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Location: AENC/switchchain/cpp/switchchain_mixingtime.cpp
1b3f095f886f
4.7 KiB
text/x-c++src
Add computation of delta-triangles to switchchain
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 | #include "exports.hpp"
#include "graph.hpp"
#include "graph_powerlaw.hpp"
#include "switchchain.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 = 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;
}
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