// Copyright (c) The Bitcoin Core developers // Distributed under the MIT software license, see the accompanying // file COPYING or http://www.opensource.org/licenses/mit-license.php. #include #include #include using namespace cluster_linearize; namespace { /** Construct a linear graph. These are pessimal for AncestorCandidateFinder, as they maximize * the number of ancestor set feerate updates. The best ancestor set is always the topmost * remaining transaction, whose removal requires updating all remaining transactions' ancestor * set feerates. */ template DepGraph MakeLinearGraph(ClusterIndex ntx) { DepGraph depgraph; for (ClusterIndex i = 0; i < ntx; ++i) { depgraph.AddTransaction({-int32_t(i), 1}); if (i > 0) depgraph.AddDependency(i - 1, i); } return depgraph; } // Construct a difficult graph. These need at least sqrt(2^(n-1)) iterations in the best // known algorithms (purely empirically determined). template DepGraph MakeHardGraph(ClusterIndex ntx) { DepGraph depgraph; for (ClusterIndex i = 0; i < ntx; ++i) { if (ntx & 1) { // Odd cluster size. // // Mermaid diagram code for the resulting cluster for 11 transactions: // ```mermaid // graph BT // T0["T0: 1/2"];T1["T1: 14/2"];T2["T2: 6/1"];T3["T3: 5/1"];T4["T4: 7/1"]; // T5["T5: 5/1"];T6["T6: 7/1"];T7["T7: 5/1"];T8["T8: 7/1"];T9["T9: 5/1"]; // T10["T10: 7/1"]; // T1-->T0;T1-->T2;T3-->T2;T4-->T3;T4-->T5;T6-->T5;T4-->T7;T8-->T7;T4-->T9;T10-->T9; // ``` if (i == 0) { depgraph.AddTransaction({1, 2}); } else if (i == 1) { depgraph.AddTransaction({14, 2}); depgraph.AddDependency(0, 1); } else if (i == 2) { depgraph.AddTransaction({6, 1}); depgraph.AddDependency(2, 1); } else if (i == 3) { depgraph.AddTransaction({5, 1}); depgraph.AddDependency(2, 3); } else if ((i & 1) == 0) { depgraph.AddTransaction({7, 1}); depgraph.AddDependency(i - 1, i); } else { depgraph.AddTransaction({5, 1}); depgraph.AddDependency(i, 4); } } else { // Even cluster size. // // Mermaid diagram code for the resulting cluster for 10 transactions: // ```mermaid // graph BT // T0["T0: 1"];T1["T1: 3"];T2["T2: 1"];T3["T3: 4"];T4["T4: 0"];T5["T5: 4"];T6["T6: 0"]; // T7["T7: 4"];T8["T8: 0"];T9["T9: 4"]; // T1-->T0;T2-->T0;T3-->T2;T3-->T4;T5-->T4;T3-->T6;T7-->T6;T3-->T8;T9-->T8; // ``` if (i == 0) { depgraph.AddTransaction({1, 1}); } else if (i == 1) { depgraph.AddTransaction({3, 1}); depgraph.AddDependency(0, 1); } else if (i == 2) { depgraph.AddTransaction({1, 1}); depgraph.AddDependency(0, 2); } else if (i & 1) { depgraph.AddTransaction({4, 1}); depgraph.AddDependency(i - 1, i); } else { depgraph.AddTransaction({0, 1}); depgraph.AddDependency(i, 3); } } } return depgraph; } /** Benchmark that does search-based candidate finding with 10000 iterations. * * Its goal is measuring how much time every additional search iteration in linearization costs. */ template void BenchLinearizePerIterWorstCase(ClusterIndex ntx, benchmark::Bench& bench) { const auto depgraph = MakeHardGraph(ntx); const auto iter_limit = std::min(10000, uint64_t{1} << (ntx / 2 - 1)); bench.batch(iter_limit).unit("iters").run([&] { SearchCandidateFinder finder(depgraph); auto [candidate, iters_performed] = finder.FindCandidateSet(iter_limit, {}); assert(iters_performed == iter_limit); }); } /** Benchmark for linearization of a trivial linear graph using just ancestor sort. * * Its goal is measuring how much time linearization may take without any search iterations. * * If P is the resulting time of BenchLinearizePerIterWorstCase, and N is the resulting time of * BenchLinearizeNoItersWorstCase, then an invocation of Linearize with max_iterations=m should * take no more than roughly N+m*P time. This may however be an overestimate, as the worst cases * do not coincide (the ones that are worst for linearization without any search happen to be ones * that do not need many search iterations). */ template void BenchLinearizeNoItersWorstCase(ClusterIndex ntx, benchmark::Bench& bench) { const auto depgraph = MakeLinearGraph(ntx); bench.run([&] { Linearize(depgraph, /*max_iterations=*/0); }); } } // namespace static void LinearizePerIter16TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase>(16, bench); } static void LinearizePerIter32TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase>(32, bench); } static void LinearizePerIter48TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase>(48, bench); } static void LinearizePerIter64TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase>(64, bench); } static void LinearizePerIter75TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase>(75, bench); } static void LinearizePerIter99TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase>(99, bench); } static void LinearizeNoIters16TxWorstCase(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCase>(16, bench); } static void LinearizeNoIters32TxWorstCase(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCase>(32, bench); } static void LinearizeNoIters48TxWorstCase(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCase>(48, bench); } static void LinearizeNoIters64TxWorstCase(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCase>(64, bench); } static void LinearizeNoIters75TxWorstCase(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCase>(75, bench); } static void LinearizeNoIters99TxWorstCase(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCase>(99, bench); } BENCHMARK(LinearizePerIter16TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizePerIter32TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizePerIter48TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizePerIter64TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizePerIter75TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizePerIter99TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizeNoIters16TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizeNoIters32TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizeNoIters48TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizeNoIters64TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizeNoIters75TxWorstCase, benchmark::PriorityLevel::HIGH); BENCHMARK(LinearizeNoIters99TxWorstCase, benchmark::PriorityLevel::HIGH);