From 70b13f405bf861dd16e0ddb963293e5546599b3d Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 25 Jun 2021 10:57:46 +0200 Subject: Partial progress towards merging BM model into global objects. --- biroli-mezard.cpp | 178 ++------------------ ciamarra.cpp | 468 +++++----------------------------------------------- compile_flags.txt | 3 + distinguishable.cpp | 6 +- glass.hpp | 209 ++++++++++++++++++++++- 5 files changed, 268 insertions(+), 596 deletions(-) create mode 100644 compile_flags.txt diff --git a/biroli-mezard.cpp b/biroli-mezard.cpp index e2fb71a..5b6213f 100644 --- a/biroli-mezard.cpp +++ b/biroli-mezard.cpp @@ -1,149 +1,30 @@ #include #include -#include -#include -#include -#include -#include #include -#include - -#include "pcg-cpp/include/pcg_random.hpp" -#include "randutils/randutils.hpp" - -using Rng = randutils::random_generator; - -template using Vector = Eigen::Matrix; -template using Matrix = Eigen::Matrix; +#include "glass.hpp" const unsigned Empty = std::numeric_limits::max(); -int iPow(int x, unsigned p) { - if (p == 0) - return 1; - if (p == 1) - return x; - - int tmp = iPow(x, p / 2); - if (p % 2 == 0) - return tmp * tmp; - else - return x * tmp * tmp; -} - -unsigned mod(signed a, unsigned b) { return ((a < 0) ? (a + (1 - a / (signed)b) * b) : a) % b; } - -template Vector mod(const Eigen::MatrixBase& v, unsigned b) { - Vector u; - for (unsigned i = 0; i < D; i++) { - u(i) = mod(v(i), b); - } - return u; -} - -template void one_sequences(std::list>& sequences, unsigned level) { - if (level > 0) { - unsigned new_level = level - 1; - for (std::array& sequence : sequences) { - std::array new_sequence = sequence; - new_sequence[new_level] = -1; - sequences.push_front(new_sequence); - } - one_sequences(sequences, new_level); - } -} - -template std::vector> generateTorusMatrices() { - std::vector> mats; - - std::array ini_sequence; - ini_sequence.fill(1); - std::list> sequences; - sequences.push_back(ini_sequence); - - one_sequences(sequences, D); - - sequences.pop_back(); // don't want the identity matrix! - - for (std::array sequence : sequences) { - Matrix m; - for (unsigned i = 0; i < D; i++) { - for (unsigned j = 0; j < D; j++) { - if (i == j) { - m(i, j) = sequence[i]; - } else { - m(i, j) = 0; - } - } - } - - mats.push_back(m); - } - - for (unsigned i = 0; i < D; i++) { - for (unsigned j = 0; j < D; j++) { - if (i != j) { - Matrix m; - for (unsigned k = 0; k < D; k++) { - for (unsigned l = 0; l < D; l++) { - if ((k == i && l == j) || (k == j && l == i)) { - if (i < j) { - m(k, l) = 1; - } else { - m(k, l) = -1; - } - } else if (k == l && (k != i && k != j)) { - m(k, l) = 1; - } else { - m(k, l) = 0; - } - } - } - mats.push_back(m); - } - } - } - - return mats; -} - -template class Transformation { +class BiroliState { public: - unsigned L; - Matrix m; - Vector v; - - Transformation(unsigned L) : L(L) { - m.setIdentity(); - v.setZero(); - } - - Transformation(unsigned L, const Matrix& m, const Vector& v) : L(L), m(m), v(v) {} - - Transformation(unsigned L, const std::vector>& ms, Rng& r) : m(r.pick(ms)), L(L) { - for (unsigned i = 0; i < D; i++) { - v[i] = r.uniform((unsigned)0, L - 1); - } + unsigned maximumNeighbors; + unsigned occupiedNeighbors; - v = v - m * v; + BiroliState() { + maximumNeighbors = Empty; + occupiedNeighbors = 0; } - Transformation inverse() const { - return Transformation(L, m.transpose(), -m.transpose() * v); + bool empty() const { return maximumNeighbors == Empty; } + bool frustrated() const { return occupiedNeighbors > maximumNeighbors; } + bool operator==(const BiroliState& s) const { + return s.maximumNeighbors == maximumNeighbors; } - - Vector apply(const Vector& x) const { return mod(v + m * x, L); } - - Transformation apply(const Transformation& t) const { - Transformation tNew(L); - - tNew.m = m * t.m; - tNew.v = apply(t.v); - - return tNew; + void remove() { + maximumNeighbors = Empty; } -}; +} template class Vertex { public: @@ -156,8 +37,6 @@ public: bool visited; Vertex() { - occupiedNeighbors = 0; - maximumNeighbors = Empty; marked = false; } @@ -179,20 +58,15 @@ public: } }; -template class System { +template class BiroliSystem : public HardSystem { public: - const unsigned L; std::vector N; - std::unordered_set*> occupants; - std::vector> vertices; - Transformation orientation; - - unsigned size() const { return vertices.size(); } + std::unordered_set*> occupants; unsigned types() const { return N.size() - 1; } unsigned occupancy() const { - return size() - N[0]; + return BiroliSystem::size() - N[0]; } double density() const { return (double)occupancy() / size(); } @@ -217,23 +91,7 @@ public: return true; } - unsigned vectorToIndex(const Vector& x) const { - unsigned i = 0; - for (unsigned d = 0; d < D; d++) { - i += x[d] * iPow(L, d); - } - return i; - } - - Vector indexToVector(unsigned i) const { - Vector x; - for (unsigned d = 0; d < D; d++) { - x[d] = (i / iPow(L, d)) % L; - } - return x; - } - - System(unsigned L, unsigned T) : L(L), N(T + 1, 0), vertices(iPow(L, D)), orientation(L) { + BiroliSystem(unsigned L, unsigned T) : L(L), N(T + 1, 0), vertices(iPow(L, D)), orientation(L) { N[0] = size(); for (unsigned i = 0; i < size(); i++) { diff --git a/ciamarra.cpp b/ciamarra.cpp index f2f44c1..7d7c8af 100644 --- a/ciamarra.cpp +++ b/ciamarra.cpp @@ -1,251 +1,58 @@ -#include -#include -#include -#include -#include -#include - #include "pcg-cpp/include/pcg_random.hpp" #include "randutils/randutils.hpp" -using Rng = randutils::random_generator; - -template using Vector = Eigen::Matrix; -template using Matrix = Eigen::Matrix; - -int iPow(int x, unsigned p) { - if (p == 0) - return 1; - if (p == 1) - return x; - - int tmp = iPow(x, p / 2); - if (p % 2 == 0) - return tmp * tmp; - else - return x * tmp * tmp; -} - -unsigned mod(signed a, unsigned b) { - return ((a < 0) ? (a + (1 - a / (signed)b) * b) : a) % b; -} - -template Vector mod(const Eigen::MatrixBase& v, unsigned b) { - Vector u; - for (unsigned i = 0; i < D; i++) { - u(i) = mod(v(i), b); - } - return u; -} +#include "glass.hpp" -template void one_sequences(std::list>& sequences, unsigned level) { - if (level > 0) { - unsigned new_level = level - 1; - unsigned old_length = sequences.size(); - for (std::array& sequence : sequences) { - std::array new_sequence = sequence; - new_sequence[new_level] = -1; - sequences.push_front(new_sequence); - } - one_sequences(sequences, new_level); - } -} +template class CiamarraState : public Vector { +public: + CiamarraState() : Vector(Vector::Zero()) {} -template std::vector> generateTorusMatrices() { - std::vector> mats; + CiamarraState(const Vector& v) : Vector(v) {} - std::array ini_sequence; - ini_sequence.fill(1); - std::list> sequences; - sequences.push_back(ini_sequence); + CiamarraState(unsigned a, signed b) : Vector(Vector::Zero()) { CiamarraState::operator()(a) = b; } - one_sequences(sequences, D); + CiamarraState(Rng& r) : CiamarraState(r.uniform((unsigned)0, D - 1), r.pick({-1, 1})) {} - sequences.pop_back(); // don't want the identity matrix! + bool empty() const { return CiamarraState::squaredNorm() == 0; } - for (std::array sequence : sequences) { - Matrix m; - for (unsigned i = 0; i < D; i++) { - for (unsigned j = 0; j < D; j++) { - if (i == j) { - m(i, j) = sequence[i]; - } else { - m(i, j) = 0; - } - } - } + void remove() { CiamarraState::setZero(); } - mats.push_back(m); + bool operator==(const CiamarraState& s) const { + return CiamarraState::dot(s) == 1; } - for (unsigned i = 0; i < D; i++) { - for (unsigned j = 0; j < D; j++) { - if (i != j) { - Matrix m; - for (unsigned k = 0; k < D; k++) { - for (unsigned l = 0; l < D; l++) { - if ((k == i && l == j) || (k == j && l == i)) { - if (i < j) { - m(k, l) = 1; - } else { - m(k, l) = -1; - } - } else if (k == l && (k != i && k != j)) { - m(k, l) = 1; - } else { - m(k, l) = 0; - } - } - } - mats.push_back(m); - } - } - } - - return mats; -} - -template class State : public Vector { -public: - State() : Vector(Vector::Zero()) {} - - State(const Vector& v) : Vector(v) {} - - State(unsigned a, signed b) : Vector(Vector::Zero()) { this->operator()(a) = b; } - - State(Rng& r) : State(r.uniform((unsigned)0, D - 1), r.pick({-1, 1})) {} - - bool isEmpty() const { return this->squaredNorm() == 0; } - - void remove() { this->setZero(); } - - State flip() const { - State s; + CiamarraState flip() const { + CiamarraState s; for (unsigned i = 0; i < D; i++) { s(i) = -this->operator()(i); } return s; } -}; - -template class Transformation { - public: - unsigned L; - Matrix m; - Vector v; - - Transformation(unsigned L) : L(L) { - m.setIdentity(); - v.setZero(); - } - - Transformation(unsigned L, const Matrix& m, const Vector& v) : L(L), m(m), v(v) {} - - Transformation(unsigned L, const std::vector>& ms, Rng& r) : m(r.pick(ms)), L(L) { - for (unsigned i = 0; i < D; i++) { - v[i] = r.uniform((unsigned)0, L - 1); - } - - v = v - m * v; - } - - Vector apply(const Vector& x) const { - return mod(v + m * x, L); - } - - Transformation apply(const Transformation& t) const { - Transformation tNew(L); - - tNew.m = m * t.m; - tNew.v = apply(t.v); - - return tNew; - } - - State apply(const State& x) const { - return State(m * x); - } - - Transformation inverse() const { - return Transformation(L, m.transpose(), -m.transpose() * v); - } -}; - -template class HalfEdge; - -template class Vertex { -public: - Vector position; - State state; - std::vector> adjacentEdges; - bool marked; - - bool isEmpty() const { return state.isEmpty(); } -}; - -template class HalfEdge { -public: - Vertex& neighbor; - Vector Δx; - - HalfEdge(Vertex& n, const Vector& d) : neighbor(n), Δx(d) {} -}; - -template class System { -public: - const unsigned L; - unsigned N; - std::vector> vertices; - Transformation orientation; - - unsigned vectorToIndex(const Vector& x) const { - unsigned i = 0; - for (unsigned d = 0; d < D; d++) { - i += x[d] * iPow(L, d); - } - return i; - } - Vector indexToVector(unsigned i) const { - Vector x; - for (unsigned d = 0; d < D; d++) { - x[d] = (i / iPow(L, d)) % L; - } - return x; + CiamarraState transform(const Transformation& m) const { + return m * *this; } +}; - System(unsigned L) : L(L), N(0), vertices(iPow(L, D)), orientation(L) { - for (unsigned i = 0; i < iPow(L, D); i++) { - vertices[i].position = indexToVector(i); - vertices[i].adjacentEdges.reserve(2 * D); - vertices[i].marked = false; - } +template +class CiamarraSystem : public HardSystem> { + using HardSystem>::HardSystem; - for (unsigned d = 0; d < D; d++) { - Vector Δx = Vector::Zero(); - Δx[d] = 1; - for (signed i = 0; i < iPow(L, D); i++) { - unsigned j = iPow(L, d + 1) * (i / iPow(L, d + 1)) + mod(i + iPow(L, d), pow(L, d + 1)); - vertices[i].adjacentEdges.push_back(HalfEdge(vertices[j], Δx)); - vertices[j].adjacentEdges.push_back(HalfEdge(vertices[i], -Δx)); - } - } - } - - std::list>> overlaps(Vertex& v, const State& s, - bool excludeSelf = false) { - std::list>> o; + std::list>>> + overlaps(Vertex>& v, const CiamarraState& s, bool + excludeSelf = false) override { + std::list>>> o; - if (s.isEmpty()) { + if (s.empty()) { return o; } - if (!v.isEmpty() && !excludeSelf) { + if (!v.empty() && !excludeSelf) { o.push_back(v); } - for (const HalfEdge& e : v.adjacentEdges) { - if (!e.neighbor.isEmpty()) { + for (const HalfEdge>& 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); } @@ -255,77 +62,10 @@ public: return o; } - bool insert(Vertex& v, const State& s) { - if (overlaps(v, s).empty()) { - v.state = s; - N++; - return true; - } else { - return false; - } - } - - bool tryDeletion(Vertex& v) { - if (v.isEmpty()) { - return false; - } else { - v.state.remove(); - N--; - return true; - } - } - - bool tryRandomMove(Rng& r) { - Vertex& v = r.pick(vertices); - State oldState = v.state; - - if (!tryDeletion(v)) { - return false; - } - - if (1.0 / (2.0 * D) > r.uniform(0.0, 1.0)) { - for (HalfEdge& e : v.adjacentEdges) { - if (1 == e.Δx.dot(oldState)) { - if (insert(e.neighbor, oldState.flip())) { - return true; - } - break; - } - } - } else { - State newState(r); - while (newState.dot(oldState) == 1) { - newState = State(r); - } - if (insert(v, newState)) { - return true; - } - } - v.state = oldState; - N++; - return false; - } - - bool trySwap(Vertex& v1, Vertex& v2) { - if (overlaps(v1, v2.state, true).size() == 0 && overlaps(v2, v1.state, true).size() == 0) { - std::swap(v1.state, v2.state); - return true; - } else { - return false; - } - } - - bool tryRandomSwap(Rng& r) { - Vertex& v1 = r.pick(vertices); - Vertex& v2 = r.pick(vertices); - - return trySwap(v1, v2); - } - void setGroundState() { - N = 0; + CiamarraSystem::N = 0; - for (Vertex& v : vertices) { + for (Vertex>& v : CiamarraSystem::vertices) { unsigned a = 0; for (unsigned d = 0; d < D; d++) { a += (d + 1) * v.position(d); @@ -336,142 +76,18 @@ public: if (0 < a && a <= D) { v.state(a - 1) = -1; - N++; + CiamarraSystem::N++; } else if (D < a) { v.state(2 * D - a) = 1; - N++; + CiamarraSystem::N++; } } } - - bool compatible() { - for (Vertex& v : vertices) { - if (overlaps(v, v.state, true).size() > 0) { - return false; - } - } - - return true; - } - - double density() const { return N / pow(L, D); } - - unsigned maxOccupation() const { - // return (2 * D * iPow(L, D)) / (2 * D + 1); - return iPow(L, D); - } - - void sweepGrandCanonical(double z, Rng& r) { - for (unsigned i = 0; i < iPow(L, D); i++) { - if (0.5 < r.uniform(0.0, 1.0)) { - double pIns = maxOccupation() * z / (N + 1); - - if (pIns > r.uniform(0.0, 1.0)) { - while (true) { - Vertex& v = r.pick(vertices); - if (v.isEmpty()) { - insert(v, State(r)); - break; - } - } - } - } else { - - double pDel = N / (z * maxOccupation()); - - if (pDel > r.uniform(0.0, 1.0)) { - tryDeletion(r.pick(vertices)); - } - } - - tryRandomMove(r); - } - } - - void sweepLocal(Rng& r) { - for (unsigned i = 0; i < iPow(L, D); i++) { - tryRandomMove(r); - } - } - - void sweepSwap(Rng& r) { - for (unsigned i = 0; i < iPow(L, D); i++) { - tryRandomSwap(r); - } - } - - unsigned flipCluster(const Transformation& R, Vertex& v0, Rng& r, bool dry = false) { - std::queue>> q; - q.push(v0); - - unsigned n = 0; - - while (!q.empty()) { - Vertex& v = q.front(); - q.pop(); - - if (!v.marked) { - Vector xNew = R.apply(v.position); - Vertex& vNew = vertices[vectorToIndex(xNew)]; - - v.marked = true; - vNew.marked = true; - - State s = R.apply(v.state); - State sNew = R.apply(vNew.state); - - std::list>> overlaps1 = overlaps(vNew, s, true); - std::list>> overlaps2 = overlaps(v, sNew, true); - overlaps1.splice(overlaps1.begin(), overlaps2); - - for (Vertex& vn : overlaps1) { - if (!vn.marked) { - q.push(vn); - } - } - - if (!dry) { - v.state = sNew; - vNew.state = s; - } - - n += 1; - } - } - - return n; - } - - void swendsenWang(const Transformation& R, Rng& r) { - for (Vertex& v : vertices) { - if (!v.marked) { - bool dry = 0.5 < r.uniform(0.0, 1.0); - unsigned n = flipCluster(R, v, r, dry); - if (n > pow(L, D) / 4 && !dry) { - orientation = R.apply(orientation); - } - } - } - - for (Vertex& v : vertices) { - v.marked = false; - } - } - - int overlap(const System& s) const { - int o = 0; - - for (unsigned i = 0; i < vertices.size(); i++) { - State s2 = orientation.apply(s.vertices[vectorToIndex(orientation.inverse().apply(indexToVector(i)))].state); - o += vertices[i].state.dot(s2); - } - - return o; - } }; -void print(const System<2>& s) { - for (const Vertex<2>& v : s.vertices) { + +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) { @@ -492,14 +108,6 @@ void print(const System<2>& s) { } } -template Vector randomVector(unsigned L, Rng& r) { - Vector x; - for (unsigned i = 0; i < D; i++) { - x[i] = r.uniform((unsigned)0, L - 1); - } - return x; -} - int main() { const unsigned D = 3; unsigned L = 15; @@ -509,7 +117,7 @@ int main() { double Tmax = 0.2; double δT = 0.02; - System s(L); + CiamarraSystem s(L); Rng r; @@ -526,7 +134,7 @@ int main() { std::cerr << "Found state with appropriate density." << std::endl; - System s0 = s; + CiamarraSystem s0 = s; std::vector> ms = generateTorusMatrices(); @@ -537,10 +145,10 @@ int main() { std::cout << i << " " << s.overlap(s0) << std::endl; } Matrix m = r.pick(ms); - Vertex& v = r.pick(s.vertices); + Vertex>& v = r.pick(s.vertices); unsigned nC = s.flipCluster(Transformation(L, m, v.position - m * v.position), v, r); std::cerr << nC << std::endl; - for (Vertex& v : s.vertices) { + for (Vertex>& v : s.vertices) { v.marked = false; } // s.sweepLocal(r); diff --git a/compile_flags.txt b/compile_flags.txt new file mode 100644 index 0000000..02d9f07 --- /dev/null +++ b/compile_flags.txt @@ -0,0 +1,3 @@ +-std=c++20 +-O3 +-I/usr/include/eigen3 diff --git a/distinguishable.cpp b/distinguishable.cpp index 0b70cf2..22f228a 100644 --- a/distinguishable.cpp +++ b/distinguishable.cpp @@ -16,12 +16,14 @@ public: }; template -class DistinguishableSystem : public FiniteEnergySystem { +class DistinguishableSystem : public SoftSystem { public: std::vector interaction; DistinguishableSystem(unsigned L, unsigned N, Rng& r) - : FiniteEnergySystem(L, N), interaction(N * N) { + : SoftSystem(L), interaction(N * N) { + DistinguishableSystem::N = N; + for (double& V : interaction) { V = r.uniform(-0.5, 0.5); } diff --git a/glass.hpp b/glass.hpp index 64fe8b7..d313ced 100644 --- a/glass.hpp +++ b/glass.hpp @@ -180,6 +180,7 @@ public: const unsigned L; unsigned N; std::vector> vertices; + Transformation orientation; unsigned vectorToIndex(const Vector& x) const { unsigned i = 0; @@ -197,7 +198,7 @@ public: return x; } - System(unsigned L, unsigned N) : L(L), N(N), vertices(iPow(L, D)) { + System(unsigned L) : L(L), N(0), vertices(iPow(L, D)), orientation(L) { for (unsigned i = 0; i < iPow(L, D); i++) { vertices[i].position = indexToVector(i); vertices[i].initialPosition = vertices[i].position; @@ -216,8 +217,14 @@ public: } } + unsigned size() const { return vertices.size(); } + double density() const { return N / pow(L, D); } + unsigned maxOccupation() const { + return iPow(L, D); + } + void setInitialPosition() { for (Vertex& v : vertices) { v.initialPosition = v.position; @@ -240,7 +247,7 @@ public: } }; -template class FiniteEnergySystem : public System { +template class SoftSystem : public System { public: using System::System; @@ -326,7 +333,7 @@ public: bool dry = false) { std::queue>, 2>> q; Vector x0New = R.apply(v0.position); - Vertex& v0New = this->vertices[this->vectorToIndex(x0New)]; + Vertex& v0New = SoftSystem::vertices[SoftSystem::vectorToIndex(x0New)]; q.push({v0, v0New}); unsigned n = 0; @@ -346,7 +353,7 @@ public: Vertex& vn = e.neighbor; Vector xnNew = R.apply(vn.position); - Vertex& vnNew = this->vertices[this->vectorToIndex(xnNew)]; + Vertex& vnNew = SoftSystem::vertices[SoftSystem::vectorToIndex(xnNew)]; if (!vn.marked && !vnNew.marked) { double E0 = pairEnergy(v.state, vn.state) + pairEnergy(vNew.state, vnNew.state); @@ -393,3 +400,197 @@ public: } }; +template class HardSystem : public System { +public: + + HardSystem(unsigned L) : System(L) {} + + virtual std::list>> overlaps(Vertex&, const S&, + bool = false) { return {}; } + + bool insert(Vertex& v, const S& s) { + if (overlaps(v, s).empty()) { + v.state = s; + HardSystem::N++; + return true; + } else { + return false; + } + } + + bool tryDeletion(Vertex& v) { + if (v.empty()) { + return false; + } else { + v.state.remove(); + HardSystem::N--; + return true; + } + } + + bool tryRandomMove(Rng& r) { + Vertex& v = r.pick(HardSystem::vertices); + S oldState = v.state; + + if (!tryDeletion(v)) { + return false; + } + + if (1.0 / (2.0 * D) > r.uniform(0.0, 1.0)) { + for (HalfEdge& e : v.adjacentEdges) { + if (1 == e.Δx.dot(oldState)) { + if (insert(e.neighbor, oldState.flip())) { + return true; + } + break; + } + } + } else { + S newState(r); + while (newState == oldState) { + newState = S(r); + } + if (insert(v, newState)) { + return true; + } + } + v.state = oldState; + HardSystem::N++; + return false; + } + + bool trySwap(Vertex& v1, Vertex& v2) { + if (overlaps(v1, v2.state, true).size() == 0 && overlaps(v2, v1.state, true).size() == 0) { + std::swap(v1.state, v2.state); + return true; + } else { + return false; + } + } + + bool tryRandomSwap(Rng& r) { + Vertex& v1 = r.pick(HardSystem::vertices); + Vertex& v2 = r.pick(HardSystem::vertices); + + return trySwap(v1, v2); + } + + + bool compatible() { + for (Vertex& v : HardSystem::vertices) { + if (overlaps(v, v.state, true).size() > 0) { + return false; + } + } + + return true; + } + + void sweepGrandCanonical(double z, Rng& r) { + for (unsigned i = 0; i < iPow(HardSystem::L, D); i++) { + if (0.5 < r.uniform(0.0, 1.0)) { + double pIns = HardSystem::maxOccupation() * z / (HardSystem::N + 1); + + if (pIns > r.uniform(0.0, 1.0)) { + while (true) { + Vertex& v = r.pick(HardSystem::vertices); + if (v.empty()) { + insert(v, S(r)); + break; + } + } + } + } else { + + double pDel = HardSystem::N / (z * HardSystem::maxOccupation()); + + if (pDel > r.uniform(0.0, 1.0)) { + tryDeletion(r.pick(HardSystem::vertices)); + } + } + + tryRandomMove(r); + } + } + + void sweepLocal(Rng& r) { + for (unsigned i = 0; i < iPow(HardSystem::L, D); i++) { + tryRandomMove(r); + } + } + + void sweepSwap(Rng& r) { + for (unsigned i = 0; i < iPow(HardSystem::L, D); i++) { + tryRandomSwap(r); + } + } + + unsigned flipCluster(const Transformation& R, Vertex& v0, Rng& r, bool dry = false) { + std::queue>> q; + q.push(v0); + + unsigned n = 0; + + while (!q.empty()) { + Vertex& v = q.front(); + q.pop(); + + if (!v.marked) { + Vector xNew = R.apply(v.position); + Vertex& vNew = HardSystem::vertices[HardSystem::vectorToIndex(xNew)]; + + v.marked = true; + vNew.marked = true; + + S s = R.apply(v.state); + S sNew = R.apply(vNew.state); + + std::list>> overlaps1 = overlaps(vNew, s, true); + std::list>> overlaps2 = overlaps(v, sNew, true); + overlaps1.splice(overlaps1.begin(), overlaps2); + + for (Vertex& vn : overlaps1) { + if (!vn.marked) { + q.push(vn); + } + } + + if (!dry) { + v.state = sNew; + vNew.state = s; + } + + n += 1; + } + } + + return n; + } + + void swendsenWang(const Transformation& R, Rng& r) { + for (Vertex& v : HardSystem::vertices) { + if (!v.marked) { + bool dry = 0.5 < r.uniform(0.0, 1.0); + unsigned n = flipCluster(R, v, r, dry); + if (n > pow(HardSystem::L, D) / 4 && !dry) { + orientation = R.apply(orientation); + } + } + } + + for (Vertex& v : HardSystem::vertices) { + v.marked = false; + } + } + + int overlap(const System& s) const { + int o = 0; + + for (unsigned i = 0; i < HardSystem::vertices.size(); i++) { + S s2 = orientation.apply(s.vertices[HardSystem::vectorToIndex(orientation.inverse().apply(HardSystem::indexToVector(i)))].state); + o += HardSystem::vertices[i].state.dot(s2); + } + + return o; + } +}; -- cgit v1.2.3-70-g09d2