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authorJaron Kent-Dobias <jaron@kent-dobias.com>2018-07-22 01:20:29 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2018-07-22 01:20:29 -0400
commitdd2c47db3512658858685c83dd772603203aaab1 (patch)
treee029032fb62317237482844af9f1bbd3b5545c45 /src
parente74305e932e45c0d2e69fd1c0a7313662fc47375 (diff)
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potts now fully functional
Diffstat (limited to 'src')
-rw-r--r--src/wolff_On.cpp33
-rw-r--r--src/wolff_potts.cpp82
2 files changed, 54 insertions, 61 deletions
diff --git a/src/wolff_On.cpp b/src/wolff_On.cpp
index 32a6fc4..a59876f 100644
--- a/src/wolff_On.cpp
+++ b/src/wolff_On.cpp
@@ -1,5 +1,6 @@
#include <getopt.h>
+
#ifdef HAVE_GLUT
#include <GL/glut.h>
#endif
@@ -7,6 +8,7 @@
#include <wolff.h>
#include <correlation.h>
#include <measure.h>
+#include <colors.h>
typedef orthogonal_t <N_COMP, double> orthogonal_R_t;
typedef vector_t <N_COMP, double> vector_R_t;
@@ -32,36 +34,6 @@ 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;
@@ -81,7 +53,6 @@ int main(int argc, char *argv[]) {
int order = 2;
int opt;
- q_t J_ind = 0;
q_t H_ind = 0;
double epsilon = 1;
diff --git a/src/wolff_potts.cpp b/src/wolff_potts.cpp
index 9d22ea4..3b55472 100644
--- a/src/wolff_potts.cpp
+++ b/src/wolff_potts.cpp
@@ -1,29 +1,37 @@
#include <getopt.h>
+
+#ifdef HAVE_GLUT
#include <GL/glut.h>
+#endif
// include your group and spin space
#include <symmetric.h>
#include <potts.h>
+#include <colors.h>
// include wolff.h
#include <wolff.h>
+typedef state_t <symmetric_t<POTTSQ>, potts_t<POTTSQ>> sim_t;
+
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;
double T = 2.26918531421;
- double H = 0.0;
+ double *H_vec = (double *)calloc(MAX_Q, sizeof(double));
bool silent = false;
bool draw = false;
+ unsigned int window_size = 512;
int opt;
+ q_t H_ind = 0;
- 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);
@@ -37,15 +45,24 @@ int main(int argc, char *argv[]) {
case 'T': // temperature
T = atof(optarg);
break;
- case 'H': // external field
- H = atof(optarg);
+ case 'H': // external field. nth call couples to state n
+ H_vec[H_ind] = atof(optarg);
+ H_ind++;
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);
}
@@ -56,41 +73,49 @@ int main(int argc, char *argv[]) {
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 {
+ std::function <double(potts_t<POTTSQ>, potts_t<POTTSQ>)> Z = [] (potts_t<POTTSQ> s1, potts_t<POTTSQ> s2) -> double {
if (s1.x == s2.x) {
return 1.0;
} else {
- return -1.0;
+ return 0.0;
}
};
// define spin-field coupling
- std::function <double(ising_t)> B = [=] (ising_t s) -> double {
- if (s.x) {
- return -H;
- } else {
- return H;
- }
+ std::function <double(potts_t<POTTSQ>)> B = [=] (potts_t<POTTSQ> s) -> double {
+ return H_vec[s.x];
};
// initialize state object
- state_t <z2_t, ising_t> s(D, L, T, Z, B);
+ state_t <symmetric_t<POTTSQ>, potts_t<POTTSQ>> 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;
+ std::function <symmetric_t<POTTSQ>(gsl_rng *, const sim_t *)> gen_R = [] (gsl_rng *r, const sim_t *s) -> symmetric_t<POTTSQ> {
+ symmetric_t<POTTSQ> rot;
+ init(&rot);
+
+ for (int i = POTTSQ - 1; i >= 0; i--) {
+ if (rot.perm[i] == i) {
+ q_t j = gsl_rng_uniform_int(r, i + 1);
+ if (rot.perm[j] == j) {
+ q_t tmp = rot.perm[i];
+ rot.perm[i] = rot.perm[j];
+ rot.perm[j] = tmp;
+ }
+ }
+ }
+
return rot;
};
// define function that updates any number of measurements
- std::function <void(const state_t <z2_t, ising_t> *)> measurement;
+ std::function <void(const sim_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;
+ measurement = [&] (const sim_t *s) {
+ average_M += (double)s->M[0] / (double)N / (double)s->nv;
};
} else {
// a more complex example: measure the average magnetization, and draw the spin configuration to the screen
@@ -98,22 +123,19 @@ int main(int argc, char *argv[]) {
// 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();
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;
+ measurement = [&] (const sim_t *s) {
+ average_M += (double)s->M[0] / (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);
- }
+ potts_t<POTTSQ> tmp_s = act_inverse(s->R, s->spins[i]);
+ glColor3f(hue_to_R(tmp_s.x * 2 * M_PI / POTTSQ), hue_to_G(tmp_s.x * 2 * M_PI / POTTSQ), hue_to_B(tmp_s.x * 2 * M_PI / POTTSQ));
glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1);
}
glFlush();
@@ -124,7 +146,7 @@ int main(int argc, char *argv[]) {
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);
+ printf("%" PRIcount " %d-Potts runs completed. D = %" PRID ", L = %" PRIL ", T = %g, H = %g, <M> = %g\n", N, POTTSQ, D, L, T, H_vec[0], average_M);
// free the random number generator
gsl_rng_free(r);