From 9905828198ecb3b55e5daf22cd1f0e4cf0b5698a 2017-05-15 16:54:05 From: Tom Bannink Date: 2017-05-15 16:54:05 Subject: [PATCH] Split cpp files and add more triangle exponent data --- diff --git a/cpp/Makefile b/cpp/Makefile index a6877b0b82f1e83b68e57b14c5c28c0c8203a641..d49fb6b44ca29f1ad72ac1483b4bf9f98d7c3431 100644 --- a/cpp/Makefile +++ b/cpp/Makefile @@ -3,8 +3,19 @@ INCLUDES += -I. CXXFLAGS += -std=c++14 -O3 -Wall -Wextra -Wfatal-errors -Wno-deprecated-declarations $(INCLUDES) + +all: switchchain switchchain_exponent switchchain_initialtris + + switchchain: + +switchchain_exponent: + + +switchchain_initialtris: + + # target : dep1 dep2 dep3 # $@ = target # $< = dep1 diff --git a/cpp/switchchain.cpp b/cpp/switchchain.cpp index 9fccb10b01bc2834dd2111e27d01d2d80a505953..88c661e51c188682775e3ff0659f274d5cea1b69 100644 --- a/cpp/switchchain.cpp +++ b/cpp/switchchain.cpp @@ -181,7 +181,7 @@ int main() { // 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}; + float tauValues[] = {2.1f, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f}; Graph g; Graph g1; diff --git a/cpp/switchchain_exponent.cpp b/cpp/switchchain_exponent.cpp index 3691b4160f717fec9bbb4e5eb43df71cafdddd5a..6fb4008b77b8cb97317f0865816607dd477221df 100644 --- a/cpp/switchchain_exponent.cpp +++ b/cpp/switchchain_exponent.cpp @@ -125,7 +125,7 @@ int main() { std::cout << "Running n = " << numVertices << ", tau = " << tau << ". \t" << std::flush; - int mixingTime = (32.0f - 26.0f*(tau - 2.0f)) * numVertices; //40000; + int mixingTime = 8*(32.0f - 26.0f*(tau - 2.0f)) * numVertices; //40000; constexpr int measurements = 50; constexpr int measureSkip = 200; // Take a sample every ... steps diff --git a/cpp/switchchain_initialtris.cpp b/cpp/switchchain_initialtris.cpp new file mode 100644 index 0000000000000000000000000000000000000000..57764da1b250a574d63880f55d95294ce3cb3647 --- /dev/null +++ b/cpp/switchchain_initialtris.cpp @@ -0,0 +1,301 @@ +#include "exports.hpp" +#include "graph.hpp" +#include "powerlaw.hpp" +#include +#include +#include +#include +#include +#include + +// Its assumed that u,v are distinct. +// Check if all four vertices are distinct +bool edgeConflicts(const Edge& e1, const Edge& e2) { + return (e1.u == e2.u || e1.u == e2.v || e1.v == e2.u || e1.v == e2.v); +} + +class SwitchChain { + public: + SwitchChain() + : mt(std::random_device{}()), permutationDistribution(0.5) + // permutationDistribution(0, 2) + { + // random_device uses hardware entropy if available + // std::random_device rd; + // mt.seed(rd()); + } + ~SwitchChain() {} + + bool initialize(const Graph& gstart) { + if (gstart.edgeCount() == 0) + return false; + g = gstart; + edgeDistribution.param( + std::uniform_int_distribution<>::param_type(0, g.edgeCount() - 1)); + return true; + } + + bool doMove() { + int e1index, e2index; + int timeout = 0; + // Keep regenerating while conflicting edges + do { + e1index = edgeDistribution(mt); + e2index = edgeDistribution(mt); + if (++timeout % 100 == 0) { + std::cerr << "Warning: sampled " << timeout + << " random edges but they keep conflicting.\n"; + } + } while (edgeConflicts(g.getEdge(e1index), g.getEdge(e2index))); + + // Consider one of the three possible permutations + // 1) e1.u - e1.v and e2.u - e2.v (original) + // 2) e1.u - e2.u and e1.v - e2.v + // 3) e1.u - e2.v and e1.v - e2.u + bool switchType = permutationDistribution(mt); + return g.exchangeEdges(e1index, e2index, switchType); + } + + Graph g; + std::mt19937 mt; + std::uniform_int_distribution<> edgeDistribution; + //std::uniform_int_distribution<> permutationDistribution; + std::bernoulli_distribution permutationDistribution; +}; + +// +// Assumes degree sequence does NOT contain any zeroes! +// +// method2 = true -> take highest degree and finish its pairing completely +// method2 = false -> take new highest degree after every pairing +bool greedyConfigurationModel(DegreeSequence& ds, Graph& g, auto& rng, bool method2) { + // Similar to Havel-Hakimi but instead of pairing up with the highest ones + // that remain, simply pair up with random ones + unsigned int n = ds.size(); + + // degree, vertex index + std::vector> degrees(n); + for (unsigned int i = 0; i < n; ++i) { + degrees[i].first = ds[i]; + degrees[i].second = i; + } + + std::vector available; + available.reserve(n); + + // Clear the graph + g.reset(n); + + while (!degrees.empty()) { + std::shuffle(degrees.begin(), degrees.end(), rng); + // Get the highest degree: + // If there are multiple highest ones, we pick a random one, + // ensured by the shuffle. + // The shuffle is needed anyway for the remaining part + unsigned int dmax = 0; + auto uIter = degrees.begin(); + for (auto iter = degrees.begin(); iter != degrees.end(); ++iter) { + if (iter->first >= dmax) { + dmax = iter->first; + uIter = iter; + } + } + + if (dmax > degrees.size() - 1) + return false; + + if (dmax == 0) { + std::cerr << "ERROR 1 in GCM.\n"; + } + + unsigned int u = uIter->second; + + if (method2) { + // Take the highest degree out of the vector + degrees.erase(uIter); + + // Now assign randomly to the remaining vertices + // Since its shuffled, we can pick the first 'dmax' ones + auto vIter = degrees.begin(); + while (dmax--) { + if (vIter->first == 0) + std::cerr << "ERROR in GCM2.\n"; + if (!g.addEdge({u, vIter->second})) + std::cerr << "ERROR. Could not add edge in GCM2.\n"; + vIter->first--; + if (vIter->first == 0) + vIter = degrees.erase(vIter); + else + vIter++; + } + } else { + // Pair with a random vertex that is not u itself and to which + // u has not paired yet! + available.clear(); + for (auto iter = degrees.begin(); iter != degrees.end(); ++iter) { + if (iter->second != u && !g.hasEdge({u, iter->second})) + available.push_back(iter); + } + if (available.empty()) + return false; + std::uniform_int_distribution<> distr(0, available.size() - 1); + auto vIter = available[distr(rng)]; + // pair u to v + if (vIter->first == 0) + std::cerr << "ERROR 2 in GCM1.\n"; + if (!g.addEdge({u, vIter->second})) + std::cerr << "ERROR. Could not add edge in GCM1.\n"; + // Purge anything with degree zero + // Be careful with invalidating the other iterator! + // Degree of u is always greater or equal to the degree of v + if (dmax == 1) { + // Remove both + // Erasure invalidates all iterators AFTER the erased one + if (vIter > uIter) { + degrees.erase(vIter); + degrees.erase(uIter); + } else { + degrees.erase(uIter); + degrees.erase(vIter); + } + } else { + // Remove only v if it reaches zero + uIter->first--; + vIter->first--; + if (vIter->first == 0) + degrees.erase(vIter); + } + //degrees.erase(std::remove_if(degrees.begin(), degrees.end(), + // [](auto x) { return x.first == 0; })); + } + } + return true; +} + +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, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f}; + + Graph g; + + std::ofstream outfile("graphdata_initialtris.m"); + outfile << '{'; + bool outputComma = false; + + for (int numVertices = 200; numVertices <= 2000; numVertices += 400) { + 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 < 200; ++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"; + } + } + + // + // Test the GCM1 and GCM2 success rate + // + long long gcmTris1 = 0; + long long gcmTris2 = 0; + 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; + gcmTris1 += gtemp.countTriangles(); + } + // Finish all pairings of highest degree first + if (greedyConfigurationModel(ds, gtemp, rng, true)) { + ++successrate2; + gcmTris2 += gtemp.countTriangles(); + } + } + + 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 - 20.0f * (tau - 2.0f)) * numVertices; + constexpr int measurements = 20; + constexpr int measureSkip = 200; + + 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::endl; + + if (outputComma) + outfile << ',' << '\n'; + outputComma = true; + + float avgTriangles = + float(trianglesTotal) / float(measurements); + outfile << '{'; + outfile << '{' << numVertices << ',' << tau << '}'; + outfile << ',' << avgTriangles; + outfile << ',' << '{' << gcmTris1 << ',' << successrate1 << '}'; + outfile << ',' << '{' << gcmTris2 << ',' << successrate2 << '}'; + outfile << '}' << std::flush; + + std::cout << std::endl; + } + } + } + outfile << '}'; + return 0; +} diff --git a/data/README b/data/README index 66604b254d4aac72d45a5c2dea5dcf8857cb0093..83c7eb9611c9f915f5be34a6c7f415e146922263 100644 --- a/data/README +++ b/data/README @@ -1,16 +1,17 @@ Contents of each file -graphdata_exponent.m +graphdata_exponent_mixN.m output: {{n,tau},avgTriangles} n from 200 to 2000 with step 200 - degreeSamples = 500 + 1000 + degreeSamples = 500 + 1000 for mix1 and 1000 for mix4,mix8 initial ErdosGallai - mixingTime = (32.0f - 26.0f*(tau - 2.0f)) * n + mixingTime = N* (32.0f - 26.0f*(tau - 2.0f)) * n measurements = 50 measureSkip = 200 graphdata_gcm_partial.m ?? + output: {{n,tau},triangleseq,ds, {...??...} } graphdata_partial.m output: {{n,tau},triangleseq,ds,greedyTriangles1,greedyTriangles2,greedySeq1,greedySeq2} diff --git a/data/graphdata_exponent.m b/data/graphdata_exponent_mix1.m similarity index 100% rename from data/graphdata_exponent.m rename to data/graphdata_exponent_mix1.m diff --git a/data/graphdata_exponent_mix4.m b/data/graphdata_exponent_mix4.m new file mode 100644 index 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