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-rw-r--r--CMakeLists.txt8
-rw-r--r--lib/orthogonal.h116
-rw-r--r--lib/wolff.h70
-rw-r--r--src/wolff.cpp134
-rw-r--r--src/wolff_heisenberg.cpp77
-rw-r--r--src/wolff_planar.cpp77
6 files changed, 308 insertions, 174 deletions
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 7c1bc32..ffbde47 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -12,7 +12,8 @@ link_directories(~/.local/lib)
file(GLOB CSOURCES lib/*.c)
file(GLOB CPPSOURCES lib/*.cpp)
add_executable(wolff_finite src/wolff_finite.c ${CSOURCES})
-add_executable(wolff src/wolff.cpp ${CPPSOURCES} ${CSOURCES})
+add_executable(wolff_heisenberg src/wolff_heisenberg.cpp ${CPPSOURCES} ${CSOURCES})
+add_executable(wolff_planar src/wolff_planar.cpp ${CPPSOURCES} ${CSOURCES})
find_package(OpenMP)
if (OPENMP_FOUND)
@@ -21,7 +22,8 @@ if (OPENMP_FOUND)
endif()
target_link_libraries(wolff_finite gsl m cblas fftw3)
-target_link_libraries(wolff gsl m cblas fftw3)
+target_link_libraries(wolff_heisenberg gsl m cblas fftw3)
+target_link_libraries(wolff_planar gsl m cblas fftw3)
-install(TARGETS wolff_finite wolff DESTINATION bin)
+install(TARGETS wolff_finite wolff_heisenberg wolff_planar DESTINATION bin)
diff --git a/lib/orthogonal.h b/lib/orthogonal.h
index 0b2fdd5..0a2b5c7 100644
--- a/lib/orthogonal.h
+++ b/lib/orthogonal.h
@@ -9,10 +9,11 @@
#include "types.h"
template <q_t q, class T>
-struct orthogonal_t { T *x; };
+struct orthogonal_t { bool is_reflection; T *x; };
template <q_t q, class T>
void init(orthogonal_t <q, T> *ptr) {
+ ptr->is_reflection = false;
ptr->x = (T *)calloc(q * q, sizeof(T));
for (q_t i = 0; i < q; i++) {
@@ -23,9 +24,19 @@ void init(orthogonal_t <q, T> *ptr) {
template <q_t q, class T>
orthogonal_t <q, T> copy (orthogonal_t <q, T> m) {
orthogonal_t <q, T> m_copy;
- m_copy.x = (T *)calloc(q * q, sizeof(T));
+ m_copy.is_reflection = m.is_reflection;
- for (q_t i = 0; i < q * q; i++) {
+ q_t size;
+
+ if (m.is_reflection) {
+ size = q;
+ } else {
+ size = q * q;
+ }
+
+ m_copy.x = (T *)calloc(size, sizeof(T));
+
+ for (q_t i = 0; i < size; i++) {
m_copy.x[i] = m.x[i];
}
@@ -42,9 +53,19 @@ vector_t <q, T> act (orthogonal_t <q, T> m, vector_t <q, T> v) {
vector_t <q, T> v_rot;
v_rot.x = (T *)calloc(q, sizeof(T));
- for (q_t i = 0; i < q; i++) {
- for (q_t j = 0; j < q; j++) {
- v_rot.x[i] += m.x[q * i + j] * v.x[j];
+ if (m.is_reflection) {
+ double prod = 0;
+ for (q_t i = 0; i < q; i++) {
+ prod += v.x[i] * m.x[i];
+ }
+ for (q_t i = 0; i < q; i++) {
+ v_rot.x[i] = v.x[i] - 2 * prod * m.x[i];
+ }
+ } else {
+ for (q_t i = 0; i < q; i++) {
+ for (q_t j = 0; j < q; j++) {
+ v_rot.x[i] += m.x[q * i + j] * v.x[j];
+ }
}
}
@@ -54,12 +75,28 @@ vector_t <q, T> act (orthogonal_t <q, T> m, vector_t <q, T> v) {
template <q_t q, class T>
orthogonal_t <q, T> act (orthogonal_t <q, T> m1, orthogonal_t <q, T> m2) {
orthogonal_t <q, T> m2_rot;
+
+ m2_rot.is_reflection = false;
m2_rot.x = (T *)calloc(q * q, sizeof(T));
- for (q_t i = 0; i < q; i++) {
- for (q_t j = 0; j < q; j++) {
+ if (m1.is_reflection) {
+ for (q_t i = 0; i < q; i++) {
+ double akOki = 0;
+
for (q_t k = 0; k < q; k++) {
- m2_rot.x[i * q + j] += m1.x[i * q + j] * m2.x[j * q + k];
+ akOki += m1.x[k] * m2.x[q * k + i];
+ }
+
+ for (q_t j = 0; j < q; j++) {
+ m2_rot.x[q * j + i] = m2.x[q * j + i] - 2 * akOki * m1.x[j];
+ }
+ }
+ } else {
+ for (q_t i = 0; i < q; i++) {
+ for (q_t j = 0; j < q; j++) {
+ for (q_t k = 0; k < q; k++) {
+ m2_rot.x[i * q + j] += m1.x[i * q + j] * m2.x[j * q + k];
+ }
}
}
}
@@ -69,54 +106,59 @@ orthogonal_t <q, T> act (orthogonal_t <q, T> m1, orthogonal_t <q, T> m2) {
template <q_t q, class T>
vector_t <q, T> act_inverse (orthogonal_t <q, T> m, vector_t <q, T> v) {
- vector_t <q, T> v_rot;
- v_rot.x = (T *)calloc(q, sizeof(T));
-
- for (q_t i = 0; i < q; i++) {
- for (q_t j = 0; j < q; j++) {
- v_rot.x[i] += m.x[q * j + i] * v.x[j];
+ if (m.is_reflection) {
+ return act(m, v); // reflections are their own inverse
+ } else {
+ vector_t <q, T> v_rot;
+ v_rot.x = (T *)calloc(q, sizeof(T));
+
+ for (q_t i = 0; i < q; i++) {
+ for (q_t j = 0; j < q; j++) {
+ v_rot.x[i] += m.x[q * j + i] * v.x[j];
+ }
}
- }
- return v_rot;
+ return v_rot;
+ }
}
template <q_t q, class T>
orthogonal_t <q, T> act_inverse (orthogonal_t <q, T> m1, orthogonal_t <q, T> m2) {
- orthogonal_t <q, T> m2_rot;
- m2_rot.x = (T *)calloc(q * q, sizeof(T));
-
- for (q_t i = 0; i < q; i++) {
- for (q_t j = 0; j < q; j++) {
- for (q_t k = 0; k < q; k++) {
- m2_rot.x[i * q + j] += m1.x[j * q + i] * m2.x[j * q + k];
+ if (m1.is_reflection) {
+ return act(m1, m2); // reflections are their own inverse
+ } else {
+ orthogonal_t <q, T> m2_rot;
+ m2_rot.x = (T *)calloc(q * q, sizeof(T));
+
+ for (q_t i = 0; i < q; i++) {
+ for (q_t j = 0; j < q; j++) {
+ for (q_t k = 0; k < q; k++) {
+ m2_rot.x[i * q + j] += m1.x[j * q + i] * m2.x[j * q + k];
+ }
}
}
- }
- return m2_rot;
+ return m2_rot;
+ }
}
template <q_t q>
void generate_rotation (gsl_rng *r, orthogonal_t <q, double> *ptr) {
- double *v = (double *)malloc(q * sizeof(double));
+ ptr->is_reflection = true;
+ ptr->x = (double *)calloc(q, sizeof(double));
+
double v2 = 0;
for (q_t i = 0; i < q; i++) {
- v[i] = gsl_ran_ugaussian(r);
- v2 += v[i] * v[i];
+ ptr->x[i] = gsl_ran_ugaussian(r);
+ v2 += ptr->x[i] * ptr->x[i];
}
- ptr->x = (double *)calloc(q * q, sizeof(double));
-
+ double mag_v = sqrt(v2);
+
for (q_t i = 0; i < q; i++) {
- ptr->x[q * i + i] = 1.0;
- for (q_t j = 0; j < q; j++) {
- ptr->x[q * i + j] -= 2 * v[i] * v[j] / v2;
- }
+ ptr->x[i] /= mag_v;
}
-
- free(v);
}
diff --git a/lib/wolff.h b/lib/wolff.h
new file mode 100644
index 0000000..81830ee
--- /dev/null
+++ b/lib/wolff.h
@@ -0,0 +1,70 @@
+
+#include <time.h>
+#include <getopt.h>
+
+#include <cluster.h>
+
+template <q_t q, class T>
+double H_vector(vector_t <q, T> v1, T *H) {
+ vector_t <q, T> H_vec;
+ H_vec.x = H;
+ return (double)(dot <q, T> (v1, H_vec));
+}
+
+template <class R_t, class X_t>
+void wolff(count_t N, D_t D, L_t L, double T, std::function <double(X_t, X_t)> J, std::function <double(X_t)> H, unsigned long timestamp, bool silent) {
+
+ state_t <R_t, X_t> s(D, L, T, J, H);
+
+ // initialize random number generator
+ gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937);
+ gsl_rng_set(r, rand_seed());
+
+ char *filename_M = (char *)malloc(255 * sizeof(char));
+ char *filename_E = (char *)malloc(255 * sizeof(char));
+ char *filename_S = (char *)malloc(255 * sizeof(char));
+
+ sprintf(filename_M, "wolff_%lu_M.dat", timestamp);
+ sprintf(filename_E, "wolff_%lu_E.dat", timestamp);
+ sprintf(filename_S, "wolff_%lu_S.dat", timestamp);
+
+ FILE *outfile_M = fopen(filename_M, "wb");
+ FILE *outfile_E = fopen(filename_E, "wb");
+ FILE *outfile_S = fopen(filename_S, "wb");
+
+ free(filename_M);
+ free(filename_E);
+ free(filename_S);
+
+ v_t cluster_size = 0;
+
+ if (!silent) printf("\n");
+ for (count_t steps = 0; steps < N; steps++) {
+ if (!silent) printf("\033[F\033[JWOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, M_0 = %.2f, S = %" PRIv "\n", steps, N, s.E, s.M.x[0], cluster_size);
+
+ v_t v0 = gsl_rng_uniform_int(r, s.nv);
+
+ R_t step;
+ generate_rotation(r, &step);
+
+ cluster_size = flip_cluster <R_t, X_t> (&s, v0, step, r);
+
+ free_spin(step);
+
+ fwrite(&(s.E), sizeof(double), 1, outfile_E);
+ fwrite(s.M.x, sizeof(double), 2, outfile_M);
+ fwrite(&cluster_size, sizeof(uint32_t), 1, outfile_S);
+
+ }
+ if (!silent) {
+ printf("\033[F\033[J");
+ }
+ printf("WOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, M_0 = %.2f, S = %" PRIv "\n", N, N, s.E, s.M.x[0], cluster_size);
+
+ fclose(outfile_M);
+ fclose(outfile_E);
+ fclose(outfile_S);
+
+ gsl_rng_free(r);
+}
+
diff --git a/src/wolff.cpp b/src/wolff.cpp
deleted file mode 100644
index f685129..0000000
--- a/src/wolff.cpp
+++ /dev/null
@@ -1,134 +0,0 @@
-
-#include <time.h>
-#include <getopt.h>
-
-#include <cluster.h>
-
-double H_vector(vector_t <2, double> v1, double *H) {
- vector_t <2, double> H_vec;
- H_vec.x = H;
- return dot <2, double> (v1, H_vec);
-}
-
-int main(int argc, char *argv[]) {
-
- count_t N = (count_t)1e7;
-
- D_t D = 2;
- L_t L = 128;
- double T = 2.26918531421;
- double *H = (double *)calloc(MAX_Q, sizeof(double));
-
- bool silent = false;
-
- int opt;
- q_t J_ind = 0;
- q_t H_ind = 0;
-
- while ((opt = getopt(argc, argv, "N:q:D:L:T:J:H:s")) != -1) {
- switch (opt) {
- case 'N': // number of steps
- N = (count_t)atof(optarg);
- break;
- case 'D': // dimension
- D = atoi(optarg);
- break;
- case 'L': // linear size
- L = atoi(optarg);
- break;
- case 'T': // temperature
- T = atof(optarg);
- break;
- case 'H': // external field. nth call couples to state n
- H[H_ind] = atof(optarg);
- H_ind++;
- break;
- case 's': // don't print anything during simulation. speeds up slightly
- silent = true;
- break;
- default:
- exit(EXIT_FAILURE);
- }
- }
-
- state_t <orthogonal_t <2, double>, vector_t <2, double>> s(D, L, T, dot <2, double>, std::bind(H_vector, std::placeholders::_1, H));
-
- // initialize random number generator
- gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937);
- gsl_rng_set(r, rand_seed());
-
- unsigned long timestamp;
-
- {
- struct timespec spec;
- clock_gettime(CLOCK_REALTIME, &spec);
- timestamp = spec.tv_sec*1000000000LL + spec.tv_nsec;
- }
-
- FILE *outfile_info = fopen("wolff_metadata.txt", "a");
-
- fprintf(outfile_info, "<| \"ID\" -> %lu, \"D\" -> %" PRID ", \"L\" -> %" PRIL ", \"NV\" -> %" PRIv ", \"NE\" -> %" PRIv ", \"T\" -> %.15f, \"H\" -> {", timestamp, D, L, s.nv, s.ne, T);
-
- for (q_t i = 0; i < 2; i++) {
- fprintf(outfile_info, "%.15f", H[i]);
- if (i < 2 - 1) {
- fprintf(outfile_info, ", ");
- }
- }
-
- fprintf(outfile_info, "} |>\n");
-
- fclose(outfile_info);
-
- char *filename_M = (char *)malloc(255 * sizeof(char));
- char *filename_E = (char *)malloc(255 * sizeof(char));
- char *filename_S = (char *)malloc(255 * sizeof(char));
-
- sprintf(filename_M, "wolff_%lu_M.dat", timestamp);
- sprintf(filename_E, "wolff_%lu_E.dat", timestamp);
- sprintf(filename_S, "wolff_%lu_S.dat", timestamp);
-
- FILE *outfile_M = fopen(filename_M, "wb");
- FILE *outfile_E = fopen(filename_E, "wb");
- FILE *outfile_S = fopen(filename_S, "wb");
-
- free(filename_M);
- free(filename_E);
- free(filename_S);
-
- v_t cluster_size = 0;
-
- if (!silent) printf("\n");
- for (count_t steps = 0; steps < N; steps++) {
- if (!silent) printf("\033[F\033[JWOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, M_0 = %.2f, S = %" PRIv "\n", steps, N, s.E, s.M.x[0], cluster_size);
-
- v_t v0 = gsl_rng_uniform_int(r, s.nv);
-
- orthogonal_t <2, double> step;
- generate_rotation<2>(r, &step);
-
- cluster_size = flip_cluster <orthogonal_t <2, double>, vector_t <2, double>> (&s, v0, step, r);
-
- free_spin(step);
-
- fwrite(&(s.E), sizeof(double), 1, outfile_E);
- fwrite(s.M.x, sizeof(double), 2, outfile_M);
- fwrite(&cluster_size, sizeof(uint32_t), 1, outfile_S);
-
- }
- if (!silent) {
- printf("\033[F\033[J");
- }
- printf("WOLFF: sweep %" PRIu64 " / %" PRIu64 ": E = %.2f, M_0 = %.2f, S = %" PRIv "\n", N, N, s.E, s.M.x[0], cluster_size);
-
- fclose(outfile_M);
- fclose(outfile_E);
- fclose(outfile_S);
-
- gsl_rng_free(r);
-
- free(H);
-
- return 0;
-}
-
diff --git a/src/wolff_heisenberg.cpp b/src/wolff_heisenberg.cpp
new file mode 100644
index 0000000..d1ebd48
--- /dev/null
+++ b/src/wolff_heisenberg.cpp
@@ -0,0 +1,77 @@
+
+#include <getopt.h>
+
+#include <wolff.h>
+
+int main(int argc, char *argv[]) {
+
+ count_t N = (count_t)1e7;
+
+ D_t D = 2;
+ L_t L = 128;
+ double T = 2.26918531421;
+ double *H = (double *)calloc(MAX_Q, sizeof(double));
+
+ bool silent = false;
+
+ int opt;
+ q_t J_ind = 0;
+ q_t H_ind = 0;
+
+ while ((opt = getopt(argc, argv, "N:q:D:L:T:J:H:s")) != -1) {
+ switch (opt) {
+ case 'N': // number of steps
+ N = (count_t)atof(optarg);
+ break;
+ case 'D': // dimension
+ D = atoi(optarg);
+ break;
+ case 'L': // linear size
+ L = atoi(optarg);
+ break;
+ case 'T': // temperature
+ T = atof(optarg);
+ break;
+ case 'H': // external field. nth call couples to state n
+ H[H_ind] = atof(optarg);
+ H_ind++;
+ break;
+ case 's': // don't print anything during simulation. speeds up slightly
+ silent = true;
+ break;
+ default:
+ exit(EXIT_FAILURE);
+ }
+ }
+
+ unsigned long timestamp;
+
+ {
+ struct timespec spec;
+ clock_gettime(CLOCK_REALTIME, &spec);
+ timestamp = spec.tv_sec*1000000000LL + spec.tv_nsec;
+ }
+
+ FILE *outfile_info = fopen("wolff_metadata.txt", "a");
+
+ fprintf(outfile_info, "<| \"ID\" -> %lu, \"MODEL\" -> \"HEISENBERG\", q -> \"3\", \"D\" -> %" PRID ", \"L\" -> %" PRIL ", \"NV\" -> %" PRIv ", \"NE\" -> %" PRIv ", \"T\" -> %.15f, \"H\" -> {", timestamp, D, L, L * L, D * L * L, T);
+
+ for (q_t i = 0; i < 2; i++) {
+ fprintf(outfile_info, "%.15f", H[i]);
+ if (i < 2 - 1) {
+ fprintf(outfile_info, ", ");
+ }
+ }
+
+ fprintf(outfile_info, "} |>\n");
+
+ fclose(outfile_info);
+
+
+ wolff <orthogonal_t <3, double>, vector_t <3, double>> (N, D, L, T, dot <3, double>, std::bind(H_vector <3, double>, std::placeholders::_1, H), timestamp, silent);
+
+ free(H);
+
+ return 0;
+}
+
diff --git a/src/wolff_planar.cpp b/src/wolff_planar.cpp
new file mode 100644
index 0000000..02ededc
--- /dev/null
+++ b/src/wolff_planar.cpp
@@ -0,0 +1,77 @@
+
+#include <getopt.h>
+
+#include <wolff.h>
+
+int main(int argc, char *argv[]) {
+
+ count_t N = (count_t)1e7;
+
+ D_t D = 2;
+ L_t L = 128;
+ double T = 2.26918531421;
+ double *H = (double *)calloc(MAX_Q, sizeof(double));
+
+ bool silent = false;
+
+ int opt;
+ q_t J_ind = 0;
+ q_t H_ind = 0;
+
+ while ((opt = getopt(argc, argv, "N:q:D:L:T:J:H:s")) != -1) {
+ switch (opt) {
+ case 'N': // number of steps
+ N = (count_t)atof(optarg);
+ break;
+ case 'D': // dimension
+ D = atoi(optarg);
+ break;
+ case 'L': // linear size
+ L = atoi(optarg);
+ break;
+ case 'T': // temperature
+ T = atof(optarg);
+ break;
+ case 'H': // external field. nth call couples to state n
+ H[H_ind] = atof(optarg);
+ H_ind++;
+ break;
+ case 's': // don't print anything during simulation. speeds up slightly
+ silent = true;
+ break;
+ default:
+ exit(EXIT_FAILURE);
+ }
+ }
+
+ unsigned long timestamp;
+
+ {
+ struct timespec spec;
+ clock_gettime(CLOCK_REALTIME, &spec);
+ timestamp = spec.tv_sec*1000000000LL + spec.tv_nsec;
+ }
+
+ FILE *outfile_info = fopen("wolff_metadata.txt", "a");
+
+ fprintf(outfile_info, "<| \"ID\" -> %lu, \"MODEL\" -> \"PLANAR\", \"q\" -> 2, \"D\" -> %" PRID ", \"L\" -> %" PRIL ", \"NV\" -> %" PRIv ", \"NE\" -> %" PRIv ", \"T\" -> %.15f, \"H\" -> {", timestamp, D, L, L * L, D * L * L, T);
+
+ for (q_t i = 0; i < 2; i++) {
+ fprintf(outfile_info, "%.15f", H[i]);
+ if (i < 2 - 1) {
+ fprintf(outfile_info, ", ");
+ }
+ }
+
+ fprintf(outfile_info, "} |>\n");
+
+ fclose(outfile_info);
+
+
+ wolff <orthogonal_t <2, double>, vector_t <2, double>> (N, D, L, T, dot <2, double>, std::bind(H_vector <2, double>, std::placeholders::_1, H), timestamp, silent);
+
+ free(H);
+
+ return 0;
+}
+