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#include "pcg-cpp/include/pcg_random.hpp"
#include "randutils/randutils.hpp"
#include "glass.hpp"
template <unsigned D> class CiamarraState : public Vector<D> {
public:
CiamarraState() : Vector<D>(Vector<D>::Zero()) {}
CiamarraState(const Vector<D>& v) : Vector<D>(v) {}
CiamarraState(unsigned a, signed b) : Vector<D>(Vector<D>::Zero()) { CiamarraState::operator()(a) = b; }
CiamarraState(Rng& r) : CiamarraState(r.uniform((unsigned)0, D - 1), r.pick({-1, 1})) {}
bool empty() const { return CiamarraState::squaredNorm() == 0; }
void remove() { CiamarraState::setZero(); }
bool operator==(const CiamarraState<D>& s) const {
return CiamarraState::dot(s) == 1;
}
CiamarraState<D> flip() const {
CiamarraState<D> s;
for (unsigned i = 0; i < D; i++) {
s(i) = -this->operator()(i);
}
return s;
}
CiamarraState<D> transform(const Transformation<D>& m) const {
return m * *this;
}
};
template <unsigned D>
class CiamarraSystem : public HardSystem<D, CiamarraState<D>> {
public:
using HardSystem<D, CiamarraState<D>>::HardSystem;
std::list<std::reference_wrapper<Vertex<D, CiamarraState<D>>>>
overlaps(Vertex<D, CiamarraState<D>>& v, const CiamarraState<D>& s, bool
excludeSelf = false) override {
std::list<std::reference_wrapper<Vertex<D, CiamarraState<D>>>> o;
if (s.empty()) {
return o;
}
if (!v.empty() && !excludeSelf) {
o.push_back(v);
}
for (const HalfEdge<D, CiamarraState<D>>& e : v.adjacentEdges) {
if (!e.neighbor.empty()) {
if (s.dot(e.Δx) == 1 || e.neighbor.state.dot(e.Δx) == -1) {
o.push_back(e.neighbor);
}
}
}
return o;
}
void setGroundState() {
CiamarraSystem::N = 0;
for (Vertex<D, CiamarraState<D>>& v : CiamarraSystem::vertices) {
unsigned a = 0;
for (unsigned d = 0; d < D; d++) {
a += (d + 1) * v.position(d);
}
a %= 2 * D + 1;
v.state.setZero() = Vector<D>::Zero();
if (0 < a && a <= D) {
v.state(a - 1) = -1;
CiamarraSystem::N++;
} else if (D < a) {
v.state(2 * D - a) = 1;
CiamarraSystem::N++;
}
}
}
/* For the Ciamarra system, position within sites must be specially acconted
* for in the scattering function. We therefore expand the lattice and add
* the state when setting positions, so as later to be able to take particle
* sublattice positions into account.
* */
void setInitialPosition() override {
CiamarraSystem::orientation = Transformation<D>(CiamarraSystem::L);
for (Vertex<D, CiamarraState<D>>& v : CiamarraSystem::vertices) {
v.initialPosition = 4 * v.position + v.state;
}
}
double selfIntermediateScattering(const std::vector<Matrix<D>>& ms) const override {
double F = 0;
std::array<Vector<D>, D> ks;
for (unsigned i = 0; i < D; i++) {
ks[i].setZero();
ks[i](i) = 1;
}
for (const Vertex<D, CiamarraState<D>>& v : CiamarraSystem::vertices) {
if (!v.empty()) {
Vector<D> Δx = ((4 * CiamarraSystem::orientation.inverse().apply(v.position)) + CiamarraSystem::orientation.inverse().apply(v.state)) - v.initialPosition;
for (const Vector<D>& k : ks) {
F += cos((M_PI / 4) * k.dot(Δx));
}
}
}
return F / (D * CiamarraSystem::N);
}
};
void print(const CiamarraSystem<2>& s) {
for (const Vertex<2, CiamarraState<2>>& v : s.vertices) {
if (v.state(0) == 1 && v.state(1) == 0) {
std::cerr << "▶";
} else if (v.state(0) == -1 && v.state(1) == 0) {
std::cerr << "◀";
} else if (v.state(0) == 0 && v.state(1) == -1) {
std::cerr << "▲";
} else if (v.state(0) == 0 && v.state(1) == 1) {
std::cerr << "▼";
} else if (v.state(0) == 0 && v.state(1) == 0) {
std::cerr << " ";
} else {
std::cerr << "X";
}
if (v.position(0) == s.L - 1) {
std::cerr << std::endl;
}
}
}
int main() {
const unsigned D = 3;
unsigned L = 15;
unsigned Nmin = 2e2;
unsigned Nmax = 2e5;
double Tmin = 0.04;
double Tmax = 0.2;
double δT = 0.02;
CiamarraSystem<D> s(L);
Rng r;
double z = exp(1 / 0.08);
std::vector<Matrix<D>> ms = generateTorusMatrices<D>();
for (double ρ : {0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.76, 0.78, 0.8, 0.81, 0.815, 0.818, 0.821, 0.825}) {
while (s.density() < ρ) {
s.sweepGrandCanonical(z, r);
}
std::cout << s.density() << " ";
s.setInitialPosition();
auto start = std::chrono::high_resolution_clock::now();
for (unsigned i = 0; i < 1e4; i++) {
/*
for (unsigned j = 0; j < s.vertices.size(); j++) {
s.tryRandomNonlocalMove(r);
}
*/
Matrix<D> m = r.pick(ms);
Vertex<D, CiamarraState<D>>& v = r.pick(s.vertices);
unsigned n = s.wolff(Transformation<D>(L, m, v.position - m * v.position), r);
if (i % 1 == 0) {
auto stop = std::chrono::high_resolution_clock::now();
auto duration = duration_cast<std::chrono::microseconds>(stop - start);
std::cout << duration.count() << " " << s.selfIntermediateScattering(ms) << " " << n << " ";
}
}
if (!s.compatible()) {
std::cerr << "Bad configuration" << std::endl;
return 1;
}
std::cout << std::endl;
}
return 0;
}
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