From e3fbb92e68f0410f106285c9a49ecf8cd0a488a9 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Sat, 21 Jul 2018 19:43:16 -0400
Subject: added visualization, and started potts
---
CMakeLists.txt | 31 ++++++++----
lib/ising.h | 8 +++
lib/potts.h | 100 +++++++++++++++++++++++++++++++++++++
lib/state.h | 4 +-
lib/symmetric.h | 88 +++++++++++++++++++++++++++++++++
lib/vector.h | 11 +++++
src/wolff_On.cpp | 75 +++++++++++++++++++++++++++-
src/wolff_ising.cpp | 21 ++++++--
src/wolff_potts.cpp | 138 ++++++++++++++++++++++++++++++++++++++++++++++++++++
9 files changed, 459 insertions(+), 17 deletions(-)
create mode 100644 lib/potts.h
create mode 100644 src/wolff_potts.cpp
diff --git a/CMakeLists.txt b/CMakeLists.txt
index b225d39..1bec5c6 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1,6 +1,7 @@
cmake_minimum_required(VERSION 3.0)
project(wolff)
+
set(CMAKE_CXX_FLAGS_DEBUG "-g")
set(CMAKE_CXX_FLAGS_RELEASE "-O3")
@@ -22,17 +23,27 @@ add_executable(analyze_correlations src/analyze_correlations.cpp ${CPPSOURCES} $
SET_TARGET_PROPERTIES(wolff_planar PROPERTIES COMPILE_FLAGS "-DN_COMP=2")
SET_TARGET_PROPERTIES(wolff_heisenberg PROPERTIES COMPILE_FLAGS "-DN_COMP=3")
-find_package(OpenMP)
-if (OPENMP_FOUND)
- set (CMAKE_C_FLAGS "${CMAKE_C_FLAGS} ${OpenMP_C_FLAGS}")
- set (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${OpenMP_CXX_FLAGS}")
+find_library(GSL gsl)
+find_library(FFTW fftw3)
+find_library(M m)
+FIND_LIBRARY(GL GL)
+FIND_LIBRARY(GLU GLU)
+FIND_LIBRARY(GLUT glut)
+
+target_link_libraries(wolff_finite cblas gsl m)
+target_link_libraries(analyze_correlations cblas gsl fftw3 m)
+if (GL_FOUND AND GLU_FOUND AND GLUT_FOUND)
+ target_link_libraries(wolff_ising cblas gsl m glut GL GLU)
+ target_link_libraries(wolff_heisenberg cblas gsl m glut GL GLU)
+ target_link_libraries(wolff_planar cblas gsl m glut GL GLU)
+ target_compile_definitions(wolff_ising HAVE_GLUT)
+ target_compile_definitions(wolff_planar HAVE_GLUT)
+ target_compile_definitions(wolff_heisenberg HAVE_GLUT)
+else ()
+ target_link_libraries(wolff_ising cblas gsl m)
+ target_link_libraries(wolff_heisenberg cblas gsl m)
+ target_link_libraries(wolff_planar cblas gsl m)
endif()
-target_link_libraries(wolff_finite gsl cblas fftw3 m)
-target_link_libraries(wolff_ising gsl cblas fftw3 m glut GL GLU)
-target_link_libraries(wolff_heisenberg gsl cblas fftw3 m)
-target_link_libraries(wolff_planar gsl cblas fftw3 m)
-target_link_libraries(analyze_correlations gsl cblas fftw3 m)
-
install(TARGETS wolff_finite wolff_ising wolff_heisenberg wolff_planar analyze_correlations DESTINATION bin)
diff --git a/lib/ising.h b/lib/ising.h
index 4ad88f4..b4856c3 100644
--- a/lib/ising.h
+++ b/lib/ising.h
@@ -76,6 +76,14 @@ int scalar_multiple(int factor, ising_t s) {
}
}
+double scalar_multiple(double factor, ising_t s) {
+ if (s.x) {
+ return -factor;
+ } else {
+ return factor;
+ }
+}
+
double norm_squared(double s) {
return pow(s, 2);
}
diff --git a/lib/potts.h b/lib/potts.h
new file mode 100644
index 0000000..e7f0899
--- /dev/null
+++ b/lib/potts.h
@@ -0,0 +1,100 @@
+#pragma once
+
+#include <cmath>
+#include <stdio.h>
+
+#include "types.h"
+
+/* The following is the minimum definition of a spin class.
+ *
+ * The class must contain an M_t and an F_t for holding the sum of an
+ * integer number of spins and a double-weighted number of spins,
+ * respectively.
+ *
+ * void init(X_t *p);
+ * void free_spin(X_t p);
+ * void free_spin(M_t p);
+ * void free_spin(F_t p);
+ * X_t copy(X_t x);
+ * void add(M_t *x1, int factor, X_t x2);
+ * void add(F_t *x1, double factor, X_t x2);
+ * M_t scalar_multiple(int factor, X_t x);
+ * F_t scalar_multiple(double factor, X_t x);
+ * double norm_squared(F_t x);
+ * void write_magnetization(M_t M, FILE *outfile);
+ *
+ */
+
+template <q_t q>
+class potts_t {
+ public:
+ q_t x;
+
+ typedef int *M_t;
+ typedef double *F_t;
+};
+
+template <q_t q>
+void init(potts_t <q> *p) {
+ p->x = 0;
+}
+
+template <q_t q>
+void free_spin(potts_t <q> s) {
+ // do nothing!
+}
+
+template <q_t q>
+void free_spin(typename potts_t<q>::M_t s) {
+ free(s);
+}
+
+template <q_t q>
+void free_spin(typename potts_t<q>::F_t s) {
+ free(s);
+}
+
+template <q_t q>
+potts_t <q> copy(potts_t <q> s) {
+ return s;
+}
+
+template <q_t q>
+void add(typename potts_t<q>::M_t s1, int a, potts_t <q> s2) {
+ s1[s2.x] += a;
+}
+
+template <q_t q>
+void add(typename potts_t<q>::F_t s1, double a, potts_t <q> s2) {
+ s1[s2.x] += a;
+}
+
+template <q_t q>
+typename potts_t<q>::M_t scalar_multiple(int factor, potts_t <q> s) {
+ int *M = (int *)calloc(q, sizeof(int));
+ M[s.x] += factor;
+ return M;
+}
+
+template <q_t q>
+typename potts_t<q>::F_t scalar_multiple(double factor, potts_t <q> s) {
+ int *F = (double *)calloc(q, sizeof(double));
+ M[s.x] += factor;
+ return M;
+}
+
+template <q_t q>
+double norm_squared(typename potts<q>::F_t s) {
+ double total = 0;
+ for (q_t i = 0; i < q; i++) {
+ total += pow(s[i], 2);
+ }
+
+ return total * (double)q / ((double)q - 1.0);
+}
+
+template <q_t q>
+void write_magnetization(typename potts_t<q>::M_t M, FILE *outfile) {
+ fwrite(&M, sizeof(int), q, outfile);
+}
+
diff --git a/lib/state.h b/lib/state.h
index 76d3e5a..8630810 100644
--- a/lib/state.h
+++ b/lib/state.h
@@ -47,8 +47,8 @@ class state_t {
ReF = (typename X_t::F_t *)malloc(D * sizeof(typename X_t::F_t));
ImF = (typename X_t::F_t *)malloc(D * sizeof(typename X_t::F_t));
for (D_t i = 0; i < D; i++) {
- ReF[i] = scalar_multiple(0, spins[0]);
- ImF[i] = scalar_multiple(0, spins[0]);
+ ReF[i] = scalar_multiple(0.0, spins[0]);
+ ImF[i] = scalar_multiple(0.0, spins[0]);
}
precomputed_cos = (double *)malloc(L * sizeof(double));
precomputed_sin = (double *)malloc(L * sizeof(double));
diff --git a/lib/symmetric.h b/lib/symmetric.h
index c71521d..0b292a6 100644
--- a/lib/symmetric.h
+++ b/lib/symmetric.h
@@ -5,6 +5,10 @@
#include "types.h"
+#ifdef __cplusplus
+extern "C" {
+#endif
+
q_t *symmetric_compose(q_t q, const q_t *g1, const q_t *g2);
q_t symmetric_act(const q_t *g, q_t s);
@@ -13,3 +17,87 @@ q_t *symmetric_invert(q_t q, const q_t *g);
q_t *symmetric_gen_transformations(q_t q);
+#ifdef __cplusplus
+}
+#endif
+
+#ifdef __cplusplus
+template <q_t q>
+class symmetric_t {
+ public:
+ q_t *perm;
+};
+
+template <q_t q>
+void init(symmetric_t<q> *p) {
+ p->perm = (q_t *)malloc(q * sizeof(q_t));
+
+ for (q_t i = 0; i < q; i++) {
+ p->perm[i] = i;
+ }
+}
+
+template <q_t q>
+void free_spin(symmetric_t<q> p) {
+ free(p->perm);
+}
+
+template <q_t q>
+symmetric_t<q_t> copy(symmetric_t<q_t> x) {
+ symmetric_t<q> x2;
+ x2.perm = (q_t *)malloc(q * sizeof(q_t));
+
+ for (q_t i = 0; i < q; i++) {
+ x2.perm[i] = x.perm[i];
+ }
+
+ return x2;
+}
+
+template <q_t q>
+potts_t<q> act(symmetric_t<q> r, potts_t<q> s) {
+ potts_t<q> s2;
+ s2.x = r.perm[s.x];
+ return s2;
+}
+
+template <q_t q>
+symmetric_t<q> act(symmetric_t<q> r1, symmetric_t<q> r2) {
+ symmetric_t<q> r3;
+ r3.perm = (q_t *)malloc(q * sizeof(q_t));
+ for (q_t i = 0; i < q; i++) {
+ r3.perm[i] = r1.perm[r2.perm[i]];
+ }
+
+ return r3;
+}
+
+template <q_t q>
+potts_t<q> act_inverse(symmetric_t<q> r, potts_t<q> s) {
+ potts_t<q> s2;
+
+ q_t i;
+
+ for (i = 0; i < q; i++) {
+ if (r.perm[i] == s.x) {
+ break;
+ }
+ }
+
+ s2.x = i;
+
+ return s2;
+}
+
+template <q_t q>
+symmetric_t<q> act_inverse(symmetric_t<q> r1, symmetric_t<q> r2) {
+ symmetric_t<q> r3;
+ r3.perm = (q_t *)malloc(q * sizeof(q_t));
+ for (q_t i = 0; i < q; i++) {
+ r3.perm[r1.perm[i]] = r2.perm[i];
+ }
+
+ return r3;
+}
+#endif
+
diff --git a/lib/vector.h b/lib/vector.h
index c478618..2fe6ab8 100644
--- a/lib/vector.h
+++ b/lib/vector.h
@@ -79,6 +79,17 @@ vector_t <q, T> scalar_multiple(int a, vector_t <q, T> v) {
return multiple;
}
+template <q_t q, class T>
+vector_t <q, T> scalar_multiple(double a, vector_t <q, T> v) {
+ vector_t <q, T> multiple;
+ multiple.x = (T *)malloc(q * sizeof(T));
+ for (q_t i = 0; i < q; i++) {
+ multiple.x[i] = a * v.x[i];
+ }
+
+ return multiple;
+}
+
template <q_t q, class T>
double norm_squared (vector_t <q, T> v) {
double tmp = 0;
diff --git a/src/wolff_On.cpp b/src/wolff_On.cpp
index 491fb27..32a6fc4 100644
--- a/src/wolff_On.cpp
+++ b/src/wolff_On.cpp
@@ -1,5 +1,8 @@
#include <getopt.h>
+#ifdef HAVE_GLUT
+#include <GL/glut.h>
+#endif
#include <wolff.h>
#include <correlation.h>
@@ -29,6 +32,36 @@ double H_modulated(vector_R_t v, int order, double mag) {
return mag * cos(order * theta(v));
}
+double hue_to_R(double theta) {
+ if (((M_PI / 3 <= theta) && (theta < 2 * M_PI / 3)) || ((4 * M_PI / 3 <= theta) && (theta < 5 * M_PI / 3))) {
+ return 1.0 - fabs(fmod(theta / (2 * M_PI / 6), 2) - 1.0);
+ } else if (((0 <= theta) && (theta < M_PI / 3)) || ((5 * M_PI / 3 <= theta) && (theta <= 2 * M_PI))) {
+ return 1.0;
+ } else {
+ return 0.0;
+ }
+}
+
+double hue_to_G(double theta) {
+ if (((0 <= theta) && (theta < M_PI / 3)) || ((M_PI <= theta) && (theta < 4 * M_PI / 3))) {
+ return 1.0 - fabs(fmod(theta / (2 * M_PI / 6), 2) - 1.0);
+ } else if (((M_PI / 3 <= theta) && (theta < 2 * M_PI / 3)) || ((2 * M_PI / 3 <= theta) && (theta < M_PI))) {
+ return 1.0;
+ } else {
+ return 0.0;
+ }
+}
+
+double hue_to_B(double theta) {
+ if (((2 * M_PI / 3 <= theta) && (theta < M_PI)) || ((5 * M_PI / 3 <= theta) && (theta <= 2 * M_PI))) {
+ return 1.0 - fabs(fmod(theta / (2 * M_PI / 6), 2) - 1.0);
+ } else if (((M_PI <= theta) && (theta < 4 * M_PI / 3)) || ((4 * M_PI / 3 <= theta) && (theta < 5 * M_PI / 3))) {
+ return 1.0;
+ } else {
+ return 0.0;
+ }
+}
+
int main(int argc, char *argv[]) {
count_t N = (count_t)1e7;
@@ -41,6 +74,8 @@ int main(int argc, char *argv[]) {
bool silent = false;
bool use_pert = false;
bool N_is_sweeps = false;
+ bool draw = false;
+ unsigned int window_size = 512;
bool modulated_field = false;
int order = 2;
@@ -54,7 +89,7 @@ int main(int argc, char *argv[]) {
unsigned char measurement_flags = 0;
- while ((opt = getopt(argc, argv, "N:q:D:L:T:J:H:spe:mo:M:S")) != -1) {
+ while ((opt = getopt(argc, argv, "N:D:L:T:H:spe:mo:M:Sdw:")) != -1) {
switch (opt) {
case 'N': // number of steps
N = (count_t)atof(optarg);
@@ -93,6 +128,17 @@ int main(int argc, char *argv[]) {
case 'S':
N_is_sweeps = true;
break;
+ case 'd':
+#ifdef HAVE_GLUT
+ draw = true;
+ break;
+#else
+ printf("You didn't compile this with the glut library installed!\n");
+ exit(EXIT_FAILURE);
+#endif
+ case 'w':
+ window_size = atoi(optarg);
+ break;
default:
exit(EXIT_FAILURE);
}
@@ -153,6 +199,33 @@ int main(int argc, char *argv[]) {
other_f = [&] (const On_t *s) {
sum_of_clusterSize += s->last_cluster_size;
};
+ } else if (draw) {
+#ifdef HAVE_GLUT
+ // initialize glut
+ glutInit(&argc, argv);
+ glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
+ glutInitWindowSize(window_size, window_size);
+ glutCreateWindow("wolff");
+ glClearColor(0.0,0.0,0.0,0.0);
+ glMatrixMode(GL_PROJECTION);
+ glLoadIdentity();
+ gluOrtho2D(0.0, L, 0.0, L);
+
+ other_f = [&] (const On_t *s) {
+ glClear(GL_COLOR_BUFFER_BIT);
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ vector_R_t v_tmp = act_inverse(s->R, s->spins[i]);
+ double thetai = fmod(2 * M_PI + theta(v_tmp), 2 * M_PI);
+ free_spin(v_tmp);
+ double saturation = 0.7;
+ double value = 0.9;
+ double chroma = saturation * value;
+ glColor3f(chroma * hue_to_R(thetai) + (value - chroma), chroma * hue_to_G(thetai) + (value - chroma), chroma * hue_to_B(thetai) + (value - chroma));
+ glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
+ }
+ glFlush();
+ };
+#endif
} else {
other_f = [] (const On_t *s) {};
}
diff --git a/src/wolff_ising.cpp b/src/wolff_ising.cpp
index f4073da..83b6448 100644
--- a/src/wolff_ising.cpp
+++ b/src/wolff_ising.cpp
@@ -1,6 +1,8 @@
#include <getopt.h>
+#ifdef HAVE_GLUT
#include <GL/glut.h>
+#endif
// include your group and spin space
#include <z2.h>
@@ -11,7 +13,7 @@
int main(int argc, char *argv[]) {
- count_t N = (count_t)1e7;
+ count_t N = (count_t)1e4;
D_t D = 2;
L_t L = 128;
@@ -20,10 +22,11 @@ int main(int argc, char *argv[]) {
bool silent = false;
bool draw = false;
+ unsigned int window_size = 512;
int opt;
- while ((opt = getopt(argc, argv, "N:D:L:T:H:sd")) != -1) {
+ while ((opt = getopt(argc, argv, "N:D:L:T:H:sdw:")) != -1) {
switch (opt) {
case 'N': // number of steps
N = (count_t)atof(optarg);
@@ -44,8 +47,16 @@ int main(int argc, char *argv[]) {
silent = true;
break;
case 'd':
+#ifdef HAVE_GLUT
draw = true;
break;
+#else
+ printf("You didn't compile this with the glut library installed!\n");
+ exit(EXIT_FAILURE);
+#endif
+ case 'w':
+ window_size = atoi(optarg);
+ break;
default:
exit(EXIT_FAILURE);
}
@@ -95,11 +106,12 @@ int main(int argc, char *argv[]) {
} else {
// a more complex example: measure the average magnetization, and draw the spin configuration to the screen
+#ifdef HAVE_GLUT
// initialize glut
glutInit(&argc, argv);
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
- glutInitWindowSize(L,L);
- glutCreateWindow("null");
+ glutInitWindowSize(window_size, window_size);
+ glutCreateWindow("wolff");
glClearColor(0.0,0.0,0.0,0.0);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
@@ -118,6 +130,7 @@ int main(int argc, char *argv[]) {
}
glFlush();
};
+#endif
}
// run wolff for N cluster flips
diff --git a/src/wolff_potts.cpp b/src/wolff_potts.cpp
new file mode 100644
index 0000000..9d22ea4
--- /dev/null
+++ b/src/wolff_potts.cpp
@@ -0,0 +1,138 @@
+
+#include <getopt.h>
+#include <GL/glut.h>
+
+// include your group and spin space
+#include <symmetric.h>
+#include <potts.h>
+
+// include wolff.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 = 0.0;
+
+ bool silent = false;
+ bool draw = false;
+
+ int opt;
+
+ while ((opt = getopt(argc, argv, "N:D:L:T:H:sd")) != -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
+ H = atof(optarg);
+ break;
+ case 's': // don't print anything during simulation. speeds up slightly
+ silent = true;
+ break;
+ case 'd':
+ draw = true;
+ break;
+ default:
+ exit(EXIT_FAILURE);
+ }
+ }
+
+ // initialize random number generator
+ gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937);
+ gsl_rng_set(r, rand_seed());
+
+ // define spin-spin coupling
+ std::function <double(potts_t, ising_t)> Z = [] (ising_t s1, ising_t s2) -> double {
+ if (s1.x == s2.x) {
+ return 1.0;
+ } else {
+ return -1.0;
+ }
+ };
+
+ // define spin-field coupling
+ std::function <double(ising_t)> B = [=] (ising_t s) -> double {
+ if (s.x) {
+ return -H;
+ } else {
+ return H;
+ }
+ };
+
+ // initialize state object
+ state_t <z2_t, ising_t> s(D, L, T, Z, B);
+
+ // define function that generates self-inverse rotations
+ std::function <z2_t(gsl_rng *, const state_t <z2_t, ising_t> *)> gen_R = [] (gsl_rng *, const state_t <z2_t, ising_t> *) -> z2_t {
+ z2_t rot;
+ rot.x = true;
+ return rot;
+ };
+
+ // define function that updates any number of measurements
+ std::function <void(const state_t <z2_t, ising_t> *)> measurement;
+
+ double average_M = 0;
+ if (!draw) {
+ // a very simple example: measure the average magnetization
+ measurement = [&] (const state_t <z2_t, ising_t> *s) {
+ average_M += (double)s->M / (double)N / (double)s->nv;
+ };
+ } else {
+ // a more complex example: measure the average magnetization, and draw the spin configuration to the screen
+
+ // initialize glut
+ glutInit(&argc, argv);
+ glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
+ glutInitWindowSize(L,L);
+ glutCreateWindow("null");
+ glClearColor(0.0,0.0,0.0,0.0);
+ glMatrixMode(GL_PROJECTION);
+ glLoadIdentity();
+ gluOrtho2D(0.0, L, 0.0, L);
+
+ measurement = [&] (const state_t <z2_t, ising_t> *s) {
+ average_M += (double)s->M / (double)N / (double)s->nv;
+ glClear(GL_COLOR_BUFFER_BIT);
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ if (s->spins[i].x == s->R.x) {
+ glColor3f(0.0, 0.0, 0.0);
+ } else {
+ glColor3f(1.0, 1.0, 1.0);
+ }
+ glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
+ }
+ glFlush();
+ };
+ }
+
+ // run wolff for N cluster flips
+ wolff(N, &s, gen_R, measurement, r, silent);
+
+ // tell us what we found!
+ printf("%" PRIcount " Ising runs completed. D = %" PRID ", L = %" PRIL ", T = %g, H = %g, <M> = %g\n", N, D, L, T, H, average_M);
+
+ // free the random number generator
+ gsl_rng_free(r);
+
+ if (draw) {
+ }
+
+ return 0;
+
+}
+
--
cgit v1.2.3-70-g09d2