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Location: AENC/switchchain/cpp/switchchain_dsp.cpp - annotation
be2f7fe6b220
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text/x-c++src
Move switchchain class to separate header file
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#include "graph.hpp"
#include "powerlaw.hpp"
#include "switchchain.hpp"
#include <algorithm>
#include <fstream>
#include <iostream>
#include <numeric>
#include <random>
#include <vector>
double getProperty(const DegreeSequence& ds) {
std::vector<std::vector<double>> vals(ds.size());
for (auto& v : vals) {
v.resize(ds.size(), 0);
}
auto D = 0u;
for (auto d : ds)
D += d;
double factor = 1.0 / double(D);
for (auto i = 0u; i < ds.size(); ++i) {
for (auto j = i + 1; j < ds.size(); ++j) {
vals[i][j] = 1.0 - std::exp(-(ds[i] * ds[j] * factor));
}
}
double result = 0.0;
for (auto i = 0u; i < ds.size(); ++i) {
for (auto j = i + 1; j < ds.size(); ++j) {
for (auto k = j + 1; k < ds.size(); ++k) {
result += vals[i][j] * vals[j][k] * vals[i][k];
}
}
}
return result;
}
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, 2.5f, 2.9f};
Graph g;
std::ofstream outfile("graphdata_dsp.m");
outfile << '{';
bool outputComma = false;
for (int numVertices = 1000; numVertices <= 1000; 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 < 2000; ++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*(32.0f - 10.0f*(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::flush;
//std::cout << std::endl;
if (outputComma)
outfile << ',' << '\n';
outputComma = true;
float avgTriangles =
float(trianglesTotal) / float(measurements);
outfile << '{' << '{' << numVertices << ',' << tau << '}';
outfile << ',' << avgTriangles;
outfile << ',' << getProperty(ds) << '}' << std::flush;
std::cout << std::endl;
}
}
}
outfile << '}';
return 0;
}
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