# Copyright (c) 2017 Weitian LI # MIT license """ Merger tree that represents the merging history of a cluster using the binary tree data structure. """ import os import pickle import logging from matplotlib.figure import Figure from matplotlib.backends.backend_agg import FigureCanvasAgg as FigureCanvas logger = logging.getLogger(__name__) class MergerTree: """ A binary tree that represents the cluster merging history. Description ----------- Merged (M0, z0, age0) ~~~~~~~~~~~~~~~~~~~~~ / \ Main (M1, z1, age1) Sub (M2, z2, age2) ~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~ * "Merged" is the merged cluster from "Main" and "Sub" at redshift z1 (=z2) or cosmic time age1 (=age2). M0 = M1 + M2, M1 > M2 * If "Sub" is missing, then this is an accretion event (not a merger). Parameters ---------- data : dict Data (e.g., mass, redshift, age) associated with this tree node. main, sub : `~MergerTree` Links to the main and sub (optional) clusters between which the merger happens. The ``sub`` cluster may be missing, which is regarded as an accretion event rather than a merger. """ def __init__(self, data, main=None, sub=None): self.data = data self.main = main self.sub = sub def save_mtree(mtree, outfile, clobber=False): """ Pickle the merger tree data and save to file. """ if os.path.exists(outfile): if clobber: os.remove(outfile) logger.warning("Removed existing file: {0}".format(outfile)) else: raise OSError("Output file already exists: {0}".format(outfile)) pickle.dump(mtree, open(outfile, "wb")) logger.info("Saved merger tree to file: {0}".format(outfile)) def read_mtree(infile): mtree = pickle.load(open(infile, "wb")) logger.info("Loaded merger tree from file: {0}".format(infile)) return mtree def show_mtree(mtree): """ Trace the main cluster and show its formation history. """ def _show_event(main, sub=None, parent=None): z = main.data["z"] age = main.data["age"] mass = main.data["mass"] info = "[z=%.3f/t=%.2f]" % (z, age) if sub is None: # Accretion info += " %.3e" % mass if parent is not None: dM = parent.data["mass"] - mass info += " (dM=%.2e)" % dM else: # Merger Msub = sub.data["mass"] Rmass = mass / Msub info += " %.3e <> %.3e (Rm=%.1f)" % (mass, Msub, Rmass) return info i = 0 info = _show_event(main=mtree) print("%2d %s" % (i, info)) while mtree and mtree.main: i += 1 info = _show_event(main=mtree.main, sub=mtree.sub, parent=mtree) print("%2d %s" % (i, info)) mtree = mtree.main def plot_mtree(mtree, outfile, figsize=(12, 8)): """ Plot the cluster merger tree. TODO/XXX: This function needs significant speed optimization! Parameters ---------- mtree : `~MergerTree` The merger tree to be plotted outfile : str Output filename to save the plotted figure figsize : tuple The (width, height) of the plotting figure """ def _plot(tree, ax): if tree is None: return if tree.main is None: # Only plot a point for current tree node x = [tree.data["age"]] y = [tree.data["mass"]] ax.plot(x, y, marker="o", markersize=1.5, color="black", linestyle=None) return # Plot a point for current tree node x = [tree.data["age"]] y = [tree.data["mass"]] ax.plot(x, y, marker="o", markersize=1.5, color="black", linestyle=None) # Plot a line from current tree node to its main node x = [tree.data["age"], tree.main.data["age"]] y = [tree.data["mass"], tree.main.data["mass"]] ax.plot(x, y, color="blue") if tree.sub: # Plot a line between main and sub nodes x = [tree.main.data["age"], tree.sub.data["age"]] y = [tree.main.data["mass"], tree.sub.data["mass"]] ax.plot(x, y, color="green", linewidth=1, alpha=0.8) # Recursively plot the descendant nodes _plot(tree.main, ax) _plot(tree.sub, ax) fig = Figure(figsize=figsize) canvas = FigureCanvas(fig) ax = fig.add_subplot(1, 1, 1) _plot(mtree, ax=ax) ax.set_xlabel("Cosmic time [Gyr]") ax.set_ylabel("Mass [Msun]") ax.set_xlim((0, mtree.data["age"])) ax.set_ylim((0, mtree.data["mass"])) fig.tight_layout() canvas.print_figure(outfile)