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-rw-r--r--src/pt_wolff.c317
-rw-r--r--src/wolff.c140
-rw-r--r--src/wolff.h52
3 files changed, 84 insertions, 425 deletions
diff --git a/src/pt_wolff.c b/src/pt_wolff.c
deleted file mode 100644
index 128b601..0000000
--- a/src/pt_wolff.c
+++ /dev/null
@@ -1,317 +0,0 @@
-
-#include "wolff.h"
-
-#define TC 2. / log(1. + sqrt(2.))
-
-int main(int argc, char *argv[]) {
- int opt;
- bool use_scho, use_rand_ini;
- lattice_t lat;
- uint16_t L;
- uint32_t n_temps;
- uint64_t N;
- double Tin, Hin, eps, dT, dH;
-
- L = 128;
- N = 1000;
- lat = SQUARE_LATTICE;
- Tin = 2.3;
- Hin = 0;
- eps = 1e30;
- use_scho = false;
- use_rand_ini = false;
- dT = 0;
- dH = 1;
- n_temps = 1;
-
- while ((opt = getopt(argc, argv, "N:L:q:T:H:e:St:h:n:r")) != -1) {
- switch (opt) {
- case 'S':
- use_scho = true;
- break;
- case 'r':
- use_rand_ini = true;
- break;
- case 'N':
- N = (uint64_t)atof(optarg);
- break;
- case 'L':
- L = atoi(optarg);
- break;
- case 'T':
- Tin = atof(optarg);
- break;
- case 'H':
- Hin = atof(optarg);
- break;
- case 't':
- dT = atof(optarg);
- break;
- case 'h':
- dH = atof(optarg);
- break;
- case 'n':
- n_temps = atoi(optarg);
- break;
- case 'e':
- eps= atof(optarg);
- break;
- default:
- exit(EXIT_FAILURE);
- }
- }
-
- gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937);
- gsl_rng_set(r, jst_rand_seed());
-
- graph_t *g = graph_create(lat, TORUS_BOUND, L, false);
-
- double *Ts = (double *)malloc(n_temps * sizeof(double));
- double *Hs = (double *)malloc(n_temps * sizeof(double));
- double *Tins = (double *)malloc(n_temps * sizeof(double));
- double *Hins = (double *)malloc(n_temps * sizeof(double));
-
- for (uint32_t i = 0; i < n_temps; i++) {
- double T, H;
-
- // if Schofield coordinates are used, T and H are treated as R and theta.
- if (use_scho) {
- double R = Tin; double th = Hin;
- double t = R * (1 - pow(th, 2));
- T = TC / (1 - t);
- double h0 = 0.940647;
- double h = h0 * pow(R, 15. / 8.) * hh(th);
- H = h * T;
- } else {
- T = Tin;
- H = Hin;
- }
-
- Tins[i] = Tin;
- Hins[i] = Hin;
-
- Ts[i] = T;
- Hs[i] = H;
-
- Tin += dT;
- if (use_scho) {
- Hin = 1.08144 - (1.08144 - Hin) / dH;
- } else {
- Hin = Hin / dH;
- }
- }
-
- bool **xs = (bool **)malloc(n_temps * sizeof(bool *));
- for (uint32_t i = 0; i < n_temps; i++) {
- xs[i] = (bool *)calloc(g->nv, sizeof(bool));
- }
-
- if (use_rand_ini) {
- for (uint32_t j = 0; j < n_temps; j++) {
- for (uint32_t i = 0; i < g->nv; i++) {
- xs[j][i] = gsl_rng_uniform_int(r, 2);
- }
- }
- }
-
- int32_t *Ms = (int32_t *)calloc(n_temps, sizeof(int32_t));
- for (uint32_t j = 0; j < n_temps; j++) {
- if (use_rand_ini) {
- for (uint32_t i = 0; i < g->nv; i++) {
- if (xs[j][i]) {
- Ms[j]++;
- } else {
- Ms[j]--;
- }
- }
- } else {
- Ms[j] = -g->nv;
- }
- }
-
- double *Es = (double *)malloc(n_temps * sizeof(double));
- for (uint32_t i = 0; i < n_temps; i++) {
- Es[i] = get_hamiltonian(g, Hs[i], xs[i]);
- }
-
- double *ps = (double *)malloc(n_temps * sizeof(double));
- for (uint32_t i = 0; i < n_temps; i++) {
- ps[i] = 1 - exp(-2 / Ts[i]);
- }
-
- double *E1s = (double *)calloc(n_temps, sizeof(double));
- double *E2s = (double *)calloc(n_temps, sizeof(double));
- double *E4s = (double *)calloc(n_temps, sizeof(double));
-
- double *M1s = (double *)calloc(n_temps, sizeof(double));
- double *M2s = (double *)calloc(n_temps, sizeof(double));
- double *M4s = (double *)calloc(n_temps, sizeof(double));
-
- double *tE1s = (double *)calloc(n_temps, sizeof(double));
- double *tE2s = (double *)calloc(n_temps, sizeof(double));
- double *tE4s = (double *)calloc(n_temps, sizeof(double));
-
- double *tM1s = (double *)calloc(n_temps, sizeof(double));
- double *tM2s = (double *)calloc(n_temps, sizeof(double));
- double *tM4s = (double *)calloc(n_temps, sizeof(double));
-
- uint64_t n_runs = 0;
-
- double diff = 1e30;
-
- printf("\n");
- while (diff > eps) {
- printf("\033[F\033[JWOLFF: sweep %llu, %g\n", n_runs, diff);
-
- for (uint32_t j = 0; j < n_temps; j++) {
- tE1s[j] = 0;
- tE2s[j] = 0;
- tE4s[j] = 0;
- tM1s[j] = 0;
- tM2s[j] = 0;
- tM4s[j] = 0;
- }
-
- for (uint64_t i = 0; i < N; i++) {
-#pragma omp parallel for
- for (uint32_t j = 0; j < n_temps; j++) {
- cluster_t *c = get_cluster(g, xs[j], ps[j], r);
- double dHex = 0;
- double s;
-
- if (xs[j][c->vi->x]) {
- s = 1;
- } else {
- s = -1;
- }
-
- dHex = s * Hs[j] * c->nv;
-
- if (gsl_rng_uniform(r) < exp(-2 * dHex / Ts[j])) {
- while (c->vi != NULL) {
- uint32_t v = queue_del(&(c->vi));
- xs[j][v] = !xs[j][v];
- }
- Es[j] += 2 * c->nb + dHex;
- Ms[j] -= 2 * s * c->nv;
- } else {
- while (c->vi != NULL) {
- queue_del(&(c->vi));
- }
- }
-
- tE1s[j] += Es[j];
- tM1s[j] += abs(Ms[j]);
- tE2s[j] += pow(Es[j], 2);
- tM2s[j] += pow(Ms[j], 2);
- tE4s[j] += pow(Es[j], 4);
- tM4s[j] += pow(Ms[j], 4);
-
- free(c);
- }
-
- for (uint32_t j = 0; j < n_temps - 1; j++) {
- if (gsl_rng_uniform(r) < 0.5) {
- if (gsl_rng_uniform(r) < exp((Es[j + 1] - Es[j]) * (1 / Ts[j + 1] - 1 / Ts[j]))) {
- bool *tmp_x = xs[j];
- double tmp_E = Es[j];
- int32_t tmp_M = Ms[j];
-
- xs[j] = xs[j + 1];
- xs[j + 1] = tmp_x;
-
- Es[j] = Es[j + 1];
- Es[j + 1] = tmp_E;
-
- Ms[j] = Ms[j + 1];
- Ms[j + 1] = tmp_M;
- }
- }
- }
- }
-
- for (uint32_t j = 0; j < n_temps; j++) {
- tE1s[j] /= N;
- tM1s[j] /= N;
- tE2s[j] /= N;
- tM2s[j] /= N;
- tE4s[j] /= N;
- tM4s[j] /= N;
-
- if (n_runs > 0) {
- E1s[j] = E1s[j] * ((n_runs - 1.) / n_runs) + tE1s[j] * 1. / n_runs;
- M1s[j] = M1s[j] * ((n_runs - 1.) / n_runs) + tM1s[j] * 1. / n_runs;
- E2s[j] = E2s[j] * ((n_runs - 1.) / n_runs) + tE2s[j] * 1. / n_runs;
- M2s[j] = M2s[j] * ((n_runs - 1.) / n_runs) + tM2s[j] * 1. / n_runs;
- E4s[j] = E4s[j] * ((n_runs - 1.) / n_runs) + tE4s[j] * 1. / n_runs;
- M4s[j] = M4s[j] * ((n_runs - 1.) / n_runs) + tM4s[j] * 1. / n_runs;
- }
- }
-
- if (n_runs > 0) {
- diff = 0;
- for (uint32_t j = 0; j < n_temps; j++) {
- double dd = sqrt(M2s[j] - pow(M1s[j], 2)) / sqrt(N * n_runs);
- double t_diff = dd / M1s[j];
- if (t_diff > diff) diff = t_diff;
- }
- } else {
- diff = 1e30;
- }
-
- n_runs++;
- }
-
- FILE *outfile = fopen("out.dat", "a");
-
- for (uint32_t j = 0; j < n_temps; j++) {
- double C = (E2s[j] - pow(E1s[j], 2)) / pow(Ts[j], 2);
- double X = (M2s[j] - pow(M1s[j], 2)) / Ts[j];
-
- double dE1 = sqrt(E2s[j] - pow(E1s[j], 2)) / sqrt(N * n_runs);
- double dM1 = sqrt(M2s[j] - pow(M1s[j], 2)) / sqrt(N * n_runs);
- double dE2 = sqrt(E4s[j] - pow(E2s[j], 2)) / sqrt(N * n_runs);
- double dM2 = sqrt(M4s[j] - pow(M2s[j], 2)) / sqrt(N * n_runs);
-
- double dC = sqrt(pow(dE2, 2) + pow(2 * E1s[j] * dE1, 2)) / pow(Ts[j], 2);
- double dX = sqrt(pow(dM2, 2) + pow(2 * M1s[j] * dM1, 2)) / Ts[j];
-
- fprintf(outfile, "%u %u %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f\n", L, use_scho, Tins[j], Hins[j], E1s[j] / g->nv, dE1 / g->nv, M1s[j] / g->nv, dM1 / g->nv, C / g->nv, dC / g->nv, X / g->nv, dX / g->nv);
- }
-
- fclose(outfile);
-
- for (uint32_t i = 0; i < n_temps; i++) {
- free(xs[i]);
- }
-
- free(xs);
-
- gsl_rng_free(r);
- graph_free(g);
-
- free(Ts);
- free(Hs);
- free(Es);
- free(Ms);
-
- free(E1s);
- free(E2s);
- free(E4s);
-
- free(M1s);
- free(M2s);
- free(M4s);
-
- free(tE1s);
- free(tE2s);
- free(tE4s);
-
- free(tM1s);
- free(tM2s);
- free(tM4s);
-
-
- return 0;
-}
-
diff --git a/src/wolff.c b/src/wolff.c
index 0c369b7..7675889 100644
--- a/src/wolff.c
+++ b/src/wolff.c
@@ -1,5 +1,5 @@
-#include "wolff.h"
+#include <wolff.h>
int main(int argc, char *argv[]) {
int opt;
@@ -22,55 +22,56 @@ int main(int argc, char *argv[]) {
while ((opt = getopt(argc, argv, "N:L:T:H:m:e:oq:D")) != -1) {
switch (opt) {
- case 'N':
- N = (uint64_t)atof(optarg);
+ case 'N':
+ N = (uint64_t)atof(optarg);
+ break;
+ case 'L':
+ L = atoi(optarg);
+ break;
+ case 'T':
+ T = atof(optarg);
+ break;
+ case 'H':
+ H = atof(optarg);
+ break;
+ case 'm':
+ min_runs = atoi(optarg);
+ break;
+ case 'e':
+ eps = atof(optarg);
+ break;
+ case 'o':
+ output_state = true;
+ break;
+ case 'D':
+ use_dual = true;
+ break;
+ case 'q':
+ lattice_i = atoi(optarg);
+ switch (lattice_i) {
+ case 0:
+ lat = SQUARE_LATTICE;
break;
- case 'L':
- L = atoi(optarg);
+ case 1:
+ lat = DIAGONAL_LATTICE;
break;
- case 'T':
- T = atof(optarg);
+ case 2:
+ lat = TRIANGULAR_LATTICE;
break;
- case 'H':
- H = atof(optarg);
+ case 3:
+ lat = VORONOI_HYPERUNIFORM_LATTICE;
break;
- case 'm':
- min_runs = atoi(optarg);
+ case 4:
+ lat = VORONOI_LATTICE;
break;
- case 'e':
- eps= atof(optarg);
- break;
- case 'o':
- output_state = true;
- break;
- case 'D':
- use_dual = true;
- break;
- case 'q':
- lattice_i = atoi(optarg);
- switch (lattice_i) {
- case 0:
- lat = SQUARE_LATTICE;
- break;
- case 1:
- lat = DIAGONAL_LATTICE;
- break;
- case 2:
- lat = TRIANGULAR_LATTICE;
- break;
- case 3:
- lat = VORONOI_HYPERUNIFORM_LATTICE;
- break;
- case 4:
- lat = VORONOI_LATTICE;
- break;
- default:
- printf("lattice specifier must be 0 (VORONOI_LATTICE), 1 (DIAGONAL_LATTICE), or 2 (VORONOI_HYPERUNIFORM_LATTICE).\n");
- exit(EXIT_FAILURE);
- }
- break;
default:
+ printf("lattice specifier must be 0 (VORONOI_LATTICE), 1 "
+ "(DIAGONAL_LATTICE), or 2 (VORONOI_HYPERUNIFORM_LATTICE).\n");
exit(EXIT_FAILURE);
+ }
+ break;
+ default:
+ exit(EXIT_FAILURE);
}
}
@@ -94,12 +95,26 @@ int main(int argc, char *argv[]) {
double E1, E2, dE1, M1, M2, dM1, C, dC, X, dX, Mmu2, Mmu4, Emu2, Emu4;
double clust_per_sweep = 0;
- E1 = 0; E2 = 0; M1 = 0; M2 = 0; C = 0; dC = 0; X = 0; dX = 0;
- dE1 = 0; dM1 = 0; Mmu2 = 0; Mmu4 = 0; Emu2 = 0; Emu4 = 0;
+ E1 = 0;
+ E2 = 0;
+ M1 = 0;
+ M2 = 0;
+ C = 0;
+ dC = 0;
+ X = 0;
+ dX = 0;
+ dE1 = 0;
+ dM1 = 0;
+ Mmu2 = 0;
+ Mmu4 = 0;
+ Emu2 = 0;
+ Emu4 = 0;
printf("\n");
while (diff > eps || diff == 0. || n_runs < min_runs) {
- printf("\033[F\033[JWOLFF: sweep %lu, dH/H = %.4f, dM/M = %.4f, dC/C = %.4f, dX/X = %.4f, cps: %.1f\n", n_runs, fabs(dE1 / E1), dM1 / M1, dC / C, dX / X, clust_per_sweep);
+ 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(dE1 / E1), dM1 / M1, dC / C, dX / X, clust_per_sweep);
uint32_t n_flips = 0;
uint32_t n_clust = 0;
@@ -114,19 +129,27 @@ int main(int argc, char *argv[]) {
E2 = E2 * (n_runs / (n_runs + 1.)) + pow(s->H, 2) * 1. / (n_runs + 1.);
M2 = M2 * (n_runs / (n_runs + 1.)) + pow(s->M, 2) * 1. / (n_runs + 1.);
- Mmu2 = Mmu2 * (n_runs / (n_runs + 1.)) + pow(s->M - M1, 2) * 1. / (n_runs + 1.);
- Mmu4 = Mmu4 * (n_runs / (n_runs + 1.)) + pow(s->M - M1, 4) * 1. / (n_runs + 1.);
- Emu2 = Emu2 * (n_runs / (n_runs + 1.)) + pow(s->H - E1, 2) * 1. / (n_runs + 1.);
- Emu4 = Emu4 * (n_runs / (n_runs + 1.)) + pow(s->H - E1, 4) * 1. / (n_runs + 1.);
+ Mmu2 = Mmu2 * (n_runs / (n_runs + 1.)) +
+ pow(s->M - M1, 2) * 1. / (n_runs + 1.);
+ Mmu4 = Mmu4 * (n_runs / (n_runs + 1.)) +
+ pow(s->M - M1, 4) * 1. / (n_runs + 1.);
+ Emu2 = Emu2 * (n_runs / (n_runs + 1.)) +
+ pow(s->H - E1, 2) * 1. / (n_runs + 1.);
+ Emu4 = Emu4 * (n_runs / (n_runs + 1.)) +
+ pow(s->H - E1, 4) * 1. / (n_runs + 1.);
if (n_runs > 1) {
double Msigma2 = n_runs / (n_runs - 1) * (M2 - pow(M1, 2));
X = Msigma2 / T;
- dX = sqrt((Mmu4 - (n_runs - 3.) / (n_runs - 1.) * pow(Mmu2, 2)) / n_runs) / T;
+ dX =
+ sqrt((Mmu4 - (n_runs - 3.) / (n_runs - 1.) * pow(Mmu2, 2)) / n_runs) /
+ T;
double Esigma2 = n_runs / (n_runs - 1) * (E2 - pow(E1, 2));
C = Esigma2 / T;
- dC = sqrt((Emu4 - (n_runs - 3.) / (n_runs - 1.) * pow(Emu2, 2)) / n_runs) / T;
+ dC =
+ sqrt((Emu4 - (n_runs - 3.) / (n_runs - 1.) * pow(Emu2, 2)) / n_runs) /
+ T;
dE1 = sqrt(Esigma2 / n_runs);
dM1 = sqrt(Msigma2 / n_runs);
@@ -134,14 +157,20 @@ int main(int argc, char *argv[]) {
diff = fabs(dX / X);
}
- clust_per_sweep = clust_per_sweep * (n_runs / (n_runs + 1.)) + (n_clust * 1. / N) * 1. / (n_runs + 1.);
+ clust_per_sweep = clust_per_sweep * (n_runs / (n_runs + 1.)) +
+ (n_clust * 1. / N) * 1. / (n_runs + 1.);
n_runs++;
}
- printf("\033[F\033[JWOLFF: sweep %lu, dH/H = %.4f, dM/M = %.4f, dC/C = %.4f, dX/X = %.4f, cps: %.1f\n", n_runs, fabs(dE1 / E1), dM1 / M1, dC / C, dX / X, clust_per_sweep);
+ 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(dE1 / E1), dM1 / M1, dC / C, dX / X, clust_per_sweep);
FILE *outfile = fopen("out.dat", "a");
- fprintf(outfile, "%u %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f\n", L, T, H, E1 / h->nv, dE1 / h->nv, M1 / h->nv, dM1 / h->nv, C / h->nv, dC / h->nv, X / h->nv, dX / h->nv);
+ fprintf(outfile,
+ "%u %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f %.15f\n", L,
+ T, H, E1 / h->nv, dE1 / h->nv, M1 / h->nv, dM1 / h->nv, C / h->nv,
+ dC / h->nv, X / h->nv, dX / h->nv);
fclose(outfile);
free(bond_probs);
@@ -164,4 +193,3 @@ int main(int argc, char *argv[]) {
return 0;
}
-
diff --git a/src/wolff.h b/src/wolff.h
deleted file mode 100644
index cec9ee3..0000000
--- a/src/wolff.h
+++ /dev/null
@@ -1,52 +0,0 @@
-
-#include <string.h>
-#include <math.h>
-#include <getopt.h>
-#include <float.h>
-#include <sys/types.h>
-#include <inttypes.h>
-#include <gsl/gsl_randist.h>
-#include <gsl/gsl_rng.h>
-#include <stdbool.h>
-#include <assert.h>
-#include <fftw3.h>
-
-#include <jst/graph.h>
-#include <jst/rand.h>
-
-typedef struct {
- graph_t *g;
- bool *spins;
- int32_t M;
- double H;
-} ising_state_t;
-
-typedef struct ll_tag {
- uint32_t x;
- struct ll_tag *next;
-} ll_t;
-
-typedef struct {
- uint32_t nv;
- double dH;
- int32_t dM;
-} cluster_t;
-
-double get_hamiltonian(graph_t *g, double *coupling, bool *x);
-
-void stack_push(ll_t **q, uint32_t x);
-
-uint32_t stack_pop(ll_t **q);
-
-bool stack_contains(const ll_t *q, uint32_t x);
-
-cluster_t *flip_cluster(const graph_t *g, const double *ps, double H, bool *x, gsl_rng *r);
-
-graph_t *graph_add_ext(const graph_t *g);
-
-double hh(double th);
-
-double *get_bond_probs(double T, double H, ising_state_t *s);
-
-uint32_t wolff_step(double T, double H, ising_state_t *s, gsl_rng *r, double *ps);
-