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#pragma once
#include <set>
#include "random.hpp"
#include "spin.hpp"
template <class U, int D, class R, class S> class Model;
template <class U, int D, class R, class S> class Transformation {
public:
virtual std::set<Spin<U, D, S>*> current() const { return {NULL}; }
virtual std::set<Spin<U, D, S>*> toConsider() const { return {}; }
virtual double ΔE(const Spin<U, D, S>*) const { return 0; }
virtual Transformation* createNew(double T, const std::set<Spin<U, D, S>*>&, Spin<U, D, S>*, Rng& rng) const { return new Transformation(); }
virtual void apply(){};
};
template <class U, int D, class R, class S>
using Gen = std::function<Transformation<U, D, R, S>*(Model<U, D, R, S>&, Rng&)>;
template <class U, int D, class R, class S> class SpinFlip : public Transformation<U, D, R, S> {
private:
Model<U, D, R, S>& M;
Spin<U, D, S>* sOld;
const R r;
Spin<U, D, S> sNew;
public:
SpinFlip(Model<U, D, R, S>& M, const R& r, Spin<U, D, S>* s) : M(M), r(r) {
sOld = s;
sNew = r.act(*s);
}
std::set<Spin<U, D, S>*> current() const override { return {sOld}; }
std::set<Spin<U, D, S>*> toConsider() const override {
std::set<Spin<U, D, S>*> neighbors;
std::set<Spin<U, D, S>*> current_neighbors = M.dict.neighbors(sOld->x);
std::set<Spin<U, D, S>*> new_neighbors = M.dict.neighbors(sNew.x);
neighbors.insert(current_neighbors.begin(), current_neighbors.end());
neighbors.insert(new_neighbors.begin(), new_neighbors.end());
neighbors.insert(NULL);
return neighbors;
}
double ΔE(const Spin<U, D, S>* s) const override {
if (s == NULL) {
Spin<U, D, S> s0s_old = M.s0.inverse().act(*sOld);
Spin<U, D, S> s0s_new = M.s0.inverse().act(sNew);
return M.B(s0s_new) - M.B(s0s_old);
} else {
return M.Z(*sOld, *s) - M.Z(sNew, *s);
}
}
Transformation<U, D, R, S>* createNew(double, const std::set<Spin<U, D, S>*>&, Spin<U, D, S>* s, Rng&) const override;
void apply() override {
M.dict.remove(sOld);
*sOld = sNew;
M.dict.insert(sOld);
}
};
template <class U, int D, class R, class S> class PairFlip : public Transformation<U, D, R, S> {
private:
Model<U, D, R, S>& M;
Spin<U, D, S>* s1Old;
Spin<U, D, S>* s2Old;
const R r;
Spin<U, D, S> s1New;
Spin<U, D, S> s2New;
public:
PairFlip(Model<U, D, R, S>& M, const R& r, Spin<U, D, S>* s1, Spin<U, D, S>* s2) : M(M), r(r) {
s1Old = s1;
s2Old = s2;
s1New = r.act(*s1);
s2New = r.act(*s2);
}
std::set<Spin<U, D, S>*> current() const override { return {s1Old, s2Old}; }
std::set<Spin<U, D, S>*> toConsider() const override {
std::set<Spin<U, D, S>*> neighbors;
std::set<Spin<U, D, S>*> current_neighbors_1 = M.dict.neighbors(s1Old->x);
std::set<Spin<U, D, S>*> current_neighbors_2 = M.dict.neighbors(s2Old->x);
std::set<Spin<U, D, S>*> new_neighbors_1 = M.dict.neighbors(s1New.x);
std::set<Spin<U, D, S>*> new_neighbors_2 = M.dict.neighbors(s2New.x);
neighbors.insert(current_neighbors_1.begin(), current_neighbors_1.end());
neighbors.insert(current_neighbors_2.begin(), current_neighbors_2.end());
neighbors.insert(new_neighbors_1.begin(), new_neighbors_1.end());
neighbors.insert(new_neighbors_2.begin(), new_neighbors_2.end());
neighbors.insert(NULL);
return neighbors;
}
double ΔE(const Spin<U, D, S>* s) const override {
if (s == NULL) {
Spin<U, D, S> s0s1_old = M.s0.inverse().act(*s1Old);
Spin<U, D, S> s0s1_new = M.s0.inverse().act(s1New);
Spin<U, D, S> s0s2_old = M.s0.inverse().act(*s2Old);
Spin<U, D, S> s0s2_new = M.s0.inverse().act(s2New);
return M.B(s0s1_new) + M.B(s0s2_new) - M.B(s0s1_old) - M.B(s0s2_old);
} else {
return M.Z(*s1Old, *s) + M.Z(*s2Old, *s) - M.Z(s1New, *s) - M.Z(s2New, *s);
}
}
Transformation<U, D, R, S>* createNew(double T, const std::set<Spin<U, D, S>*>& v, Spin<double, D, S>* s, Rng&) const;
Transformation<U, D, R, S>* createNew(double T, const std::set<Spin<U, D, S>*>& v, Spin<signed, D, S>* s, Rng&) const;
void apply() override {
M.dict.remove(s1Old);
M.dict.remove(s2Old);
*s1Old = s1New;
*s2Old = s2New;
M.dict.insert(s1Old);
M.dict.insert(s2Old);
}
};
template <class U, int D, class R, class S> class FieldFlip : public Transformation<U, D, R, S> {
private:
Model<U, D, R, S>& M;
const R r;
R s0New;
public:
FieldFlip(Model<U, D, R, S>& M, const R& r) : M(M), r(r), s0New(r.act(M.s0)) {}
std::set<Spin<U, D, S>*> toConsider() const override {
std::set<Spin<U, D, S>*> neighbors;
for (Spin<U, D, S>* s : M.s) {
neighbors.insert(s);
}
return neighbors;
}
double ΔE(const Spin<U, D, S>* s) const override {
Spin<U, D, S> s0s_old = M.s0.inverse().act(*s);
Spin<U, D, S> s0s_new = s0New.inverse().act(*s);
return M.B(s0s_new) - M.B(s0s_old);
}
Transformation<double, D, R, S>* createNew(double T, const std::set<Spin<U, D, S>*>& v, Spin<double, D, S>* s, Rng&) const {
return new SpinFlip<U, D, R, S>(M, r, s);
}
Transformation<signed, D, R, S>* createNew(double, const std::set<Spin<U, D, S>*>&, Spin<signed, D, S>* s, Rng&) const {
Vector<signed, 2> v = r.act(*s).x;
std::set<Spin<U, D, S>*> on_site = M.dict.at(v);
if (on_site.empty()) {
return new SpinFlip<U, D, R, S>(M, r, s);
} else {
return new PairFlip<U, D, R, S>(M, r, s, *on_site.begin());
}
}
void apply() override { M.s0 = s0New; }
};
template <class U, int D, class R, class S>
Transformation<U, D, R, S>* SpinFlip<U, D, R, S>::createNew(double T, const std::set<Spin<U, D, S>*>& v, Spin<U, D, S>* s, Rng& rng) const {
if (s == NULL) {
return new FieldFlip<U, D, R, S>(M, r);
} else {
SpinFlip<U, D, R, S>* t = new SpinFlip<U, D, R, S>(M, r, s);
Spin<U, D, S>* sMax = NULL;
double ΔEMax = 0.0;
for (Spin<U, D, S>* ss : t->toConsider()) {
if (ss != NULL && ss != s && !v.contains(ss)) {
double ΔE = t->ΔE(ss);
if (ΔE > ΔEMax) {
sMax = ss;
ΔEMax = ΔE;
}
}
}
if (sMax == NULL || 1.0 - exp(-ΔEMax / T) < rng.uniform<double>(0, 1)) {
return t;
} else {
delete t;
return new PairFlip<U, D, R, S>(M, r, s, sMax);
}
}
}
template <class U, int D, class R, class S>
Transformation<U, D, R, S>* PairFlip<U, D, R, S>::createNew(double T, const std::set<Spin<U, D, S>*>& v, Spin<double, D, S>* s, Rng& rng) const {
if (s == NULL) {
return new FieldFlip<U, D, R, S>(M, r);
} else {
SpinFlip<U, D, R, S>* t = new SpinFlip<U, D, R, S>(M, r, s);
Spin<U, D, S>* sMax = NULL;
double ΔEMax = 0.0;
for (Spin<U, D, S>* ss : t->toConsider()) {
if (ss != NULL && ss != s && !v.contains(ss)) {
double ΔE = t->ΔE(ss);
if (ΔE > ΔEMax) {
sMax = ss;
ΔEMax = ΔE;
}
}
}
if (sMax == NULL || 1.0 - exp(-ΔEMax / T) < rng.uniform<double>(0, 1)) {
return t;
} else {
delete t;
return new PairFlip<U, D, R, S>(M, r, s, sMax);
}
}
}
template <class U, int D, class R, class S>
Transformation<U, D, R, S>* PairFlip<U, D, R, S>::createNew(double, const std::set<Spin<U, D, S>*>&, Spin<signed, D, S>* s, Rng&) const {
if (s == NULL) {
return new FieldFlip<U, D, R, S>(M, r);
} else {
Vector<signed, 2> v = r.act(*s).x;
std::set<Spin<U, D, S>*> on_site = M.dict.at(v);
if (on_site.empty()) {
return new SpinFlip<U, D, R, S>(M, r, s);
} else {
return new PairFlip<U, D, R, S>(M, r, s, *on_site.begin());
}
}
}
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