1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
|
#include <chrono>
#include <fstream>
#include <iostream>
#include "animation.hpp"
#include "space_wolff.hpp"
#include "spheres.hpp"
#include "torus_symmetries.hpp"
const unsigned D = 2;
typedef Model<double, D, TorusGroup<double, D>, Dimer<double, 2>> model;
Gen<double, D, TorusGroup<double, D>, Dimer<double, D>> eGen(double L) {
std::vector<Vector<double, 2>> torusVectors = torus_vecs<double, 2>(L);
std::vector<Matrix<double, 2>> torusMatrices = torus_mats<double, 2>();
return [L, torusVectors,
torusMatrices](Model<double, D, TorusGroup<double, D>, Dimer<double, D>>& M,
Rng& r) -> Transformation<double, D, TorusGroup<double, D>, Dimer<double, D>>* {
Matrix<double, 2> m;
Vector<double, 2> t;
m = r.pick(torusMatrices);
t(0) = r.uniform<double>(0, L);
t(1) = r.uniform<double>(0, L);
t = t - m * t;
TorusGroup<double, 2> g = TorusGroup<double, 2>({(double)L, t, m});
Spin<double, 2, Dimer<double, 2>>* ss = r.pick(M.s);
return new SpinFlip<double, 2, TorusGroup<double, 2>, Dimer<double, 2>>(M, g, ss);
};
}
int main(int argc, char* argv[]) {
const unsigned D = 2;
double L = 32;
unsigned N = 1000;
double T = 2.0 / log(1.0 + sqrt(2.0));
double H = 1.0;
unsigned n = 25;
unsigned wait = 1000;
double k = 1e2;
double a = 0.1;
int opt;
while ((opt = getopt(argc, argv, "n:N:L:T:H:a:k:w:")) != -1) {
switch (opt) {
case 'n':
n = (unsigned)atof(optarg);
break;
case 'N':
N = (unsigned)atof(optarg);
break;
case 'L':
L = atof(optarg);
break;
case 'T':
T = atof(optarg);
break;
case 'H':
H = atof(optarg);
break;
case 'a':
a = atof(optarg);
break;
case 'k':
k = atof(optarg);
break;
case 'w':
wait = atoi(optarg);
break;
default:
exit(1);
}
}
auto zSingle = zSpheresTorus<D>(L, a, k);
std::function<double(const Spin<double, D, Dimer<double, D>>&,
const Spin<double, D, Dimer<double, D>>&)>
Z = [L, zSingle, a, k](const Spin<double, D, Dimer<double, D>>& s1,
const Spin<double, D, Dimer<double, D>>& s2) -> double {
Spin<double, D, Radius> s11 = {.x = s1.x + s1.s.relativePosition, .s = s1.s.radius};
Spin<double, D, Radius> s12 = {.x = s1.x - s1.s.relativePosition, .s = s1.s.radius};
Spin<double, D, Radius> s21 = {.x = s2.x + s2.s.relativePosition, .s = s2.s.radius};
Spin<double, D, Radius> s22 = {.x = s2.x - s2.s.relativePosition, .s = s2.s.radius};
return zSingle(s11, s21) + zSingle(s12, s21) + zSingle(s11, s22) + zSingle(s12, s22);
};
std::function<double(Spin<double, D, Dimer<double, D>>)> B = [L, H](Spin<double, D, Dimer<double, D>> s) -> double {
return H * s.x(1);
};
auto g1 = eGen(L);
auto tag = std::chrono::high_resolution_clock::now();
Animation<double, D, TorusGroup<double, D>, Dimer<double, D>> A(L, 750, argc, argv, wait, true);
model sphere(L, Z, B);
Rng rng;
sphere.s.resize(n);
unsigned nx = floor(sqrt(n));
for (unsigned i = 0; i < sphere.s.size(); i++) {
Spin<double, 2, Dimer<double, D>>* ss = new Spin<double, 2, Dimer<double, D>>();
ss->x = {(i / nx) * L / nx - L / 2, (i % nx) * L / nx - L / 2};
ss->s = Dimer<double, D>{.relativePosition = {0.2, 0}, .radius = 0.25};
sphere.s[i] = ss;
sphere.dict.insert(ss);
}
sphere.wolff(T, {g1}, A, N);
/*
std::ofstream snapfile;
snapfile.open("sphere_snap.dat");
for (Spin<double, D, double>* s : sphere.s) {
Spin<double, D, double> rs = sphere.s0.inverse().act(*s);
snapfile << rs.s << " " << rs.x.transpose() << "\n";
delete s;
}
snapfile.close();
*/
return 0;
}
|
