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Location: AENC/switchchain/cpp/switchchain_spectrum.cpp
786c1ab9a61e
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text/x-c++src
Add partial simulation datasets
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 | #include "switchchain.hpp"
#include "exports.hpp"
#include "graph.hpp"
#include "graph_ccm.hpp"
#include "graph_spectrum.hpp"
#include "graph_powerlaw.hpp"
#include <algorithm>
#include <array>
#include <fstream>
#include <iostream>
#include <numeric>
#include <random>
#include <vector>
int main(int argc, char* argv[]) {
// Simulation parameters
const int numVerticesMin = 100;
const int numVerticesMax = 500;
const int numVerticesStep = 100;
float tauValues[] = {2.1f, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f};
const int totalDegreeSamples = 5;
auto getMixingTime = [](int n, float tau) {
return int(30.0f * (50.0f - 30.0f * (tau - 2.0f)) * n);
};
constexpr int measurements = 50;
constexpr int measureSkip = 200; // Take a sample every ... steps
// Output file
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;
}
// 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: 30 * (50 - 30 (tau - 2)) n\n";
outfile << "data:\n";
outfile << "1: {n,tau}\n";
outfile << "2: triangleSeq\n";
outfile << "3: edges\n";
outfile << "4: start adj spectrum\n";
outfile << "5: start laplacian spectrum\n";
outfile << "6: end adj spectrum\n";
outfile << "7: end laplacian spectrum\n";
outfile << "*)" << std::endl;
// Mathematica does not accept things of the form 1.23e-5
// (instead it would write that as 1.23*^-5)
// so simply use normal notation up to 6 decimals
outfile << std::fixed;
outfile << '{';
bool outputComma = false;
std::mt19937 rng(std::random_device{}());
Graph g;
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);
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 = getMixingTime(numVertices,tau);;
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_start(g);
GraphSpectrum gs_end(chain.g);
if (outputComma)
outfile << ',' << '\n';
outputComma = true;
//std::sort(ds.begin(), ds.end());
outfile << '{' << '{' << numVertices << ',' << tau << '}';
outfile << ',' << triangles;
outfile << ',' << g.edgeCount();
outfile << ',' << gs_start.computeAdjacencySpectrum();
outfile << ',' << gs_start.computeLaplacianSpectrum();
outfile << ',' << gs_end.computeAdjacencySpectrum();
outfile << ',' << gs_end.computeLaplacianSpectrum();
outfile << '}' << std::flush;
std::cout << std::endl;
}
}
}
outfile << '}';
return 0;
}
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