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-rw-r--r--examples/src/models/roughening/wolff_dgm.cpp164
1 files changed, 164 insertions, 0 deletions
diff --git a/examples/src/models/roughening/wolff_dgm.cpp b/examples/src/models/roughening/wolff_dgm.cpp
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+++ b/examples/src/models/roughening/wolff_dgm.cpp
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+
+#include <getopt.h>
+
+#ifdef HAVE_GLUT
+#include <GL/glut.h>
+#endif
+
+// include your group and spin space
+#include "dihedral_inf.hpp"
+#include "height.hpp"
+
+#include <randutils/randutils.hpp>
+
+// include wolff.h
+#include <wolff.hpp>
+
+typedef state_t <dihedral_inf_t<int64_t>, height_t<int64_t>> sim_t;
+
+int main(int argc, char *argv[]) {
+
+ count_t N = (count_t)1e4;
+
+ D_t D = 2;
+ L_t L = 128;
+ double T = 2.26918531421;
+ double H = 0;
+
+ bool silent = false;
+ bool draw = false;
+ unsigned int window_size = 512;
+ uint64_t epsilon = 1;
+
+ int opt;
+
+ while ((opt = getopt(argc, argv, "N:D:L:T:H:sdw:e:")) != -1) {
+ switch (opt) {
+ case 'N': // number of steps
+ N = (count_t)atof(optarg);
+ break;
+ case 'D': // dimension
+ D = atoi(optarg);
+ break;
+ case 'L': // linear size
+ L = atoi(optarg);
+ break;
+ case 'T': // temperature
+ T = atof(optarg);
+ break;
+ case 'H': // external field. nth call couples to state n
+ H = atof(optarg);
+ break;
+ case 'e': // external field. nth call couples to state n
+ epsilon = atof(optarg);
+ break;
+ case 's': // don't print anything during simulation. speeds up slightly
+ silent = true;
+ break;
+ case 'd':
+#ifdef HAVE_GLUT
+ draw = true;
+ break;
+#else
+ printf("You didn't compile this with the glut library installed!\n");
+ exit(EXIT_FAILURE);
+#endif
+ case 'w':
+ window_size = atoi(optarg);
+ break;
+ default:
+ exit(EXIT_FAILURE);
+ }
+ }
+
+ // initialize random number generator
+ randutils::auto_seed_128 seeds;
+ std::mt19937 rng{seeds};
+
+ // define spin-spin coupling
+ std::function <double(const height_t<int64_t>&, const height_t<int64_t>&)> Z = [] (const height_t<int64_t>& h1, const height_t<int64_t>& h2) -> double {
+ return -pow(h1.x - h2.x, 2);
+ };
+
+ // define spin-field coupling
+ std::function <double(const height_t<int64_t> &)> B = [=] (const height_t<int64_t>& h) -> double {
+ return -H * pow(h.x, 2);;
+ };
+
+ // initialize state object
+ sim_t s(D, L, T, Z, B);
+
+ // define function that generates self-inverse rotations
+ std::function <dihedral_inf_t<int64_t>(std::mt19937&, height_t<int64_t>)> gen_R = [=] (std::mt19937& r, height_t<int64_t> h) -> dihedral_inf_t<int64_t> {
+ dihedral_inf_t<int64_t> rot;
+ rot.is_reflection = true;
+
+ std::uniform_int_distribution<int64_t> dist(-epsilon,epsilon);
+
+ rot.x = 2 * h.x + dist(r);
+
+ return rot;
+ };
+
+ // define function that updates any number of measurements
+ std::function <void(const sim_t&)> measurement;
+
+ double average_M = 0;
+ if (!draw) {
+ // a very simple example: measure the average magnetization
+ measurement = [&] (const sim_t& s) {
+ average_M += (double)s.M / (double)N / (double)s.nv;
+ };
+ } else {
+ // a more complex example: measure the average magnetization, and draw the spin configuration to the screen
+
+#ifdef HAVE_GLUT
+ // initialize glut
+ glutInit(&argc, argv);
+ glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
+ glutInitWindowSize(window_size, window_size);
+ glutCreateWindow("wolff");
+ glClearColor(0.0,0.0,0.0,0.0);
+ glMatrixMode(GL_PROJECTION);
+ glLoadIdentity();
+ gluOrtho2D(0.0, L, 0.0, L);
+
+ measurement = [&] (const sim_t& s) {
+ average_M += (double)s.M / (double)N / (double)s.nv;
+ glClear(GL_COLOR_BUFFER_BIT);
+ int64_t max_h = INT64_MIN;
+ int64_t min_h = INT64_MAX;
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ int64_t cur_h = (s.R.act_inverse(s.spins[i])).x;
+ if (cur_h < min_h) {
+ min_h = cur_h;
+ }
+ if (cur_h > max_h) {
+ max_h = cur_h;
+ }
+ }
+
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ int64_t cur_h = (s.R.act_inverse(s.spins[i])).x;
+ double mag = ((double)(cur_h - min_h)) / ((double)(max_h - min_h));
+ glColor3f(mag, mag, mag);
+ glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
+ }
+ glFlush();
+ };
+#endif
+ }
+
+ // run wolff for N cluster flips
+ wolff(N, s, gen_R, measurement, rng, silent);
+
+ // tell us what we found!
+ printf("%" PRIcount " DGM runs completed. D = %" PRID ", L = %" PRIL ", T = %g, H = %g, <M> = %g\n", N, D, L, T, H, average_M);
+
+ if (draw) {
+ }
+
+ return 0;
+
+}
+