the residual graph, the< / span > < / div >
< div class = "line" > < a id = "l00389" name = "l00389" > < / a > < span class = "lineno" > 389< / span > < span class = "comment" > // outgoing arcs of this set form a minimum cut. Note that if this is the< / span > < / div >
< div class = "line" > < a id = "l00390" name = "l00390" > < / a > < span class = "lineno" > 390< / span > < span class = "comment" > // complement of GetNodeReachableFromSource(), then the min-cut is unique.< / span > < / div >
< div class = "line" > < a id = "l00391" name = "l00391" > < / a > < span class = "lineno" > 391< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00392" name = "l00392" > < / a > < span class = "lineno" > 392< / span > < span class = "comment" > // TODO(user): In the two-phases algorithm, we can get this minimum cut< / span > < / div >
< div class = "line" > < a id = "l00393" name = "l00393" > < / a > < span class = "lineno" > 393< / span > < span class = "comment" > // without doing the second phase. Add an option for this if there is a need< / span > < / div >
< div class = "line" > < a id = "l00394" name = "l00394" > < / a > < span class = "lineno" > 394< / span > < span class = "comment" > // to, note that the second phase is pretty fast so the gain will be small.< / span > < / div >
< div class = "line" > < a id = "l00395" name = "l00395" > < / a > < span class = "lineno" > 395< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ad8ca9f0f372e03f5cf3af1e163230792" > GetSinkSideMinCut< / a > (std::vector< NodeIndex> * result);< / div >
< div class = "line" > < a id = "l00396" name = "l00396" > < / a > < span class = "lineno" > 396< / span > < / div >
< div class = "line" > < a id = "l00397" name = "l00397" > < / a > < span class = "lineno" > 397< / span > < span class = "comment" > // Checks the consistency of the input, i.e. that capacities on the arcs are< / span > < / div >
< div class = "line" > < a id = "l00398" name = "l00398" > < / a > < span class = "lineno" > 398< / span > < span class = "comment" > // non-negative or null.< / span > < / div >
< div class = "line" > < a id = "l00399" name = "l00399" > < / a > < span class = "lineno" > 399< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a12ffc143b8d66de80c07572cc8509037" > CheckInputConsistency< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00400" name = "l00400" > < / a > < span class = "lineno" > 400< / span > < / div >
< div class = "line" > < a id = "l00401" name = "l00401" > < / a > < span class = "lineno" > 401< / span > < span class = "comment" > // Checks whether the result is valid, i.e. that node excesses are all equal< / span > < / div >
< div class = "line" > < a id = "l00402" name = "l00402" > < / a > < span class = "lineno" > 402< / span > < span class = "comment" > // to zero (we have a flow) and that residual capacities are all non-negative< / span > < / div >
< div class = "line" > < a id = "l00403" name = "l00403" > < / a > < span class = "lineno" > 403< / span > < span class = "comment" > // or zero.< / span > < / div >
< div class = "line" > < a id = "l00404" name = "l00404" > < / a > < span class = "lineno" > 404< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#aac87a51b41d88b6976a12007bae9b91d" > CheckResult< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00405" name = "l00405" > < / a > < span class = "lineno" > 405< / span > < / div >
< div class = "line" > < a id = "l00406" name = "l00406" > < / a > < span class = "lineno" > 406< / span > < span class = "comment" > // Returns true if there exists a path from the source to the sink with< / span > < / div >
< div class = "line" > < a id = "l00407" name = "l00407" > < / a > < span class = "lineno" > 407< / span > < span class = "comment" > // remaining capacity. This allows us to easily check at the end that the flow< / span > < / div >
< div class = "line" > < a id = "l00408" name = "l00408" > < / a > < span class = "lineno" > 408< / span > < span class = "comment" > // we computed is indeed optimal (provided that all the conditions tested by< / span > < / div >
< div class = "line" > < a id = "l00409" name = "l00409" > < / a > < span class = "lineno" > 409< / span > < span class = "comment" > // CheckResult() also hold).< / span > < / div >
< div class = "line" > < a id = "l00410" name = "l00410" > < / a > < span class = "lineno" > 410< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ad3f0f2aad2e5ba39481e3aad8de1fcda" > AugmentingPathExists< / a > () < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00411" name = "l00411" > < / a > < span class = "lineno" > 411< / span > < / div >
< div class = "line" > < a id = "l00412" name = "l00412" > < / a > < span class = "lineno" > 412< / span > < span class = "comment" > // Sets the different algorithm options. All default to true.< / span > < / div >
< div class = "line" > < a id = "l00413" name = "l00413" > < / a > < span class = "lineno" > 413< / span > < span class = "comment" > // See the corresponding variable declaration below for more details.< / span > < / div >
< div class = "line" > < a id = "l00414" name = "l00414" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a6b27587e2eba1f139e5b5b2609315aaa" > 414< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a6b27587e2eba1f139e5b5b2609315aaa" > SetUseGlobalUpdate< / a > (< span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ) {< / div >
< div class = "line" > < a id = "l00415" name = "l00415" > < / a > < span class = "lineno" > 415< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a3b2203f6789a10763c6ae978bf26b402" > use_global_update_< / a > = < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ;< / div >
< div class = "line" > < a id = "l00416" name = "l00416" > < / a > < span class = "lineno" > 416< / span > < span class = "keywordflow" > if< / span > (!< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a3b2203f6789a10763c6ae978bf26b402" > use_global_update_< / a > ) < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > process_node_by_height_< / a > = < span class = "keyword" > false< / span > ;< / div >
< div class = "line" > < a id = "l00417" name = "l00417" > < / a > < span class = "lineno" > 417< / span > }< / div >
< div class = "line" > < a id = "l00418" name = "l00418" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a4549e7f9a27adb25091a91101b8fddbd" > 418< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a4549e7f9a27adb25091a91101b8fddbd" > SetUseTwoPhaseAlgorithm< / a > (< span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ) { < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a689c39e9d4a7bdb9d64e270b8c9abcbd" > use_two_phase_algorithm_< / a > = < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ; }< / div >
< div class = "line" > < a id = "l00419" name = "l00419" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#aa76638d2f8eddf2c3d9778b3c1285010" > 419< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#aa76638d2f8eddf2c3d9778b3c1285010" > SetCheckInput< / a > (< span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ) { < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ad96578b8ab41d25a3daa9f219c168b9f" > check_input_< / a > = < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ; }< / div >
< div class = "line" > < a id = "l00420" name = "l00420" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#aa4e5f2ba9abcf71460c68a4903abc7bc" > 420< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#aa4e5f2ba9abcf71460c68a4903abc7bc" > SetCheckResult< / a > (< span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ) { < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a876e41aaef1635d059d9d79dd08bbfc3" > check_result_< / a > = < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ; }< / div >
< div class = "line" > < a id = "l00421" name = "l00421" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ae93d8aa8c02df69fd88f9cdd1463bae3" > 421< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ae93d8aa8c02df69fd88f9cdd1463bae3" > ProcessNodeByHeight< / a > (< span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ) {< / div >
< div class = "line" > < a id = "l00422" name = "l00422" > < / a > < span class = "lineno" > 422< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > process_node_by_height_< / a > = < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > & & < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a3b2203f6789a10763c6ae978bf26b402" > use_global_update_< / a > ;< / div >
< div class = "line" > < a id = "l00423" name = "l00423" > < / a > < span class = "lineno" > 423< / span > }< / div >
< div class = "line" > < a id = "l00424" name = "l00424" > < / a > < span class = "lineno" > 424< / span > < / div >
< div class = "line" > < a id = "l00425" name = "l00425" > < / a > < span class = "lineno" > 425< / span > < span class = "comment" > // Returns the protocol buffer representation of the current problem.< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00426" name = "l00426" > < / a > < span class = "lineno" > 426< / span > FlowModelProto < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a36cb25d76543d62ce93f2bfc693bf2df" > CreateFlowModel< / a > ();< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00427" name = "l00427" > < / a > < span class = "lineno" > 427< / span > < / div >
< div class = "line" > < a id = "l00428" name = "l00428" > < / a > < span class = "lineno" > 428< / span > < span class = "keyword" > protected< / span > :< / div >
< div class = "line" > < a id = "l00429" name = "l00429" > < / a > < span class = "lineno" > 429< / span > < span class = "comment" > // Returns true if arc is admissible.< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00430" name = "l00430" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a189d42cc721a58aa0b397cc44da875b7" > 430< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a189d42cc721a58aa0b397cc44da875b7" > IsAdmissible< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00431" name = "l00431" > < / a > < span class = "lineno" > 431< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > [< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ] > 0 & & < / div >
< div class = "line" > < a id = "l00432" name = "l00432" > < / a > < span class = "lineno" > 432< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a5b7429be4ec8b98658d0b035261b1483" > node_potential_< / a > [< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ab49dbdb731f80e626e575bdf66835f46" > Tail< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )] == < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a5b7429be4ec8b98658d0b035261b1483" > node_potential_< / a > [< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#aa5f729a6274027e5e5478e4bd76603ca" > Head< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )] + 1;< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00433" name = "l00433" > < / a > < span class = "lineno" > 433< / span > }< / div >
< div class = "line" > < a id = "l00434" name = "l00434" > < / a > < span class = "lineno" > 434< / span > < / div >
< div class = "line" > < a id = "l00435" name = "l00435" > < / a > < span class = "lineno" > 435< / span > < span class = "comment" > // Returns true if node is active, i.e. if its excess is positive and it< / span > < / div >
< div class = "line" > < a id = "l00436" name = "l00436" > < / a > < span class = "lineno" > 436< / span > < span class = "comment" > // is neither the source or the sink of the graph.< / span > < / div >
< div class = "line" > < a id = "l00437" name = "l00437" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#af337463a7577a73e5140bfe6518852b1" > 437< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#af337463a7577a73e5140bfe6518852b1" > IsActive< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > node)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00438" name = "l00438" > < / a > < span class = "lineno" > 438< / span > < span class = "keywordflow" > return< / span > (node != < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aab4ab1dc9be85072322b17c1f56fe208" > source_< / a > ) & & (node != < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aee97cd3a6def72d85d4685c134d11671" > sink_< / a > ) & & (< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#af63274e5211be9578b29f56f29936964" > node_excess_< / a > [node] > 0);< / div >
< div class = "line" > < a id = "l00439" name = "l00439" > < / a > < span class = "lineno" > 439< / span > }< / div >
< div class = "line" > < a id = "l00440" name = "l00440" > < / a > < span class = "lineno" > 440< / span > < / div >
< div class = "line" > < a id = "l00441" name = "l00441" > < / a > < span class = "lineno" > 441< / span > < span class = "comment" > // Sets the capacity of arc to ' capacity' and clears the flow on arc.< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00442" name = "l00442" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a7ba7917e55551f771954c4323992a9ab" > 442< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a7ba7917e55551f771954c4323992a9ab" > SetCapacityAndClearFlow< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_variable" href = "routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec" > capacity< / a > ) {< / div >
< div class = "line" > < a id = "l00443" name = "l00443" > < / a > < span class = "lineno" > 443< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > .< a class = "code hl_function" href = "classoperations__research_1_1_z_vector.html#ac41a7992cda2e3404b55d1afb8f6621b" > Set< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > , < a class = "code hl_variable" href = "routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec" > capacity< / a > );< / div >
< div class = "line" > < a id = "l00444" name = "l00444" > < / a > < span class = "lineno" > 444< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > .< a class = "code hl_function" href = "classoperations__research_1_1_z_vector.html#ac41a7992cda2e3404b55d1afb8f6621b" > Set< / a > (< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ae5ff1c955df682c39482f2cc5e23e900" > Opposite< / a > (< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ), 0);< / div >
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< div class = "line" > < a id = "l00445" name = "l00445" > < / a > < span class = "lineno" > 445< / span > }< / div >
< div class = "line" > < a id = "l00446" name = "l00446" > < / a > < span class = "lineno" > 446< / span > < / div >
< div class = "line" > < a id = "l00447" name = "l00447" > < / a > < span class = "lineno" > 447< / span > < span class = "comment" > // Returns true if a precondition for Relabel is met, i.e. the outgoing arcs< / span > < / div >
< div class = "line" > < a id = "l00448" name = "l00448" > < / a > < span class = "lineno" > 448< / span > < span class = "comment" > // of node are all either saturated or the heights of their heads are greater< / span > < / div >
< div class = "line" > < a id = "l00449" name = "l00449" > < / a > < span class = "lineno" > 449< / span > < span class = "comment" > // or equal to the height of node.< / span > < / div >
< div class = "line" > < a id = "l00450" name = "l00450" > < / a > < span class = "lineno" > 450< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a2a555ba2dc0a468e6fee4a0665b12272" > CheckRelabelPrecondition< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > node) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00451" name = "l00451" > < / a > < span class = "lineno" > 451< / span > < / div >
< div class = "line" > < a id = "l00452" name = "l00452" > < / a > < span class = "lineno" > 452< / span > < span class = "comment" > // Returns context concatenated with information about arc< / span > < / div >
< div class = "line" > < a id = "l00453" name = "l00453" > < / a > < span class = "lineno" > 453< / span > < span class = "comment" > // in a human-friendly way.< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00454" name = "l00454" > < / a > < span class = "lineno" > 454< / span > std::string < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a2212ce00ee245370c5cb71234244027a" > DebugString< / a > (< span class = "keyword" > const< / span > std::string& < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a5f287b83a753915ae862fed64f8640a6" > context< / a > , < 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 > ) < span class = "keyword" > const< / span > ;< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00455" name = "l00455" > < / a > < span class = "lineno" > 455< / span > < / div >
< div class = "line" > < a id = "l00456" name = "l00456" > < / a > < span class = "lineno" > 456< / span > < span class = "comment" > // Initializes the container active_nodes_.< / span > < / div >
< div class = "line" > < a id = "l00457" name = "l00457" > < / a > < span class = "lineno" > 457< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a7316c54af53df2e1f2ebc3d7fa1d5c45" > InitializeActiveNodeContainer< / a > ();< / div >
< div class = "line" > < a id = "l00458" name = "l00458" > < / a > < span class = "lineno" > 458< / span > < / div >
< div class = "line" > < a id = "l00459" name = "l00459" > < / a > < span class = "lineno" > 459< / span > < span class = "comment" > // Get the first element from the active node container.< / span > < / div >
< div class = "line" > < a id = "l00460" name = "l00460" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a89970809d6caccf0fc1ba38d7d955254" > 460< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a89970809d6caccf0fc1ba38d7d955254" > GetAndRemoveFirstActiveNode< / a > () {< / div >
< div class = "line" > < a id = "l00461" name = "l00461" > < / a > < span class = "lineno" > 461< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > process_node_by_height_< / a > ) < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#afc300bdfdbe5ce3296bacd00acce0b3f" > active_node_by_height_< / a > .< a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#af355586ee86be2298efe2e81367eeffe" > Pop< / a > ();< / div >
< div class = "line" > < a id = "l00462" name = "l00462" > < / a > < span class = "lineno" > 462< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > node = < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > active_nodes_< / a > .back();< / div >
< div class = "line" > < a id = "l00463" name = "l00463" > < / a > < span class = "lineno" > 463< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > active_nodes_< / a > .pop_back();< / div >
< div class = "line" > < a id = "l00464" name = "l00464" > < / a > < span class = "lineno" > 464< / span > < span class = "keywordflow" > return< / span > node;< / div >
< div class = "line" > < a id = "l00465" name = "l00465" > < / a > < span class = "lineno" > 465< / span > }< / div >
< div class = "line" > < a id = "l00466" name = "l00466" > < / a > < span class = "lineno" > 466< / span > < / div >
< div class = "line" > < a id = "l00467" name = "l00467" > < / a > < span class = "lineno" > 467< / span > < span class = "comment" > // Push element to the active node container.< / span > < / div >
< div class = "line" > < a id = "l00468" name = "l00468" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a420abfd079f041eac775859ab19e644d" > 468< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a420abfd079f041eac775859ab19e644d" > PushActiveNode< / a > (< span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > & node) {< / div >
< div class = "line" > < a id = "l00469" name = "l00469" > < / a > < span class = "lineno" > 469< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > process_node_by_height_< / a > ) {< / div >
< div class = "line" > < a id = "l00470" name = "l00470" > < / a > < span class = "lineno" > 470< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#afc300bdfdbe5ce3296bacd00acce0b3f" > active_node_by_height_< / a > .< a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a83681186fdc5615ec1185ad4075e1023" > Push< / a > (node, < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a5b7429be4ec8b98658d0b035261b1483" > node_potential_< / a > [node]);< / div >
< div class = "line" > < a id = "l00471" name = "l00471" > < / a > < span class = "lineno" > 471< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00472" name = "l00472" > < / a > < span class = "lineno" > 472< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > active_nodes_< / a > .push_back(node);< / div >
< div class = "line" > < a id = "l00473" name = "l00473" > < / a > < span class = "lineno" > 473< / span > }< / div >
< div class = "line" > < a id = "l00474" name = "l00474" > < / a > < span class = "lineno" > 474< / span > }< / div >
< div class = "line" > < a id = "l00475" name = "l00475" > < / a > < span class = "lineno" > 475< / span > < / div >
< div class = "line" > < a id = "l00476" name = "l00476" > < / a > < span class = "lineno" > 476< / span > < span class = "comment" > // Check the emptiness of the container.< / span > < / div >
< div class = "line" > < a id = "l00477" name = "l00477" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a8f70d2ab94c2c3a7f05c6f2a3bc18573" > 477< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a8f70d2ab94c2c3a7f05c6f2a3bc18573" > IsEmptyActiveNodeContainer< / a > () {< / div >
< div class = "line" > < a id = "l00478" name = "l00478" > < / a > < span class = "lineno" > 478< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > process_node_by_height_< / a > ) {< / div >
< div class = "line" > < a id = "l00479" name = "l00479" > < / a > < span class = "lineno" > 479< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#afc300bdfdbe5ce3296bacd00acce0b3f" > active_node_by_height_< / a > .< a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a8e12342fc420701fbffd97025421575a" > IsEmpty< / a > ();< / div >
< div class = "line" > < a id = "l00480" name = "l00480" > < / a > < span class = "lineno" > 480< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00481" name = "l00481" > < / a > < span class = "lineno" > 481< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > active_nodes_< / a > .empty();< / div >
< div class = "line" > < a id = "l00482" name = "l00482" > < / a > < span class = "lineno" > 482< / span > }< / div >
< div class = "line" > < a id = "l00483" name = "l00483" > < / a > < span class = "lineno" > 483< / span > }< / div >
< div class = "line" > < a id = "l00484" name = "l00484" > < / a > < span class = "lineno" > 484< / span > < / div >
< div class = "line" > < a id = "l00485" name = "l00485" > < / a > < span class = "lineno" > 485< / span > < span class = "comment" > // Performs optimization step.< / span > < / div >
< div class = "line" > < a id = "l00486" name = "l00486" > < / a > < span class = "lineno" > 486< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ad45b094d532baccee95649c24192f87a" > Refine< / a > ();< / div >
< div class = "line" > < a id = "l00487" name = "l00487" > < / a > < span class = "lineno" > 487< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ad28be43d46715cda54108a189081d139" > RefineWithGlobalUpdate< / a > ();< / div >
< div class = "line" > < a id = "l00488" name = "l00488" > < / a > < span class = "lineno" > 488< / span > < / div >
< div class = "line" > < a id = "l00489" name = "l00489" > < / a > < span class = "lineno" > 489< / span > < span class = "comment" > // Discharges an active node node by saturating its admissible adjacent arcs,< / span > < / div >
< div class = "line" > < a id = "l00490" name = "l00490" > < / a > < span class = "lineno" > 490< / span > < span class = "comment" > // if any, and by relabelling it when it becomes inactive.< / span > < / div >
< div class = "line" > < a id = "l00491" name = "l00491" > < / a > < span class = "lineno" > 491< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#af4b75883cbba15f442c627f5da96f470" > Discharge< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > node);< / div >
< div class = "line" > < a id = "l00492" name = "l00492" > < / a > < span class = "lineno" > 492< / span > < / div >
< div class = "line" > < a id = "l00493" name = "l00493" > < / a > < span class = "lineno" > 493< / span > < span class = "comment" > // Initializes the preflow to a state that enables to run Refine.< / span > < / div >
< div class = "line" > < a id = "l00494" name = "l00494" > < / a > < span class = "lineno" > 494< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a0f81f6e049ffb2b2a27c8e45dc0a25a0" > InitializePreflow< / a > ();< / div >
< div class = "line" > < a id = "l00495" name = "l00495" > < / a > < span class = "lineno" > 495< / span > < / div >
< div class = "line" > < a id = "l00496" name = "l00496" > < / a > < span class = "lineno" > 496< / span > < span class = "comment" > // Clears the flow excess at each node by pushing the flow back to the source:< / span > < / div >
< div class = "line" > < a id = "l00497" name = "l00497" > < / a > < span class = "lineno" > 497< / span > < span class = "comment" > // - Do a depth-first search from the source in the direct graph to cancel< / span > < / div >
< div class = "line" > < a id = "l00498" name = "l00498" > < / a > < span class = "lineno" > 498< / span > < span class = "comment" > // flow cycles.< / span > < / div >
< div class = "line" > < a id = "l00499" name = "l00499" > < / a > < span class = "lineno" > 499< / span > < span class = "comment" > // - Then, return flow excess along the depth-first search tree (by pushing< / span > < / div >
< div class = "line" > < a id = "l00500" name = "l00500" > < / a > < span class = "lineno" > 500< / span > < span class = "comment" > // the flow in the reverse dfs topological order).< / span > < / div >
< div class = "line" > < a id = "l00501" name = "l00501" > < / a > < span class = "lineno" > 501< / span > < span class = "comment" > // The theoretical complexity is O(mn), but it is a lot faster in practice.< / span > < / div >
< div class = "line" > < a id = "l00502" name = "l00502" > < / a > < span class = "lineno" > 502< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a3a4afd902c22768de7955ba9983fb282" > PushFlowExcessBackToSource< / a > ();< / div >
< div class = "line" > < a id = "l00503" name = "l00503" > < / a > < span class = "lineno" > 503< / span > < / div >
< div class = "line" > < a id = "l00504" name = "l00504" > < / a > < span class = "lineno" > 504< / span > < span class = "comment" > // Computes the best possible node potential given the current flow using a< / span > < / div >
< div class = "line" > < a id = "l00505" name = "l00505" > < / a > < span class = "lineno" > 505< / span > < span class = "comment" > // reverse breadth-first search from the sink in the reverse residual graph.< / span > < / div >
< div class = "line" > < a id = "l00506" name = "l00506" > < / a > < span class = "lineno" > 506< / span > < span class = "comment" > // This is an implementation of the global update heuristic mentioned in many< / span > < / div >
< div class = "line" > < a id = "l00507" name = "l00507" > < / a > < span class = "lineno" > 507< / span > < span class = "comment" > // max-flow papers. See for instance: B.V. Cherkassky, A.V. Goldberg, " On< / span > < / div >
< div class = "line" > < a id = "l00508" name = "l00508" > < / a > < span class = "lineno" > 508< / span > < span class = "comment" > // implementing push-relabel methods for the maximum flow problem" ,< / span > < / div >
< div class = "line" > < a id = "l00509" name = "l00509" > < / a > < span class = "lineno" > 509< / span > < span class = "comment" > // Algorithmica, 19:390-410, 1997.< / span > < / div >
< div class = "line" > < a id = "l00510" name = "l00510" > < / a > < span class = "lineno" > 510< / span > < span class = "comment" > // ftp://reports.stanford.edu/pub/cstr/reports/cs/tr/94/1523/CS-TR-94-1523.pdf< / span > < / div >
< div class = "line" > < a id = "l00511" name = "l00511" > < / a > < span class = "lineno" > 511< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a28b52dfd2da6e91a8e1e0d039c1d4154" > GlobalUpdate< / a > ();< / div >
< div class = "line" > < a id = "l00512" name = "l00512" > < / a > < span class = "lineno" > 512< / span > < / div >
< div class = "line" > < a id = "l00513" name = "l00513" > < / a > < span class = "lineno" > 513< / span > < span class = "comment" > // Tries to saturate all the outgoing arcs from the source that can reach the< / span > < / div >
< div class = "line" > < a id = "l00514" name = "l00514" > < / a > < span class = "lineno" > 514< / span > < span class = "comment" > // sink. Most of the time, we can do that in one go, except when more flow< / span > < / div >
< div class = "line" > < a id = "l00515" name = "l00515" > < / a > < span class = "lineno" > 515< / span > < span class = "comment" > // than kMaxFlowQuantity can be pushed out of the source in which case we< / span > < / div >
< div class = "line" > < a id = "l00516" name = "l00516" > < / a > < span class = "lineno" > 516< / span > < span class = "comment" > // have to be careful. Returns true if some flow was pushed.< / span > < / div >
< div class = "line" > < a id = "l00517" name = "l00517" > < / a > < span class = "lineno" > 517< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a24f768765349e100ca2ef7697d1b52d5" > SaturateOutgoingArcsFromSource< / a > ();< / div >
< div class = "line" > < a id = "l00518" name = "l00518" > < / a > < span class = "lineno" > 518< / span > < / div >
< div class = "line" > < a id = "l00519" name = "l00519" > < / a > < span class = "lineno" > 519< / span > < span class = "comment" > // Pushes flow on arc, i.e. consumes flow on residual_arc_capacity_[arc],< / span > < / div >
< div class = "line" > < a id = "l00520" name = "l00520" > < / a > < span class = "lineno" > 520< / span > < span class = "comment" > // and consumes -flow on residual_arc_capacity_[Opposite(arc)]. Updates< / span > < / div >
< div class = "line" > < a id = "l00521" name = "l00521" > < / a > < span class = "lineno" > 521< / span > < span class = "comment" > // node_excess_ at the tail and head of arc accordingly.< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00522" name = "l00522" > < / a > < span class = "lineno" > 522< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#abedc5621560431c2527859bd5d1ab8fc" > PushFlow< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > flow, < 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 >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00523" name = "l00523" > < / a > < span class = "lineno" > 523< / span > < / div >
< div class = "line" > < a id = "l00524" name = "l00524" > < / a > < span class = "lineno" > 524< / span > < span class = "comment" > // Relabels a node, i.e. increases its height by the minimum necessary amount.< / span > < / div >
< div class = "line" > < a id = "l00525" name = "l00525" > < / a > < span class = "lineno" > 525< / span > < span class = "comment" > // This version of Relabel is relaxed in a way such that if an admissible arc< / span > < / div >
< div class = "line" > < a id = "l00526" name = "l00526" > < / a > < span class = "lineno" > 526< / span > < span class = "comment" > // exists at the current node height, then the node is not relabeled. This< / span > < / div >
< div class = "line" > < a id = "l00527" name = "l00527" > < / a > < span class = "lineno" > 527< / span > < span class = "comment" > // enables us to deal with wrong values of first_admissible_arc_[node] when< / span > < / div >
< div class = "line" > < a id = "l00528" name = "l00528" > < / a > < span class = "lineno" > 528< / span > < span class = "comment" > // updating it is too costly.< / span > < / div >
< div class = "line" > < a id = "l00529" name = "l00529" > < / a > < span class = "lineno" > 529< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a187f8b09657eacdfef77202c595543f6" > Relabel< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > node);< / div >
< div class = "line" > < a id = "l00530" name = "l00530" > < / a > < span class = "lineno" > 530< / span > < / div >
< div class = "line" > < a id = "l00531" name = "l00531" > < / a > < span class = "lineno" > 531< / span > < span class = "comment" > // Handy member functions to make the code more compact.< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00532" name = "l00532" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#aa5f729a6274027e5e5478e4bd76603ca" > 532< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#aa5f729a6274027e5e5478e4bd76603ca" > Head< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ad88eea96f82ba29e252f3e07cdb84378" > graph_< / a > -> Head(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ); }< / div >
< div class = "line" > < a id = "l00533" name = "l00533" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ab49dbdb731f80e626e575bdf66835f46" > 533< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ab49dbdb731f80e626e575bdf66835f46" > Tail< / a > (< a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > ArcIndex< / a > < a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > )< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ad88eea96f82ba29e252f3e07cdb84378" > graph_< / a > -> Tail(< a class = "code hl_variable" href = "local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894" > arc< / a > ); }< / div >
< div class = "line" > < a id = "l00534" name = "l00534" > < / a > < span class = "lineno" > 534< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#aecf320bda6e95d1edaf3a546673e3e6b" > ArcIndex< / a > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ae5ff1c955df682c39482f2cc5e23e900" > Opposite< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00535" name = "l00535" > < / a > < span class = "lineno" > 535< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#af3a76f97fe869af7137bbc9a165353b1" > IsArcDirect< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
< div class = "line" > < a id = "l00536" name = "l00536" > < / a > < span class = "lineno" > 536< / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ac17ea9ef2dc1b5eace76f625abe36475" > IsArcValid< / a > (< 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 > ) < span class = "keyword" > const< / span > ;< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00537" name = "l00537" > < / a > < span class = "lineno" > 537< / span > < / div >
< div class = "line" > < a id = "l00538" name = "l00538" > < / a > < span class = "lineno" > 538< / span > < span class = "comment" > // Returns the set of nodes reachable from start in the residual graph or in< / span > < / div >
< div class = "line" > < a id = "l00539" name = "l00539" > < / a > < span class = "lineno" > 539< / span > < span class = "comment" > // the reverse residual graph (if reverse is true).< / span > < / div >
< div class = "line" > < a id = "l00540" name = "l00540" > < / a > < span class = "lineno" > 540< / span > < span class = "keyword" > template< / span > < < span class = "keywordtype" > bool< / span > reverse> < / div >
< div class = "line" > < a id = "l00541" name = "l00541" > < / a > < span class = "lineno" > 541< / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#ac0290c8f8892c50d7b29e9770fda4923" > ComputeReachableNodes< / a > (< a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > < a class = "code hl_variable" href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > , std::vector< NodeIndex> * result);< / div >
< div class = "line" > < a id = "l00542" name = "l00542" > < / a > < span class = "lineno" > 542< / span > < / div >
< div class = "line" > < a id = "l00543" name = "l00543" > < / a > < span class = "lineno" > 543< / span > < span class = "comment" > // Maximum manageable flow.< / span > < / div >
< div class = "line" > < a id = "l00544" name = "l00544" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a2cb1ce0e6ac75b050ffc3a7bfd35a8b2" > 544< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > FlowQuantity< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a2cb1ce0e6ac75b050ffc3a7bfd35a8b2" > kMaxFlowQuantity< / a > ;< / div >
< div class = "line" > < a id = "l00545" name = "l00545" > < / a > < span class = "lineno" > 545< / span > < / div >
< div class = "line" > < a id = "l00546" name = "l00546" > < / a > < span class = "lineno" > 546< / span > < span class = "comment" > // A pointer to the graph passed as argument.< / span > < / div >
< div class = "line" > < a id = "l00547" name = "l00547" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ad88eea96f82ba29e252f3e07cdb84378" > 547< / a > < / span > < span class = "keyword" > const< / span > < a class = "code hl_typedef" href = "namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478" > Graph< / a > * < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ad88eea96f82ba29e252f3e07cdb84378" > graph_< / a > ;< / div >
< div class = "line" > < a id = "l00548" name = "l00548" > < / a > < span class = "lineno" > 548< / span > < / div >
< div class = "line" > < a id = "l00549" name = "l00549" > < / a > < span class = "lineno" > 549< / span > < span class = "comment" > // An array representing the excess for each node in graph_.< / span > < / div >
< div class = "line" > < a id = "l00550" name = "l00550" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#af63274e5211be9578b29f56f29936964" > 550< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1_z_vector.html" > QuantityArray< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#af63274e5211be9578b29f56f29936964" > node_excess_< / a > ;< / div >
< div class = "line" > < a id = "l00551" name = "l00551" > < / a > < span class = "lineno" > 551< / span > < / div >
< div class = "line" > < a id = "l00552" name = "l00552" > < / a > < span class = "lineno" > 552< / span > < span class = "comment" > // An array representing the height function for each node in graph_. For a< / span > < / div >
< div class = "line" > < a id = "l00553" name = "l00553" > < / a > < span class = "lineno" > 553< / span > < span class = "comment" > // given node, this is a lower bound on the shortest path length from this< / span > < / div >
< div class = "line" > < a id = "l00554" name = "l00554" > < / a > < span class = "lineno" > 554< / span > < span class = "comment" > // node to the sink in the residual network. The height of a node always goes< / span > < / div >
< div class = "line" > < a id = "l00555" name = "l00555" > < / a > < span class = "lineno" > 555< / span > < span class = "comment" > // up during the course of a Solve().< / span > < / div >
< div class = "line" > < a id = "l00556" name = "l00556" > < / a > < span class = "lineno" > 556< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00557" name = "l00557" > < / a > < span class = "lineno" > 557< / span > < span class = "comment" > // Since initially we saturate all the outgoing arcs of the source, we can< / span > < / div >
< div class = "line" > < a id = "l00558" name = "l00558" > < / a > < span class = "lineno" > 558< / span > < span class = "comment" > // never reach the sink from the source in the residual graph. Initially we< / span > < / div >
< div class = "line" > < a id = "l00559" name = "l00559" > < / a > < span class = "lineno" > 559< / span > < span class = "comment" > // set the height of the source to n (the number of node of the graph) and it< / span > < / div >
< div class = "line" > < a id = "l00560" name = "l00560" > < / a > < span class = "lineno" > 560< / span > < span class = "comment" > // never changes. If a node as an height > = n, then this node can' t reach the< / span > < / div >
< div class = "line" > < a id = "l00561" name = "l00561" > < / a > < span class = "lineno" > 561< / span > < span class = "comment" > // sink and its height minus n is a lower bound on the shortest path length< / span > < / div >
< div class = "line" > < a id = "l00562" name = "l00562" > < / a > < span class = "lineno" > 562< / span > < span class = "comment" > // from this node to the source in the residual graph.< / span > < / div >
< div class = "line" > < a id = "l00563" name = "l00563" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a5b7429be4ec8b98658d0b035261b1483" > 563< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1_z_vector.html" > NodeHeightArray< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a5b7429be4ec8b98658d0b035261b1483" > node_potential_< / a > ;< / div >
< div class = "line" > < a id = "l00564" name = "l00564" > < / a > < span class = "lineno" > 564< / span > < / div >
< div class = "line" > < a id = "l00565" name = "l00565" > < / a > < span class = "lineno" > 565< / span > < span class = "comment" > // An array representing the residual_capacity for each arc in graph_.< / span > < / div >
< div class = "line" > < a id = "l00566" name = "l00566" > < / a > < span class = "lineno" > 566< / span > < span class = "comment" > // Residual capacities enable one to represent the capacity and flow for all< / span > < / div >
< div class = "line" > < a id = "l00567" name = "l00567" > < / a > < span class = "lineno" > 567< / span > < span class = "comment" > // arcs in the graph in the following manner.< / span > < / div >
< div class = "line" > < a id = "l00568" name = "l00568" > < / a > < span class = "lineno" > 568< / span > < span class = "comment" > // For all arc, residual_arc_capacity_[arc] = capacity[arc] - flow[arc]< / span > < / div >
< div class = "line" > < a id = "l00569" name = "l00569" > < / a > < span class = "lineno" > 569< / span > < span class = "comment" > // Moreover, for reverse arcs, capacity[arc] = 0 by definition,< / span > < / div >
< div class = "line" > < a id = "l00570" name = "l00570" > < / a > < span class = "lineno" > 570< / span > < span class = "comment" > // Also flow[Opposite(arc)] = -flow[arc] by definition.< / span > < / div >
< div class = "line" > < a id = "l00571" name = "l00571" > < / a > < span class = "lineno" > 571< / span > < span class = "comment" > // Therefore:< / span > < / div >
< div class = "line" > < a id = "l00572" name = "l00572" > < / a > < span class = "lineno" > 572< / span > < span class = "comment" > // - for a direct arc:< / span > < / div >
< div class = "line" > < a id = "l00573" name = "l00573" > < / a > < span class = "lineno" > 573< / span > < span class = "comment" > // flow[arc] = 0 - flow[Opposite(arc)]< / span > < / div >
< div class = "line" > < a id = "l00574" name = "l00574" > < / a > < span class = "lineno" > 574< / span > < span class = "comment" > // = capacity[Opposite(arc)] - flow[Opposite(arc)]< / span > < / div >
< div class = "line" > < a id = "l00575" name = "l00575" > < / a > < span class = "lineno" > 575< / span > < span class = "comment" > // = residual_arc_capacity_[Opposite(arc)]< / span > < / div >
< div class = "line" > < a id = "l00576" name = "l00576" > < / a > < span class = "lineno" > 576< / span > < span class = "comment" > // - for a reverse arc:< / span > < / div >
< div class = "line" > < a id = "l00577" name = "l00577" > < / a > < span class = "lineno" > 577< / span > < span class = "comment" > // flow[arc] = -residual_arc_capacity_[arc]< / span > < / div >
< div class = "line" > < a id = "l00578" name = "l00578" > < / a > < span class = "lineno" > 578< / span > < span class = "comment" > // Using these facts enables one to only maintain residual_arc_capacity_,< / span > < / div >
< div class = "line" > < a id = "l00579" name = "l00579" > < / a > < span class = "lineno" > 579< / span > < span class = "comment" > // instead of both capacity and flow, for each direct and indirect arc. This< / span > < / div >
< div class = "line" > < a id = "l00580" name = "l00580" > < / a > < span class = "lineno" > 580< / span > < span class = "comment" > // reduces the amount of memory for this information by a factor 2.< / span > < / div >
< div class = "line" > < a id = "l00581" name = "l00581" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > 581< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1_z_vector.html" > QuantityArray< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > residual_arc_capacity_< / a > ;< / div >
< div class = "line" > < a id = "l00582" name = "l00582" > < / a > < span class = "lineno" > 582< / span > < / div >
< div class = "line" > < a id = "l00583" name = "l00583" > < / a > < span class = "lineno" > 583< / span > < span class = "comment" > // An array representing the first admissible arc for each node in graph_.< / span > < / div >
< div class = "line" > < a id = "l00584" name = "l00584" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a3702055ec6affa60e6862cd0e63f9a7b" > 584< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1_z_vector.html" > ArcIndexArray< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a3702055ec6affa60e6862cd0e63f9a7b" > first_admissible_arc_< / a > ;< / div >
< div class = "line" > < a id = "l00585" name = "l00585" > < / a > < span class = "lineno" > 585< / span > < / div >
< div class = "line" > < a id = "l00586" name = "l00586" > < / a > < span class = "lineno" > 586< / span > < span class = "comment" > // A stack used for managing active nodes in the algorithm.< / span > < / div >
< div class = "line" > < a id = "l00587" name = "l00587" > < / a > < span class = "lineno" > 587< / span > < span class = "comment" > // Note that the papers cited above recommend the use of a queue, but< / span > < / div >
< div class = "line" > < a id = "l00588" name = "l00588" > < / a > < span class = "lineno" > 588< / span > < span class = "comment" > // benchmarking so far has not proved it is better. In particular, processing< / span > < / div >
< div class = "line" > < a id = "l00589" name = "l00589" > < / a > < span class = "lineno" > 589< / span > < span class = "comment" > // nodes in LIFO order has better cache locality.< / span > < / div >
< div class = "line" > < a id = "l00590" name = "l00590" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > 590< / a > < / span > std::vector< NodeIndex> < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > active_nodes_< / a > ;< / div >
< div class = "line" > < a id = "l00591" name = "l00591" > < / a > < span class = "lineno" > 591< / span > < / div >
< div class = "line" > < a id = "l00592" name = "l00592" > < / a > < span class = "lineno" > 592< / span > < span class = "comment" > // A priority queue used for managing active nodes in the algorithm. It allows< / span > < / div >
< div class = "line" > < a id = "l00593" name = "l00593" > < / a > < span class = "lineno" > 593< / span > < span class = "comment" > // to select the active node with highest height before each Discharge().< / span > < / div >
< div class = "line" > < a id = "l00594" name = "l00594" > < / a > < span class = "lineno" > 594< / span > < span class = "comment" > // Moreover, since all pushes from this node will be to nodes with height< / span > < / div >
< div class = "line" > < a id = "l00595" name = "l00595" > < / a > < span class = "lineno" > 595< / span > < span class = "comment" > // greater or equal to the initial discharged node height minus one, the< / span > < / div >
< div class = "line" > < a id = "l00596" name = "l00596" > < / a > < span class = "lineno" > 596< / span > < span class = "comment" > // PriorityQueueWithRestrictedPush is a perfect fit.< / span > < / div >
< div class = "line" > < a id = "l00597" name = "l00597" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#afc300bdfdbe5ce3296bacd00acce0b3f" > 597< / a > < / span > < a class = "code hl_class" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html" > PriorityQueueWithRestrictedPush< NodeIndex, NodeHeight> < / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#afc300bdfdbe5ce3296bacd00acce0b3f" > active_node_by_height_< / a > ;< / div >
< div class = "line" > < a id = "l00598" name = "l00598" > < / a > < span class = "lineno" > 598< / span > < / div >
< div class = "line" > < a id = "l00599" name = "l00599" > < / a > < span class = "lineno" > 599< / span > < span class = "comment" > // The index of the source node in graph_.< / span > < / div >
< div class = "line" > < a id = "l00600" name = "l00600" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#aab4ab1dc9be85072322b17c1f56fe208" > 600< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aab4ab1dc9be85072322b17c1f56fe208" > source_< / a > ;< / div >
< div class = "line" > < a id = "l00601" name = "l00601" > < / a > < span class = "lineno" > 601< / span > < / div >
< div class = "line" > < a id = "l00602" name = "l00602" > < / a > < span class = "lineno" > 602< / span > < span class = "comment" > // The index of the sink node in graph_.< / span > < / div >
< div class = "line" > < a id = "l00603" name = "l00603" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#aee97cd3a6def72d85d4685c134d11671" > 603< / a > < / span > < a class = "code hl_typedef" href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > NodeIndex< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#aee97cd3a6def72d85d4685c134d11671" > sink_< / a > ;< / div >
< div class = "line" > < a id = "l00604" name = "l00604" > < / a > < span class = "lineno" > 604< / span > < / div >
< div class = "line" > < a id = "l00605" name = "l00605" > < / a > < span class = "lineno" > 605< / span > < span class = "comment" > // The status of the problem.< / span > < / div >
< div class = "line" > < a id = "l00606" name = "l00606" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#abf8c6fcb7d9c9fa39e283d086f0bb345" > 606< / a > < / span > < a class = "code hl_enumeration" href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > Status< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#abf8c6fcb7d9c9fa39e283d086f0bb345" > status_< / a > ;< / div >
< div class = "line" > < a id = "l00607" name = "l00607" > < / a > < span class = "lineno" > 607< / span > < / div >
< div class = "line" > < a id = "l00608" name = "l00608" > < / a > < span class = "lineno" > 608< / span > < span class = "comment" > // BFS queue used by the GlobalUpdate() function. We do not use a C++ queue< / span > < / div >
< div class = "line" > < a id = "l00609" name = "l00609" > < / a > < span class = "lineno" > 609< / span > < span class = "comment" > // because we need access to the vector for different optimizations.< / span > < / div >
< div class = "line" > < a id = "l00610" name = "l00610" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a8b98114a0a6beb83e5b36e4e461659fd" > 610< / a > < / span > std::vector< bool> < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a8b98114a0a6beb83e5b36e4e461659fd" > node_in_bfs_queue_< / a > ;< / div >
< div class = "line" > < a id = "l00611" name = "l00611" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a2b834b1bfbaef46bbf4a3f991a26f9a3" > 611< / a > < / span > std::vector< NodeIndex> < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a2b834b1bfbaef46bbf4a3f991a26f9a3" > bfs_queue_< / a > ;< / div >
< div class = "line" > < a id = "l00612" name = "l00612" > < / a > < span class = "lineno" > 612< / span > < / div >
< div class = "line" > < a id = "l00613" name = "l00613" > < / a > < span class = "lineno" > 613< / span > < span class = "comment" > // Whether or not to use GlobalUpdate().< / span > < / div >
< div class = "line" > < a id = "l00614" name = "l00614" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a3b2203f6789a10763c6ae978bf26b402" > 614< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a3b2203f6789a10763c6ae978bf26b402" > use_global_update_< / a > ;< / div >
< div class = "line" > < a id = "l00615" name = "l00615" > < / a > < span class = "lineno" > 615< / span > < / div >
< div class = "line" > < a id = "l00616" name = "l00616" > < / a > < span class = "lineno" > 616< / span > < span class = "comment" > // Whether or not we use a two-phase algorithm:< / span > < / div >
< div class = "line" > < a id = "l00617" name = "l00617" > < / a > < span class = "lineno" > 617< / span > < span class = "comment" > // 1/ Only deal with nodes that can reach the sink. At the end we know the< / span > < / div >
< div class = "line" > < a id = "l00618" name = "l00618" > < / a > < span class = "lineno" > 618< / span > < span class = "comment" > // value of the maximum flow and we have a min-cut.< / span > < / div >
< div class = "line" > < a id = "l00619" name = "l00619" > < / a > < span class = "lineno" > 619< / span > < span class = "comment" > // 2/ Call PushFlowExcessBackToSource() to obtain a max-flow. This is usually< / span > < / div >
< div class = "line" > < a id = "l00620" name = "l00620" > < / a > < span class = "lineno" > 620< / span > < span class = "comment" > // a lot faster than the first phase.< / span > < / div >
< div class = "line" > < a id = "l00621" name = "l00621" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a689c39e9d4a7bdb9d64e270b8c9abcbd" > 621< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a689c39e9d4a7bdb9d64e270b8c9abcbd" > use_two_phase_algorithm_< / a > ;< / div >
< div class = "line" > < a id = "l00622" name = "l00622" > < / a > < span class = "lineno" > 622< / span > < / div >
< div class = "line" > < a id = "l00623" name = "l00623" > < / a > < span class = "lineno" > 623< / span > < span class = "comment" > // Whether or not we use the PriorityQueueWithRestrictedPush to process the< / span > < / div >
< div class = "line" > < a id = "l00624" name = "l00624" > < / a > < span class = "lineno" > 624< / span > < span class = "comment" > // active nodes rather than a simple queue. This can only be true if< / span > < / div >
< div class = "line" > < a id = "l00625" name = "l00625" > < / a > < span class = "lineno" > 625< / span > < span class = "comment" > // use_global_update_ is true.< / span > < / div >
< div class = "line" > < a id = "l00626" name = "l00626" > < / a > < span class = "lineno" > 626< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00627" name = "l00627" > < / a > < span class = "lineno" > 627< / span > < span class = "comment" > // Note(user): using a template will be slightly faster, but since we test< / span > < / div >
< div class = "line" > < a id = "l00628" name = "l00628" > < / a > < span class = "lineno" > 628< / span > < span class = "comment" > // this in a non-critical path, this only has a minor impact.< / span > < / div >
< div class = "line" > < a id = "l00629" name = "l00629" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > 629< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > process_node_by_height_< / a > ;< / div >
< div class = "line" > < a id = "l00630" name = "l00630" > < / a > < span class = "lineno" > 630< / span > < / div >
< div class = "line" > < a id = "l00631" name = "l00631" > < / a > < span class = "lineno" > 631< / span > < span class = "comment" > // Whether or not we check the input, this is a small price to pay for< / span > < / div >
< div class = "line" > < a id = "l00632" name = "l00632" > < / a > < span class = "lineno" > 632< / span > < span class = "comment" > // robustness. Disable only if you know the input is valid because an invalid< / span > < / div >
< div class = "line" > < a id = "l00633" name = "l00633" > < / a > < span class = "lineno" > 633< / span > < span class = "comment" > // input can cause the algorithm to run into an infinite loop!< / span > < / div >
< div class = "line" > < a id = "l00634" name = "l00634" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#ad96578b8ab41d25a3daa9f219c168b9f" > 634< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#ad96578b8ab41d25a3daa9f219c168b9f" > check_input_< / a > ;< / div >
< div class = "line" > < a id = "l00635" name = "l00635" > < / a > < span class = "lineno" > 635< / span > < / div >
< div class = "line" > < a id = "l00636" name = "l00636" > < / a > < span class = "lineno" > 636< / span > < span class = "comment" > // Whether or not we check the result.< / span > < / div >
< div class = "line" > < a id = "l00637" name = "l00637" > < / a > < span class = "lineno" > 637< / span > < span class = "comment" > // TODO(user): Make the check more exhaustive by checking the optimality?< / span > < / div >
< div class = "line" > < a id = "l00638" name = "l00638" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a876e41aaef1635d059d9d79dd08bbfc3" > 638< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a876e41aaef1635d059d9d79dd08bbfc3" > check_result_< / a > ;< / div >
< div class = "line" > < a id = "l00639" name = "l00639" > < / a > < span class = "lineno" > 639< / span > < / div >
< div class = "line" > < a id = "l00640" name = "l00640" > < / a > < span class = "lineno" > 640< / span > < span class = "comment" > // Statistics about this class.< / span > < / div >
< div class = "line" > < a id = "l00641" name = "l00641" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_generic_max_flow.html#a7c6fc06ca542eed0ff0b6ed4b1ecbcda" > 641< / a > < / span > < span class = "keyword" > mutable< / span > < a class = "code hl_class" href = "classoperations__research_1_1_stats_group.html" > StatsGroup< / a > < a class = "code hl_variable" href = "classoperations__research_1_1_generic_max_flow.html#a7c6fc06ca542eed0ff0b6ed4b1ecbcda" > stats_< / a > ;< / div >
< div class = "line" > < a id = "l00642" name = "l00642" > < / a > < span class = "lineno" > 642< / span > < / div >
< div class = "line" > < a id = "l00643" name = "l00643" > < / a > < span class = "lineno" > 643< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00644" name = "l00644" > < / a > < span class = "lineno" > 644< / span > DISALLOW_COPY_AND_ASSIGN(< a class = "code hl_class" href = "classoperations__research_1_1_generic_max_flow.html" > GenericMaxFlow< / a > );< / div >
< div class = "line" > < a id = "l00645" name = "l00645" > < / a > < span class = "lineno" > 645< / span > };< / div >
< div class = "line" > < a id = "l00646" name = "l00646" > < / a > < span class = "lineno" > 646< / span > < / div >
< div class = "line" > < a id = "l00647" name = "l00647" > < / a > < span class = "lineno" > 647< / span > < span class = "preprocessor" > #if !SWIG< / span > < / div >
< div class = "line" > < a id = "l00648" name = "l00648" > < / a > < span class = "lineno" > 648< / span > < / div >
< div class = "line" > < a id = "l00649" name = "l00649" > < / a > < span class = "lineno" > 649< / span > < span class = "comment" > // Default instance MaxFlow that uses StarGraph. Note that we cannot just use a< / span > < / div >
< div class = "line" > < a id = "l00650" name = "l00650" > < / a > < span class = "lineno" > 650< / span > < span class = "comment" > // typedef because of dependent code expecting MaxFlow to be a real class.< / span > < / div >
< div class = "line" > < a id = "l00651" name = "l00651" > < / a > < span class = "lineno" > 651< / span > < span class = "comment" > // TODO(user): Modify this code and remove it.< / span > < / div >
< div class = "line" > < a id = "l00652" name = "l00652" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow.html" > 652< / a > < / span > < span class = "keyword" > class < / span > < a class = "code hl_class" href = "classoperations__research_1_1_max_flow.html" > MaxFlow< / a > : < span class = "keyword" > public< / span > < a class = "code hl_class" href = "classoperations__research_1_1_generic_max_flow.html" > GenericMaxFlow< / a > < StarGraph> {< / div >
< div class = "line" > < a id = "l00653" name = "l00653" > < / a > < span class = "lineno" > 653< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00654" name = "l00654" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_max_flow.html#a591efdde87d4b90a85680d4f60dbc88a" > 654< / a > < / span > < a class = "code hl_function" href = "classoperations__research_1_1_max_flow.html#a591efdde87d4b90a85680d4f60dbc88a" > MaxFlow< / a > (< span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1_ebert_graph.html" > StarGraph< / a > * < a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a88421a0f6fd8896906a4a4b86f41ca4f" > graph< / a > , < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > source, < a class = "code hl_typedef" href = "namespaceoperations__research.html#a7ae31ba4c3b4899478e53ca13df35dfc" > NodeIndex< / a > target)< / div >
< div class = "line" > < a id = "l00655" name = "l00655" > < / a > < span class = "lineno" > 655< / span > : < a class = "code hl_class" href = "classoperations__research_1_1_generic_max_flow.html" > GenericMaxFlow< / a > (< a class = "code hl_function" href = "classoperations__research_1_1_generic_max_flow.html#a88421a0f6fd8896906a4a4b86f41ca4f" > graph< / a > , source, target) {}< / div >
< div class = "line" > < a id = "l00656" name = "l00656" > < / a > < span class = "lineno" > 656< / span > };< / div >
< div class = "line" > < a id = "l00657" name = "l00657" > < / a > < span class = "lineno" > 657< / span > < / div >
< div class = "line" > < a id = "l00658" name = "l00658" > < / a > < span class = "lineno" > 658< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // SWIG< / span > < / div >
< div class = "line" > < a id = "l00659" name = "l00659" > < / a > < span class = "lineno" > 659< / span > < / div >
< div class = "line" > < a id = "l00660" name = "l00660" > < / a > < span class = "lineno" > 660< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Element, < span class = "keyword" > typename< / span > IntegerPriority> < / div >
< div class = "line" > < a id = "l00661" name = "l00661" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a8e12342fc420701fbffd97025421575a" > 661< / a > < / span > < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a8e12342fc420701fbffd97025421575a" > PriorityQueueWithRestrictedPush< Element, IntegerPriority> ::IsEmpty< / a > ()< span class = "keyword" > < / span > < / div >
< div class = "line" > < a id = "l00662" name = "l00662" > < / a > < span class = "lineno" > 662< / span > < span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00663" name = "l00663" > < / a > < span class = "lineno" > 663< / span > < span class = "keywordflow" > return< / span > even_queue_.empty() & & odd_queue_.empty();< / div >
< div class = "line" > < a id = "l00664" name = "l00664" > < / a > < span class = "lineno" > 664< / span > }< / div >
< div class = "line" > < a id = "l00665" name = "l00665" > < / a > < span class = "lineno" > 665< / span > < / div >
< div class = "line" > < a id = "l00666" name = "l00666" > < / a > < span class = "lineno" > 666< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Element, < span class = "keyword" > typename< / span > IntegerPriority> < / div >
< div class = "line" > < a id = "l00667" name = "l00667" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#aa71d36872f416feaa853788a7a7a7ef8" > 667< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#aa71d36872f416feaa853788a7a7a7ef8" > PriorityQueueWithRestrictedPush< Element, IntegerPriority> ::Clear< / a > () {< / div >
< div class = "line" > < a id = "l00668" name = "l00668" > < / a > < span class = "lineno" > 668< / span > even_queue_.clear();< / div >
< div class = "line" > < a id = "l00669" name = "l00669" > < / a > < span class = "lineno" > 669< / span > odd_queue_.clear();< / div >
< div class = "line" > < a id = "l00670" name = "l00670" > < / a > < span class = "lineno" > 670< / span > }< / div >
< div class = "line" > < a id = "l00671" name = "l00671" > < / a > < span class = "lineno" > 671< / span > < / div >
< div class = "line" > < a id = "l00672" name = "l00672" > < / a > < span class = "lineno" > 672< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Element, < span class = "keyword" > typename< / span > IntegerPriority> < / div >
< div class = "line" > < a id = "l00673" name = "l00673" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a83681186fdc5615ec1185ad4075e1023" > 673< / a > < / span > < span class = "keywordtype" > void< / span > < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a83681186fdc5615ec1185ad4075e1023" > PriorityQueueWithRestrictedPush< Element, IntegerPriority> ::Push< / a > (< / div >
< div class = "line" > < a id = "l00674" name = "l00674" > < / a > < span class = "lineno" > 674< / span > Element element, IntegerPriority priority) {< / div >
< div class = "line" > < a id = "l00675" name = "l00675" > < / a > < span class = "lineno" > 675< / span > < span class = "comment" > // Since users may rely on it, we DCHECK the exact condition.< / span > < / div >
< div class = "line" > < a id = "l00676" name = "l00676" > < / a > < span class = "lineno" > 676< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (even_queue_.empty() || priority > = even_queue_.back().second - 1);< / div >
< div class = "line" > < a id = "l00677" name = "l00677" > < / a > < span class = "lineno" > 677< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (odd_queue_.empty() || priority > = odd_queue_.back().second - 1);< / div >
< div class = "line" > < a id = "l00678" name = "l00678" > < / a > < span class = "lineno" > 678< / span > < / div >
< div class = "line" > < a id = "l00679" name = "l00679" > < / a > < span class = "lineno" > 679< / span > < span class = "comment" > // Note that the DCHECK() below are less restrictive than the ones above but< / span > < / div >
< div class = "line" > < a id = "l00680" name = "l00680" > < / a > < span class = "lineno" > 680< / span > < span class = "comment" > // check a necessary and sufficient condition for the priority queue to behave< / span > < / div >
< div class = "line" > < a id = "l00681" name = "l00681" > < / a > < span class = "lineno" > 681< / span > < span class = "comment" > // as expected.< / span > < / div >
< div class = "line" > < a id = "l00682" name = "l00682" > < / a > < span class = "lineno" > 682< / span > < span class = "keywordflow" > if< / span > (priority & 1) {< / div >
< div class = "line" > < a id = "l00683" name = "l00683" > < / a > < span class = "lineno" > 683< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (odd_queue_.empty() || priority > = odd_queue_.back().second);< / div >
< div class = "line" > < a id = "l00684" name = "l00684" > < / a > < span class = "lineno" > 684< / span > odd_queue_.push_back(std::make_pair(element, priority));< / div >
< div class = "line" > < a id = "l00685" name = "l00685" > < / a > < span class = "lineno" > 685< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00686" name = "l00686" > < / a > < span class = "lineno" > 686< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (even_queue_.empty() || priority > = even_queue_.back().second);< / div >
< div class = "line" > < a id = "l00687" name = "l00687" > < / a > < span class = "lineno" > 687< / span > even_queue_.push_back(std::make_pair(element, priority));< / div >
< div class = "line" > < a id = "l00688" name = "l00688" > < / a > < span class = "lineno" > 688< / span > }< / div >
< div class = "line" > < a id = "l00689" name = "l00689" > < / a > < span class = "lineno" > 689< / span > }< / div >
< div class = "line" > < a id = "l00690" name = "l00690" > < / a > < span class = "lineno" > 690< / span > < / div >
< div class = "line" > < a id = "l00691" name = "l00691" > < / a > < span class = "lineno" > 691< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Element, < span class = "keyword" > typename< / span > IntegerPriority> < / div >
< div class = "line" > < a id = "l00692" name = "l00692" > < / a > < span class = "lineno" > < a class = "line" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#af355586ee86be2298efe2e81367eeffe" > 692< / a > < / span > Element < a class = "code hl_function" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#af355586ee86be2298efe2e81367eeffe" > PriorityQueueWithRestrictedPush< Element, IntegerPriority> ::Pop< / a > () {< / div >
< div class = "line" > < a id = "l00693" name = "l00693" > < / a > < span class = "lineno" > 693< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (!IsEmpty());< / div >
< div class = "line" > < a id = "l00694" name = "l00694" > < / a > < span class = "lineno" > 694< / span > < span class = "keywordflow" > if< / span > (even_queue_.empty()) < span class = "keywordflow" > return< / span > PopBack(& odd_queue_);< / div >
< div class = "line" > < a id = "l00695" name = "l00695" > < / a > < span class = "lineno" > 695< / span > < span class = "keywordflow" > if< / span > (odd_queue_.empty()) < span class = "keywordflow" > return< / span > PopBack(& even_queue_);< / div >
< div class = "line" > < a id = "l00696" name = "l00696" > < / a > < span class = "lineno" > 696< / span > < span class = "keywordflow" > if< / span > (odd_queue_.back().second > even_queue_.back().second) {< / div >
< div class = "line" > < a id = "l00697" name = "l00697" > < / a > < span class = "lineno" > 697< / span > < span class = "keywordflow" > return< / span > PopBack(& odd_queue_);< / div >
< div class = "line" > < a id = "l00698" name = "l00698" > < / a > < span class = "lineno" > 698< / span > } < span class = "keywordflow" > else< / span > {< / div >
< div class = "line" > < a id = "l00699" name = "l00699" > < / a > < span class = "lineno" > 699< / span > < span class = "keywordflow" > return< / span > PopBack(& even_queue_);< / div >
< div class = "line" > < a id = "l00700" name = "l00700" > < / a > < span class = "lineno" > 700< / span > }< / div >
< div class = "line" > < a id = "l00701" name = "l00701" > < / a > < span class = "lineno" > 701< / span > }< / div >
< div class = "line" > < a id = "l00702" name = "l00702" > < / a > < span class = "lineno" > 702< / span > < / div >
< div class = "line" > < a id = "l00703" name = "l00703" > < / a > < span class = "lineno" > 703< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > Element, < span class = "keyword" > typename< / span > IntegerPriority> < / div >
< div class = "line" > < a id = "l00704" name = "l00704" > < / a > < span class = "lineno" > 704< / span > Element < a class = "code hl_class" href = "classoperations__research_1_1_priority_queue_with_restricted_push.html" > PriorityQueueWithRestrictedPush< Element, IntegerPriority> ::PopBack< / a > (< / div >
< div class = "line" > < a id = "l00705" name = "l00705" > < / a > < span class = "lineno" > 705< / span > std::vector< std::pair< Element, IntegerPriority> > * queue) {< / div >
< div class = "line" > < a id = "l00706" name = "l00706" > < / a > < span class = "lineno" > 706< / span > < a class = "code hl_define" href = "base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006" > DCHECK< / a > (!queue-> empty());< / div >
< div class = "line" > < a id = "l00707" name = "l00707" > < / a > < span class = "lineno" > 707< / span > Element element = queue-> back().first;< / div >
< div class = "line" > < a id = "l00708" name = "l00708" > < / a > < span class = "lineno" > 708< / span > queue-> pop_back();< / div >
< div class = "line" > < a id = "l00709" name = "l00709" > < / a > < span class = "lineno" > 709< / span > < span class = "keywordflow" > return< / span > element;< / div >
< div class = "line" > < a id = "l00710" name = "l00710" > < / a > < span class = "lineno" > 710< / span > }< / div >
< div class = "line" > < a id = "l00711" name = "l00711" > < / a > < span class = "lineno" > 711< / span > < / div >
< div class = "line" > < a id = "l00712" name = "l00712" > < / a > < span class = "lineno" > 712< / span > } < span class = "comment" > // namespace operations_research< / span > < / div >
< div class = "line" > < a id = "l00713" name = "l00713" > < / a > < span class = "lineno" > 713< / span > < span class = "preprocessor" > #endif < / span > < span class = "comment" > // OR_TOOLS_GRAPH_MAX_FLOW_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 >
2022-03-04 00:11:33 +01:00
< 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 >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1_ebert_graph_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_ebert_graph.html" > operations_research::EbertGraph< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "ebert__graph_8h_source.html#l01187" > ebert_graph.h:1189< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html" > operations_research::GenericMaxFlow< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00315" > max_flow.h:315< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a0d012d3907b8306ddfc1a7089342fbe2" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a0d012d3907b8306ddfc1a7089342fbe2" > operations_research::GenericMaxFlow::OutgoingArcIterator< / a > < / div > < div class = "ttdeci" > Graph::OutgoingArcIterator OutgoingArcIterator< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00319" > max_flow.h:319< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a0f81f6e049ffb2b2a27c8e45dc0a25a0" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a0f81f6e049ffb2b2a27c8e45dc0a25a0" > operations_research::GenericMaxFlow::InitializePreflow< / a > < / div > < div class = "ttdeci" > void InitializePreflow()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00394" > max_flow.cc:394< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a12ffc143b8d66de80c07572cc8509037" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a12ffc143b8d66de80c07572cc8509037" > operations_research::GenericMaxFlow::CheckInputConsistency< / a > < / div > < div class = "ttdeci" > bool CheckInputConsistency() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00178" > max_flow.cc:178< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a142146c1af2855fc821d7bd4c0af6130" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a142146c1af2855fc821d7bd4c0af6130" > operations_research::GenericMaxFlow::GetOptimalFlow< / a > < / div > < div class = "ttdeci" > FlowQuantity GetOptimalFlow() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00361" > max_flow.h:361< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a187f8b09657eacdfef77202c595543f6" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a187f8b09657eacdfef77202c595543f6" > operations_research::GenericMaxFlow::Relabel< / a > < / div > < div class = "ttdeci" > void Relabel(NodeIndex node)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00894" > max_flow.cc:894< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a189d42cc721a58aa0b397cc44da875b7" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a189d42cc721a58aa0b397cc44da875b7" > operations_research::GenericMaxFlow::IsAdmissible< / a > < / div > < div class = "ttdeci" > bool IsAdmissible(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00430" > max_flow.h:430< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a19193cb3045a42a4154d3860b92dc65b" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a19193cb3045a42a4154d3860b92dc65b" > operations_research::GenericMaxFlow::active_nodes_< / a > < / div > < div class = "ttdeci" > std::vector< NodeIndex > active_nodes_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00590" > max_flow.h:590< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a21776d0248204801a49c42b46902c1a1" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a21776d0248204801a49c42b46902c1a1" > operations_research::GenericMaxFlow::SetArcCapacity< / a > < / div > < div class = "ttdeci" > void SetArcCapacity(ArcIndex arc, FlowQuantity new_capacity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00190" > max_flow.cc:190< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a2212ce00ee245370c5cb71234244027a" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a2212ce00ee245370c5cb71234244027a" > operations_research::GenericMaxFlow::DebugString< / a > < / div > < div class = "ttdeci" > std::string DebugString(const std::string & context, ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00333" > max_flow.cc:333< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a24f768765349e100ca2ef7697d1b52d5" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a24f768765349e100ca2ef7697d1b52d5" > operations_research::GenericMaxFlow::SaturateOutgoingArcsFromSource< / a > < / div > < div class = "ttdeci" > bool SaturateOutgoingArcsFromSource()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00690" > max_flow.cc:690< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a277838ded7171a604a67babdbea05988" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a277838ded7171a604a67babdbea05988" > operations_research::GenericMaxFlow::OutgoingOrOppositeIncomingArcIterator< / a > < / div > < div class = "ttdeci" > Graph::OutgoingOrOppositeIncomingArcIterator OutgoingOrOppositeIncomingArcIterator< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00321" > max_flow.h:321< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a28b52dfd2da6e91a8e1e0d039c1d4154" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a28b52dfd2da6e91a8e1e0d039c1d4154" > operations_research::GenericMaxFlow::GlobalUpdate< / a > < / div > < div class = "ttdeci" > void GlobalUpdate()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00580" > max_flow.cc:580< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a29b76a85638e0b4ce0f715c5bbba3f81" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a29b76a85638e0b4ce0f715c5bbba3f81" > operations_research::GenericMaxFlow::GetSourceNodeIndex< / a > < / div > < div class = "ttdeci" > NodeIndex GetSourceNodeIndex() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00346" > max_flow.h:346< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a2a420ad8221c326064736ccf148d2f93" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a2a420ad8221c326064736ccf148d2f93" > operations_research::GenericMaxFlow::Flow< / a > < / div > < div class = "ttdeci" > FlowQuantity Flow(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00365" > max_flow.h:365< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a2a555ba2dc0a468e6fee4a0665b12272" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a2a555ba2dc0a468e6fee4a0665b12272" > operations_research::GenericMaxFlow::CheckRelabelPrecondition< / a > < / div > < div class = "ttdeci" > bool CheckRelabelPrecondition(NodeIndex node) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00322" > max_flow.cc:322< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a2b834b1bfbaef46bbf4a3f991a26f9a3" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a2b834b1bfbaef46bbf4a3f991a26f9a3" > operations_research::GenericMaxFlow::bfs_queue_< / a > < / div > < div class = "ttdeci" > std::vector< NodeIndex > bfs_queue_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00611" > max_flow.h:611< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a2cb1ce0e6ac75b050ffc3a7bfd35a8b2" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a2cb1ce0e6ac75b050ffc3a7bfd35a8b2" > operations_research::GenericMaxFlow::kMaxFlowQuantity< / a > < / div > < div class = "ttdeci" > static const FlowQuantity kMaxFlowQuantity< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00544" > max_flow.h:544< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a33996084cb5b29f77cc6ee673b6ece51" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a33996084cb5b29f77cc6ee673b6ece51" > operations_research::GenericMaxFlow::process_node_by_height_< / a > < / div > < div class = "ttdeci" > bool process_node_by_height_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00629" > max_flow.h:629< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a36cb25d76543d62ce93f2bfc693bf2df" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a36cb25d76543d62ce93f2bfc693bf2df" > operations_research::GenericMaxFlow::CreateFlowModel< / a > < / div > < div class = "ttdeci" > FlowModelProto CreateFlowModel()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00981" > max_flow.cc:981< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a3702055ec6affa60e6862cd0e63f9a7b" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a3702055ec6affa60e6862cd0e63f9a7b" > operations_research::GenericMaxFlow::first_admissible_arc_< / a > < / div > < div class = "ttdeci" > ArcIndexArray first_admissible_arc_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00584" > max_flow.h:584< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a38f480b60f3812345680d2267770ee5c" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a38f480b60f3812345680d2267770ee5c" > operations_research::GenericMaxFlow::SetArcFlow< / a > < / div > < div class = "ttdeci" > void SetArcFlow(ArcIndex arc, FlowQuantity new_flow)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00224" > max_flow.cc:224< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a3a4afd902c22768de7955ba9983fb282" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a3a4afd902c22768de7955ba9983fb282" > operations_research::GenericMaxFlow::PushFlowExcessBackToSource< / a > < / div > < div class = "ttdeci" > void PushFlowExcessBackToSource()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00425" > max_flow.cc:425< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a3b2203f6789a10763c6ae978bf26b402" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a3b2203f6789a10763c6ae978bf26b402" > operations_research::GenericMaxFlow::use_global_update_< / a > < / div > < div class = "ttdeci" > bool use_global_update_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00614" > max_flow.h:614< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a420abfd079f041eac775859ab19e644d" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a420abfd079f041eac775859ab19e644d" > operations_research::GenericMaxFlow::PushActiveNode< / a > < / div > < div class = "ttdeci" > void PushActiveNode(const NodeIndex & node)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00468" > max_flow.h:468< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a44aa9e2f47277c91d8064c7126a2ff48" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a44aa9e2f47277c91d8064c7126a2ff48" > operations_research::GenericMaxFlow::ArcIndex< / a > < / div > < div class = "ttdeci" > Graph::ArcIndex ArcIndex< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00318" > max_flow.h:318< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a4549e7f9a27adb25091a91101b8fddbd" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a4549e7f9a27adb25091a91101b8fddbd" > operations_research::GenericMaxFlow::SetUseTwoPhaseAlgorithm< / a > < / div > < div class = "ttdeci" > void SetUseTwoPhaseAlgorithm(bool value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00418" > max_flow.h:418< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a4ddaeee9414a17257bb052c459325caf" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a4ddaeee9414a17257bb052c459325caf" > operations_research::GenericMaxFlow::NodeIndex< / a > < / div > < div class = "ttdeci" > Graph::NodeIndex NodeIndex< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00317" > max_flow.h:317< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a4ede8a987bfe0972a51942bbca22d4c1" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a4ede8a987bfe0972a51942bbca22d4c1" > operations_research::GenericMaxFlow::GetSourceSideMinCut< / a > < / div > < div class = "ttdeci" > void GetSourceSideMinCut(std::vector< NodeIndex > *result)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00240" > max_flow.cc:240< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a5b7429be4ec8b98658d0b035261b1483" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a5b7429be4ec8b98658d0b035261b1483" > operations_research::GenericMaxFlow::node_potential_< / a > < / div > < div class = "ttdeci" > NodeHeightArray node_potential_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00563" > max_flow.h:563< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a689c39e9d4a7bdb9d64e270b8c9abcbd" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a689c39e9d4a7bdb9d64e270b8c9abcbd" > operations_research::GenericMaxFlow::use_two_phase_algorithm_< / a > < / div > < div class = "ttdeci" > bool use_two_phase_algorithm_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00621" > max_flow.h:621< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a6b27587e2eba1f139e5b5b2609315aaa" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a6b27587e2eba1f139e5b5b2609315aaa" > operations_research::GenericMaxFlow::SetUseGlobalUpdate< / a > < / div > < div class = "ttdeci" > void SetUseGlobalUpdate(bool value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00414" > max_flow.h:414< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a7316c54af53df2e1f2ebc3d7fa1d5c45" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a7316c54af53df2e1f2ebc3d7fa1d5c45" > operations_research::GenericMaxFlow::InitializeActiveNodeContainer< / a > < / div > < div class = "ttdeci" > void InitializeActiveNodeContainer()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00755" > max_flow.cc:755< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a798f41062d76af3baabada0c4c0580ea" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a798f41062d76af3baabada0c4c0580ea" > operations_research::GenericMaxFlow::NodeHeight< / a > < / div > < div class = "ttdeci" > NodeIndex NodeHeight< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00327" > max_flow.h:327< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a7ba7917e55551f771954c4323992a9ab" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a7ba7917e55551f771954c4323992a9ab" > operations_research::GenericMaxFlow::SetCapacityAndClearFlow< / a > < / div > < div class = "ttdeci" > void SetCapacityAndClearFlow(ArcIndex arc, FlowQuantity capacity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00442" > max_flow.h:442< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a7c6fc06ca542eed0ff0b6ed4b1ecbcda" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a7c6fc06ca542eed0ff0b6ed4b1ecbcda" > operations_research::GenericMaxFlow::stats_< / a > < / div > < div class = "ttdeci" > StatsGroup stats_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00641" > max_flow.h:641< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a852dcceddb3bc2642eb867cc3663c0fe" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a852dcceddb3bc2642eb867cc3663c0fe" > operations_research::GenericMaxFlow::NodeHeightArray< / a > < / div > < div class = "ttdeci" > ZVector< NodeHeight > NodeHeightArray< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00328" > max_flow.h:328< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a876e41aaef1635d059d9d79dd08bbfc3" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a876e41aaef1635d059d9d79dd08bbfc3" > operations_research::GenericMaxFlow::check_result_< / a > < / div > < div class = "ttdeci" > bool check_result_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00638" > max_flow.h:638< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a88421a0f6fd8896906a4a4b86f41ca4f" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a88421a0f6fd8896906a4a4b86f41ca4f" > operations_research::GenericMaxFlow::graph< / a > < / div > < div class = "ttdeci" > const Graph * graph() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00338" > max_flow.h:338< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a89970809d6caccf0fc1ba38d7d955254" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a89970809d6caccf0fc1ba38d7d955254" > operations_research::GenericMaxFlow::GetAndRemoveFirstActiveNode< / a > < / div > < div class = "ttdeci" > NodeIndex GetAndRemoveFirstActiveNode()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00460" > max_flow.h:460< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a8b98114a0a6beb83e5b36e4e461659fd" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a8b98114a0a6beb83e5b36e4e461659fd" > operations_research::GenericMaxFlow::node_in_bfs_queue_< / a > < / div > < div class = "ttdeci" > std::vector< bool > node_in_bfs_queue_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00610" > max_flow.h:610< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a8f70d2ab94c2c3a7f05c6f2a3bc18573" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a8f70d2ab94c2c3a7f05c6f2a3bc18573" > operations_research::GenericMaxFlow::IsEmptyActiveNodeContainer< / a > < / div > < div class = "ttdeci" > bool IsEmptyActiveNodeContainer()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00477" > max_flow.h:477< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a942f29030f08426e7e318204e987e2f7" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a942f29030f08426e7e318204e987e2f7" > operations_research::GenericMaxFlow::Solve< / a > < / div > < div class = "ttdeci" > bool Solve()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00349" > max_flow.cc:349< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_a9dcd8610149406a1593d2a0725290482" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#a9dcd8610149406a1593d2a0725290482" > operations_research::GenericMaxFlow::Capacity< / a > < / div > < div class = "ttdeci" > FlowQuantity Capacity(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00375" > max_flow.h:375< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_aa4e5f2ba9abcf71460c68a4903abc7bc" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#aa4e5f2ba9abcf71460c68a4903abc7bc" > operations_research::GenericMaxFlow::SetCheckResult< / a > < / div > < div class = "ttdeci" > void SetCheckResult(bool value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00420" > max_flow.h:420< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_aa5f729a6274027e5e5478e4bd76603ca" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#aa5f729a6274027e5e5478e4bd76603ca" > operations_research::GenericMaxFlow::Head< / a > < / div > < div class = "ttdeci" > NodeIndex Head(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00532" > max_flow.h:532< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_aa76638d2f8eddf2c3d9778b3c1285010" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#aa76638d2f8eddf2c3d9778b3c1285010" > operations_research::GenericMaxFlow::SetCheckInput< / a > < / div > < div class = "ttdeci" > void SetCheckInput(bool value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00419" > max_flow.h:419< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_aab4ab1dc9be85072322b17c1f56fe208" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#aab4ab1dc9be85072322b17c1f56fe208" > operations_research::GenericMaxFlow::source_< / a > < / div > < div class = "ttdeci" > NodeIndex source_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00600" > max_flow.h:600< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_aac87a51b41d88b6976a12007bae9b91d" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#aac87a51b41d88b6976a12007bae9b91d" > operations_research::GenericMaxFlow::CheckResult< / a > < / div > < div class = "ttdeci" > bool CheckResult() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00251" > max_flow.cc:251< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ab478e83cea51fd1e9656030ea4667286" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ab478e83cea51fd1e9656030ea4667286" > operations_research::GenericMaxFlow::residual_arc_capacity_< / a > < / div > < div class = "ttdeci" > QuantityArray residual_arc_capacity_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00581" > max_flow.h:581< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ab49dbdb731f80e626e575bdf66835f46" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ab49dbdb731f80e626e575bdf66835f46" > operations_research::GenericMaxFlow::Tail< / a > < / div > < div class = "ttdeci" > NodeIndex Tail(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00533" > max_flow.h:533< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ab9d95dc874e5c2d424cecd251fd7ff82" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ab9d95dc874e5c2d424cecd251fd7ff82" > operations_research::GenericMaxFlow::IncomingArcIterator< / a > < / div > < div class = "ttdeci" > Graph::IncomingArcIterator IncomingArcIterator< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00322" > max_flow.h:322< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_abab657a2626df3ab99dfd21d811ff43c" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#abab657a2626df3ab99dfd21d811ff43c" > operations_research::GenericMaxFlow::~GenericMaxFlow< / a > < / div > < div class = "ttdeci" > virtual ~GenericMaxFlow()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00335" > max_flow.h:335< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_abedc5621560431c2527859bd5d1ab8fc" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#abedc5621560431c2527859bd5d1ab8fc" > operations_research::GenericMaxFlow::PushFlow< / a > < / div > < div class = "ttdeci" > void PushFlow(FlowQuantity flow, ArcIndex arc)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00733" > max_flow.cc:733< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_abf8c6fcb7d9c9fa39e283d086f0bb345" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#abf8c6fcb7d9c9fa39e283d086f0bb345" > operations_research::GenericMaxFlow::status_< / a > < / div > < div class = "ttdeci" > Status status_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00606" > max_flow.h:606< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ac0290c8f8892c50d7b29e9770fda4923" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ac0290c8f8892c50d7b29e9770fda4923" > operations_research::GenericMaxFlow::ComputeReachableNodes< / a > < / div > < div class = "ttdeci" > void ComputeReachableNodes(NodeIndex start, std::vector< NodeIndex > *result)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00947" > max_flow.cc:947< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ac17ea9ef2dc1b5eace76f625abe36475" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ac17ea9ef2dc1b5eace76f625abe36475" > operations_research::GenericMaxFlow::IsArcValid< / a > < / div > < div class = "ttdeci" > bool IsArcValid(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00937" > max_flow.cc:937< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_acef9fcefb0d5124677a8a9b460c30410" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#acef9fcefb0d5124677a8a9b460c30410" > operations_research::GenericMaxFlow::GenericMaxFlow< / a > < / div > < div class = "ttdeci" > GenericMaxFlow(const Graph *graph, NodeIndex source, NodeIndex sink)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00140" > max_flow.cc:140< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad28be43d46715cda54108a189081d139" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad28be43d46715cda54108a189081d139" > operations_research::GenericMaxFlow::RefineWithGlobalUpdate< / a > < / div > < div class = "ttdeci" > void RefineWithGlobalUpdate()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00809" > max_flow.cc:809< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad2ab85b2912dbf12804d3d1ddea9ec15" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad2ab85b2912dbf12804d3d1ddea9ec15" > operations_research::GenericMaxFlow::ArcIndexArray< / a > < / div > < div class = "ttdeci" > ZVector< ArcIndex > ArcIndexArray< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00323" > max_flow.h:323< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad3f0f2aad2e5ba39481e3aad8de1fcda" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad3f0f2aad2e5ba39481e3aad8de1fcda" > operations_research::GenericMaxFlow::AugmentingPathExists< / a > < / div > < div class = "ttdeci" > bool AugmentingPathExists() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00293" > max_flow.cc:293< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad45b094d532baccee95649c24192f87a" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad45b094d532baccee95649c24192f87a" > operations_research::GenericMaxFlow::Refine< / a > < / div > < div class = "ttdeci" > void Refine()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00770" > max_flow.cc:770< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad88eea96f82ba29e252f3e07cdb84378" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad88eea96f82ba29e252f3e07cdb84378" > operations_research::GenericMaxFlow::graph_< / a > < / div > < div class = "ttdeci" > const Graph * graph_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00547" > max_flow.h:547< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad8ca9f0f372e03f5cf3af1e163230792" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad8ca9f0f372e03f5cf3af1e163230792" > operations_research::GenericMaxFlow::GetSinkSideMinCut< / a > < / div > < div class = "ttdeci" > void GetSinkSideMinCut(std::vector< NodeIndex > *result)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00246" > max_flow.cc:246< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ad96578b8ab41d25a3daa9f219c168b9f" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ad96578b8ab41d25a3daa9f219c168b9f" > operations_research::GenericMaxFlow::check_input_< / a > < / div > < div class = "ttdeci" > bool check_input_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00634" > max_flow.h:634< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_adb1490a44086db009cdb51f854a02a65" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#adb1490a44086db009cdb51f854a02a65" > operations_research::GenericMaxFlow::status< / a > < / div > < div class = "ttdeci" > Status status() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00343" > max_flow.h:343< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ae5ff1c955df682c39482f2cc5e23e900" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ae5ff1c955df682c39482f2cc5e23e900" > operations_research::GenericMaxFlow::Opposite< / a > < / div > < div class = "ttdeci" > ArcIndex Opposite(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00927" > max_flow.cc:927< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_ae93d8aa8c02df69fd88f9cdd1463bae3" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#ae93d8aa8c02df69fd88f9cdd1463bae3" > operations_research::GenericMaxFlow::ProcessNodeByHeight< / a > < / div > < div class = "ttdeci" > void ProcessNodeByHeight(bool value)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00421" > max_flow.h:421< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_aee97cd3a6def72d85d4685c134d11671" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#aee97cd3a6def72d85d4685c134d11671" > operations_research::GenericMaxFlow::sink_< / a > < / div > < div class = "ttdeci" > NodeIndex sink_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00603" > max_flow.h:603< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_af337463a7577a73e5140bfe6518852b1" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#af337463a7577a73e5140bfe6518852b1" > operations_research::GenericMaxFlow::IsActive< / a > < / div > < div class = "ttdeci" > bool IsActive(NodeIndex node) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00437" > max_flow.h:437< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_af3a76f97fe869af7137bbc9a165353b1" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#af3a76f97fe869af7137bbc9a165353b1" > operations_research::GenericMaxFlow::IsArcDirect< / a > < / div > < div class = "ttdeci" > bool IsArcDirect(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00932" > max_flow.cc:932< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_af412987a2f98057ca8c6015782418eac" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#af412987a2f98057ca8c6015782418eac" > operations_research::GenericMaxFlow::GetSinkNodeIndex< / a > < / div > < div class = "ttdeci" > NodeIndex GetSinkNodeIndex() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00349" > max_flow.h:349< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_af4b75883cbba15f442c627f5da96f470" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#af4b75883cbba15f442c627f5da96f470" > operations_research::GenericMaxFlow::Discharge< / a > < / div > < div class = "ttdeci" > void Discharge(NodeIndex node)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00862" > max_flow.cc:862< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_af63274e5211be9578b29f56f29936964" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#af63274e5211be9578b29f56f29936964" > operations_research::GenericMaxFlow::node_excess_< / a > < / div > < div class = "ttdeci" > QuantityArray node_excess_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00550" > max_flow.h:550< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_generic_max_flow_html_afc300bdfdbe5ce3296bacd00acce0b3f" > < div class = "ttname" > < a href = "classoperations__research_1_1_generic_max_flow.html#afc300bdfdbe5ce3296bacd00acce0b3f" > operations_research::GenericMaxFlow::active_node_by_height_< / a > < / div > < div class = "ttdeci" > PriorityQueueWithRestrictedPush< NodeIndex, NodeHeight > active_node_by_height_< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00597" > max_flow.h:597< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow.html" > operations_research::MaxFlow< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00652" > max_flow.h:652< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_html_a591efdde87d4b90a85680d4f60dbc88a" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow.html#a591efdde87d4b90a85680d4f60dbc88a" > operations_research::MaxFlow::MaxFlow< / a > < / div > < div class = "ttdeci" > MaxFlow(const StarGraph *graph, NodeIndex source, NodeIndex target)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00654" > max_flow.h:654< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html" > operations_research::MaxFlowStatusClass< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00300" > max_flow.h:300< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html_a67a0db04d321a74b7e7fcfd3f1a3f70b" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > operations_research::MaxFlowStatusClass::Status< / a > < / div > < div class = "ttdeci" > Status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00302" > max_flow.h:302< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html_a67a0db04d321a74b7e7fcfd3f1a3f70ba0e6873a155f86a4695f463bf8601d05f" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba0e6873a155f86a4695f463bf8601d05f" > operations_research::MaxFlowStatusClass::NOT_SOLVED< / a > < / div > < div class = "ttdeci" > @ NOT_SOLVED< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00303" > max_flow.h:303< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html_a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > operations_research::MaxFlowStatusClass::OPTIMAL< / a > < / div > < div class = "ttdeci" > @ OPTIMAL< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00304" > max_flow.h:304< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html_a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > operations_research::MaxFlowStatusClass::BAD_INPUT< / a > < / div > < div class = "ttdeci" > @ BAD_INPUT< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00306" > max_flow.h:306< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html_a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > operations_research::MaxFlowStatusClass::BAD_RESULT< / a > < / div > < div class = "ttdeci" > @ BAD_RESULT< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00308" > max_flow.h:307< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_max_flow_status_class_html_a67a0db04d321a74b7e7fcfd3f1a3f70baef3d63bf3419a0e33cd86b58fadc640b" > < div class = "ttname" > < a href = "classoperations__research_1_1_max_flow_status_class.html#a67a0db04d321a74b7e7fcfd3f1a3f70baef3d63bf3419a0e33cd86b58fadc640b" > operations_research::MaxFlowStatusClass::INT_OVERFLOW< / a > < / div > < div class = "ttdeci" > @ INT_OVERFLOW< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00305" > max_flow.h:305< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_priority_queue_with_restricted_push_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_priority_queue_with_restricted_push.html" > operations_research::PriorityQueueWithRestrictedPush< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00264" > max_flow.h:264< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_priority_queue_with_restricted_push_html_a3b2c821405c1875d5f8975e1ceae6a60" > < div class = "ttname" > < a href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a3b2c821405c1875d5f8975e1ceae6a60" > operations_research::PriorityQueueWithRestrictedPush::PriorityQueueWithRestrictedPush< / a > < / div > < div class = "ttdeci" > PriorityQueueWithRestrictedPush()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00266" > max_flow.h:266< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_priority_queue_with_restricted_push_html_a83681186fdc5615ec1185ad4075e1023" > < div class = "ttname" > < a href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a83681186fdc5615ec1185ad4075e1023" > operations_research::PriorityQueueWithRestrictedPush::Push< / a > < / div > < div class = "ttdeci" > void Push(Element element, IntegerPriority priority)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00673" > max_flow.h:673< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_priority_queue_with_restricted_push_html_a8e12342fc420701fbffd97025421575a" > < div class = "ttname" > < a href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#a8e12342fc420701fbffd97025421575a" > operations_research::PriorityQueueWithRestrictedPush::IsEmpty< / a > < / div > < div class = "ttdeci" > bool IsEmpty() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00661" > max_flow.h:661< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_priority_queue_with_restricted_push_html_aa71d36872f416feaa853788a7a7a7ef8" > < div class = "ttname" > < a href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#aa71d36872f416feaa853788a7a7a7ef8" > operations_research::PriorityQueueWithRestrictedPush::Clear< / a > < / div > < div class = "ttdeci" > void Clear()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00667" > max_flow.h:667< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_priority_queue_with_restricted_push_html_af355586ee86be2298efe2e81367eeffe" > < div class = "ttname" > < a href = "classoperations__research_1_1_priority_queue_with_restricted_push.html#af355586ee86be2298efe2e81367eeffe" > operations_research::PriorityQueueWithRestrictedPush::Pop< / a > < / div > < div class = "ttdeci" > Element Pop()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00692" > max_flow.h:692< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html" > operations_research::SimpleMaxFlow< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00152" > max_flow.h:152< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a0b218e6bdef5560b441d7dc1b47d897f" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a0b218e6bdef5560b441d7dc1b47d897f" > operations_research::SimpleMaxFlow::SimpleMaxFlow< / a > < / div > < div class = "ttdeci" > SimpleMaxFlow()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00026" > max_flow.cc:26< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a15e490be6ec543ed3025f6add59231b9" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a15e490be6ec543ed3025f6add59231b9" > operations_research::SimpleMaxFlow::CreateFlowModelProto< / a > < / div > < div class = "ttdeci" > FlowModelProto CreateFlowModelProto(NodeIndex source, NodeIndex sink) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00120" > max_flow.cc:120< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a2a420ad8221c326064736ccf148d2f93" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a2a420ad8221c326064736ccf148d2f93" > operations_research::SimpleMaxFlow::Flow< / a > < / div > < div class = "ttdeci" > FlowQuantity Flow(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00108" > max_flow.cc:108< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a3be0f6fcc44bc6a4a1e976c1e60b31d0" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a3be0f6fcc44bc6a4a1e976c1e60b31d0" > operations_research::SimpleMaxFlow::NumNodes< / a > < / div > < div class = "ttdeci" > NodeIndex NumNodes() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00039" > max_flow.cc:39< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a4ede8a987bfe0972a51942bbca22d4c1" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a4ede8a987bfe0972a51942bbca22d4c1" > operations_research::SimpleMaxFlow::GetSourceSideMinCut< / a > < / div > < div class = "ttdeci" > void GetSourceSideMinCut(std::vector< NodeIndex > *result)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00110" > max_flow.cc:110< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a57f5767b51471aa3c021db1cb451726e" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a57f5767b51471aa3c021db1cb451726e" > operations_research::SimpleMaxFlow::Solve< / a > < / div > < div class = "ttdeci" > Status Solve(NodeIndex source, NodeIndex sink)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00055" > max_flow.cc:55< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a67a0db04d321a74b7e7fcfd3f1a3f70b" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70b" > operations_research::SimpleMaxFlow::Status< / a > < / div > < div class = "ttdeci" > Status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00180" > max_flow.h:180< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba2579881e7c83261bc21bafb5a5c92cad" > operations_research::SimpleMaxFlow::OPTIMAL< / a > < / div > < div class = "ttdeci" > @ OPTIMAL< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00183" > max_flow.h:183< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a67a0db04d321a74b7e7fcfd3f1a3f70ba63e6c2750d99f3c548e6a08bb6822fe2" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70ba63e6c2750d99f3c548e6a08bb6822fe2" > operations_research::SimpleMaxFlow::POSSIBLE_OVERFLOW< / a > < / div > < div class = "ttdeci" > @ POSSIBLE_OVERFLOW< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00190" > max_flow.h:190< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac2811be86dd03c6735e3b0db51ad914f" > operations_research::SimpleMaxFlow::BAD_INPUT< / a > < / div > < div class = "ttdeci" > @ BAD_INPUT< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00192" > max_flow.h:192< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a67a0db04d321a74b7e7fcfd3f1a3f70bac76ecfd837bdc6d4150bb02c403356e4" > operations_research::SimpleMaxFlow::BAD_RESULT< / a > < / div > < div class = "ttdeci" > @ BAD_RESULT< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8h_source.html#l00195" > max_flow.h:194< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a7898be8b7efbfe53a58fcf621cf41315" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a7898be8b7efbfe53a58fcf621cf41315" > operations_research::SimpleMaxFlow::NumArcs< / a > < / div > < div class = "ttdeci" > ArcIndex NumArcs() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00041" > max_flow.cc:41< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a865dfd15177ea8b4cd75a34ab9cee1b1" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a865dfd15177ea8b4cd75a34ab9cee1b1" > operations_research::SimpleMaxFlow::OptimalFlow< / a > < / div > < div class = "ttdeci" > FlowQuantity OptimalFlow() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00106" > max_flow.cc:106< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a9d8699dbc3e3b9cadc36d4fd5ee29dce" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a9d8699dbc3e3b9cadc36d4fd5ee29dce" > operations_research::SimpleMaxFlow::AddArcWithCapacity< / a > < / div > < div class = "ttdeci" > ArcIndex AddArcWithCapacity(NodeIndex tail, NodeIndex head, FlowQuantity capacity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00028" > max_flow.cc:28< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_a9dcd8610149406a1593d2a0725290482" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#a9dcd8610149406a1593d2a0725290482" > operations_research::SimpleMaxFlow::Capacity< / a > < / div > < div class = "ttdeci" > FlowQuantity Capacity(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00047" > max_flow.cc:47< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_aa5f729a6274027e5e5478e4bd76603ca" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#aa5f729a6274027e5e5478e4bd76603ca" > operations_research::SimpleMaxFlow::Head< / a > < / div > < div class = "ttdeci" > NodeIndex Head(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00045" > max_flow.cc:45< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_ab49dbdb731f80e626e575bdf66835f46" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#ab49dbdb731f80e626e575bdf66835f46" > operations_research::SimpleMaxFlow::Tail< / a > < / div > < div class = "ttdeci" > NodeIndex Tail(ArcIndex arc) const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00043" > max_flow.cc:43< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_ac7bfd46bed70e12f118aa53df0c26769" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#ac7bfd46bed70e12f118aa53df0c26769" > operations_research::SimpleMaxFlow::SetArcCapacity< / a > < / div > < div class = "ttdeci" > void SetArcCapacity(ArcIndex arc, FlowQuantity capacity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00051" > max_flow.cc:51< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_simple_max_flow_html_ad8ca9f0f372e03f5cf3af1e163230792" > < div class = "ttname" > < a href = "classoperations__research_1_1_simple_max_flow.html#ad8ca9f0f372e03f5cf3af1e163230792" > operations_research::SimpleMaxFlow::GetSinkSideMinCut< / a > < / div > < div class = "ttdeci" > void GetSinkSideMinCut(std::vector< NodeIndex > *result)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "max__flow_8cc_source.html#l00115" > max_flow.cc:115< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_stats_group_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_stats_group.html" > operations_research::StatsGroup< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "stats_8h_source.html#l00131" > stats.h:131< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1_z_vector_html" > < div class = "ttname" > < a href = "classoperations__research_1_1_z_vector.html" > operations_research::ZVector< ArcIndex > < / a > < / div > < / div >
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2022-03-04 00:11:33 +01:00
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2022-01-17 21:42:14 +01:00
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< div class = "ttc" id = "anamespaceoperations__research_html" > < div class = "ttname" > < a href = "namespaceoperations__research.html" > operations_research< / a > < / div > < div class = "ttdoc" > Collection of objects used to extend the Constraint Solver library.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "dense__doubly__linked__list_8h_source.html#l00021" > dense_doubly_linked_list.h:21< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_html_a259d58fc853dd928f2148dbcf1ef25cd" > < div class = "ttname" > < a href = "namespaceoperations__research.html#a259d58fc853dd928f2148dbcf1ef25cd" > operations_research::FlowQuantity< / a > < / div > < div class = "ttdeci" > int64_t FlowQuantity< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "ebert__graph_8h_source.html#l00203" > ebert_graph.h:203< / 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_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 = "anamespaceutil_html_a2f76166dbe0c4055a1f256235ad00478" > < div class = "ttname" > < a href = "namespaceutil.html#a2f76166dbe0c4055a1f256235ad00478" > util::Graph< / a > < / div > < div class = "ttdeci" > ListGraph Graph< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "graph_8h_source.html#l02362" > graph.h:2362< / a > < / div > < / div >
< div class = "ttc" id = "arouting__flow_8cc_html_a2acb49f4df5288066c43610bede123ec" > < div class = "ttname" > < a href = "routing__flow_8cc.html#a2acb49f4df5288066c43610bede123ec" > capacity< / a > < / div > < div class = "ttdeci" > int64_t capacity< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "routing__flow_8cc_source.html#l00151" > routing_flow.cc:151< / a > < / div > < / div >
< div class = "ttc" id = "arouting__flow_8cc_html_a64e7efc5529154ba56903e75f5300990" > < div class = "ttname" > < a href = "routing__flow_8cc.html#a64e7efc5529154ba56903e75f5300990" > tail< / a > < / div > < div class = "ttdeci" > int64_t tail< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "routing__flow_8cc_source.html#l00149" > routing_flow.cc:149< / a > < / div > < / div >
< div class = "ttc" id = "arouting__flow_8cc_html_afca32f65388659a4b0956496169488b4" > < div class = "ttname" > < a href = "routing__flow_8cc.html#afca32f65388659a4b0956496169488b4" > head< / a > < / div > < div class = "ttdeci" > int64_t head< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "routing__flow_8cc_source.html#l00150" > routing_flow.cc:150< / a > < / div > < / div >
< div class = "ttc" id = "asparse__submatrix_8cc_html_a9b7656b922ea4ec96097d7380c0e61fe" > < div class = "ttname" > < a href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > < / div > < div class = "ttdeci" > int64_t start< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__submatrix_8cc_source.html#l00035" > sparse_submatrix.cc:35< / a > < / div > < / div >
< div class = "ttc" id = "astats_8h_html" > < div class = "ttname" > < a href = "stats_8h.html" > stats.h< / a > < / div > < / div >
< div class = "ttc" id = "azvector_8h_html" > < div class = "ttname" > < a href = "zvector_8h.html" > zvector.h< / a > < / div > < / div >
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