from __future__ import annotations from typing import List, Tuple, Dict import argparse, math, numpy as np, os import matplotlib.pyplot as plt import matplotlib.ticker as mtick from multiprocessing import Pool, cpu_count from pathlib import Path import squish.ordered as order from squish import Simulation, DomainParams from squish.common import OUTPUT_DIR def order_process(domain: DomainParams) -> Tuple[float, float, float]: energies = [] configs = order.configurations(domain) for config in configs: energies.append( 2 * domain.w * domain.h + 2 * math.pi * domain.n * (domain.r ** 2 - 2 * domain.r * order.avg_radius(domain, config)) ) return domain.w, min(energies), max(energies) def get_ordered_energies(orig_domain: DomainParams, widths: np.ndarray) -> Dict: data = {} domains = [ DomainParams(orig_domain.n, w, orig_domain.h, orig_domain.r) for w in widths ] with Pool(cpu_count()) as pool: mins, maxes = {}, {} for i, res in enumerate(pool.imap_unordered(order_process, domains)): mins[res[0]] = res[1] maxes[res[0]] = res[2] hashes = int(21 * i / len(widths)) print( f'Generating at width {res[0]:.02f}... |{"#"*hashes}{" "*(20-hashes)}|' + f" {i+1}/{len(widths)} completed.", flush=True, end="\r", ) print(flush=True) data["min"] = list([x[1] for x in sorted(mins.items())]) data["max"] = list([x[1] for x in sorted(maxes.items())]) return data def eq_file_process(file: Path) -> Tuple[float, List[float], List[float]]: sim, frames = Simulation.load(file) alls = [] for frame_info in frames: alls.append( [ frame_info["energy"], np.var(frame_info["stats"]["avg_radius"]) <= 1e-8, np.count_nonzero(frame_info["stats"]["site_edge_count"] != 6), ] ) sim, frames = Simulation.load(file) sim.frames = list(frames) counts = sim.get_distinct() distincts = [] for j, frame_info in enumerate(sim.frames): distincts.append( [ frame_info["energy"], np.var(frame_info["stats"]["avg_radius"]) <= 1e-8, np.count_nonzero(frame_info["stats"]["site_edge_count"] != 6), counts[j], ] ) return sim.domain.w, alls, distincts def get_equilibria_data(filepath: Path) -> Tuple[Dict, numpy.ndarray, DomainParams]: data = {"all": {}, "distinct": {}} files = list(Path(filepath).iterdir()) with Pool(cpu_count()) as pool: for i, res in enumerate(pool.imap_unordered(eq_file_process, files)): data["all"][res[0]] = res[1] data["distinct"][res[0]] = res[2] hashes = int(21 * i / len(files)) print( f'Loading simulations... |{"#"*hashes}{" "*(20-hashes)}|' + f" {i+1}/{len(files)} simulations loaded.", flush=True, end="\r", ) print(flush=True) sim, frames = Simulation.load(files[0]) widths = np.asarray(sorted(data["all"])) domain = DomainParams(sim.domain.n, widths[-1], sim.domain.h, sim.domain.r) return data, widths, domain def axis_settings(ax, widths): ax.invert_xaxis() ax.grid(zorder=0) ax.set_xticks([round(w, 2) for w in widths[::-2]]) ax.set_xticklabels(ax.get_xticks(), rotation=90) plt.subplots_adjust(0.07, 0.12, 0.97, 0.9) def main(): # Loading arguments. parser = argparse.ArgumentParser("Outputs width search data into diagrams") parser.add_argument( "sims_path", metavar="path/to/data", help="folder that contains simulation files, or cached data file.", ) parser.add_argument( "-q", "--quiet", dest="quiet", action="store_true", default=False, help="suppress all normal output", ) args = parser.parse_args() data, widths, domain = get_equilibria_data(Path(args.sims_path)) order_data = get_ordered_energies(domain, widths) fig_folder = OUTPUT_DIR / Path(f"ShrinkEnergyComparison - N{domain.n}") fig_folder.mkdir(exist_ok=True) # Torus minimum energies used as reference. # Probability of disorder diagram. fig, ax = plt.subplots(figsize=(16, 8)) all_disorder_count = [] for width in widths: equal_shape = list([c[1] for c in data["all"][width]]) all_disorder_count.append( 100 * equal_shape.count(False) / len(data["all"][width]) ) ax.plot(widths, all_disorder_count) axis_settings(ax, widths) ax.yaxis.set_major_formatter(mtick.PercentFormatter()) ax.title.set_text(f"Probability of Disorder - N{domain.n}") ax.set_xlabel("Width") ax.set_ylabel("Disordered Equilibria") boa_y_min = round(min(all_disorder_count) / 20) * 20 - 5 ax.set_yticks(np.arange(boa_y_min, 100.01, 2.5)) fig.savefig(fig_folder / "Probability of Disorder.png") # Density of States diagram. fig, ax = plt.subplots(figsize=(16, 8)) distinct_ordered, distinct_unordered = [], [] for width in widths: equal_shape = list([c[1] for c in data["distinct"][width]]) distinct_ordered.append(equal_shape.count(True)) distinct_unordered.append(equal_shape.count(False)) ax2 = ax.twinx() ax.plot(widths, distinct_unordered, label="Unordered Equilibria", color="C0") ax2.plot(widths, distinct_ordered, label="Ordered Equilibria", color="C1") axis_settings(ax, widths) ax.title.set_text(f"Density of States - N{domain.n}") ax.set_xlabel("Width") ax.set_ylabel("Number of States (Disordered)", color="C0") ax2.set_ylabel("Number of States (Ordered)", color="C1") dos_y_max_unorder = 1.05 * max(distinct_unordered) dos_y_max_order = 1.05 * max(distinct_ordered) ax.set_yticks(np.linspace(0, dos_y_max_unorder, 20).astype(int)) # ax.set_yticks(np.arange(0, dos_y_max_unorder, round(dos_y_max_unorder/200, 1)*10)) ax2.set_yticks(np.arange(0, dos_y_max_order)) fig.savefig(fig_folder / "Density Of States.png") # Defect density diagram fig, ax = plt.subplots(figsize=(16, 8)) defects = [] for width in widths: defects.append( sum([c[2] for c in data["all"][width] if not c[1]]) / len(data["all"][width]) ) ax.plot(widths, defects) axis_settings(ax, widths) ax.title.set_text(f"Average Defects - N{domain.n}") ax.set_xlabel("Width") ax.set_ylabel("Defects") ax.set_yticks(np.arange(0, 1 + max(defects), 0.5)) fig.savefig(fig_folder / "Defects.png") # Bifurcation diagram fig, ax = plt.subplots(figsize=(16, 8)) ordered_energies, unordered_energies = [], [] for width in widths: ordered_energies.append([c[0] for c in data["distinct"][width] if c[1]]) unordered_energies.append([c[0] for c in data["distinct"][width] if not c[1]]) for i in range(len(order_data["min"])): ordered_energies[i].append(order_data["min"][i]) ordered_energies[i].append(order_data["max"][i]) null_unorder = [] for i, energies in enumerate(unordered_energies): if len(energies) == 0: null_unorder.append(i) energies.append(order_data["min"][i]) min_order = np.asarray([min(width) for width in ordered_energies]) max_order = np.asarray([max(width) for width in ordered_energies]) min_unorder = np.asarray([min(width) for width in unordered_energies]) max_unorder = np.asarray([max(width) for width in unordered_energies]) offset = np.array(order_data["min"]) # offset = np.array(min_order) min_unorder_off = min_unorder - offset max_unorder_off = max_unorder - offset ax.plot(widths, min_order - offset, color="C1") # ax.plot(widths, max_order - offset, color='C1', linestyle='dotted') ax.plot(widths, min_unorder_off, color="C0") ax.plot(widths, max_unorder_off, color="C0", linestyle="dotted") axis_settings(ax, widths) for i in null_unorder: ax.scatter(widths[i], 0, marker="X", color="blue", s=50, zorder=4) # ax.scatter(widths[i], max_unorder[i] - offset[i], # marker='X', edgecolors="blue", facecolors='none', s=100, zorder=4) ax.title.set_text(f"Reduced Energy vs. Width - N{domain.n}") ax.set_xlabel("Width") ax.set_ylabel("Reduced Energy") bif_y_max = np.max(np.abs(np.concatenate((min_unorder_off, max_unorder_off)))) bif_top = np.arange( 0, bif_y_max, round(bif_y_max / 20, -math.floor(math.log10(bif_y_max / 20))) ) ax.set_yticks(np.concatenate((-bif_top[1:][::-1], bif_top))) fig.savefig(fig_folder / "Bifurcation.png") print(f"Wrote to {fig_folder}.") if __name__ == "__main__": os.environ["QT_LOGGING_RULES"] = "*=false" try: main() except KeyboardInterrupt: print("Program terminated by user.")