diff --git a/cpp/switchchain_spectrum.cpp b/cpp/switchchain_spectrum.cpp new file mode 100644 index 0000000000000000000000000000000000000000..5ccf1e5f81447b1789ee6e8c8fb717cbb325db12 --- /dev/null +++ b/cpp/switchchain_spectrum.cpp @@ -0,0 +1,142 @@ +#include "switchchain.hpp" +#include "exports.hpp" +#include "graph.hpp" +#include "graph_gcm.hpp" +#include "graph_spectrum.hpp" +#include "powerlaw.hpp" +#include +#include +#include +#include +#include +#include +#include + +int main(int argc, char* argv[]) { + // 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; + + if (argc >= 2) + outfile.open(argv[1]); + else + outfile.open("graphdata_spectrum.m"); + + if (!outfile.is_open()) { + std::cout << "ERROR: Could not open output file.\n"; + return 1; + } + + outfile << '{'; + bool outputComma = false; + + for (int numVertices = 500; numVertices <= 500; numVertices += 1000) { + for (float tau : tauValues) { + + DegreeSequence ds(numVertices); + powerlaw_distribution degDist(tau, 1, numVertices); + //std::poisson_distribution<> degDist(12); + + // For a single n,tau take samples over several instances of + // the degree distribution. + // 500 samples seems to give reasonable results + for (int degreeSample = 0; degreeSample < 5; ++degreeSample) { + // Generate a graph + // might require multiple tries + for (int i = 1; ; ++i) { + std::generate(ds.begin(), ds.end(), + [°Dist, &rng] { return degDist(rng); }); + // First make the sum even + unsigned int sum = std::accumulate(ds.begin(), ds.end(), 0); + if (sum % 2) { + continue; + // Can we do this: ?? + ds.back()++; + } + + if (g.createFromDegreeSequence(ds)) + break; + + // When 10 tries have not worked, output a warning + if (i % 10 == 0) { + std::cerr << "Warning: could not create graph from " + "degree sequence. Trying again...\n"; + } + } + + 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 = (32.0f - 26.0f*(tau - 2.0f)) * numVertices; //40000; + //constexpr int measurements = 50; + //constexpr int measureSkip = + // 200; // Take a sample every ... steps + int mixingTime = 0; + constexpr int measurements = 50000; + constexpr int measureSkip = 1; + + + int movesTotal = 0; + int movesSuccess = 0; + + int triangles[measurements]; + + for (int i = 0; i < mixingTime; ++i) { + ++movesTotal; + if (chain.doMove()) { + ++movesSuccess; + } + } + + for (int i = 0; i < measurements; ++i) { + for (int j = 0; j < measureSkip; ++j) { + ++movesTotal; + if (chain.doMove()) { + ++movesSuccess; + } + } + triangles[i] = chain.g.countTriangles(); + } + + std::cout << '(' + << 100.0f * float(movesSuccess) / float(movesTotal) + << "% successrate). " << std::flush; + // std::cout << std::endl; + + GraphSpectrum gs(g); + + if (outputComma) + outfile << ',' << '\n'; + outputComma = true; + + //std::sort(ds.begin(), ds.end()); + outfile << '{' << '{' << numVertices << ',' << tau << '}'; + outfile << ',' << triangles; + outfile << ',' << g.edgeCount(); + outfile << ',' << gs.computeAdjacencySpectrum(); + outfile << ',' << gs.computeLaplacianSpectrum(); + outfile << '}' << std::flush; + + std::cout << std::endl; + } + } + } + outfile << '}'; + return 0; +}