diff --git a/cpp/switchchain_canonical_mixingtime.cpp b/cpp/switchchain_canonical_mixingtime.cpp new file mode 100644 index 0000000000000000000000000000000000000000..cfd5fe08e37e6db0bba97084220234f33facc37b --- /dev/null +++ b/cpp/switchchain_canonical_mixingtime.cpp @@ -0,0 +1,144 @@ +#include "exports.hpp" +#include "graph.hpp" +#include "graph_powerlaw.hpp" +#include "graph_spectrum.hpp" +#include "switchchain.hpp" +#include +#include +#include +#include +#include +#include + +int main(int argc, char* argv[]) { + // Simulation parameters + const int numVerticesMin = 200; + const int numVerticesMax = 1000; + const int numVerticesStep = 200; + + float tauValues[] = {2.1f, 2.3f, 2.5f, 2.7f, 2.9f}; + + auto getMixingTime = [](int n, float tau) { + return int(50.0f * (50.0f - 5.0f * (tau - 2.0f)) * n); + }; + auto getMeasurements = [](int n, float tau) { + (void)n; + (void)tau; + return 10000; + }; + auto getMeasureSkip = [](int n, float tau) { + (void)tau; + return 30 * n; // Take a sample every ... steps + }; + + // Output file + std::ofstream outfile; + if (argc >= 2) + outfile.open(argv[1]); + else + outfile.open("graphdata_canonical_mixingtime.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 << "Canonical degree sequence.\n"; + outfile << "max time: 20 n\n"; + outfile << "samples per time: 1000\n"; + outfile << "time skip: n\n"; + outfile << "For uniform samples:\n"; + outfile << "mixingTime: 50 * (50 - 5 (tau - 2)) n\n"; + outfile << "measurements: 10000\n"; + outfile << "measureSkip: 30 n\n"; + outfile << "data:\n"; + outfile << "1: {n,tau}\n"; + outfile << "2: { {timestamp 1, {samples}}, {timestamp 2, {samples}} }\n"; + outfile << "3: {uniform samples}}\n"; + outfile << "*)" << std::endl; + + // Mathematica does not accept normal scientific notation + outfile << std::fixed; + outfile << '{' << '\n'; + bool outputComma = false; + + SwitchChain chain; + Graph g; + for (int numVertices = numVerticesMin; numVertices <= numVerticesMax; + numVertices += numVerticesStep) { + for (float tau : tauValues) { + DegreeSequence ds; + generateCanonicalPowerlawGraph(numVertices, tau, g, ds); + + std::cout << "Running (n,tau) = (" << numVertices << ',' << tau + << "). " << std::flush; + if (outputComma) + outfile << ',' << '\n'; + outputComma = true; + outfile << '{' << '{' << numVertices << ',' << tau << '}'; + +#if 0 + std::vector samples; + outfile << ',' << '{'; + for (int maxTime = numVertices; maxTime <= 20 * numVertices; + maxTime += numVertices) { + samples.clear(); + for (int sample = 0; sample < 1000; ++sample) { + chain.initialize(g, true); + for (int i = 0; i < maxTime; ++i) + chain.doMove(true); + samples.push_back(chain.g.getTrackedTriangles()); + } + if (maxTime != numVertices) + outfile << ','; + outfile << '{' << maxTime << ',' << samples << '}'; + std::cout << "t=" << maxTime << ' ' << std::flush; + } + outfile << '}'; +#else + std::vector>> samples; + for (int maxTime = numVertices; maxTime <= 20 * numVertices; + maxTime += numVertices) { + samples.push_back(make_pair(maxTime, std::vector())); + } + + for (int sample = 0; sample < 5000; ++sample) { + chain.initialize(g, true); + int curTime = 0; + for (auto &piv : samples) { + for (; curTime < piv.first; ++curTime) + chain.doMove(true); + piv.second.push_back(chain.g.getTrackedTriangles()); + } + } + outfile << ',' << samples; +#endif + + std::cout << "\nTaking uniform samples." << std::flush; + // Uniform samples + chain.initialize(g); + int mixingTime = getMixingTime(numVertices, tau); + for (int i = 0; i < mixingTime; ++i) { + chain.doMove(); + } + chain.g.getTrackedTriangles() = chain.g.countTriangles(); + int measurements = getMeasurements(numVertices, tau); + int measureSkip = getMeasureSkip(numVertices, tau); + std::vector usamples; + for (int i = 0; i < measurements; ++i) { + for (int j = 0; j < measureSkip; ++j) + chain.doMove(true); + usamples.push_back(chain.g.getTrackedTriangles()); + } + outfile << ',' << usamples; + outfile << '}' << std::flush; + std::cout << std::endl; + } + } + outfile << '\n' << '}'; + return 0; +}