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authorJaron Kent-Dobias <jaron@kent-dobias.com>2018-10-10 21:45:32 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2018-10-10 21:45:32 -0400
commita43ff1f98e9b9814f858bccb11c174b418458491 (patch)
treeae7e094d914eddb8a1ae9548420ba8c2f329ffae /examples/src/models/roughening
parent6e264d243f0b29d90e90b605b6cdeab8227129c9 (diff)
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big rearrangement of files to make libraries and example (research) files clearer, and changed to c++ std lib random numbers
Diffstat (limited to 'examples/src/models/roughening')
-rw-r--r--examples/src/models/roughening/CMakeLists.txt21
-rw-r--r--examples/src/models/roughening/dihedral_inf.hpp47
-rw-r--r--examples/src/models/roughening/height.hpp75
-rw-r--r--examples/src/models/roughening/wolff_cgm.cpp167
-rw-r--r--examples/src/models/roughening/wolff_dgm.cpp164
5 files changed, 474 insertions, 0 deletions
diff --git a/examples/src/models/roughening/CMakeLists.txt b/examples/src/models/roughening/CMakeLists.txt
new file mode 100644
index 0000000..51a8644
--- /dev/null
+++ b/examples/src/models/roughening/CMakeLists.txt
@@ -0,0 +1,21 @@
+
+add_executable(wolff_dgm wolff_dgm.cpp)
+add_executable(wolff_cgm wolff_cgm.cpp)
+
+find_library(GL NAMES GL)
+find_library(GLU NAMES GLU)
+find_library(GLUT NAMES glut)
+
+if (${GLUT} MATCHES "GLUT-NOTFOUND")
+ target_link_libraries(wolff_dgm wolff wolff_examples)
+ target_link_libraries(wolff_cgm wolff wolff_examples)
+else()
+ target_compile_definitions(wolff_dgm PUBLIC HAVE_GLUT)
+ target_compile_definitions(wolff_cgm PUBLIC HAVE_GLUT)
+
+ target_link_libraries(wolff_dgm wolff wolff_examples glut GL GLU)
+ target_link_libraries(wolff_cgm wolff wolff_examples glut GL GLU)
+endif()
+
+install(TARGETS wolff_dgm wolff_cgm DESTINATION ${CMAKE_INSTALL_BINDIR})
+
diff --git a/examples/src/models/roughening/dihedral_inf.hpp b/examples/src/models/roughening/dihedral_inf.hpp
new file mode 100644
index 0000000..19fa195
--- /dev/null
+++ b/examples/src/models/roughening/dihedral_inf.hpp
@@ -0,0 +1,47 @@
+
+#include <wolff/types.h>
+#include <cmath>
+#include "height.hpp"
+
+template <class T>
+class dihedral_inf_t {
+ public:
+ bool is_reflection;
+ T x;
+
+ dihedral_inf_t() : is_reflection(false), x(0) {}
+ dihedral_inf_t(bool x, T y) : is_reflection(x), x(y) {}
+
+ height_t<T> act(const height_t<T>& h) const {
+ if (this->is_reflection) {
+ return height_t(this->x - h.x);
+ } else {
+ return height_t(this->x + h.x);
+ }
+ }
+
+ dihedral_inf_t<T> act(const dihedral_inf_t<T>& r) const {
+ if (this->is_reflection) {
+ return dihedral_inf_t<T>(!r.is_reflection, this->x - r.x);
+ } else {
+ return dihedral_inf_t<T>(r.is_reflection, this->x + r.x);
+ }
+ }
+
+ height_t<T> act_inverse(const height_t<T>& h) const {
+ if (this->is_reflection) {
+ return this->act(h);
+ } else {
+ return height_t(h.x - this->x);
+ }
+ }
+
+ dihedral_inf_t<T> act_inverse(const dihedral_inf_t<T>& r) const {
+ if (this->is_reflection) {
+ return this->act(r);
+ } else {
+ return dihedral_inf_t<T>(r.is_reflection, r.x - this->x);
+ }
+ }
+};
+
diff --git a/examples/src/models/roughening/height.hpp b/examples/src/models/roughening/height.hpp
new file mode 100644
index 0000000..4023063
--- /dev/null
+++ b/examples/src/models/roughening/height.hpp
@@ -0,0 +1,75 @@
+
+#pragma once
+
+#include <cmath>
+#include <stdio.h>
+
+#include <wolff/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 <class T>
+struct height_t {
+ T x;
+
+ typedef T M_t;
+ typedef double F_t;
+
+ height_t() : x(0) {}
+
+ height_t(T x) : x(x) {}
+
+ inline T operator*(v_t a) const {
+ return x * a;
+ }
+
+ inline double operator*(double a) const {
+ return x * a;
+ }
+
+ inline T operator-(const height_t& h) const {
+ return x - h.x;
+ }
+};
+
+template <class T>
+inline T& operator+=(T& M, const height_t<T> &h) {
+ M += h.x;
+
+ return M;
+}
+
+template <class T>
+inline T& operator-=(T& M, const height_t<T> &h) {
+ M -= h.x;
+
+ return M;
+}
+
+double norm_squared(double h) {
+ return pow(h, 2);
+}
+
+template <class T>
+void write_magnetization(T M, FILE *outfile) {
+ fwrite(&M, sizeof(T), 1, outfile);
+}
+
diff --git a/examples/src/models/roughening/wolff_cgm.cpp b/examples/src/models/roughening/wolff_cgm.cpp
new file mode 100644
index 0000000..65f8d66
--- /dev/null
+++ b/examples/src/models/roughening/wolff_cgm.cpp
@@ -0,0 +1,167 @@
+
+#include <getopt.h>
+
+#ifdef HAVE_GLUT
+#include <GL/glut.h>
+#endif
+
+// include your group and spin space
+#include "dihedral_inf.hpp"
+#include "height.hpp"
+
+#include <randutils/randutils.hpp>
+
+// include wolff.h
+#include <wolff.hpp>
+
+typedef state_t <dihedral_inf_t<double>, height_t<double>> sim_t;
+
+int main(int argc, char *argv[]) {
+
+ count_t N = (count_t)1e4;
+
+ D_t D = 2;
+ L_t L = 128;
+ double T = 2.26918531421;
+ double H = 0;
+
+ bool silent = false;
+ bool draw = false;
+ unsigned int window_size = 512;
+ double epsilon = 1;
+
+ int opt;
+
+ while ((opt = getopt(argc, argv, "N:D:L:T:H:sdw:e:")) != -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 = atof(optarg);
+ break;
+ case 'e': // external field. nth call couples to state n
+ epsilon = atof(optarg);
+ break;
+ case 's': // don't print anything during simulation. speeds up slightly
+ 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);
+ }
+ }
+
+ // initialize random number generator
+ randutils::auto_seed_128 seeds;
+ std::mt19937 rng{seeds};
+
+ // define spin-spin coupling
+ std::function <double(const height_t<double>&, const height_t<double>&)> Z = [] (const height_t<double>& h1, const height_t<double>& h2) -> double {
+ return -pow(h1.x - h2.x, 2);
+ };
+
+ // define spin-field coupling
+ std::function <double(height_t<double>)> B = [=] (height_t<double> h) -> double {
+ return -H * pow(h.x, 2);;
+ };
+
+ // initialize state object
+ sim_t s(D, L, T, Z, B);
+
+ // define function that generates self-inverse rotations
+ std::function <dihedral_inf_t<double>(std::mt19937&, height_t<double>)> gen_R = [=] (std::mt19937& r, height_t<double> h) -> dihedral_inf_t<double> {
+ dihedral_inf_t<double> rot;
+ rot.is_reflection = true;
+ std::normal_distribution<double> dist(0.0,1.0);
+
+ double amount = epsilon * dist(r);
+
+ rot.x = 2 * h.x + amount;
+
+ return rot;
+ };
+
+ // define function that updates any number of measurements
+ std::function <void(const sim_t&)> measurement;
+
+ double average_M = 0;
+ if (!draw) {
+ // a very simple example: measure the average magnetization
+ measurement = [&] (const sim_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
+
+#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);
+
+ measurement = [&] (const sim_t& s) {
+ average_M += (double)s.M / (double)N / (double)s.nv;
+ glClear(GL_COLOR_BUFFER_BIT);
+ double max_h = INT64_MIN;
+ double min_h = INT64_MAX;
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ double cur_h = (s.R.act_inverse(s.spins[i])).x;
+ if (cur_h < min_h) {
+ min_h = cur_h;
+ }
+ if (cur_h > max_h) {
+ max_h = cur_h;
+ }
+ }
+
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ double cur_h = (s.R.act_inverse(s.spins[i])).x;
+ double mag = ((double)(cur_h - min_h)) / ((double)(max_h - min_h));
+ glColor3f(mag, mag, mag);
+ glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
+ }
+ glFlush();
+ };
+#endif
+ }
+
+ // run wolff for N cluster flips
+ wolff(N, s, gen_R, measurement, rng, silent);
+
+ // tell us what we found!
+ printf("%" PRIcount " DGM 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
+
+ if (draw) {
+ }
+
+ return 0;
+
+}
+
diff --git a/examples/src/models/roughening/wolff_dgm.cpp b/examples/src/models/roughening/wolff_dgm.cpp
new file mode 100644
index 0000000..8395382
--- /dev/null
+++ b/examples/src/models/roughening/wolff_dgm.cpp
@@ -0,0 +1,164 @@
+
+#include <getopt.h>
+
+#ifdef HAVE_GLUT
+#include <GL/glut.h>
+#endif
+
+// include your group and spin space
+#include "dihedral_inf.hpp"
+#include "height.hpp"
+
+#include <randutils/randutils.hpp>
+
+// include wolff.h
+#include <wolff.hpp>
+
+typedef state_t <dihedral_inf_t<int64_t>, height_t<int64_t>> sim_t;
+
+int main(int argc, char *argv[]) {
+
+ count_t N = (count_t)1e4;
+
+ D_t D = 2;
+ L_t L = 128;
+ double T = 2.26918531421;
+ double H = 0;
+
+ bool silent = false;
+ bool draw = false;
+ unsigned int window_size = 512;
+ uint64_t epsilon = 1;
+
+ int opt;
+
+ while ((opt = getopt(argc, argv, "N:D:L:T:H:sdw:e:")) != -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 = atof(optarg);
+ break;
+ case 'e': // external field. nth call couples to state n
+ epsilon = atof(optarg);
+ break;
+ case 's': // don't print anything during simulation. speeds up slightly
+ 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);
+ }
+ }
+
+ // initialize random number generator
+ randutils::auto_seed_128 seeds;
+ std::mt19937 rng{seeds};
+
+ // define spin-spin coupling
+ std::function <double(const height_t<int64_t>&, const height_t<int64_t>&)> Z = [] (const height_t<int64_t>& h1, const height_t<int64_t>& h2) -> double {
+ return -pow(h1.x - h2.x, 2);
+ };
+
+ // define spin-field coupling
+ std::function <double(const height_t<int64_t> &)> B = [=] (const height_t<int64_t>& h) -> double {
+ return -H * pow(h.x, 2);;
+ };
+
+ // initialize state object
+ sim_t s(D, L, T, Z, B);
+
+ // define function that generates self-inverse rotations
+ std::function <dihedral_inf_t<int64_t>(std::mt19937&, height_t<int64_t>)> gen_R = [=] (std::mt19937& r, height_t<int64_t> h) -> dihedral_inf_t<int64_t> {
+ dihedral_inf_t<int64_t> rot;
+ rot.is_reflection = true;
+
+ std::uniform_int_distribution<int64_t> dist(-epsilon,epsilon);
+
+ rot.x = 2 * h.x + dist(r);
+
+ return rot;
+ };
+
+ // define function that updates any number of measurements
+ std::function <void(const sim_t&)> measurement;
+
+ double average_M = 0;
+ if (!draw) {
+ // a very simple example: measure the average magnetization
+ measurement = [&] (const sim_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
+
+#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);
+
+ measurement = [&] (const sim_t& s) {
+ average_M += (double)s.M / (double)N / (double)s.nv;
+ glClear(GL_COLOR_BUFFER_BIT);
+ int64_t max_h = INT64_MIN;
+ int64_t min_h = INT64_MAX;
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ int64_t cur_h = (s.R.act_inverse(s.spins[i])).x;
+ if (cur_h < min_h) {
+ min_h = cur_h;
+ }
+ if (cur_h > max_h) {
+ max_h = cur_h;
+ }
+ }
+
+ for (v_t i = 0; i < pow(L, 2); i++) {
+ int64_t cur_h = (s.R.act_inverse(s.spins[i])).x;
+ double mag = ((double)(cur_h - min_h)) / ((double)(max_h - min_h));
+ glColor3f(mag, mag, mag);
+ glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
+ }
+ glFlush();
+ };
+#endif
+ }
+
+ // run wolff for N cluster flips
+ wolff(N, s, gen_R, measurement, rng, silent);
+
+ // tell us what we found!
+ printf("%" PRIcount " DGM runs completed. D = %" PRID ", L = %" PRIL ", T = %g, H = %g, <M> = %g\n", N, D, L, T, H, average_M);
+
+ if (draw) {
+ }
+
+ return 0;
+
+}
+