#include #include int main(int argc, char *argv[]) { L_t L = 128; count_t N = (count_t)1e7; count_t min_runs = 10; count_t n = 3; q_t q = 2; D_t D = 2; double T = 2.26918531421; double *J = (double *)calloc(MAX_Q, sizeof(double)); J[0] = 1.0; double *H = (double *)calloc(MAX_Q, sizeof(double)); double eps = 0; bool pretend_ising = false; bool planar_potts = false; bool silent = false; bool snapshots = false; bool snapshot = false; int opt; q_t J_ind = 0; q_t H_ind = 0; while ((opt = getopt(argc, argv, "N:n:D:L:q:T:J:H:m:e:IpsSP")) != -1) { switch (opt) { case 'N': N = (count_t)atof(optarg); break; case 'n': n = (count_t)atof(optarg); break; case 'D': D = atoi(optarg); break; case 'L': L = atoi(optarg); break; case 'q': q = atoi(optarg); break; case 'T': T = atof(optarg); break; case 'J': J[J_ind] = atof(optarg); J_ind++; break; case 'H': H[H_ind] = atof(optarg); H_ind++; break; case 'm': min_runs = atoi(optarg); break; case 'e': eps = atof(optarg); break; case 'I': pretend_ising = true; break; case 'p': planar_potts = true; break; case 's': silent = true; break; case 'S': snapshots = true; break; case 'P': snapshot = true; break; default: exit(EXIT_FAILURE); } } gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937); gsl_rng_set(r, rand_seed()); if (pretend_ising) { q = 2; H[1] = -H[0]; J[1] = -J[0]; } if (planar_potts) { for (q_t i = 0; i < q; i++) { J[i] = cos(2 * M_PI * i / ((double)q)); } } ising_state_t *s = (ising_state_t *)calloc(1, sizeof(ising_state_t)); graph_t *h = graph_create_square(D, L); s->g = graph_add_ext(h); s->q = q; s->spins = (q_t *)calloc(h->nv, sizeof(q_t)); s->T = T; s->H = H; s->J = J; s->R = (dihedral_t *)calloc(1, sizeof(dihedral_t)); s->J_probs = (double *)calloc(pow(q, 2), sizeof(double)); for (q_t i = 0; i < q; i++) { for (q_t j = 0; j < q; j++) { s->J_probs[q * i + j] = 1.0 - exp((s->J[i] - s->J[j]) / T); } } s->H_probs = (double *)calloc(pow(q, 2), sizeof(double)); for (q_t i = 0; i < q; i++) { for (q_t j = 0; j < q; j++) { s->H_probs[q * i + j] = 1.0 - exp((s->H[i] - s->H[j]) / T); } } s->M = (v_t *)calloc(q, sizeof(v_t)); s->M[0] = h->nv; s->E = - ((double)h->ne) * s->J[0] - ((double)h->nv) * s->H[0]; double diff = 1e31; count_t n_runs = 0; meas_t *E, *clust, **M, **sE, ***sM, **lifetimes; M = (meas_t **)malloc(q * sizeof(meas_t *)); lifetimes = (meas_t **)malloc(q * sizeof(meas_t *)); for (q_t i = 0; i < q; i++) { M[i] = (meas_t *)calloc(1, sizeof(meas_t)); lifetimes[i] = (meas_t *)calloc(1, sizeof(meas_t)); } E = calloc(1, sizeof(meas_t)); clust = calloc(1, sizeof(meas_t)); sE = (meas_t **)malloc(q * sizeof(meas_t *)); sM = (meas_t ***)malloc(q * sizeof(meas_t **)); for (q_t i = 0; i < q; i++) { sE[i] = (meas_t *)calloc(1, sizeof(meas_t)); sM[i] = (meas_t **)malloc(q * sizeof(meas_t *)); for (q_t j = 0; j < q; j++) { sM[i][j] = (meas_t *)calloc(1, sizeof(meas_t)); } } count_t *freqs = (count_t *)calloc(q, sizeof(count_t)); count_t lifetime_n = 0; q_t cur_M = 0; if (!silent) printf("\n"); while (((diff > eps || diff != diff) && n_runs < N) || n_runs < min_runs) { if (!silent) printf("\033[F\033[JWOLFF: sweep %" PRIu64 ", dH/H = %.4f, dM/M = %.4f, dC/C = %.4f, dX/X = %.4f, cps: %.1f\n", n_runs, fabs(E->dx / E->x), M[0]->dx / M[0]->x, E->dc / E->c, M[0]->dc / M[0]->c, h->nv / clust->x); count_t n_flips = 0; q_t max_M_i; v_t max_M; q_t n_at_max; while (n_flips / h->nv < n) { v_t v0 = gsl_rng_uniform_int(r, h->nv); q_t step; if (q == 2) { step = 1; } else { step = gsl_rng_uniform_int(r, q); } v_t tmp_flips = flip_cluster(s, v0, step, r); n_flips += tmp_flips; max_M_i = 0; max_M = 0; n_at_max = 0; for (q_t i = 0; i < q; i++) { if (s->M[i] > max_M) { max_M = s->M[i]; max_M_i = i; n_at_max = 1; } else if (s->M[i] == max_M) { n_at_max++; } } if (n_at_max == 1) { if (max_M_i == cur_M) { lifetime_n++; } else { if (cur_M != MAX_Q) { update_meas(lifetimes[cur_M], lifetime_n); } lifetime_n = 0; cur_M = max_M_i; } } else { if (cur_M != MAX_Q) { update_meas(lifetimes[cur_M], lifetime_n); cur_M = MAX_Q; } } update_meas(clust, tmp_flips); if (snapshots) { FILE *snapfile = fopen("snapshots.m", "a"); fprintf(snapfile, "{{"); for (L_t i = 0; i < L; i++) { fprintf(snapfile, "{"); for (L_t j = 0; j < L; j++) { fprintf(snapfile, "%" PRIq, dihedral_inverse_act(q, s->R, s->spins[L * i + j])); if (j != L - 1) { fprintf(snapfile, ","); } } fprintf(snapfile, "}"); if (i != L - 1) { fprintf(snapfile, ","); } } fprintf(snapfile, "},{%" PRIq ",%d}} ", s->R->i, s->R->r); fclose(snapfile); } } for (q_t i = 0; i < q; i++) { update_meas(M[i], s->M[i]); } update_meas(E, s->E); if (n_at_max == 1) { for (q_t i = 0; i < q; i++) { update_meas(sM[max_M_i][i], s->M[i]); } update_meas(sE[max_M_i], s->E); freqs[max_M_i]++; } diff = fabs(sM[0][0]->dc / sM[0][0]->c); n_runs++; } if (!silent) { printf("\033[F\033[J"); } printf("WOLFF: sweep %" PRIu64 ", dH/H = %.4f, dM/M = %.4f, dC/C = %.4f, dX/X = %.4f, cps: %.1f\n", n_runs, fabs(E->dx / E->x), M[0]->dx / M[0]->x, E->dc / E->c, M[0]->dc / M[0]->c, h->nv / clust->x); if (snapshots) { FILE *snapfile = fopen("snapshots.m", "a"); fprintf(snapfile, "\n"); } if (snapshot) { FILE *snapfile = fopen("snapshot.m", "a"); fprintf(snapfile, "{{"); for (L_t i = 0; i < L; i++) { fprintf(snapfile, "{"); for (L_t j = 0; j < L; j++) { fprintf(snapfile, "%" PRIq, dihedral_inverse_act(q, s->R, s->spins[L * i + j])); if (j != L - 1) { fprintf(snapfile, ","); } } fprintf(snapfile, "}"); if (i != L - 1) { fprintf(snapfile, ","); } } fprintf(snapfile, "},{%" PRIq ",%d}}\n", s->R->i, s->R->r); fclose(snapfile); } FILE *outfile = fopen("out.m", "a"); fprintf(outfile, "<|D->%" PRID ",L->%" PRIL ",q->%" PRIq ",T->%.15f,J->{", D, L, q, T); for (q_t i = 0; i < q; i++) { fprintf(outfile, "%.15f", J[i]); if (i != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},H->{"); for (q_t i = 0; i < q; i++) { fprintf(outfile, "%.15f", H[i]); if (i != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},E->%.15f,\\[Delta]E->%.15f,C->%.15f,\\[Delta]C->%.15f,M->{", E->x / h->nv, E->dx / h->nv, E->c / h->nv, E->dc / h->nv); for (q_t i = 0; i < q; i++) { fprintf(outfile, "%.15f", M[i]->x / h->nv); if (i != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},\\[Delta]M->{"); for (q_t i = 0; i < q; i++) { fprintf(outfile, "%.15f", M[i]->dx / h->nv); if (i != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},\\[Chi]->{"); for (q_t i = 0; i < q; i++) { fprintf(outfile, "%.15f", M[i]->c / h->nv); if (i != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},\\[Delta]\\[Chi]->{"); for (q_t i = 0; i < q; i++) { fprintf(outfile, "%.15f", M[i]->dc / h->nv); if (i != q-1) { fprintf(outfile, ","); } } for (q_t i = 0; i < q; i++) { fprintf(outfile, "},Subscript[E,%" PRIq "]->%.15f,Subscript[\\[Delta]E,%" PRIq "]->%.15f,Subscript[C,%" PRIq "]->%.15f,Subscript[\\[Delta]C,%" PRIq "]->%.15f,Subscript[M,%" PRIq "]->{", i, sE[i]->x / h->nv, i, sE[i]->dx / h->nv, i, sE[i]->c / h->nv, i, sE[i]->dc / h->nv, i); for (q_t j = 0; j < q; j++) { fprintf(outfile, "%.15f", sM[i][j]->x / h->nv); if (j != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},Subscript[\\[Delta]M,%" PRIq "]->{", i); for (q_t j = 0; j < q; j++) { fprintf(outfile, "%.15f", sM[i][j]->dx / h->nv); if (j != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},Subscript[\\[Chi],%" PRIq "]->{", i); for (q_t j = 0; j < q; j++) { fprintf(outfile, "%.15f", sM[i][j]->c / h->nv); if (j != q-1) { fprintf(outfile, ","); } } fprintf(outfile, "},Subscript[\\[Delta]\\[Chi],%" PRIq "]->{", i); for (q_t j = 0; j < q; j++) { fprintf(outfile, "%.15f", sM[i][j]->dc / h->nv); if (j != q-1) { fprintf(outfile, ","); } } } fprintf(outfile,"}"); for (q_t i = 0; i < q; i++) { fprintf(outfile, ",Subscript[f,%" PRIq "]->%.15f,Subscript[\\[Delta]f,%" PRIq "]->%.15f", i, (double)freqs[i] / (double)n_runs, i, sqrt(freqs[i]) / (double)n_runs); } for (q_t i = 0; i < q; i++) { fprintf(outfile, ",Subscript[t,%" PRIq "]->%.15f,Subscript[\\[Delta]t,%" PRIq "]->%.15f", i, lifetimes[i]->x, i, lifetimes[i]->dx); } fprintf(outfile, ",Subscript[n,\"clust\"]->%.15f,Subscript[\\[Delta]n,\"clust\"]->%.15f|>\n", clust->x / h->nv, clust->dx / h->nv); fclose(outfile); free(E); free(clust); for (q_t i = 0; i < q; i++) { free(M[i]); for (q_t j = 0; j < q; j++) { free(sM[i][j]); } free(sM[i]); } free(M); free(sM); for (q_t i = 0; i < q; i++) { free(sE[i]); free(lifetimes[i]); } free(lifetimes); free(freqs); free(sE); free(s->H_probs); free(s->J_probs); free(s->M); free(s->spins); free(s->R); graph_free(s->g); free(s); free(H); free(J); graph_free(h); gsl_rng_free(r); return 0; }