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-rw-r--r--src/wolff_potts.c99
-rw-r--r--src/wolff_vector.c87
2 files changed, 161 insertions, 25 deletions
diff --git a/src/wolff_potts.c b/src/wolff_potts.c
index b525e0b..845eeca 100644
--- a/src/wolff_potts.c
+++ b/src/wolff_potts.c
@@ -21,12 +21,15 @@ int main(int argc, char *argv[]) {
bool silent = false;
bool snapshots = false;
bool snapshot = false;
+ bool record_autocorrelation = false;
+ count_t W = 10;
+ count_t ac_skip = 1;
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) {
+ while ((opt = getopt(argc, argv, "N:n:D:L:q:T:J:H:m:e:IpsSPak:W:")) != -1) {
switch (opt) {
case 'N':
N = (count_t)atof(optarg);
@@ -75,6 +78,15 @@ int main(int argc, char *argv[]) {
case 'P':
snapshot = true;
break;
+ case 'a':
+ record_autocorrelation = true;
+ break;
+ case 'k':
+ ac_skip = (count_t)atof(optarg);
+ break;
+ case 'W':
+ W = (count_t)atof(optarg);
+ break;
default:
exit(EXIT_FAILURE);
}
@@ -128,6 +140,7 @@ int main(int argc, char *argv[]) {
double diff = 1e31;
count_t n_runs = 0;
+ count_t n_steps = 0;
meas_t *E, *clust, **M, **sE, ***sM, **lifetimes;
@@ -156,6 +169,13 @@ int main(int argc, char *argv[]) {
count_t lifetime_n = 0;
q_t cur_M = 0;
+ autocorr_t *autocorr;
+ if (record_autocorrelation) {
+ autocorr = (autocorr_t *)calloc(1, sizeof(autocorr_t));
+ autocorr->W = 2 * W + 1;
+ autocorr->OO = (double *)calloc(2 * W + 1, sizeof(double));
+ }
+
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
@@ -212,26 +232,15 @@ int main(int argc, char *argv[]) {
}
}
- update_meas(clust, tmp_flips);
+ if (n_runs > 0) {
+ n_steps++;
+ update_meas(clust, (double)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, ",");
- }
+ if (record_autocorrelation && n_runs > 0) {
+ if (n_steps % ac_skip == 0) {
+ update_autocorr(autocorr, s->E);
}
- fprintf(snapfile, "},{%" PRIq ",%d}} ", s->R->i, s->R->r);
- fclose(snapfile);
}
}
@@ -284,6 +293,56 @@ int main(int argc, char *argv[]) {
fclose(snapfile);
}
+ double tau = 0;
+ bool tau_failed = false;
+
+ if (record_autocorrelation) {
+ double *Gammas = (double *)malloc((W + 1) * sizeof(double));
+
+ Gammas[0] = 1 + rho(autocorr, 0);
+ for (uint64_t i = 0; i < W; i++) {
+ Gammas[1 + i] = rho(autocorr, 2 * i + 1) + rho(autocorr, 2 * i + 2);
+ }
+
+ uint64_t n;
+ for (n = 0; n < W + 1; n++) {
+ if (Gammas[n] <= 0) {
+ break;
+ }
+ }
+
+ if (n == W + 1) {
+ printf("WARNING: correlation function never hit the noise floor.\n");
+ tau_failed = true;
+ }
+
+ if (n < 2) {
+ printf("WARNING: correlation function only has one nonnegative term.\n");
+ tau_failed = true;
+ }
+
+ double *conv_Gamma = get_convex_minorant(n, Gammas);
+
+ double ttau = - 0.5;
+
+ for (uint64_t i = 0; i < n + 1; i++) {
+ ttau += conv_Gamma[i];
+ }
+
+ free(Gammas);
+ free(autocorr->OO);
+ while (autocorr->Op != NULL) {
+ stack_pop_d(&(autocorr->Op));
+ }
+ free(autocorr);
+
+ tau = ttau * ac_skip * clust->x / h->nv;
+ }
+
+ if (tau_failed) {
+ tau = 0;
+ }
+
FILE *outfile = fopen("out.m", "a");
fprintf(outfile, "<|D->%" PRID ",L->%" PRIL ",q->%" PRIq ",T->%.15f,J->{", D, L, q, T);
@@ -365,7 +424,7 @@ int main(int argc, char *argv[]) {
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);
+ fprintf(outfile, ",Subscript[n,\"clust\"]->%.15f,Subscript[\\[Delta]n,\"clust\"]->%.15f,Subscript[m,\"clust\"]->%.15f,Subscript[\\[Delta]m,\"clust\"]->%.15f,\\[tau]->%.15f|>\n", clust->x / h->nv, clust->dx / h->nv, clust->c / h->nv, clust->dc / h->nv,tau);
fclose(outfile);
diff --git a/src/wolff_vector.c b/src/wolff_vector.c
index bbfc4da..b1584e6 100644
--- a/src/wolff_vector.c
+++ b/src/wolff_vector.c
@@ -47,11 +47,14 @@ int main(int argc, char *argv[]) {
double *H = (double *)calloc(MAX_Q, sizeof(double));
double eps = 0;
bool silent = false;
+ bool record_autocorrelation = false;
+ count_t ac_skip = 1;
+ count_t W = 10;
int opt;
q_t H_ind = 0;
- while ((opt = getopt(argc, argv, "N:n:D:L:q:T:H:m:e:s")) != -1) {
+ while ((opt = getopt(argc, argv, "N:n:D:L:q:T:H:m:e:saS:W:")) != -1) {
switch (opt) {
case 'N':
N = (count_t)atof(optarg);
@@ -84,6 +87,15 @@ int main(int argc, char *argv[]) {
case 's':
silent = true;
break;
+ case 'a':
+ record_autocorrelation = true;
+ break;
+ case 'S':
+ ac_skip = (count_t)atof(optarg);
+ break;
+ case 'W':
+ W = (count_t)atof(optarg);
+ break;
default:
exit(EXIT_FAILURE);
}
@@ -120,10 +132,9 @@ int main(int argc, char *argv[]) {
s->M[0] = 1.0 * (double)h->nv;
s->E = - ((double)h->ne) * s->J(1.0) - s->H(s->n, s->H_info, s->M);
- printf("%g %g\n", s->E, s->M[0]);
-
double diff = 1e31;
count_t n_runs = 0;
+ count_t n_steps = 0;
meas_t *E, *clust, **M;
@@ -135,6 +146,13 @@ int main(int argc, char *argv[]) {
E = calloc(1, sizeof(meas_t));
clust = calloc(1, sizeof(meas_t));
+ autocorr_t *autocorr;
+ if (record_autocorrelation) {
+ autocorr = (autocorr_t *)calloc(1, sizeof(autocorr_t));
+ autocorr->W = 2 * W + 1;
+ autocorr->OO = (double *)calloc(2 * W + 1, sizeof(double));
+ }
+
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
@@ -151,7 +169,16 @@ int main(int argc, char *argv[]) {
free(step);
n_flips += tmp_flips;
- update_meas(clust, tmp_flips);
+ if (n_runs > 0) {
+ n_steps++;
+ update_meas(clust, tmp_flips);
+ }
+
+ if (record_autocorrelation && n_runs > 0) {
+ if (n_steps % ac_skip == 0) {
+ update_autocorr(autocorr, s->E);
+ }
+ }
}
for (q_t i = 0; i < q; i++) {
@@ -170,6 +197,56 @@ int main(int argc, char *argv[]) {
", 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);
+ double tau = 0;
+ bool tau_failed = false;
+
+ if (record_autocorrelation) {
+ double *Gammas = (double *)malloc((W + 1) * sizeof(double));
+
+ Gammas[0] = 1 + rho(autocorr, 0);
+ for (uint64_t i = 0; i < W; i++) {
+ Gammas[1 + i] = rho(autocorr, 2 * i + 1) + rho(autocorr, 2 * i + 2);
+ }
+
+ uint64_t n;
+ for (n = 0; n < W + 1; n++) {
+ if (Gammas[n] <= 0) {
+ break;
+ }
+ }
+
+ if (n == W + 1) {
+ printf("WARNING: correlation function never hit the noise floor.\n");
+ tau_failed = true;
+ }
+
+ if (n < 2) {
+ printf("WARNING: correlation function only has one nonnegative term.\n");
+ tau_failed = true;
+ }
+
+ double *conv_Gamma = get_convex_minorant(n, Gammas);
+
+ double ttau = - 0.5;
+
+ for (uint64_t i = 0; i < n + 1; i++) {
+ ttau += conv_Gamma[i];
+ }
+
+ free(Gammas);
+ free(autocorr->OO);
+ while (autocorr->Op != NULL) {
+ stack_pop_d(&(autocorr->Op));
+ }
+ free(autocorr);
+
+ tau = ttau * ac_skip * clust->x / h->nv;
+ }
+
+ if (tau_failed) {
+ tau = 0;
+ }
+
FILE *outfile = fopen("out.m", "a");
fprintf(outfile, "<|D->%" PRID ",L->%" PRIL ",q->%" PRIq ",T->%.15f", D, L, q, T);
@@ -201,7 +278,7 @@ int main(int argc, char *argv[]) {
fprintf(outfile, ",");
}
}
- fprintf(outfile, "}|>\n");
+ fprintf(outfile, "},Subscript[n,\"clust\"]->%.15f,Subscript[\\[Delta]n,\"clust\"]->%.15f,Subscript[m,\"clust\"]->%.15f,Subscript[\\[Delta]m,\"clust\"]->%.15f,\\[tau]->%.15f|>\n", clust->x / h->nv, clust->dx / h->nv, clust->c / h->nv, clust->dc / h->nv,tau);
fclose(outfile);