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bitcoin-core/src/bench/cluster_linearize.cpp

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C++

// 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 <bench/bench.h>
#include <util/bitset.h>
#include <cluster_linearize.h>
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<typename SetType>
DepGraph<SetType> MakeLinearGraph(ClusterIndex ntx)
{
DepGraph<SetType> 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 wide graph (one root, with N-1 children that are otherwise unrelated, with
* increasing feerates). These graphs are pessimal for the LIMO step in Linearize, because
* rechunking is needed after every candidate (the last transaction gets picked every time).
*/
template<typename SetType>
DepGraph<SetType> MakeWideGraph(ClusterIndex ntx)
{
DepGraph<SetType> depgraph;
for (ClusterIndex i = 0; i < ntx; ++i) {
depgraph.AddTransaction({int32_t(i) + 1, 1});
if (i > 0) depgraph.AddDependency(0, 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<typename SetType>
DepGraph<SetType> MakeHardGraph(ClusterIndex ntx)
{
DepGraph<SetType> 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<typename SetType>
void BenchLinearizePerIterWorstCase(ClusterIndex ntx, benchmark::Bench& bench)
{
const auto depgraph = MakeHardGraph<SetType>(ntx);
const auto iter_limit = std::min<uint64_t>(10000, uint64_t{1} << (ntx / 2 - 1));
uint64_t rng_seed = 0;
bench.batch(iter_limit).unit("iters").run([&] {
SearchCandidateFinder finder(depgraph, rng_seed++);
auto [candidate, iters_performed] = finder.FindCandidateSet(iter_limit, {});
assert(iters_performed == iter_limit);
});
}
/** Benchmark for linearization improvement 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).
*
* This benchmark exercises a worst case for AncestorCandidateFinder, but for which improvement is
* cheap.
*/
template<typename SetType>
void BenchLinearizeNoItersWorstCaseAnc(ClusterIndex ntx, benchmark::Bench& bench)
{
const auto depgraph = MakeLinearGraph<SetType>(ntx);
uint64_t rng_seed = 0;
std::vector<ClusterIndex> old_lin(ntx);
for (ClusterIndex i = 0; i < ntx; ++i) old_lin[i] = i;
bench.run([&] {
Linearize(depgraph, /*max_iterations=*/0, rng_seed++, old_lin);
});
}
/** Benchmark for linearization improvement of a trivial wide graph using just ancestor sort.
*
* Its goal is measuring how much time improving a linearization may take without any search
* iterations, similar to the previous function.
*
* This benchmark exercises a worst case for improving an existing linearization, but for which
* AncestorCandidateFinder is cheap.
*/
template<typename SetType>
void BenchLinearizeNoItersWorstCaseLIMO(ClusterIndex ntx, benchmark::Bench& bench)
{
const auto depgraph = MakeWideGraph<SetType>(ntx);
uint64_t rng_seed = 0;
std::vector<ClusterIndex> old_lin(ntx);
for (ClusterIndex i = 0; i < ntx; ++i) old_lin[i] = i;
bench.run([&] {
Linearize(depgraph, /*max_iterations=*/0, rng_seed++, old_lin);
});
}
template<typename SetType>
void BenchPostLinearizeWorstCase(ClusterIndex ntx, benchmark::Bench& bench)
{
DepGraph<SetType> depgraph = MakeWideGraph<SetType>(ntx);
std::vector<ClusterIndex> lin(ntx);
bench.run([&] {
for (ClusterIndex i = 0; i < ntx; ++i) lin[i] = i;
PostLinearize(depgraph, lin);
});
}
template<typename SetType>
void BenchMergeLinearizationsWorstCase(ClusterIndex ntx, benchmark::Bench& bench)
{
DepGraph<SetType> depgraph;
for (ClusterIndex i = 0; i < ntx; ++i) {
depgraph.AddTransaction({i, 1});
if (i) depgraph.AddDependency(0, i);
}
std::vector<ClusterIndex> lin1;
std::vector<ClusterIndex> lin2;
lin1.push_back(0);
lin2.push_back(0);
for (ClusterIndex i = 1; i < ntx; ++i) {
lin1.push_back(i);
lin2.push_back(ntx - i);
}
bench.run([&] {
MergeLinearizations(depgraph, lin1, lin2);
});
}
} // namespace
static void LinearizePerIter16TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase<BitSet<16>>(16, bench); }
static void LinearizePerIter32TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase<BitSet<32>>(32, bench); }
static void LinearizePerIter48TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase<BitSet<48>>(48, bench); }
static void LinearizePerIter64TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase<BitSet<64>>(64, bench); }
static void LinearizePerIter75TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase<BitSet<75>>(75, bench); }
static void LinearizePerIter99TxWorstCase(benchmark::Bench& bench) { BenchLinearizePerIterWorstCase<BitSet<99>>(99, bench); }
static void LinearizeNoIters16TxWorstCaseAnc(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseAnc<BitSet<16>>(16, bench); }
static void LinearizeNoIters32TxWorstCaseAnc(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseAnc<BitSet<32>>(32, bench); }
static void LinearizeNoIters48TxWorstCaseAnc(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseAnc<BitSet<48>>(48, bench); }
static void LinearizeNoIters64TxWorstCaseAnc(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseAnc<BitSet<64>>(64, bench); }
static void LinearizeNoIters75TxWorstCaseAnc(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseAnc<BitSet<75>>(75, bench); }
static void LinearizeNoIters99TxWorstCaseAnc(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseAnc<BitSet<99>>(99, bench); }
static void LinearizeNoIters16TxWorstCaseLIMO(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseLIMO<BitSet<16>>(16, bench); }
static void LinearizeNoIters32TxWorstCaseLIMO(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseLIMO<BitSet<32>>(32, bench); }
static void LinearizeNoIters48TxWorstCaseLIMO(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseLIMO<BitSet<48>>(48, bench); }
static void LinearizeNoIters64TxWorstCaseLIMO(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseLIMO<BitSet<64>>(64, bench); }
static void LinearizeNoIters75TxWorstCaseLIMO(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseLIMO<BitSet<75>>(75, bench); }
static void LinearizeNoIters99TxWorstCaseLIMO(benchmark::Bench& bench) { BenchLinearizeNoItersWorstCaseLIMO<BitSet<99>>(99, bench); }
static void PostLinearize16TxWorstCase(benchmark::Bench& bench) { BenchPostLinearizeWorstCase<BitSet<16>>(16, bench); }
static void PostLinearize32TxWorstCase(benchmark::Bench& bench) { BenchPostLinearizeWorstCase<BitSet<32>>(32, bench); }
static void PostLinearize48TxWorstCase(benchmark::Bench& bench) { BenchPostLinearizeWorstCase<BitSet<48>>(48, bench); }
static void PostLinearize64TxWorstCase(benchmark::Bench& bench) { BenchPostLinearizeWorstCase<BitSet<64>>(64, bench); }
static void PostLinearize75TxWorstCase(benchmark::Bench& bench) { BenchPostLinearizeWorstCase<BitSet<75>>(75, bench); }
static void PostLinearize99TxWorstCase(benchmark::Bench& bench) { BenchPostLinearizeWorstCase<BitSet<99>>(99, bench); }
static void MergeLinearizations16TxWorstCase(benchmark::Bench& bench) { BenchMergeLinearizationsWorstCase<BitSet<16>>(16, bench); }
static void MergeLinearizations32TxWorstCase(benchmark::Bench& bench) { BenchMergeLinearizationsWorstCase<BitSet<32>>(32, bench); }
static void MergeLinearizations48TxWorstCase(benchmark::Bench& bench) { BenchMergeLinearizationsWorstCase<BitSet<48>>(48, bench); }
static void MergeLinearizations64TxWorstCase(benchmark::Bench& bench) { BenchMergeLinearizationsWorstCase<BitSet<64>>(64, bench); }
static void MergeLinearizations75TxWorstCase(benchmark::Bench& bench) { BenchMergeLinearizationsWorstCase<BitSet<75>>(75, bench); }
static void MergeLinearizations99TxWorstCase(benchmark::Bench& bench) { BenchMergeLinearizationsWorstCase<BitSet<99>>(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(LinearizeNoIters16TxWorstCaseAnc, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters32TxWorstCaseAnc, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters48TxWorstCaseAnc, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters64TxWorstCaseAnc, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters75TxWorstCaseAnc, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters99TxWorstCaseAnc, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters16TxWorstCaseLIMO, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters32TxWorstCaseLIMO, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters48TxWorstCaseLIMO, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters64TxWorstCaseLIMO, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters75TxWorstCaseLIMO, benchmark::PriorityLevel::HIGH);
BENCHMARK(LinearizeNoIters99TxWorstCaseLIMO, benchmark::PriorityLevel::HIGH);
BENCHMARK(PostLinearize16TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(PostLinearize32TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(PostLinearize48TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(PostLinearize64TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(PostLinearize75TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(PostLinearize99TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(MergeLinearizations16TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(MergeLinearizations32TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(MergeLinearizations48TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(MergeLinearizations64TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(MergeLinearizations75TxWorstCase, benchmark::PriorityLevel::HIGH);
BENCHMARK(MergeLinearizations99TxWorstCase, benchmark::PriorityLevel::HIGH);