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
|
#include <GL/glut.h>
#include <fstream>
#include <iostream>
#include "space_wolff.hpp"
#include "torus_symmetries.hpp"
#include "animation.hpp"
const unsigned D = 2;
typedef Model<double, D, TorusGroup<double, D>, double> model;
Gen<double, D, TorusGroup<double, D>, double> 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>, double>& M,
Rng& r) -> Transformation<double, D, TorusGroup<double, D>, double>* {
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, double>* ss = r.pick(M.s);
return new SpinFlip<double, 2, TorusGroup<double, 2>, double>(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;
int opt;
while ((opt = getopt(argc, argv, "n:N:L:T:H:")) != -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;
default:
exit(1);
}
}
double k = 1e8;
double a = 0.0;
std::function<double(const Spin<double, D, double>&, const Spin<double, D, double>&)> Z =
[L, a, k](const Spin<double, D, double>& s1, const Spin<double, D, double>& s2) -> double {
Vector<double, D> d = diff(L, s1.x, s2.x);
double σ = s1.s + s2.s;
double δ = σ - sqrt(d.transpose() * d);
if (δ > -a * σ) {
return 0.5 * k * (2 * pow(a * σ, 2) - pow(δ, 2));
} else if (δ > -2 * a * σ) {
return 0.5 * k * pow(δ + 2 * a * σ, 2);
} else {
return 0;
}
};
std::function<double(Spin<double, D, double>)> B = [L, H](Spin<double, D, double> s) -> double {
return H * s.x(1);
};
auto g = eGen(L);
std::ofstream ofile("test.dat");
Animation<double, D, TorusGroup<double, D>, Radius> A(L, 750, argc, argv, 1000, true);
model sphere(L, Z, B);
randutils::mt19937_rng rng;
sphere.s.resize(n);
unsigned nx = floor(sqrt(n));
for (unsigned i = 0; i < sphere.s.size(); i++) {
Spin<double, 2, double>* ss = new Spin<double, 2, double>();
ss->x = {(i / nx) * L / nx, (i % nx) * L / nx};
ss->s = rng.pick({0.45, 0.45});
sphere.s[i] = ss;
sphere.dict.insert(ss);
}
sphere.wolff(T, {g}, A, N);
ofile.close();
return 0;
}
|