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#include "hadamard_pt.hpp"
#include "matrices.hpp"
#include <execution>
#include <chrono>
#include <fstream>
#include <iostream>
class MeasureEnergy : public Measurement {
public:
unsigned N;
double totalE;
double totalE2;
unsigned n;
std::vector<unsigned> ρ_dist;
MeasureEnergy(unsigned n_bins = 1e4) : ρ_dist(n_bins + 1, 0) {
n = n_bins;
N = 0;
totalE = 0;
totalE2 = 0;
}
void after_sweep(double, double E, const Orthogonal& M) override {
N++;
totalE += E;
totalE2 += pow(E, 2);
double max = sqrt(M.size());
for (unsigned i = 0; i < M.size(); i++) {
for (unsigned j = 0; j < M.size(); j++) {
ρ_dist[n * (M(i, j) + max) / (2 * max)]++;
}
}
}
double energy() const { return totalE / N; }
double specific_heat() const { return totalE2 / N - pow(totalE / N, 2); }
};
class MeasureTransitionRates : public ParallelMeasurement {
public:
std::vector<unsigned> nAccepted;
std::vector<unsigned> total_steps;
MeasureTransitionRates(unsigned n) : nAccepted(n - 1, 0), total_steps(n - 1, 0) {}
void after_step(bool accepted, unsigned i, double, double, const MCMC&, const MCMC&) override {
total_steps[i]++;
if (accepted)
nAccepted[i]++;
}
};
int main(int argc, char* argv[]) {
unsigned n_tuning = 1e2;
double β₀ = 0.1;
double β₁ = 10;
unsigned N = 16;
unsigned k = 2;
double ε = 0.01;
double ε2 = 0.01;
unsigned M = 10;
unsigned m = 1e4;
bool loadBetasFromFile = false;
std::string betaFilename;
int opt;
while ((opt = getopt(argc, argv, "k:b:c:n:t:N:M:e:m:f:F:")) != -1) {
switch (opt) {
case 'k':
k = atoi(optarg);
if (k == 0 || k > 8) {
std::cout << "The size k must be an integer from 1 to 8!" << std::endl;
exit(1);
}
break;
case 'b':
β₀ = atof(optarg);
break;
case 'c':
β₁ = atof(optarg);
break;
case 'e':
ε = atof(optarg);
break;
case 'f':
ε2 = atof(optarg);
break;
case 'n':
m = (unsigned)atof(optarg);
break;
case 't':
n_tuning = (unsigned)atof(optarg);
break;
case 'N':
N = (unsigned)atof(optarg);
break;
case 'M':
M = (unsigned)atof(optarg);
break;
case 'F':
loadBetasFromFile = true;
betaFilename = optarg;
break;
default:
exit(1);
}
}
unsigned n = 4 * k;
std::vector<Measurement*> As(N);
for (Measurement*& A : As) {
A = new MeasureEnergy();
}
MeasureTransitionRates B(N);
PT p(β₀, β₁, N, n, B, As);
for (MCMC& sim : p.Ms) {
sim.M = hadamards[k - 1];
sim.E = sim.M.energy();
}
std::vector<double> f;
std::cout << "Beginning simulation of " << n << ".\n";
if (loadBetasFromFile) {
std::cout << "Loading βs from file.\n";
std::ifstream betaFile(betaFilename);
for (unsigned i = 0; i < N; i++) {
double βtmp;
betaFile >> βtmp;
p.Ms[i].β = βtmp;
}
std::cout << "βs: ";
for (const MCMC& M : p.Ms) {
std::cout << M.β << " ";
}
std::cout << std::endl;
std::cout << "Beginning " << n_tuning << " tuning tempering updates.\n";
Rng rng;
for (unsigned i = 0; i < n_tuning; i++) {
std::for_each(std::execution::par_unseq, p.Ms.begin(), p.Ms.end(),
[M, ε](MCMC& MM) { MM.tune(M, ε); });
for (unsigned j = 0; j < p.Ms.size(); j++) {
unsigned k = rng.uniform((unsigned)0, (unsigned)(p.Ms.size() - 2));
p.step(k, k + 1, true);
}
}
} else {
std::cout << "Beginning " << n_tuning << " tuning tempering updates of " << M
<< " sweeps each.\n";
f = p.tune(n_tuning, M, ε, ε2);
std::cout << "βs: ";
for (const MCMC& M : p.Ms) {
std::cout << M.β << " ";
}
std::cout << std::endl;
}
std::cout << "Running " << m << " PT swaps of " << M << " sweeps each.\n";
p.run(m, M);
std::cout << "Finished " << n << ".\n";
auto tag = std::chrono::high_resolution_clock::now();
std::string filename = "hmm_" + std::to_string(n) + "_" + std::to_string(β₀) + "_" +
std::to_string(β₁) + "_" + std::to_string(N) + "_" +
std::to_string(tag.time_since_epoch().count()) + ".dat";
std::ofstream file(filename);
for (const MCMC& M : p.Ms) {
file << M.β << " ";
}
file << std::endl;
for (double ff : f) {
file << ff << " ";
}
file << std::endl;
for (unsigned i = 0; i < B.nAccepted.size(); i++) {
file << std::fixed << B.nAccepted[i] / (double)B.total_steps[i] << " ";
}
file << std::endl;
for (unsigned i = 0; i < As.size(); i++) {
file << std::fixed << ((MeasureEnergy*)As[i])->energy() << " ";
}
file << std::endl;
for (unsigned i = 0; i < As.size(); i++) {
file << std::fixed << ((MeasureEnergy*)As[i])->specific_heat() << " ";
}
file << std::endl;
for (unsigned i = 0; i < As.size(); i++) {
for (unsigned j = 0; j < ((MeasureEnergy*)As[i])->ρ_dist.size(); j++) {
file << std::fixed << ((MeasureEnergy*)As[i])->ρ_dist[j] << " ";
}
file << std::endl;
}
file.close();
return 0;
}
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