From 2928df0a4b4be30cde2b11bdcf2698875d5b9536 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 20 Mar 2018 19:06:50 -0400 Subject: new system --- CMakeLists.txt | 4 +- lib/cluster.c | 87 +++++++++++++++++++ lib/cluster.h | 15 ++++ lib/dihinf.c | 28 +++++++ lib/dihinf.h | 17 ++++ lib/types.h | 14 ++-- src/wolff_dgm.c | 247 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ src/wolff_potts.c | 2 +- 8 files changed, 406 insertions(+), 8 deletions(-) create mode 100644 lib/dihinf.c create mode 100644 lib/dihinf.h create mode 100644 src/wolff_dgm.c diff --git a/CMakeLists.txt b/CMakeLists.txt index 3b0de87..1b00bfc 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -10,6 +10,7 @@ link_directories(~/.local/lib) file(GLOB SOURCES lib/*.c) add_executable(wolff_potts src/wolff_potts.c ${SOURCES}) add_executable(wolff_vector src/wolff_vector.c ${SOURCES}) +add_executable(wolff_dgm src/wolff_dgm.c ${SOURCES}) find_package(OpenMP) if (OPENMP_FOUND) @@ -19,6 +20,7 @@ endif() target_link_libraries(wolff_potts gsl m cblas fftw3) target_link_libraries(wolff_vector gsl m cblas fftw3) +target_link_libraries(wolff_dgm gsl m cblas fftw3) -install(TARGETS wolff_potts wolff_vector DESTINATION bin) +install(TARGETS wolff_potts wolff_vector wolff_dgm DESTINATION bin) diff --git a/lib/cluster.c b/lib/cluster.c index c800a0f..fa417fa 100644 --- a/lib/cluster.c +++ b/lib/cluster.c @@ -92,6 +92,93 @@ v_t flip_cluster(ising_state_t *s, v_t v0, q_t rot, gsl_rng *r) { return nv; } +v_t flip_cluster_dgm(dgm_state_t *s, v_t v0, h_t rot, gsl_rng *r) { + v_t nv = 0; + + ll_t *stack = NULL; // create a new stack + stack_push(&stack, v0); // push the initial vertex to the stack + + bool *marks = (bool *)calloc(s->g->nv, sizeof(bool)); + + while (stack != NULL) { + v_t v = stack_pop(&stack); + + if (!marks[v]) { + h_t s_old, s_new; + dihinf_t *R_new; + bool external_flipped; + + marks[v] = true; + + if (v == s->g->nv - 1) { + R_new = dihinf_compose(rot, s->R); + external_flipped = true; + } else { + s_old = s->spins[v]; + s_new = dihinf_act(rot, s_old); + external_flipped = false; + } + + v_t nn = s->g->v_i[v + 1] - s->g->v_i[v]; + + for (v_t i = 0; i < nn; i++) { + h_t sn; + double prob; + bool external_neighbor = false; + + v_t vn = s->g->v_adj[s->g->v_i[v] + i]; + + if (vn == s->g->nv - 1) { + external_neighbor = true; + } else { + sn = s->spins[vn]; + } + + if (external_flipped || external_neighbor) { + h_t rot_s_old, rot_s_new; + + if (external_neighbor) { + rot_s_old = dihinf_inverse_act(s->R, s_old); + rot_s_new = dihinf_inverse_act(s->R, s_new); + } else { + rot_s_old = dihinf_inverse_act(s->R, sn); + rot_s_new = dihinf_inverse_act(R_new, sn); + } + + double dE = s->H(s->H_info, rot_s_old) - s->H(s->H_info, rot_s_new); + prob = 1.0 - exp(-dE / s->T); + + s->M += rot_s_new - rot_s_old; + s->E += dE; + } else { + double dE = (s->J)(s_old - sn) - (s->J)(s_new - sn); + prob = 1.0 - exp(-dE / s->T); + s->E += dE; + } + + if (gsl_rng_uniform(r) < prob) { // and with probability ps[e]... + stack_push(&stack, vn); // push the neighboring vertex to the stack + } + } + + if (external_flipped) { + free(s->R); + s->R = R_new; + } else { + s->spins[v] = s_new; + } + + if (v != s->g->nv - 1) { // count the number of non-external sites that flip + nv++; + } + } + } + + free(marks); + + return nv; +} + v_t flip_cluster_vector(vector_state_t *s, v_t v0, double *rot, gsl_rng *r) { v_t nv = 0; diff --git a/lib/cluster.h b/lib/cluster.h index 095ed61..2de17e5 100644 --- a/lib/cluster.h +++ b/lib/cluster.h @@ -21,6 +21,7 @@ #include "measurement.h" #include "orthogonal.h" #include "dihedral.h" +#include "dihinf.h" typedef struct { graph_t *g; @@ -36,6 +37,18 @@ typedef struct { q_t q; } ising_state_t; +typedef struct { + graph_t *g; + h_t *spins; + double T; + double (*J)(h_t); + double (*H)(double *, h_t); + double *H_info; + dihinf_t *R; + double E; + h_t M; +} dgm_state_t; + typedef struct { graph_t *g; double *spins; @@ -53,5 +66,7 @@ v_t flip_cluster(ising_state_t *s, v_t v0, q_t s1, gsl_rng *r); v_t flip_cluster_vector(vector_state_t *s, v_t v0, double *rot, gsl_rng *r); +v_t flip_cluster_dgm(dgm_state_t *s, v_t v0, h_t rot, gsl_rng *r); + graph_t *graph_add_ext(const graph_t *g); diff --git a/lib/dihinf.c b/lib/dihinf.c new file mode 100644 index 0000000..4f88a7a --- /dev/null +++ b/lib/dihinf.c @@ -0,0 +1,28 @@ + +#include "dihinf.h" + +dihinf_t *dihinf_compose(h_t g1i, const dihinf_t *g2) { + // we only need to consider the action of reflections + dihinf_t *g3 = (dihinf_t *)malloc(1 * sizeof(dihinf_t)); + + g3->r = !g2->r; + g3->i = g1i - g2->i; + + return g3; +} + +h_t dihinf_act(h_t gi, h_t s) { + // we only need to consider the action of reflections + + return gi - s; +} + +h_t dihinf_inverse_act(const dihinf_t *g, h_t s) { + if (g->r) { + return g->i - s; + } else { + return s - g->i; + } +} + + diff --git a/lib/dihinf.h b/lib/dihinf.h new file mode 100644 index 0000000..2bc7dc2 --- /dev/null +++ b/lib/dihinf.h @@ -0,0 +1,17 @@ + +#include +#include + +#include "types.h" + +typedef struct { + h_t i; + bool r; +} dihinf_t; + +dihinf_t *dihinf_compose(h_t gti, const dihinf_t *g2); + +h_t dihinf_act(h_t gi, h_t s); + +h_t dihinf_inverse_act(const dihinf_t *g, h_t s); + diff --git a/lib/types.h b/lib/types.h index daac873..fcc2ce7 100644 --- a/lib/types.h +++ b/lib/types.h @@ -8,16 +8,18 @@ typedef uint_fast16_t L_t; typedef uint_fast64_t count_t; typedef int_fast64_t h_t; -#define MAX_v INT_FAST32_MAX -#define MAX_Q INT_FAST8_MAX -#define MAX_D INT_FAST8_MAX -#define MAX_L INT_FAST16_MAX -#define MAX_COUNT INT_FAST64_MAX +#define MAX_v UINT_FAST32_MAX +#define MAX_Q UINT_FAST8_MAX +#define MAX_D UINT_FAST8_MAX +#define MAX_L UINT_FAST16_MAX +#define MAX_COUNT UINT_FAST64_MAX +#define MAX_H INT_FAST64_MAX +#define MIN_H INT_FAST64_MIN #define PRIv PRIuFAST32 #define PRIq PRIuFAST8 #define PRID PRIuFAST8 #define PRIL PRIuFAST16 #define PRIcount PRIuFAST64 -#define PRIh PRIFAST64 +#define PRIh PRIdFAST64 diff --git a/src/wolff_dgm.c b/src/wolff_dgm.c new file mode 100644 index 0000000..a9287f1 --- /dev/null +++ b/src/wolff_dgm.c @@ -0,0 +1,247 @@ + +#include + +#include + +double identity(h_t x) { + return -pow(x, 2); +} + +double basic_H(double *H, h_t x) { + return -H[0] * pow(x, 2); +} + +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; + D_t D = 2; + double T = 2.26918531421; + 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:T:H:m:e:saS:W:")) != -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 'T': + T = atof(optarg); + 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 '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); + } + } + + gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937); + gsl_rng_set(r, rand_seed()); + + dgm_state_t *s = (dgm_state_t *)calloc(1, sizeof(dgm_state_t)); + + graph_t *h = graph_create_square(D, L); + s->g = graph_add_ext(h); + + s->spins = (h_t *)calloc(h->nv, sizeof(h_t)); + + s->H_info = H; + s->T = T; + s->H = basic_H; + s->J = identity; + + s->R = (dihinf_t *)calloc(1, sizeof(dihinf_t)); + + s->M = 0; + s->E = 0; + + double diff = 1e31; + count_t n_runs = 0; + count_t n_steps = 0; + + meas_t *E, *clust, *M, *dM; + + M = (meas_t *)calloc(1, sizeof(meas_t )); + dM = (meas_t *)calloc(1, sizeof(meas_t )); + + 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 + ", dH/H = %.4f, dM/M = %.4f, dC/C = %.4f, dX/X = %.4f, cps: %.1f\n", + n_runs, fabs(E->dx / E->x), M->dx / M->x, E->dc / E->c, M->dc / M->c, h->nv / clust->x); + + count_t n_flips = 0; + + while (n_flips / h->nv < n) { + v_t v0 = gsl_rng_uniform_int(r, h->nv); + h_t step = round((((double)s->M) / h->nv) + gsl_ran_gaussian(r, 5)); + + v_t tmp_flips = flip_cluster_dgm(s, v0, step, r); + n_flips += 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); + } + } + } + + update_meas(M, s->M); + h_t min_h, max_h; + min_h = MAX_H; + max_h = MIN_H; + for (v_t i = 0; i < h->nv; i++) { + if (s->spins[i] < min_h) { + min_h = s->spins[i]; + } else if (s->spins[i] > max_h) { + max_h = s->spins[i]; + } + } + update_meas(dM, max_h - min_h); + update_meas(E, s->E); + + diff = fabs(E->dc / E->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->dx / M->x, E->dc / E->c, M->dc / M->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 ",T->%.15f", D, L, T); + fprintf(outfile, ",E->%.15f,\\[Delta]E->%.15f,C->%.15f,\\[Delta]C->%.15f,M->%.15f", E->x / h->nv, E->dx / h->nv, E->c / h->nv, E->dc / h->nv, M->x / h->nv); + fprintf(outfile, ",\\[Delta]M->%.15f", M->dx / h->nv); + fprintf(outfile, ",\\[Chi]->%.15f", M->c / h->nv); + fprintf(outfile, ",\\[Delta]\\[Chi]->%.15f", M->dc / h->nv); + fprintf(outfile, ",w->%.15f,\\[Delta]w->%.15f,wc->%.15f,\\[Delta]wc->%.15f,Subscript[n,\"clust\"]->%.15f,Subscript[\\[Delta]n,\"clust\"]->%.15f,Subscript[m,\"clust\"]->%.15f,Subscript[\\[Delta]m,\"clust\"]->%.15f,\\[Tau]->%.15f|>\n", dM->x, dM->dx, dM->c, dM->dc, clust->x / h->nv, clust->dx / h->nv, clust->c / h->nv, clust->dc / h->nv,tau); + + fclose(outfile); + + FILE *image = fopen("out.dat", "a"); + for (v_t i = 0; i < h->nv; i++) { + fprintf(image, "%" PRIh " ", s->spins[i]); + } + fprintf(image, "\n"); + fclose(image); + + free(E); + free(clust); + free(H); + free(s->R); + free(s->spins); + graph_free(s->g); + free(s); + graph_free(h); + gsl_rng_free(r); + + return 0; +} + diff --git a/src/wolff_potts.c b/src/wolff_potts.c index 845eeca..eea9ed7 100644 --- a/src/wolff_potts.c +++ b/src/wolff_potts.c @@ -424,7 +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,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); + 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); -- cgit v1.2.3-54-g00ecf