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| namespace { | |
| using Edge = std::pair<velographx::VertexId, velographx::VertexId>; | |
| using Adj = std::vector<std::vector<velographx::VertexId>>; | |
| using Clock = std::chrono::steady_clock; | |
| std::vector<Edge> load_edges(const std::string& path, std::size_t& vertex_count) { | |
| std::ifstream in(path); | |
| if (!in) throw std::runtime_error("failed to open edge list: " + path); | |
| std::vector<Edge> edges; | |
| velographx::VertexId max_vertex = 0; | |
| bool saw_edge = false; | |
| std::string line; | |
| while (std::getline(in, line)) { | |
| const auto first = line.find_first_not_of(" \t\r\n"); | |
| if (first == std::string::npos || line[first] == '#') continue; | |
| std::istringstream row(line); | |
| velographx::VertexId u = 0, v = 0; | |
| if (!(row >> u >> v)) throw std::runtime_error("malformed edge-list row"); | |
| if (u == v) continue; | |
| if (u > v) std::swap(u, v); | |
| edges.emplace_back(u, v); | |
| max_vertex = std::max(max_vertex, std::max(u, v)); | |
| saw_edge = true; | |
| } | |
| std::sort(edges.begin(), edges.end()); | |
| edges.erase(std::unique(edges.begin(), edges.end()), edges.end()); | |
| vertex_count = saw_edge ? static_cast<std::size_t>(max_vertex) + 1 : 0; | |
| return edges; | |
| } | |
| std::uint64_t edge_key(velographx::VertexId u, velographx::VertexId v) { | |
| if (u > v) std::swap(u, v); | |
| return (static_cast<std::uint64_t>(u) << 32U) | static_cast<std::uint64_t>(v); | |
| } | |
| velographx::DynamicGraph make_vx_graph(std::size_t n, const std::vector<Edge>& edges) { | |
| velographx::DynamicGraph graph(n, false); | |
| velographx::UpdateBatch seed; | |
| seed.updates.reserve(edges.size()); | |
| for (const auto& [u, v] : edges) seed.add(u, v); | |
| graph.apply(seed); | |
| graph.compact(); | |
| return graph; | |
| } | |
| velographx::UpdateBatch make_updates(const velographx::DynamicGraph& graph, | |
| std::size_t requested, | |
| std::uint64_t seed) { | |
| velographx::UpdateBatch batch; | |
| batch.updates.reserve(requested); | |
| std::unordered_set<std::uint64_t> selected; | |
| selected.reserve(requested * 2 + 1); | |
| const auto n = static_cast<std::uint64_t>(graph.vertex_count()); | |
| std::uint64_t state = seed | 1ULL; | |
| const std::size_t max_attempts = std::max<std::size_t>(requested * 200, 10000); | |
| std::size_t attempts = 0; | |
| while (batch.updates.size() < requested && attempts++ < max_attempts) { | |
| state = state * 6364136223846793005ULL + 1442695040888963407ULL; | |
| const auto u = static_cast<velographx::VertexId>((state >> 17) % n); | |
| state = state * 6364136223846793005ULL + 1442695040888963407ULL; | |
| const auto v = static_cast<velographx::VertexId>((state >> 17) % n); | |
| if (u == v || graph.has_edge(u, v)) continue; | |
| const auto key = edge_key(u, v); | |
| if (selected.insert(key).second) batch.add(u, v); | |
| } | |
| if (batch.updates.size() != requested) { | |
| throw std::runtime_error("could not generate requested missing-edge batch"); | |
| } | |
| return batch; | |
| } | |
| Adj build_adjacency(std::size_t n, const std::vector<Edge>& edges) { | |
| Adj adj(n); | |
| for (const auto& [u, v] : edges) { | |
| adj[u].push_back(v); | |
| adj[v].push_back(u); | |
| } | |
| for (auto& list : adj) { | |
| std::sort(list.begin(), list.end()); | |
| list.erase(std::unique(list.begin(), list.end()), list.end()); | |
| } | |
| return adj; | |
| } | |
| Adj build_update_adjacency(std::size_t n, const velographx::UpdateBatch& batch) { | |
| Adj delta(n); | |
| for (const auto& op : batch.updates) { | |
| if (!op.add) throw std::runtime_error("HiPC insertion comparator accepts insertions only"); | |
| delta[op.src].push_back(op.dst); | |
| delta[op.dst].push_back(op.src); | |
| } | |
| for (auto& list : delta) std::sort(list.begin(), list.end()); | |
| return delta; | |
| } | |
| void insert_sorted(std::vector<velographx::VertexId>& list, velographx::VertexId value) { | |
| auto it = std::lower_bound(list.begin(), list.end(), value); | |
| if (it == list.end() || *it != value) list.insert(it, value); | |
| } | |
| void apply_batch_to_adjacency(Adj& post, const velographx::UpdateBatch& batch) { | |
| for (const auto& op : batch.updates) { | |
| insert_sorted(post[op.src], op.dst); | |
| insert_sorted(post[op.dst], op.src); | |
| } | |
| } | |
| std::uint64_t intersection_count(const std::vector<velographx::VertexId>& a, | |
| const std::vector<velographx::VertexId>& b) { | |
| std::size_t i = 0, j = 0; | |
| std::uint64_t count = 0; | |
| while (i < a.size() && j < b.size()) { | |
| if (a[i] == b[j]) { | |
| ++count; ++i; ++j; | |
| } else if (a[i] < b[j]) { | |
| ++i; | |
| } else { | |
| ++j; | |
| } | |
| } | |
| return count; | |
| } | |
| // CPU reimplementation of the HiPC 2017 insertion inclusion-exclusion formulation. | |
| // The paper's Algorithm 2 computes three phases over the update edges: | |
| // S1: post/post intersections | |
| // S2: post/update intersections | |
| // S3: update/update intersections | |
| // and returns 1/2 * (S1 - S2 + S3/3) in its directed-edge accounting. | |
| // Here each undirected update edge is stored once, so S1 is half the paper's | |
| // directed representation while S2/S3 explicitly sum both orientations. The | |
| // equivalent undirected formula is: delta = S1 - S2/2 + S3/6. | |
| std::uint64_t hipc2017_insert_delta(const Adj& post, | |
| const Adj& delta, | |
| const velographx::UpdateBatch& batch, | |
| std::uint64_t& s1, | |
| std::uint64_t& s2, | |
| std::uint64_t& s3) { | |
| s1 = s2 = s3 = 0; | |
| for (const auto& op : batch.updates) { | |
| const auto u = op.src; | |
| const auto v = op.dst; | |
| s1 += intersection_count(post[u], post[v]); | |
| s2 += intersection_count(post[u], delta[v]); | |
| s2 += intersection_count(post[v], delta[u]); | |
| s3 += intersection_count(delta[u], delta[v]); | |
| s3 += intersection_count(delta[v], delta[u]); | |
| } | |
| if ((s2 % 2U) != 0U || (s3 % 6U) != 0U) { | |
| throw std::runtime_error("HiPC inclusion-exclusion accounting invariant failed"); | |
| } | |
| return s1 - s2 / 2U + s3 / 6U; | |
| } | |
| long long ns(Clock::time_point begin, Clock::time_point end) { | |
| return std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin).count(); | |
| } | |
| } // namespace | |
| int main(int argc, char** argv) { | |
| if (argc < 2 || argc > 4) { | |
| std::cerr << "usage: hipc2017_cpu_reimplementation <edge-list> [repeats] [fractions-csv]\n"; | |
| return 2; | |
| } | |
| const std::string dataset = argv[1]; | |
| const int repeats = argc >= 3 ? std::stoi(argv[2]) : 5; | |
| if (repeats <= 0) return 2; | |
| std::vector<double> fractions{0.01, 0.05, 0.10}; | |
| if (argc == 4) { | |
| fractions.clear(); | |
| std::istringstream input(argv[3]); | |
| std::string token; | |
| while (std::getline(input, token, ',')) { | |
| const double f = std::stod(token); | |
| if (!(f > 0.0) || !std::isfinite(f)) return 2; | |
| fractions.push_back(f); | |
| } | |
| } | |
| std::size_t vertex_count = 0; | |
| const auto edges = load_edges(dataset, vertex_count); | |
| if (edges.empty()) return 2; | |
| const Adj base_adj = build_adjacency(vertex_count, edges); | |
| std::cout << "dataset,vertices,base_edges,update_fraction,requested_edges,repeat," | |
| "velographx_update_ns,velographx_full_recompute_ns," | |
| "hipc_graph_update_ns,hipc_analytic_ns,hipc_answer_ready_ns," | |
| "velographx_updates_per_s,hipc_answer_ready_updates_per_s," | |
| "initial_triangles,velographx_triangles,hipc_triangles,recomputed_triangles," | |
| "hipc_s1,hipc_s2,hipc_s3,correct\n"; | |
| for (double fraction : fractions) { | |
| const std::size_t requested = std::max<std::size_t>( | |
| 1, static_cast<std::size_t>(std::ceil(static_cast<double>(edges.size()) * fraction))); | |
| for (int repeat = 0; repeat < repeats; ++repeat) { | |
| auto graph = make_vx_graph(vertex_count, edges); | |
| velographx::IncrementalTriangleCount triangles(graph); | |
| const auto initial_value = triangles.value(); | |
| const auto update = make_updates( | |
| graph, requested, | |
| 0x9e3779b97f4a7c15ULL ^ | |
| (static_cast<std::uint64_t>(repeat + 1) * 0xbf58476d1ce4e5b9ULL) ^ | |
| static_cast<std::uint64_t>(requested)); | |
| const auto vx_begin = Clock::now(); | |
| triangles.apply(update); | |
| const auto vx_end = Clock::now(); | |
| const auto vx_value = triangles.value(); | |
| const auto full_begin = Clock::now(); | |
| triangles.recompute(); | |
| const auto full_end = Clock::now(); | |
| const auto full_value = triangles.value(); | |
| Adj post = base_adj; | |
| const Adj delta = build_update_adjacency(vertex_count, update); | |
| const auto hipc_update_begin = Clock::now(); | |
| apply_batch_to_adjacency(post, update); | |
| const auto hipc_update_end = Clock::now(); | |
| std::uint64_t s1 = 0, s2 = 0, s3 = 0; | |
| const auto hipc_analytic_begin = Clock::now(); | |
| const auto added = hipc2017_insert_delta(post, delta, update, s1, s2, s3); | |
| const auto hipc_analytic_end = Clock::now(); | |
| const auto hipc_value = initial_value + added; | |
| const auto vx_ns = ns(vx_begin, vx_end); | |
| const auto full_ns = ns(full_begin, full_end); | |
| const auto hipc_update_ns = ns(hipc_update_begin, hipc_update_end); | |
| const auto hipc_analytic_ns = ns(hipc_analytic_begin, hipc_analytic_end); | |
| const auto hipc_ready_ns = hipc_update_ns + hipc_analytic_ns; | |
| const bool correct = vx_value == full_value && hipc_value == full_value; | |
| if (!correct) { | |
| std::cerr << "exact-count disagreement: VeloGraphX=" << vx_value | |
| << " HiPC-derived=" << hipc_value << " full=" << full_value << '\n'; | |
| return 1; | |
| } | |
| const double vx_rate = vx_ns > 0 ? static_cast<double>(requested) * 1e9 / vx_ns : 0.0; | |
| const double hipc_rate = hipc_ready_ns > 0 | |
| ? static_cast<double>(requested) * 1e9 / hipc_ready_ns : 0.0; | |
| std::cout << dataset << ',' << vertex_count << ',' << edges.size() << ',' << fraction << ',' | |
| << requested << ',' << repeat << ',' << vx_ns << ',' << full_ns << ',' | |
| << hipc_update_ns << ',' << hipc_analytic_ns << ',' << hipc_ready_ns << ',' | |
| << vx_rate << ',' << hipc_rate << ',' << initial_value << ',' << vx_value << ',' | |
| << hipc_value << ',' << full_value << ',' << s1 << ',' << s2 << ',' << s3 << ',' | |
| << (correct ? 1 : 0) << '\n'; | |
| } | |
| } | |
| return 0; | |
| } | |