File size: 10,520 Bytes
d844fc8 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 | #include <algorithm>
#include <chrono>
#include <cmath>
#include <cstdint>
#include <fstream>
#include <iostream>
#include <limits>
#include <sstream>
#include <stdexcept>
#include <string>
#include <unordered_set>
#include <utility>
#include <vector>
#include "velographx/incremental/triangles.hpp"
#include "velographx/storage/dynamic_graph.hpp"
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;
}
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