From 734dea28279ce7272e6ed23f821c69c225e2d947 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 14 Feb 2020 14:22:59 -0500 Subject: Split up Ising-related functions and added an executable for measuring Ising energy autocorrelation time. --- ising.cpp | 280 -------------------------------------------------------------- 1 file changed, 280 deletions(-) delete mode 100644 ising.cpp (limited to 'ising.cpp') diff --git a/ising.cpp b/ising.cpp deleted file mode 100644 index 838ec9e..0000000 --- a/ising.cpp +++ /dev/null @@ -1,280 +0,0 @@ - -#include "smiley.hpp" -#include "space_wolff.hpp" -#include "torus_symmetries.hpp" -#include - -const unsigned D = 2; -typedef Model, signed> model; - -class animation : public measurement, signed> { -private: - uint64_t t1; - uint64_t t2; - unsigned n; - unsigned tmp; - bool color; - -public: - animation(double L, unsigned w, bool tcolor, int argc, char* argv[]) { - color = tcolor; - t1 = 0; - t2 = 0; - n = 0; - - glutInit(&argc, argv); - glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB); - glutInitWindowSize(w, w); - glutCreateWindow("wolff"); - glClearColor(0.0, 0.0, 0.0, 0.0); - glMatrixMode(GL_PROJECTION); - glLoadIdentity(); - gluOrtho2D(0, L, 0, L); - } - - void post_cluster(const model& m) override { - glClearColor(1.0, 1.0, 1.0, 1.0); - glClear(GL_COLOR_BUFFER_BIT); - for (const Spin* s : m.s) { - if (s->s == 1) { - if (color) - glColor3f(1.0, 0.0, 0.0); - else - glColor3f(1.0, 1.0, 1.0); - } else if (s->s == -1) { - if (color) - glColor3f(0.0, 0.0, 1.0); - else - glColor3f(0.0, 0.0, 0.0); - } - Vector xx = m.s0.inverse().act(*s).x; - glRecti(xx(0), xx(1), xx(0) + 1, xx(1) + 1); - } - glFlush(); - } -}; - -int main(int argc, char* argv[]) { - - unsigned L = 32; - unsigned N = 1000; - unsigned mod = 0; - unsigned multi = 1e4; - double mag = 0.5; - double pop = 1.0; - double T = 2.0 / log(1.0 + sqrt(2.0)); - double H = 1.0; - double ε = 0.1; - bool color = false; - - int opt; - - while ((opt = getopt(argc, argv, "N:L:T:H:e:m:M:r:p:c")) != -1) { - switch (opt) { - case 'N': - N = (unsigned)atof(optarg); - break; - case 'L': - L = atoi(optarg); - break; - case 'T': - T = atof(optarg); - break; - case 'H': - H = atof(optarg); - break; - case 'e': - ε = atof(optarg); - break; - case 'm': - mod = atoi(optarg); - break; - case 'M': - multi = atoi(optarg); - break; - case 'r': - mag = atof(optarg); - break; - case 'p': - pop = atof(optarg); - break; - case 'c': - color = true; - break; - default: - exit(1); - } - } - - double pZ = 1.0 - exp(-1.0 / T); - - std::function&, const Spin&)> Z = - [L, pZ](const Spin& s1, const Spin& s2) -> double { - bool old_one_one = false; - bool old_many_ones = false; - bool old_any_two = false; - - Vector old_diff = diff(L, s1.x, s2.x); - - for (unsigned i = 0; i < D; i++) { - if (old_diff(i) == 1 && !old_one_one) { - old_one_one = true; - } else if (old_diff(i) == 1 && old_one_one) { - old_many_ones = true; - } else if (old_diff(i) > 1) { - old_any_two = true; - } - } - - bool were_on_someone = !old_one_one && !old_any_two; - bool were_nearest_neighbors = old_one_one && !old_many_ones && !old_any_two; - - if (were_on_someone) { - return -std::numeric_limits::infinity(); - ; - } else if (were_nearest_neighbors) { - return s1.s * s2.s; - } else { - return 0.0; - } - }; - - std::function)> B; - - if (mod == 0) { - B = [L, H](const Spin& s) -> double { - return H * s.s * smiley[15 - s.x(1) * 16 / L][s.x(0) * 16 / L]; - }; - } else { - B = [mod, L, H](const Spin& s) -> double { - return H * s.s * sin(s.x(0) * mod * 2 * M_PI / L); - }; - } - - - Model, signed> ising(L, Z, B); - - Rng rng; - - unsigned n = 0; - unsigned up = 0; - unsigned down = 0; - for (unsigned i = 0; i < L; i++) { - for (unsigned j = 0; j < L; j++) { - if (rng.uniform(0, 1) < pop) { - Spin* ss = new Spin(); - ss->x = {i, j}; - if (rng.uniform(0, 1) < mag) { - ss->s = 1; - up++; - } else { - ss->s = -1; - down++; - } - ising.s.push_back(ss); - ising.dict.insert(ss); - n++; - } - } - } - - std::vector> torusVectors = torus_vecs(L); - std::vector> torusMatrices = torus_mats(); - - Gen, signed> g = - [L, &torusVectors, - &torusMatrices](Model, signed>& M, - Rng& r) -> Transformation, signed>* { - Matrix m; - Vector t; - - m = r.pick(torusMatrices); - t(0) = r.uniform(0, L); - t(1) = r.uniform(0, L); - t = t - m * t; - - TorusGroup g = TorusGroup({(signed)L, t, m}); - - Spin* ss = r.pick(M.s); - Spin s2 = g.act(*ss); - - while (ss->x(0) == s2.x(0) && ss->x(1) == s2.x(1)) { - ss = r.pick(M.s); - s2 = g.act(*ss); - } - - std::set*> s2s = M.dict.at(s2.x); - - if (s2s.empty()) { - return new SpinFlip, signed>(M, g, ss); - } else { - return new PairFlip, signed>(M, g, ss, *s2s.begin()); - } - }; - - animation A(L, 750, color, argc, argv); - - ising.wolff(T, {g}, A, N); - - /* - for (unsigned i = 0; i < L; i++) { - for (unsigned j = 0; j < L; j++) { - if (i < L / 2) { - ising.s.push_back({{i, j}, 1}); - } else { - ising.s.push_back({{i, j}, -1}); - } - ising.dict.record({i, j}, n); - n++; - } - } - */ - - /* - while (true) { - ising.wolff(T, N, rng); - std::array τ = ising.Eq.τ(); - std::cout << ising.Eq.num_added() << " " << τ[0] << " " << τ[1] << " " << τ[1] / τ[0] << "\n"; - if (τ[1] / τ[0] < ε && τ[0] * multi < ising.Eq.num_added()) { - break; - } - } - - std::ofstream outfile; - outfile.open("out.dat", std::ios::app); - - std::array act = ising.Eq.τ(); - std::vector ρ = ising.Eq.ρ(); - - outfile << L << " " << T << " " << mod << " " << H << " " << ising.Eq.num_added() << " " << - ising.Cq.avg() << " " << ising.Cq.serr() << " " << act[0] << " " << act[1]; for (double ρi : ρ) { - outfile << " " << ρi; - } - outfile << "\n"; - - std::ofstream snapfile; - snapfile.open("snap.dat"); - - std::vector> snap(L); - for (std::vector& line : snap) { - line.resize(L); - } - - for (spin s : ising.s) { - spin snew = ising.s0.inverse().act(s); - snap[snew.x(0)][snew.x(1)] = snew.s; - } - - for (std::vector row : snap) { - for (signed s : row) { - snapfile << s << " "; - } - snapfile << "\n"; - } - - snapfile.close(); - */ - - return 0; -} - -- cgit v1.2.3-70-g09d2