#include "exports.hpp" #include "graph.hpp" #include "graph_powerlaw.hpp" #include "switchchain.hpp" #include #include #include #include #include #include int main() { // Generate a random degree sequence std::mt19937 rng(std::random_device{}()); // Goal: // Degrees follow a power-law distribution with some parameter tau // Expect: #tri = const * n^{ something } // The goal is to find the 'something' by finding the number of triangles // for different values of n and tau float tauValues[] = {2.1f, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f}; Graph g; std::ofstream outfile("graphdata_exponent_hightau.m"); outfile << '{'; bool outputComma = false; for (int numVertices = 1000; numVertices <= 10000; numVertices += 1000) { for (float tau : tauValues) { // For a single n,tau take samples over several instances of // the degree distribution. for (int degreeSample = 0; degreeSample < 2000; ++degreeSample) { DegreeSequence ds; generatePowerlawGraph(numVertices, tau, g, ds, rng); SwitchChain chain; if (!chain.initialize(g)) { std::cerr << "Could not initialize Markov chain.\n"; return 1; } std::cout << "Running n = " << numVertices << ", tau = " << tau << ". \t" << std::flush; int mixingTime = 32*(32.0f - 15.0f*(tau - 2.0f)) * numVertices; //40000; constexpr int measurements = 50; constexpr int measureSkip = 200; // Take a sample every ... steps int movesDone = 0; long long trianglesTotal = 0; for (int i = 0; i < mixingTime; ++i) { if (chain.doMove()) ++movesDone; } for (int i = 0; i < measurements; ++i) { for (int j = 0; j < measureSkip; ++j) if (chain.doMove()) ++movesDone; trianglesTotal += chain.g.countTriangles(); } std::cout << movesDone << '/' << mixingTime + measurements * measureSkip << " moves succeeded (" << 100.0f * float(movesDone) / float(mixingTime + measurements * measureSkip) << "%)."; //std::cout << std::endl; if (outputComma) outfile << ',' << '\n'; outputComma = true; float avgTriangles = float(trianglesTotal) / float(measurements); outfile << '{' << '{' << numVertices << ',' << tau << '}'; outfile << ',' << avgTriangles << '}' << std::flush; std::cout << std::endl; } } } outfile << '}'; return 0; }