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Location: AENC/switchchain/cpp/switchchain.cpp - annotation
3e647eb7b5b3
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text/x-c++src
Add improved construction rate dataset and plot
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#include "exports.hpp"
#include "graph.hpp"
#include "graph_ccm.hpp"
#include "graph_powerlaw.hpp"
#include "graph_spectrum.hpp"
#include <algorithm>
#include <array>
#include <fstream>
#include <iostream>
#include <numeric>
#include <random>
#include <vector>
void getTriangleDegrees(const Graph& g) {
std::vector<std::array<std::size_t,3>> trids;
const auto& adj = g.getAdj();
int triangles = 0;
for (auto& v : adj) {
for (unsigned int i = 0; i < v.size(); ++i) {
for (unsigned int j = i + 1; j < v.size(); ++j) {
if (g.hasEdge({v[i], v[j]})) {
++triangles;
std::array<std::size_t, 3> ds = {{v.size(), adj[v[i]].size(),
adj[v[j]].size()}};
std::sort(ds.begin(), ds.end());
trids.push_back(ds);
}
}
}
}
assert(triangles % 3 == 0);
return;
}
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;
Graph g1;
Graph g2;
std::ofstream outfile;
if (argc >= 2)
outfile.open(argv[1]);
else
outfile.open("graphdata.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) {
// For a single n,tau take samples over several instances of
// the degree distribution.
for (int degreeSample = 0; degreeSample < 5; ++degreeSample) {
DegreeSequence ds;
generatePowerlawGraph(numVertices, tau, g, ds, rng);
#if 0
//
// Test the GCM1 and GCM2 success rate
//
std::vector<int> greedyTriangles1;
std::vector<int> greedyTriangles2;
int successrate1 = 0;
int successrate2 = 0;
for (int i = 0; i < 100; ++i) {
Graph gtemp;
// Take new highest degree every time
if (greedyConfigurationModel(ds, gtemp, rng, false)) {
++successrate1;
greedyTriangles1.push_back(gtemp.countTriangles());
g1 = gtemp;
}
// Finish all pairings of highest degree first
if (greedyConfigurationModel(ds, gtemp, rng, true)) {
++successrate2;
greedyTriangles2.push_back(gtemp.countTriangles());
g2 = gtemp;
}
}
#endif
for (int i = 1; i < 5; ++i) {
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;
}
}
std::vector<int> successRates;
successRates.reserve(measurements * measureSkip);
int successrate = 0;
for (int i = 0; i < measurements; ++i) {
for (int j = 0; j < measureSkip; ++j) {
++movesTotal;
if (chain.doMove()) {
++movesSuccess;
++successrate;
}
}
triangles[i] = chain.g.countTriangles();
if ((i+1) % 100 == 0) {
successRates.push_back(successrate);
successrate = 0;
}
}
std::cout << '('
<< 100.0f * float(movesSuccess) / float(movesTotal)
<< "% successrate). " << std::flush;
// std::cout << std::endl;
if (outputComma)
outfile << ',' << '\n';
outputComma = true;
std::sort(ds.begin(), ds.end());
outfile << '{' << '{' << numVertices << ',' << tau << '}';
outfile << ',' << triangles;
outfile << ',' << ds;
#if 0
outfile << ',' << greedyTriangles1;
outfile << ',' << greedyTriangles2;
SwitchChain chain1, chain2;
if (chain1.initialize(g1)) {
movesDone = 0;
SwitchChain& c = chain1;
for (int i = 0; i < mixingTime; ++i) {
if (c.doMove())
++movesDone;
}
for (int i = 0; i < measurements; ++i) {
for (int j = 0; j < measureSkip; ++j)
if (c.doMove())
++movesDone;
triangles[i] = c.g.countTriangles();
}
std::cout << movesDone << '/' << mixingTime + measurements * measureSkip
<< " moves succeeded ("
<< 100.0f * float(movesDone) /
float(mixingTime + measurements * measureSkip)
<< "%).";
outfile << ',' << triangles;
}
if (chain2.initialize(g2)) {
movesDone = 0;
SwitchChain& c = chain2;
for (int i = 0; i < mixingTime; ++i) {
if (c.doMove())
++movesDone;
}
for (int i = 0; i < measurements; ++i) {
for (int j = 0; j < measureSkip; ++j)
if (c.doMove())
++movesDone;
triangles[i] = c.g.countTriangles();
}
std::cout << movesDone << '/' << mixingTime + measurements * measureSkip
<< " moves succeeded ("
<< 100.0f * float(movesDone) /
float(mixingTime + measurements * measureSkip)
<< "%).";
outfile << ',' << triangles;
}
#endif
outfile << ',' << successRates;
outfile << '}' << std::flush;
std::cout << std::endl;
}
}
}
}
outfile << '}';
return 0;
}
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