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# Copyright (c) 2017-2018 Weitian LI <liweitianux@live.com>
# MIT license
"""
Merger tree that represents the merging history of a cluster using
the binary tree data structure.
"""
import logging
from ...utils.io import pickle_dump, pickle_load
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 itermain(self):
"""
Iterate by tracing the main cluster.
"""
maintree = self
subtree = None
while maintree:
main = maintree.data
if subtree is not None:
sub = subtree.data
else:
sub = {}
yield (main, sub)
subtree = maintree.sub
maintree = maintree.main
@property
def lmain(self):
"""
Return the length (i.e., number of events) along the main cluster.
"""
return len(list(self.itermain()))
def imain(self, idx):
"""
Trace the main cluster to locate the idx-th (0-based) event, and
return its data (both the main and sub clusters).
Parameters
----------
idx : int
The event index (0-based) along the main cluster to be retrieved.
Returns
-------
(main, sub) : dict
The data dictionaries of the main and sub clusters. The ``sub``
dictionary may be ``None`` if it is an accretion event.
"""
for main, sub in self.itermain():
if idx == 0:
return (main, sub)
idx -= 1
raise IndexError("index out of range: %d" % idx)
def save_mtree(mtree, outfile, clobber=False):
"""
Pickle the merger tree data and save to file.
"""
pickle_dump(mtree, outfile=outfile, clobber=clobber)
logger.info("Saved merger tree to file: {0}".format(outfile))
def read_mtree(infile):
mtree = pickle_load(infile)
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.
"""
parent = None
for i, (main, sub) in enumerate(mtree.itermain()):
info = "%2d: " % i
z = main["z"]
age = main["age"]
info += "<z=%.3f/t=%05.2f> " % (z, age)
mass = main["mass"]
if sub:
# merger event
Msub = sub["mass"]
Rmass = mass / Msub
info += "[%.3e @@@ %.3e] (Rm=%04.1f)" % (mass, Msub, Rmass)
elif parent:
# accretion event
dM = parent["mass"] - mass
info += " %.3e + %.3e " % (mass, dM)
else:
# root cluster
info += " %.3e" % mass
if parent:
info += " <dz=%.3f/dt=%.2f>" % (z-parent["z"], parent["age"]-age)
parent = main
print(info)
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)
# Import matplotlib when needed
from matplotlib.figure import Figure
from matplotlib.backends.backend_agg import FigureCanvasAgg as FigureCanvas
fig = Figure(figsize=figsize)
canvas = FigureCanvas(fig)
ax = fig.add_subplot(1, 1, 1)
print("Plotting merger tree, may take a while ...")
_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)
print("Saved plot to file: %s" % outfile)
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