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#include "queue.h"
#include "wolff.h"
int32_t sign(double x) {
return x > 0 ? 1 : -1;
}
graph_t *graph_add_ext(const graph_t *g) {
graph_t *h = (graph_t *)calloc(1, sizeof(graph_t));
h->nv = g->nv + 1;
h->ne = g->ne + g->nv;
h->ev = (uint32_t *)malloc(2 * h->ne * sizeof(uint32_t));
h->vei = (uint32_t *)malloc((h->nv + 1) * sizeof(uint32_t));
h->ve = (uint32_t *)malloc(2 * h->ne * sizeof(uint32_t));
h->vx = (double *)malloc(2 * h->nv * sizeof(double));
h->bq = (bool *)malloc(h->nv * sizeof(bool));
memcpy(h->ev, g->ev, 2 * g->ne * sizeof(uint32_t));
memcpy(h->vx, g->vx, 2 * g->nv * sizeof(double));
memcpy(h->bq, g->bq, g->nv * sizeof(bool));
h->vx[2 * g->nv] = -1;
h->vx[2 * g->nv + 1] = -0.5;
h->bq[g->nv] = false;
for (uint32_t i = 0; i < g->nv; i++) {
h->ev[2 * g->ne + 2 * i] = i;
h->ev[2 * g->ne + 2 * i + 1] = g->nv;
}
for (uint32_t i = 0; i < g->nv; i++) {
h->vei[i] = g->vei[i] + i;
for (uint32_t j = 0; j < g->vei[i + 1] - g->vei[i]; j++) {
h->ve[h->vei[i] + j] = g->ve[g->vei[i] + j];
}
h->ve[h->vei[i] + g->vei[i + 1] - g->vei[i]] = g->ne + i;
}
h->vei[g->nv] = g->vei[g->nv] + g->nv;
h->vei[g->nv + 1] = h->vei[g->nv] + g->nv;
for (uint32_t i = 0; i < g->nv; i++) {
h->ve[h->vei[g->nv] + i] = g->ne + i;
}
return h;
}
cluster_t *flip_cluster(const graph_t *g, const double *ps, bool *x,
gsl_rng *r) {
uint32_t v0;
int32_t n_h_bonds, n_bonds;
bool x0;
cluster_t *c;
v0 = gsl_rng_uniform_int(r, g->nv); // pick a random vertex
x0 = x[v0]; // record its orientation
ll_t *stack = NULL; // create a new stack
stack_push(&stack, v0); // push the initial vertex to the stack
// initiate the data structure for returning flip information
c = (cluster_t *)calloc(1, sizeof(cluster_t));
while (stack != NULL) {
uint32_t v;
uint32_t nn;
v = stack_pop(&stack);
nn = g->vei[v + 1] - g->vei[v];
if (x[v] == x0) { // if the vertex hasn't already been flipped
x[v] = !x[v]; // flip the vertex
for (uint32_t i = 0; i < nn; i++) {
bool is_ext;
uint32_t e, v1, v2, vn;
int32_t *bond_counter;
double prob;
e = g->ve[g->vei[v] + i]; // select the ith bond connected to site
v1 = g->ev[2 * e];
v2 = g->ev[2 * e + 1];
vn = v == v1 ? v2 : v1; // distinguish neighboring site from site itself
is_ext = (v1 == g->nv - 1 || v2 == g->nv - 1);
bond_counter = is_ext ? &(c->dHb) : &(c->dJb);
prob = is_ext ? ps[1] : ps[0];
if (x[vn] ==
x0) { // if the neighboring site matches the flipping cluster...
(*bond_counter)++;
if (gsl_rng_uniform(r) < prob) { // and with probability ps[e]...
stack_push(&stack, vn); // push the neighboring vertex to the stack
}
} else {
(*bond_counter)--;
}
}
if (v != g->nv - 1) { // count the number of non-external sites that flip
c->nv++;
}
}
}
return c;
}
uint32_t wolff_step(double T, double H, ising_state_t *s, gsl_rng *r,
double *ps) {
bool no_r, no_ps;
no_r = false;
no_ps = false;
if (r == NULL) {
no_r = true;
r = gsl_rng_alloc(gsl_rng_mt19937);
gsl_rng_set(r, jst_rand_seed());
}
if (ps == NULL) {
no_ps = true;
ps = (double *)malloc(2 * sizeof(double));
ps[0] = 1 - exp(-2 / T);
ps[1] = 1 - exp(-2 * fabs(H) / T);
}
cluster_t *c = flip_cluster(s->g, ps, s->spins, r);
s->M += - sign(H) * 2 * c->dHb;
s->H += 2 * (c->dJb + sign (H) * H * c->dHb);
uint32_t n_flips = c->nv;
free(c);
if (no_ps) {
free(ps);
}
if (no_r) {
gsl_rng_free(r);
}
return n_flips;
}
double add_to_avg(double mx, double x, uint64_t n) {
return mx * (n / (n + 1.)) + x * 1. / (n + 1.);
}
void update_meas(meas_t *m, double x) {
uint64_t n = m->n;
m->x = add_to_avg(m->x, x, n);
m->x2 = add_to_avg(m->x2, pow(x, 2), n);
m->m2 = add_to_avg(m->m2, pow(x - m->x, 2), n);
m->m4 = add_to_avg(m->m4, pow(x - m->x, 4), n);
if (n > 1) {
double s2 = n / (n - 1.) * (m->x2 - pow(m->x, 2));
m->dx = sqrt(s2 / n);
m->c = s2;
m->dc = sqrt((m->m4 - (n - 3.)/(n - 1.) * pow(m->m2, 2)) / n);
}
(m->n)++;
}
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