many changes, including new spin spaces and groups and cleaning up core library code

1 files changed, 278 insertions, 0 deletions

diff --git a/src/wolff_O2.cpp b/src/wolff_O2.cpp
new file mode 100644
index 0000000..63ca0a7
--- /dev/null
+++ b/src/wolff_O2.cpp
@@ -0,0 +1,278 @@
+
+#include <getopt.h>
+#include <stdio.h>
+
+#ifdef HAVE_GLUT
+#include <GL/glut.h>
+#endif
+
+#include <circle_group.h>
+#include <angle.h>
+
+#include <wolff.h>
+#include <measure.h>
+#include <colors.h>
+#include <rand.h>
+
+typedef circle_group_t orthogonal_R_t;
+typedef angle_t vector_R_t;
+typedef state_t <orthogonal_R_t, vector_R_t> On_t;
+
+double H_modulated(vector_R_t v, int order, double mag) {
+  return mag * cos(order * v.x);
+}
+
+double theta(double *v) {
+  double x = v[0];
+  double y = v[1];
+
+  if (x == 0) { 
+    if (y >= 0) {
+      return M_PI / 2;
+    } else {
+      return - M_PI / 2;
+    }
+  } else {
+    double val = atan(y / x);
+
+    if (x < 0.0 && y > 0.0) {
+      return M_PI + val;
+    } else if ( x < 0.0 && y < 0.0 ) {
+      return - M_PI + val;
+    } else {
+      return val;
+    }
+  }
+}
+
+int main(int argc, char *argv[]) {
+
+  count_t N = (count_t)1e7;
+
+  D_t D = 2;
+  L_t L = 128;
+  double T = 2.26918531421;
+  double *H_vec = (double *)calloc(MAX_Q, sizeof(double));
+
+  bool silent = false;
+  bool use_pert = false;
+  bool N_is_sweeps = false;
+  bool draw = false;
+  unsigned int window_size = 512;
+
+  bool modulated_field = false;
+  unsigned int order = 1;
+
+  int opt;
+  q_t H_ind = 0;
+  double epsilon = 1;
+
+//  unsigned char measurement_flags = measurement_energy | measurement_clusterSize;
+
+  unsigned char measurement_flags = 0;
+
+  while ((opt = getopt(argc, argv, "N:D:L:T:H:spe:mo:M:Sdw:")) != -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_vec[H_ind] = atof(optarg);
+      H_ind++;
+      break;
+    case 's': // don't print anything during simulation. speeds up slightly
+      silent = true;
+      break;
+    case 'p':
+      use_pert = true;
+      break;
+    case 'e':
+      epsilon = atof(optarg);
+      break;
+    case 'm':
+      modulated_field = true;
+      break;
+    case 'M':
+      measurement_flags ^= 1 << atoi(optarg);
+      break;
+    case 'o':
+      order = atoi(optarg);
+      break;
+    case 'S':
+      N_is_sweeps = 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);
+    }
+  }
+
+  unsigned long timestamp;
+
+  {
+    struct timespec spec;
+    clock_gettime(CLOCK_REALTIME, &spec);
+    timestamp = spec.tv_sec*1000000000LL + spec.tv_nsec;
+  }
+
+  const char *pert_type;
+
+  std::function <orthogonal_R_t(gsl_rng *, vector_R_t)> gen_R;
+
+  if (use_pert) {
+    gen_R = [=] (gsl_rng *r, const angle_t& t) -> circle_group_t {
+      circle_group_t rot;
+      rot.is_reflection = true;
+
+      unsigned int x = gsl_rng_uniform_int(r, order);
+      double amount = epsilon * gsl_ran_ugaussian(r);
+
+      rot.x = fmod(2 * M_PI * (1.0 + (double)x / (double)order + amount), 2 * M_PI);
+
+      return rot;
+    };
+    pert_type = "PERTURB";
+  } else {
+    gen_R = [=] (gsl_rng *r, const angle_t& t) -> circle_group_t {
+      circle_group_t rot;
+      rot.is_reflection = true;
+      rot.x = 2 * M_PI * gsl_rng_uniform(r);
+
+      return rot;
+    };
+    pert_type = "UNIFORM";
+  }
+
+  FILE *outfile_info = fopen("wolff_metadata.txt", "a");
+
+  fprintf(outfile_info, "<| \"ID\" -> %lu, \"MODEL\" -> \"%s\", \"q\" -> %d, \"D\" -> %" PRID ", \"L\" -> %" PRIL ", \"NV\" -> %" PRIv ", \"NE\" -> %" PRIv ", \"T\" -> %.15f, \"FIELD_TYPE\" -> ", timestamp, ON_strings[2], 2, D, L, (v_t)pow(L, D), D * (v_t)pow(L, D), T);
+  if (modulated_field) {
+    fprintf(outfile_info, "\"MODULATED\", \"ORDER\" -> %d, \"H\" -> %.15f, ", order, H_vec[0]);
+  } else {
+    fprintf(outfile_info, "\"VECTOR\", \"H\" -> {");
+    for (q_t i = 0; i < 2; i++) {
+      fprintf(outfile_info, "%.15f", H_vec[i]);
+      if (i < 2 - 1) {
+        fprintf(outfile_info, ", ");
+      }
+    }
+    fprintf(outfile_info, "}, ");
+  }
+
+  fprintf(outfile_info, "\"GENERATOR\" -> \"%s\"", pert_type);
+
+  if (use_pert) {
+    fprintf(outfile_info, ", \"EPS\" -> %g", epsilon);
+  }
+
+  fprintf(outfile_info, " |>\n");
+
+  fclose(outfile_info);
+
+  FILE **outfiles = measure_setup_files(measurement_flags, timestamp);
+
+  std::function <void(const On_t *)> other_f;
+  uint64_t sum_of_clusterSize = 0;
+
+  if (N_is_sweeps) {
+    other_f = [&] (const On_t *s) {
+      sum_of_clusterSize += s->last_cluster_size;
+    };
+  } else if (draw) {
+#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);
+
+    other_f = [&] (const On_t *s) {
+      glClear(GL_COLOR_BUFFER_BIT);
+      for (v_t i = 0; i < pow(L, 2); i++) {
+        vector_R_t v_tmp = s->R.act_inverse(s->spins[i]);
+        double saturation = 0.7;
+        double value = 0.9;
+        double chroma = saturation * value;
+        glColor3f(chroma * hue_to_R(v_tmp.x) + (value - chroma), chroma * hue_to_G(v_tmp.x) + (value - chroma), chroma * hue_to_B(v_tmp.x) + (value - chroma));
+        glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
+      }
+      glFlush();
+    };
+#endif
+  } else {
+    other_f = [] (const On_t *s) {};
+  }
+
+  std::function <void(const On_t *)> measurements = measure_function_write_files(measurement_flags, outfiles, other_f);
+
+  std::function <double(const angle_t&, const angle_t&)> J = [] (const angle_t& t1, const angle_t& t2) -> double {
+    return cos(t1.x - t2.x);
+  };
+
+  std::function <double(const angle_t &)> H;
+
+  if (modulated_field) {
+    H = [=] (const angle_t& t) -> double {
+      return H_vec[0] * cos(order * t.x);
+    };
+  } else {
+    double mag = 0;
+    for (q_t i = 0; i < 2; i++) {
+      mag += pow(H_vec[i], 2);
+    }
+    mag = sqrt(mag);
+    double t0 = theta(H_vec);
+    H = [=] (const angle_t& t) -> double {
+      return mag * cos(t0 + t.x);
+    };
+  }
+
+  // initialize random number generator
+  gsl_rng *r = gsl_rng_alloc(gsl_rng_taus2);
+  gsl_rng_set(r, rand_seed());
+
+  state_t <orthogonal_R_t, vector_R_t> s(D, L, T, J, H);
+
+  if (N_is_sweeps) {
+    count_t N_rounds = 0;
+    printf("\n");
+    while (sum_of_clusterSize < N * s.nv) {
+      printf("\033[F\033[J\033[F\033[JWOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, S = %" PRIv "\n", (count_t)((double)sum_of_clusterSize / (double)s.nv), N, s.E, s.last_cluster_size);
+      wolff <orthogonal_R_t, vector_R_t> (N, &s, gen_R, measurements, r, silent);
+      N_rounds++;
+    }
+    printf("\033[F\033[J\033[F\033[JWOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, S = %" PRIv "\n\n", (count_t)((double)sum_of_clusterSize / (double)s.nv), N, s.E, s.last_cluster_size);
+  } else {
+    wolff <orthogonal_R_t, vector_R_t> (N, &s, gen_R, measurements, r, silent);
+  }
+
+  measure_free_files(measurement_flags, outfiles);
+  free(H_vec);
+  gsl_rng_free(r);
+
+  return 0;
+}
+