Linkgraph: Dynamically adjust accuracy parameters in MCF 1st pass
For larger graphs (>= 50 nodes), reduce the accuracy and set a minimum push flow threshold. This avoids wasting a lot of time calculating very small flow demand increments when the total number of demands is high and most demands are small already.
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@@ -393,15 +393,16 @@ void MultiCommodityFlow::CleanupPaths(NodeID source_id, PathVector &paths)
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* edge.
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* @param edge Edge whose ends the path connects.
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* @param path End of the path the flow should be pushed on.
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* @param min_step_size Minimum flow size.
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* @param accuracy Accuracy of the calculation.
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* @param max_saturation If < UINT_MAX only push flow up to the given
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* saturation, otherwise the path can be "overloaded".
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*/
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uint MultiCommodityFlow::PushFlow(AnnoEdge &edge, Path *path, uint accuracy,
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uint MultiCommodityFlow::PushFlow(AnnoEdge &edge, Path *path, uint min_step_size, uint accuracy,
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uint max_saturation)
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{
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assert(edge.UnsatisfiedDemand() > 0);
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uint flow = Clamp(edge.Demand() / accuracy, 1, edge.UnsatisfiedDemand());
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uint flow = std::min(std::max(edge.Demand() / accuracy, min_step_size), edge.UnsatisfiedDemand());
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flow = path->AddFlow(flow, this->job, max_saturation);
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edge.SatisfyDemand(flow);
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return flow;
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@@ -564,6 +565,25 @@ MCF1stPass::MCF1stPass(LinkGraphJob &job) : MultiCommodityFlow(job)
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bool more_loops;
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std::vector<bool> finished_sources(size);
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uint min_step_size = 1;
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const uint adjust_threshold = 50;
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if (size >= adjust_threshold) {
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uint64 total_demand = 0;
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uint demand_count = 0;
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for (NodeID source = 0; source < size; ++source) {
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for (NodeID dest = 0; dest < size; ++dest) {
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AnnoEdge edge = job[source][dest];
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if (edge.UnsatisfiedDemand() > 0) {
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total_demand += edge.UnsatisfiedDemand();
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demand_count++;
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}
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}
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}
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if (demand_count == 0) return;
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min_step_size = std::max<uint>(min_step_size, (total_demand * (1 + FindLastBit(size / adjust_threshold))) / (size * accuracy));
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accuracy = Clamp(IntSqrt((4 * accuracy * accuracy * size) / demand_count), CeilDiv(accuracy, 4), accuracy);
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}
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do {
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more_loops = false;
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for (NodeID source = 0; source < size; ++source) {
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@@ -582,13 +602,13 @@ MCF1stPass::MCF1stPass(LinkGraphJob &job) : MultiCommodityFlow(job)
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* available capacity. But if no demand has been assigned
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* yet, make an exception and allow any valid path *once*. */
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if (path->GetFreeCapacity() > 0 && this->PushFlow(edge, path,
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accuracy, this->max_saturation) > 0) {
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min_step_size, accuracy, this->max_saturation) > 0) {
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/* If a path has been found there is a chance we can
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* find more. */
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more_loops = more_loops || (edge.UnsatisfiedDemand() > 0);
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} else if (edge.UnsatisfiedDemand() == edge.Demand() &&
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path->GetFreeCapacity() > INT_MIN) {
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this->PushFlow(edge, path, accuracy, UINT_MAX);
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this->PushFlow(edge, path, min_step_size, accuracy, UINT_MAX);
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}
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if (edge.UnsatisfiedDemand() > 0) source_demand_left = true;
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}
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@@ -624,7 +644,7 @@ MCF2ndPass::MCF2ndPass(LinkGraphJob &job) : MultiCommodityFlow(job)
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AnnoEdge edge = this->job[source][dest];
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Path *path = paths[dest];
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if (edge.UnsatisfiedDemand() > 0 && path->GetFreeCapacity() > INT_MIN) {
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this->PushFlow(edge, path, accuracy, UINT_MAX);
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this->PushFlow(edge, path, 1, accuracy, UINT_MAX);
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if (edge.UnsatisfiedDemand() > 0) {
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demand_left = true;
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source_demand_left = true;
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@@ -24,7 +24,7 @@ protected:
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template<class Tannotation, class Tedge_iterator>
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void Dijkstra(NodeID from, PathVector &paths);
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uint PushFlow(AnnoEdge &edge, Path *path, uint accuracy, uint max_saturation);
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uint PushFlow(AnnoEdge &edge, Path *path, uint min_step_size, uint accuracy, uint max_saturation);
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void CleanupPaths(NodeID source, PathVector &paths);
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