#include "exports.hpp" #include "graph.hpp" #include "graph_powerlaw.hpp" #include "switchchain.hpp" #include #include #include #include #include #include #include int main(int argc, char* argv[]) { // Simulation parameters const int numVerticesMin = 1000; const int numVerticesMax = 4000; const int numVerticesStep = 500; float tauValues[] = {2.1f, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f}; const int totalDegreeSamples = 200; auto getMixingTime = [](int n, float tau) { (void)n; (void)tau; return 0; //return int(50.0f * (50.0f - 30.0f * (tau - 2.0f)) * n); }; constexpr int measurements = 100000; constexpr int measureSkip = 1; // Take a sample every ... steps // Output file std::ofstream outfile; if (argc >= 2) outfile.open(argv[1]); else outfile.open("graphdata_etmt.m"); if (!outfile.is_open()) { std::cout << "ERROR: Could not open output file.\n"; return 1; } // Output Mathematica-style comment to indicate file contents outfile << "(*\n"; outfile << "n from " << numVerticesMin << " to " << numVerticesMax << " step " << numVerticesStep << std::endl; outfile << "tauValues: " << tauValues << std::endl; outfile << "degreeSamples: " << totalDegreeSamples << std::endl; outfile << "mixingTime: 50 * (50 - 30 (tau - 2)) n\n"; outfile << "data:\n"; outfile << "1: {n,tau}\n"; outfile << "2: avgTriangles\n"; outfile << "3: edges\n"; outfile << "4: etmt\n"; outfile << "*)" << std::endl; // Mathematica does not accept normal scientific notation outfile << std::fixed; outfile << '{'; bool outputComma = false; // Generate a random degree sequence std::mt19937 rng(std::random_device{}()); Graph g; Graph g1; Graph g2; for (int numVertices = numVerticesMin; numVertices <= numVerticesMax; numVertices += numVerticesStep) { for (float tau : tauValues) { // For a single n,tau take samples over several instances of // the degree distribution. for (int degreeSample = 0; degreeSample < totalDegreeSamples; ++degreeSample) { DegreeSequence ds; generatePowerlawGraph(numVertices, tau, g, ds, rng); // Multiple runs from the same degree sequence for (int i = 0; i < 5; ++i) { SwitchChain chain; if (!chain.initialize(g, true)) { std::cerr << "Could not initialize Markov chain.\n"; return 1; } std::cout << "Running (n,tau) = (" << numVertices << ',' << tau << "). " << std::flush; int movesTotal = 0; int movesSuccess = 0; int triangles[measurements]; // Mix int mixingTime = getMixingTime(numVertices, tau); for (int i = 0; i < mixingTime; ++i) { chain.doMove(); } // Measure for (int i = 0; i < measurements; ++i) { for (int j = 0; j < measureSkip; ++j) { ++movesTotal; if (chain.doMove(true)) { ++movesSuccess; } } triangles[i] = chain.g.getTrackedTriangles(); } std::cout << "Measuring done. " << std::flush; // Take the average over the last 20% auto trianglesTotal = 0uL; auto count = 0u; for (int i = measurements - (measurements / 5); i < measurements; ++i) { trianglesTotal += triangles[i]; count++; } double trianglesAvg = double(trianglesTotal)/double(count); // Find the ETMT int ETMT = 0; for (int i = 0; i < measurements; ++i) { if (triangles[i] < trianglesAvg) { ETMT = i; break; } } if (outputComma) outfile << ',' << '\n'; outputComma = true; outfile << '{' << '{' << numVertices << ',' << tau << '}'; outfile << ',' << trianglesAvg; outfile << ',' << g.edgeCount(); outfile << ',' << ETMT; outfile << '}' << std::flush; std::cout << "Output done. " << std::endl; } } } } outfile << '}'; return 0; }