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#include "space_wolff.hpp"
std::function<double(spin<signed, 2, signed>)> B_sin(unsigned L, unsigned n, double H) {
return [n, H, L] (spin<signed, 2, signed> s) -> double {
return H * s.s * cos(2 * M_PI * n * s.x(0) / ((double)L));
};
}
int main(int argc, char* argv[]) {
const unsigned D = 2;
unsigned L = 32;
unsigned N = 1000;
unsigned mod = 0;
unsigned multi = 1e4;
double mag = 0.5;
double T = 2.0 / log(1.0 + sqrt(2.0));
double H = 1.0;
double ε = 0.1;
int opt;
while ((opt = getopt(argc, argv, "N:L:T:H:e:m:M:n:")) != -1) {
switch (opt) {
case 'N':
N = (unsigned)atof(optarg);
break;
case 'L':
L = atoi(optarg);
break;
case 'T':
T = atof(optarg);
break;
case 'H':
H = atof(optarg);
break;
case 'e':
ε = atof(optarg);
break;
case 'm':
mod = atoi(optarg);
break;
case 'M':
multi = atoi(optarg);
break;
case 'n':
mag = atof(optarg);
break;
default:
exit(1);
}
}
double pZ = 1.0 - exp(-1.0 / T);
std::function<double(spin<signed, D, signed>, spin<signed, D, signed>, spin<signed, D, signed>)> Z =
[L, pZ] (spin<signed, D, signed> s1, spin<signed, D, signed> s2, spin<signed, D, signed> s1_new) -> double {
bool old_one_one = false;
bool old_many_ones = false;
bool old_any_two = false;
bool new_one_one = false;
bool new_many_ones = false;
bool new_any_two = false;
vector<signed, D> old_diff = diff<signed, D>(L, s1.x, s2.x);
vector<signed, D> new_diff = diff<signed, D>(L, s1_new.x, s2.x);
for (unsigned i = 0; i < D; i++) {
if (old_diff(i) == 1 && !old_one_one) {
old_one_one = true;
} else if (old_diff(i) == 1 && old_one_one) {
old_many_ones = true;
} else if (old_diff(i) > 1) {
old_any_two = true;
}
if (new_diff(i) == 1 && !new_one_one) {
new_one_one = true;
} else if (new_diff(i) == 1 && new_one_one) {
new_many_ones = true;
} else if (new_diff(i) > 1) {
new_any_two = true;
}
}
bool were_on_someone = !old_one_one && !old_any_two;
bool are_on_someone = !new_one_one && !new_any_two;
bool were_nearest_neighbors = old_one_one && !old_many_ones && !old_any_two;
bool are_nearest_neighbors = new_one_one && !new_many_ones && !new_any_two;
if (were_on_someone) {
return 0.0;
} else if (are_on_someone) {
return 1.0;
} else if (were_nearest_neighbors && are_nearest_neighbors) {
return 0.0;
} else if (were_nearest_neighbors) {
if (s1.s * s2.s == 1) {
return pZ;
} else {
return 0.0;
}
} else if (are_nearest_neighbors) {
if (s1_new.s * s2.s == -1) {
return pZ;
} else {
return 0.0;
}
} else {
return 0.0;
}
};
std::function<double(spin<signed, D, signed>)> B_face =
[L, H] (spin<signed, D, signed> s) -> double {
return H * s.s * smiley[s.x(0) * 16 / L][s.x(1) * 16 / L];
};
std::function<double(spin<signed, D, signed>)> B;
if (mod > 0) {
B = B_sin(L, mod, H);
} else {
B = B_face;
}
std::function<std::set<unsigned>(model<signed, D, signed>&, unsigned, spin<signed, D, signed>)> neighbors =
[] (model<signed, D, signed>& m, unsigned i0, spin<signed, D, signed> s1) -> std::set<unsigned> {
std::set<unsigned> nn;
if (i0 < m.s.size()) {
std::set<unsigned> nn0 = m.dict.neighbors(m.s[i0].x, 1);
std::set<unsigned> nn1 = m.dict.neighbors(s1.x, 1);
nn.insert(nn0.begin(), nn0.end());
nn.insert(nn1.begin(), nn1.end());
nn.insert(m.s.size());
} else {
for (unsigned i = 0; i < m.s.size(); i++) {
nn.insert(i);
}
}
return nn;
};
model<signed, D, signed> ising(L, Z, B, neighbors);
randutils::auto_seed_128 seeds;
std::mt19937 rng{seeds};
std::uniform_int_distribution<unsigned> coin(0, 1);
unsigned n = 0;
unsigned up = 0;
unsigned down = 0;
for (unsigned i = 0; i < L; i++) {
for (unsigned j = 0; j < L; j++) {
if ((coin(rng) && up < pow(L, 2) * mag) || down >= pow(L, 2) * mag) {
ising.s.push_back({{i, j}, 1});
up++;
} else {
ising.s.push_back({{i, j}, -1});
down++;
}
ising.dict.record<signed>({i, j}, n);
n++;
}
}
/*
for (unsigned i = 0; i < L; i++) {
for (unsigned j = 0; j < L; j++) {
if (i < L / 2) {
ising.s.push_back({{i, j}, 1});
} else {
ising.s.push_back({{i, j}, -1});
}
ising.dict.record<signed>({i, j}, n);
n++;
}
}
*/
ising.update_energy();
while (true) {
ising.wolff(T, N, rng);
std::array<double, 2> τ = ising.Eq.τ();
std::cout << ising.Eq.num_added() << " " << τ[0] << " " << τ[1] << " " << τ[1] / τ[0] << "\n";
if (τ[1] / τ[0] < ε && τ[0] * multi < ising.Eq.num_added()) {
break;
}
}
std::ofstream outfile;
outfile.open("out.dat", std::ios::app);
std::array<double, 2> act = ising.Eq.τ();
std::vector<double> ρ = ising.Eq.ρ();
outfile << L << " " << T << " " << mod << " " << H << " " << ising.Eq.num_added() << " " << ising.Cq.avg() << " " << ising.Cq.serr() << " " << act[0] << " " << act[1];
for (double ρi : ρ) {
outfile << " " << ρi;
}
outfile << "\n";
std::ofstream snapfile;
snapfile.open("snap.dat");
std::vector<std::vector<signed>> snap(L);
for (std::vector<signed>& line : snap) {
line.resize(L);
}
for (spin<signed, D, signed> s : ising.s) {
spin<signed, D, signed> snew = ising.s0.inverse().act(s);
snap[snew.x(0)][snew.x(1)] = snew.s;
}
for (std::vector<signed> row : snap) {
for (signed s : row) {
snapfile << s << " ";
}
snapfile << "\n";
}
snapfile.close();
return 0;
}
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