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# Copyright 2005-2008 by Frank Kauff & Cymon J. Cox. All rights reserved. | |
# | |
# This file is part of the Biopython distribution and governed by your | |
# choice of the "Biopython License Agreement" or the "BSD 3-Clause License". | |
# Please see the LICENSE file that should have been included as part of this | |
# package. | |
"""Tree class to handle phylogenetic trees. | |
Provides a set of methods to read and write newick-format tree descriptions, | |
get information about trees (monphyly of taxon sets, congruence between trees, | |
common ancestors,...) and to manipulate trees (re-root trees, split terminal | |
nodes). | |
""" | |
import random | |
import sys | |
from . import Nodes | |
PRECISION_BRANCHLENGTH = 6 | |
PRECISION_SUPPORT = 6 | |
NODECOMMENT_START = "[&" | |
NODECOMMENT_END = "]" | |
class TreeError(Exception): | |
"""Provision for the management of Tree exceptions.""" | |
pass | |
class NodeData: | |
"""Store tree-relevant data associated with nodes (e.g. branches or otus).""" | |
def __init__(self, taxon=None, branchlength=0.0, support=None, comment=None): | |
"""Initialize the class.""" | |
self.taxon = taxon | |
self.branchlength = branchlength | |
self.support = support | |
self.comment = comment | |
class Tree(Nodes.Chain): | |
"""Represent a tree using a chain of nodes with on predecessor (=ancestor) and multiple successors (=subclades).""" | |
# A newick tree is parsed into nested list and then converted to a node list in two stages | |
# mostly due to historical reasons. This could be done in one swoop). Note: parentheses ( ) and | |
# colon : are not allowed in taxon names. This is against NEXUS standard, but makes life much | |
# easier when parsing trees. | |
# NOTE: Tree should store its data class in something like self.dataclass=data, | |
# so that nodes that are generated have easy access to the data class | |
# Some routines use automatically NodeData, this needs to be more concise | |
def __init__( | |
self, | |
tree=None, | |
weight=1.0, | |
rooted=False, | |
name="", | |
data=NodeData, | |
values_are_support=False, | |
max_support=1.0, | |
): | |
"""Ntree(self,tree).""" | |
Nodes.Chain.__init__(self) | |
self.dataclass = data | |
self.__values_are_support = values_are_support | |
self.max_support = max_support | |
self.weight = weight | |
self.rooted = rooted | |
self.name = name | |
root = Nodes.Node(data()) | |
self.root = self.add(root) | |
if tree: # use the tree we have | |
# if Tree is called from outside Nexus parser, we need to get rid of linebreaks, etc | |
tree = tree.strip().replace("\n", "").replace("\r", "") | |
# there's discrepancy whether newick allows semicolons et the end | |
tree = tree.rstrip(";") | |
subtree_info, base_info = self._parse(tree) | |
root.data = self._add_nodedata(root.data, [[], base_info]) | |
self._add_subtree(parent_id=root.id, tree=subtree_info) | |
def _parse(self, tree): | |
"""Parse (a,b,c...)[[[xx]:]yy] into subcomponents and travels down recursively (PRIVATE).""" | |
# Remove any leading/trailing white space - want any string starting | |
# with " (..." should be recognised as a leaf, "(..." | |
tree = tree.strip() | |
if tree.count("(") != tree.count(")"): | |
raise TreeError("Parentheses do not match in (sub)tree: " + tree) | |
if tree.count("(") == 0: # a leaf | |
# check if there's a colon, or a special comment, or both after the taxon name | |
nodecomment = tree.find(NODECOMMENT_START) | |
colon = tree.find(":") | |
if colon == -1 and nodecomment == -1: # none | |
return [tree, [None]] | |
elif colon == -1 and nodecomment > -1: # only special comment | |
return [tree[:nodecomment], self._get_values(tree[nodecomment:])] | |
elif colon > -1 and nodecomment == -1: # only numerical values | |
return [tree[:colon], self._get_values(tree[colon + 1 :])] | |
elif ( | |
colon < nodecomment | |
): # taxon name ends at first colon or with special comment | |
return [tree[:colon], self._get_values(tree[colon + 1 :])] | |
else: | |
return [tree[:nodecomment], self._get_values(tree[nodecomment:])] | |
else: | |
closing = tree.rfind(")") | |
val = self._get_values(tree[closing + 1 :]) | |
if not val: | |
val = [None] | |
subtrees = [] | |
plevel = 0 | |
prev = 1 | |
incomment = False | |
for p in range(1, closing): | |
if not incomment and tree[p] == "(": | |
plevel += 1 | |
elif not incomment and tree[p] == ")": | |
plevel -= 1 | |
elif tree[p:].startswith(NODECOMMENT_START): | |
incomment = True | |
elif incomment and tree[p] == NODECOMMENT_END: | |
incomment = False | |
elif not incomment and tree[p] == "," and plevel == 0: | |
subtrees.append(tree[prev:p]) | |
prev = p + 1 | |
subtrees.append(tree[prev:closing]) | |
subclades = [self._parse(subtree) for subtree in subtrees] | |
return [subclades, val] | |
def _add_subtree(self, parent_id=None, tree=None): | |
"""Add leaf or tree (in newick format) to a parent_id (PRIVATE).""" | |
if parent_id is None: | |
raise TreeError("Need node_id to connect to.") | |
for st in tree: | |
nd = self.dataclass() | |
nd = self._add_nodedata(nd, st) | |
if isinstance(st[0], list): # it's a subtree | |
sn = Nodes.Node(nd) | |
self.add(sn, parent_id) | |
self._add_subtree(sn.id, st[0]) | |
else: # it's a leaf | |
nd.taxon = st[0] | |
leaf = Nodes.Node(nd) | |
self.add(leaf, parent_id) | |
def _add_nodedata(self, nd, st): | |
"""Add data to the node parsed from the comments, taxon and support (PRIVATE).""" | |
if isinstance(st[1][-1], str) and st[1][-1].startswith(NODECOMMENT_START): | |
nd.comment = st[1].pop(-1) | |
# if the first element is a string, it's the subtree node taxon | |
elif isinstance(st[1][0], str): | |
nd.taxon = st[1][0] | |
st[1] = st[1][1:] | |
if len(st) > 1: | |
if ( | |
len(st[1]) >= 2 | |
): # if there's two values, support comes first. Is that always so? | |
nd.support = st[1][0] | |
if st[1][1] is not None: | |
nd.branchlength = st[1][1] | |
elif ( | |
len(st[1]) == 1 | |
): # otherwise it could be real branchlengths or support as branchlengths | |
if not self.__values_are_support: # default | |
if st[1][0] is not None: | |
nd.branchlength = st[1][0] | |
else: | |
nd.support = st[1][0] | |
return nd | |
def _get_values(self, text): | |
"""Extract values (support/branchlength) from xx[:yyy], xx (PRIVATE).""" | |
if text == "": | |
return None | |
nodecomment = None | |
if NODECOMMENT_START in text: # if there's a [&....] comment, cut it out | |
nc_start = text.find(NODECOMMENT_START) | |
nc_end = text.find(NODECOMMENT_END) | |
if nc_end == -1: | |
raise TreeError( | |
"Error in tree description: Found %s without matching %s" | |
% (NODECOMMENT_START, NODECOMMENT_END) | |
) | |
nodecomment = text[nc_start : nc_end + 1] | |
text = text[:nc_start] + text[nc_end + 1 :] | |
# parse out supports and branchlengths, with internal node taxa info | |
values = [] | |
taxonomy = None | |
for part in [t.strip() for t in text.split(":")]: | |
if part: | |
try: | |
values.append(float(part)) | |
except ValueError: | |
assert taxonomy is None, "Two string taxonomies?" | |
taxonomy = part | |
if taxonomy: | |
values.insert(0, taxonomy) | |
if nodecomment: | |
values.append(nodecomment) | |
return values | |
def _walk(self, node=None): | |
"""Return all node_ids downwards from a node (PRIVATE).""" | |
if node is None: | |
node = self.root | |
for n in self.node(node).succ: | |
yield n | |
yield from self._walk(n) | |
def node(self, node_id): | |
"""Return the instance of node_id. | |
node = node(self,node_id) | |
""" | |
if node_id not in self.chain: | |
raise TreeError("Unknown node_id: %d" % node_id) | |
return self.chain[node_id] | |
def split(self, parent_id=None, n=2, branchlength=1.0): | |
"""Speciation: generates n (default two) descendants of a node. | |
[new ids] = split(self,parent_id=None,n=2,branchlength=1.0): | |
""" | |
if parent_id is None: | |
raise TreeError("Missing node_id.") | |
ids = [] | |
parent_data = self.chain[parent_id].data | |
for i in range(n): | |
node = Nodes.Node() | |
if parent_data: | |
node.data = self.dataclass() | |
# each node has taxon and branchlength attribute | |
if parent_data.taxon: | |
node.data.taxon = parent_data.taxon + str(i) | |
node.data.branchlength = branchlength | |
ids.append(self.add(node, parent_id)) | |
return ids | |
def search_taxon(self, taxon): | |
"""Return the first matching taxon in self.data.taxon. Not restricted to terminal nodes. | |
node_id = search_taxon(self,taxon) | |
""" | |
for id, node in self.chain.items(): | |
if node.data.taxon == taxon: | |
return id | |
return None | |
def prune(self, taxon): | |
"""Prune a terminal taxon from the tree. | |
id_of_previous_node = prune(self,taxon) | |
If taxon is from a bifurcation, the connectiong node will be collapsed | |
and its branchlength added to remaining terminal node. This might be no | |
longer a meaningful value' | |
""" | |
id = self.search_taxon(taxon) | |
if id is None: | |
raise TreeError(f"Taxon not found: {taxon}") | |
elif id not in self.get_terminals(): | |
raise TreeError(f"Not a terminal taxon: {taxon}") | |
else: | |
prev = self.unlink(id) | |
self.kill(id) | |
if len(self.node(prev).succ) == 1: | |
if ( | |
prev == self.root | |
): # we deleted one branch of a bifurcating root, then we have to move the root upwards | |
self.root = self.node(self.root).succ[0] | |
self.node(self.root).branchlength = 0.0 | |
self.kill(prev) | |
else: | |
succ = self.node(prev).succ[0] | |
new_bl = ( | |
self.node(prev).data.branchlength | |
+ self.node(succ).data.branchlength | |
) | |
self.collapse(prev) | |
self.node(succ).data.branchlength = new_bl | |
return prev | |
def get_taxa(self, node_id=None): | |
"""Return a list of all otus downwards from a node. | |
nodes = get_taxa(self,node_id=None) | |
""" | |
if node_id is None: | |
node_id = self.root | |
if node_id not in self.chain: | |
raise TreeError("Unknown node_id: %d." % node_id) | |
if self.chain[node_id].succ == []: | |
if self.chain[node_id].data: | |
return [self.chain[node_id].data.taxon] | |
else: | |
return None | |
else: | |
list = [] | |
for succ in self.chain[node_id].succ: | |
list.extend(self.get_taxa(succ)) | |
return list | |
def get_terminals(self): | |
"""Return a list of all terminal nodes.""" | |
return [i for i in self.all_ids() if self.node(i).succ == []] | |
def is_terminal(self, node): | |
"""Return True if node is a terminal node.""" | |
return self.node(node).succ == [] | |
def is_internal(self, node): | |
"""Return True if node is an internal node.""" | |
return len(self.node(node).succ) > 0 | |
def is_preterminal(self, node): | |
"""Return True if all successors of a node are terminal ones.""" | |
if self.is_terminal(node): | |
return False not in [self.is_terminal(n) for n in self.node(node).succ] | |
else: | |
return False | |
def count_terminals(self, node=None): | |
"""Count the number of terminal nodes that are attached to a node.""" | |
if node is None: | |
node = self.root | |
return len([n for n in self._walk(node) if self.is_terminal(n)]) | |
def collapse_genera(self, space_equals_underscore=True): | |
"""Collapse all subtrees which belong to the same genus. | |
(i.e share the same first word in their taxon name.) | |
""" | |
while True: | |
for n in self._walk(): | |
if self.is_terminal(n): | |
continue | |
taxa = self.get_taxa(n) | |
genera = [] | |
for t in taxa: | |
if space_equals_underscore: | |
t = t.replace(" ", "_") | |
try: | |
genus = t.split("_", 1)[0] | |
except IndexError: | |
genus = "None" | |
if genus not in genera: | |
genera.append(genus) | |
if len(genera) == 1: | |
self.node(n).data.taxon = genera[0] + " <collapsed>" | |
# now we kill all nodes downstream | |
nodes2kill = list(self._walk(node=n)) | |
for kn in nodes2kill: | |
self.kill(kn) | |
self.node(n).succ = [] | |
break # break out of for loop because node list from _walk will be inconsistent | |
else: # for loop exhausted: no genera to collapse left | |
break # while | |
def sum_branchlength(self, root=None, node=None): | |
"""Add up the branchlengths from root (default self.root) to node. | |
sum = sum_branchlength(self,root=None,node=None) | |
""" | |
if root is None: | |
root = self.root | |
if node is None: | |
raise TreeError("Missing node id.") | |
blen = 0.0 | |
while node is not None and node is not root: | |
blen += self.node(node).data.branchlength | |
node = self.node(node).prev | |
return blen | |
def set_subtree(self, node): | |
"""Return subtree as a set of nested sets. | |
sets = set_subtree(self,node) | |
""" | |
if self.node(node).succ == []: | |
return self.node(node).data.taxon | |
else: | |
try: | |
return frozenset(self.set_subtree(n) for n in self.node(node).succ) | |
except Exception: | |
print(node) | |
print(self.node(node).succ) | |
for n in self.node(node).succ: | |
print(f"{n} {self.set_subtree(n)}") | |
print([self.set_subtree(n) for n in self.node(node).succ]) | |
raise | |
def is_identical(self, tree2): | |
"""Compare tree and tree2 for identity. | |
result = is_identical(self,tree2) | |
""" | |
return self.set_subtree(self.root) == tree2.set_subtree(tree2.root) | |
def is_compatible(self, tree2, threshold, strict=True): | |
"""Compare branches with support>threshold for compatibility. | |
result = is_compatible(self,tree2,threshold) | |
""" | |
# check if both trees have the same set of taxa. strict=True enforces this. | |
missing2 = set(self.get_taxa()) - set(tree2.get_taxa()) | |
missing1 = set(tree2.get_taxa()) - set(self.get_taxa()) | |
if strict and (missing1 or missing2): | |
if missing1: | |
print( | |
"Taxon/taxa %s is/are missing in tree %s" | |
% (",".join(missing1), self.name) | |
) | |
if missing2: | |
print( | |
"Taxon/taxa %s is/are missing in tree %s" | |
% (",".join(missing2), tree2.name) | |
) | |
raise TreeError("Can't compare trees with different taxon compositions.") | |
t1 = [ | |
(set(self.get_taxa(n)), self.node(n).data.support) | |
for n in self.all_ids() | |
if self.node(n).succ | |
and ( | |
self.node(n).data | |
and self.node(n).data.support | |
and self.node(n).data.support >= threshold | |
) | |
] | |
t2 = [ | |
(set(tree2.get_taxa(n)), tree2.node(n).data.support) | |
for n in tree2.all_ids() | |
if tree2.node(n).succ | |
and tree2.node(n).data | |
and tree2.node(n).data.support | |
and tree2.node(n).data.support >= threshold | |
] | |
conflict = [] | |
for (st1, sup1) in t1: | |
for (st2, sup2) in t2: | |
if not st1.issubset(st2) and not st2.issubset( | |
st1 | |
): # don't hiccup on upstream nodes | |
intersect, notin1, notin2 = ( | |
st1 & st2, | |
st2 - st1, | |
st1 - st2, | |
) # all three are non-empty sets | |
# if notin1==missing1 or notin2==missing2 <==> st1.issubset(st2) or st2.issubset(st1) ??? | |
if intersect and not ( | |
notin1.issubset(missing1) or notin2.issubset(missing2) | |
): # omit conflicts due to missing taxa | |
conflict.append( | |
(st1, sup1, st2, sup2, intersect, notin1, notin2) | |
) | |
return conflict | |
def common_ancestor(self, node1, node2): | |
"""Return the common ancestor that connects two nodes. | |
node_id = common_ancestor(self,node1,node2) | |
""" | |
l1 = [self.root] + self.trace(self.root, node1) | |
l2 = [self.root] + self.trace(self.root, node2) | |
return [n for n in l1 if n in l2][-1] | |
def distance(self, node1, node2): | |
"""Add and return the sum of the branchlengths between two nodes. | |
dist = distance(self,node1,node2) | |
""" | |
ca = self.common_ancestor(node1, node2) | |
return self.sum_branchlength(ca, node1) + self.sum_branchlength(ca, node2) | |
def is_monophyletic(self, taxon_list): | |
"""Return node_id of common ancestor if taxon_list is monophyletic, -1 otherwise. | |
result = is_monophyletic(self,taxon_list) | |
""" | |
taxon_set = set(taxon_list) | |
node_id = self.root | |
while True: | |
subclade_taxa = set(self.get_taxa(node_id)) | |
if subclade_taxa == taxon_set: # are we there? | |
return node_id | |
else: # check subnodes | |
for subnode in self.chain[node_id].succ: | |
if set(self.get_taxa(subnode)).issuperset( | |
taxon_set | |
): # taxon_set is downstream | |
node_id = subnode | |
break # out of for loop | |
else: | |
return -1 # taxon set was not with successors, for loop exhausted | |
def is_bifurcating(self, node=None): | |
"""Return True if tree downstream of node is strictly bifurcating.""" | |
if node is None: | |
node = self.root | |
if ( | |
node == self.root and len(self.node(node).succ) == 3 | |
): # root can be trifurcating, because it has no ancestor | |
return ( | |
self.is_bifurcating(self.node(node).succ[0]) | |
and self.is_bifurcating(self.node(node).succ[1]) | |
and self.is_bifurcating(self.node(node).succ[2]) | |
) | |
if len(self.node(node).succ) == 2: | |
return self.is_bifurcating(self.node(node).succ[0]) and self.is_bifurcating( | |
self.node(node).succ[1] | |
) | |
elif len(self.node(node).succ) == 0: | |
return True | |
else: | |
return False | |
def branchlength2support(self): | |
"""Move values stored in data.branchlength to data.support, and set branchlength to 0.0. | |
This is necessary when support has been stored as branchlength (e.g. paup), and has thus | |
been read in as branchlength. | |
""" | |
for n in self.chain: | |
self.node(n).data.support = self.node(n).data.branchlength | |
self.node(n).data.branchlength = 0.0 | |
def convert_absolute_support(self, nrep): | |
"""Convert absolute support (clade-count) to rel. frequencies. | |
Some software (e.g. PHYLIP consense) just calculate how often clades appear, instead of | |
calculating relative frequencies. | |
""" | |
for n in self._walk(): | |
if self.node(n).data.support: | |
self.node(n).data.support /= nrep | |
def has_support(self, node=None): | |
"""Return True if any of the nodes has data.support != None.""" | |
for n in self._walk(node): | |
if self.node(n).data.support: | |
return True | |
else: | |
return False | |
def randomize( | |
self, | |
ntax=None, | |
taxon_list=None, | |
branchlength=1.0, | |
branchlength_sd=None, | |
bifurcate=True, | |
): | |
"""Generate a random tree with ntax taxa and/or taxa from taxlabels. | |
new_tree = randomize(self,ntax=None,taxon_list=None,branchlength=1.0,branchlength_sd=None,bifurcate=True) | |
Trees are bifurcating by default. (Polytomies not yet supported). | |
""" | |
if not ntax and taxon_list: | |
ntax = len(taxon_list) | |
elif not taxon_list and ntax: | |
taxon_list = ["taxon" + str(i + 1) for i in range(ntax)] | |
elif not ntax and not taxon_list: | |
raise TreeError("Either number of taxa or list of taxa must be specified.") | |
elif ntax != len(taxon_list): | |
raise TreeError("Length of taxon list must correspond to ntax.") | |
# initiate self with empty root | |
self.__init__() | |
terminals = self.get_terminals() | |
# bifurcate randomly at terminal nodes until ntax is reached | |
while len(terminals) < ntax: | |
newsplit = random.choice(terminals) | |
new_terminals = self.split(parent_id=newsplit, branchlength=branchlength) | |
# if desired, give some variation to the branch length | |
if branchlength_sd: | |
for nt in new_terminals: | |
bl = random.gauss(branchlength, branchlength_sd) | |
if bl < 0: | |
bl = 0 | |
self.node(nt).data.branchlength = bl | |
terminals.extend(new_terminals) | |
terminals.remove(newsplit) | |
# distribute taxon labels randomly | |
random.shuffle(taxon_list) | |
for (node, name) in zip(terminals, taxon_list): | |
self.node(node).data.taxon = name | |
def display(self): | |
"""Quick and dirty lists of all nodes.""" | |
table = [ | |
("#", "taxon", "prev", "succ", "brlen", "blen (sum)", "support", "comment") | |
] | |
for i in self.all_ids(): | |
n = self.node(i) | |
if not n.data: | |
table.append( | |
(str(i), "-", str(n.prev), str(n.succ), "-", "-", "-", "-") | |
) | |
else: | |
tx = n.data.taxon | |
if not tx: | |
tx = "-" | |
blength = f"{n.data.branchlength:0.2f}" | |
if blength is None: | |
blength = "-" | |
sum_blength = "-" | |
else: | |
sum_blength = f"{self.sum_branchlength(node=i):0.2f}" | |
support = n.data.support | |
if support is None: | |
support = "-" | |
else: | |
support = f"{support:0.2f}" | |
comment = n.data.comment | |
if comment is None: | |
comment = "-" | |
table.append( | |
( | |
str(i), | |
tx, | |
str(n.prev), | |
str(n.succ), | |
blength, | |
sum_blength, | |
support, | |
comment, | |
) | |
) | |
print( | |
"\n".join("%3s %32s %15s %15s %8s %10s %8s %20s" % line for line in table) | |
) | |
print(f"\nRoot: {self.root}") | |
def to_string( | |
self, | |
support_as_branchlengths=False, | |
branchlengths_only=False, | |
plain=True, | |
plain_newick=False, | |
ladderize=None, | |
ignore_comments=True, | |
): | |
"""Return a paup compatible tree line.""" | |
# if there's a conflict in the arguments, we override plain=True | |
if support_as_branchlengths or branchlengths_only: | |
plain = False | |
self.support_as_branchlengths = support_as_branchlengths | |
self.branchlengths_only = branchlengths_only | |
self.ignore_comments = ignore_comments | |
self.plain = plain | |
def make_info_string(data, terminal=False): | |
"""Create nicely formatted support/branchlengths.""" | |
# CHECK FORMATTING | |
if self.plain: # plain tree only. That's easy. | |
info_string = "" | |
elif ( | |
self.support_as_branchlengths | |
): # support as branchlengths (eg. PAUP), ignore actual branchlengths | |
if terminal: # terminal branches have 100% support | |
info_string = f":{self.max_support:1.2f}" | |
elif data.support: | |
info_string = f":{data.support:1.2f}" | |
else: | |
info_string = ":0.00" | |
elif self.branchlengths_only: # write only branchlengths, ignore support | |
info_string = f":{data.branchlength:1.5f}" | |
else: # write support and branchlengths (e.g. .con tree of mrbayes) | |
if terminal: | |
info_string = f":{data.branchlength:1.5f}" | |
else: | |
if ( | |
data.branchlength is not None and data.support is not None | |
): # we have blen and support | |
info_string = f"{data.support:1.2f}:{data.branchlength:1.5f}" | |
elif data.branchlength is not None: # we have only blen | |
info_string = f"0.00000:{data.branchlength:1.5f}" | |
elif data.support is not None: # we have only support | |
info_string = f"{data.support:1.2f}:0.00000" | |
else: | |
info_string = "0.00:0.00000" | |
if not ignore_comments: | |
try: | |
info_string = str(data.nodecomment) + info_string | |
except AttributeError: | |
pass | |
return info_string | |
def ladderize_nodes(nodes, ladderize=None): | |
"""Sort node numbers according to the number of terminal nodes.""" | |
if ladderize in ["left", "LEFT", "right", "RIGHT"]: | |
succnode_terminals = sorted( | |
(self.count_terminals(node=n), n) for n in nodes | |
) | |
if ladderize == "right" or ladderize == "RIGHT": | |
succnode_terminals.reverse() | |
if succnode_terminals: | |
succnodes = list(zip(*succnode_terminals))[1] | |
else: | |
succnodes = [] | |
else: | |
succnodes = nodes | |
return succnodes | |
def newickize(node, ladderize=None): | |
"""Convert a node tree to a newick tree recursively.""" | |
if not self.node(node).succ: # terminal | |
return self.node(node).data.taxon + make_info_string( | |
self.node(node).data, terminal=True | |
) | |
else: | |
succnodes = ladderize_nodes(self.node(node).succ, ladderize=ladderize) | |
subtrees = [newickize(sn, ladderize=ladderize) for sn in succnodes] | |
return f"({','.join(subtrees)}){make_info_string(self.node(node).data)}" | |
treeline = ["tree"] | |
if self.name: | |
treeline.append(self.name) | |
else: | |
treeline.append("a_tree") | |
treeline.append("=") | |
if self.weight != 1: | |
treeline.append(f"[&W{str(round(float(self.weight), 3))}]") | |
if self.rooted: | |
treeline.append("[&R]") | |
succnodes = ladderize_nodes(self.node(self.root).succ) | |
subtrees = [newickize(sn, ladderize=ladderize) for sn in succnodes] | |
treeline.append(f"({','.join(subtrees)})") | |
if plain_newick: | |
return treeline[-1] | |
else: | |
return " ".join(treeline) + ";" | |
def __str__(self): | |
"""Short version of to_string(), gives plain tree.""" | |
return self.to_string(plain=True) | |
def unroot(self): | |
"""Define a unrooted Tree structure, using data of a rooted Tree.""" | |
# travel down the rooted tree structure and save all branches and the nodes they connect | |
def _get_branches(node): | |
branches = [] | |
for b in self.node(node).succ: | |
branches.append( | |
[node, b, self.node(b).data.branchlength, self.node(b).data.support] | |
) | |
branches.extend(_get_branches(b)) | |
return branches | |
self.unrooted = _get_branches(self.root) | |
# if root is bifurcating, then it is eliminated | |
if len(self.node(self.root).succ) == 2: | |
# find the two branches that connect to root | |
rootbranches = [b for b in self.unrooted if self.root in b[:2]] | |
b1 = self.unrooted.pop(self.unrooted.index(rootbranches[0])) | |
b2 = self.unrooted.pop(self.unrooted.index(rootbranches[1])) | |
# Connect them two each other. If both have support, it should be identical (or one set to None?). | |
# If both have branchlengths, they will be added | |
newbranch = [b1[1], b2[1], b1[2] + b2[2]] | |
if b1[3] is None: | |
newbranch.append( | |
b2[3] | |
) # either None (both rootbranches are unsupported) or some support | |
elif b2[3] is None: | |
newbranch.append(b1[3]) # dito | |
elif b1[3] == b2[3]: | |
newbranch.append(b1[3]) # identical support | |
elif b1[3] == 0 or b2[3] == 0: | |
newbranch.append(b1[3] + b2[3]) # one is 0, take the other | |
else: | |
raise TreeError( | |
"Support mismatch in bifurcating root: %f, %f" | |
% (float(b1[3]), float(b2[3])) | |
) | |
self.unrooted.append(newbranch) | |
def root_with_outgroup(self, outgroup=None): | |
"""Define a tree's root with a reference group outgroup.""" | |
def _connect_subtree(parent, child): | |
"""Attach subtree starting with node child to parent (PRIVATE).""" | |
for i, branch in enumerate(self.unrooted): | |
if parent in branch[:2] and child in branch[:2]: | |
branch = self.unrooted.pop(i) | |
break | |
else: | |
raise TreeError( | |
"Unable to connect nodes for rooting: nodes %d and %d are not connected" | |
% (parent, child) | |
) | |
self.link(parent, child) | |
self.node(child).data.branchlength = branch[2] | |
self.node(child).data.support = branch[3] | |
# now check if there are more branches connected to the child, and if so, connect them | |
child_branches = [b for b in self.unrooted if child in b[:2]] | |
for b in child_branches: | |
if child == b[0]: | |
succ = b[1] | |
else: | |
succ = b[0] | |
_connect_subtree(child, succ) | |
# check the outgroup we're supposed to root with | |
if outgroup is None: | |
return self.root | |
outgroup_node = self.is_monophyletic(outgroup) | |
if outgroup_node == -1: | |
return -1 | |
# if tree is already rooted with outgroup on a bifurcating root, | |
# or the outgroup includes all taxa on the tree, then we're fine | |
if ( | |
len(self.node(self.root).succ) == 2 | |
and outgroup_node in self.node(self.root).succ | |
) or outgroup_node == self.root: | |
return self.root | |
self.unroot() | |
# now we find the branch that connects outgroup and ingroup | |
# print(self.node(outgroup_node).prev) | |
for i, b in enumerate(self.unrooted): | |
if outgroup_node in b[:2] and self.node(outgroup_node).prev in b[:2]: | |
root_branch = self.unrooted.pop(i) | |
break | |
else: | |
raise TreeError("Unrooted and rooted Tree do not match") | |
if outgroup_node == root_branch[1]: | |
ingroup_node = root_branch[0] | |
else: | |
ingroup_node = root_branch[1] | |
# now we destroy the old tree structure, but keep node data. Nodes will be reconnected according to new outgroup | |
for n in self.all_ids(): | |
self.node(n).prev = None | |
self.node(n).succ = [] | |
# now we just add both subtrees (outgroup and ingroup) branch for branch | |
root = Nodes.Node(data=NodeData()) # new root | |
self.add(root) # add to tree description | |
self.root = root.id # set as root | |
self.unrooted.append( | |
[root.id, ingroup_node, root_branch[2], root_branch[3]] | |
) # add branch to ingroup to unrooted tree | |
self.unrooted.append( | |
[root.id, outgroup_node, 0.0, 0.0] | |
) # add branch to outgroup to unrooted tree | |
_connect_subtree(root.id, ingroup_node) # add ingroup | |
_connect_subtree(root.id, outgroup_node) # add outgroup | |
# if there's still a lonely node in self.chain, then it's the old root, and we delete it | |
oldroot = [ | |
i for i in self.all_ids() if self.node(i).prev is None and i != self.root | |
] | |
if len(oldroot) > 1: | |
raise TreeError(f"Isolated nodes in tree description: {','.join(oldroot)}") | |
elif len(oldroot) == 1: | |
self.kill(oldroot[0]) | |
return self.root | |
def merge_with_support( | |
self, bstrees=None, constree=None, threshold=0.5, outgroup=None | |
): | |
"""Merge clade support (from consensus or list of bootstrap-trees) with phylogeny. | |
tree=merge_bootstrap(phylo,bs_tree=<list_of_trees>) | |
or | |
tree=merge_bootstrap(phylo,consree=consensus_tree with clade support) | |
""" | |
if bstrees and constree: | |
raise TreeError( | |
"Specify either list of bootstrap trees or consensus tree, not both" | |
) | |
if not (bstrees or constree): | |
raise TreeError("Specify either list of bootstrap trees or consensus tree.") | |
# no outgroup specified: use the smallest clade of the root | |
if outgroup is None: | |
try: | |
succnodes = self.node(self.root).succ | |
smallest = min((len(self.get_taxa(n)), n) for n in succnodes) | |
outgroup = self.get_taxa(smallest[1]) | |
except Exception: | |
raise TreeError("Error determining outgroup.") from None | |
else: # root with user specified outgroup | |
self.root_with_outgroup(outgroup) | |
if bstrees: # calculate consensus | |
constree = consensus(bstrees, threshold=threshold, outgroup=outgroup) | |
else: | |
if not constree.has_support(): | |
constree.branchlength2support() | |
constree.root_with_outgroup(outgroup) | |
# now we travel all nodes, and add support from consensus, if the clade is present in both | |
for pnode in self._walk(): | |
cnode = constree.is_monophyletic(self.get_taxa(pnode)) | |
if cnode > -1: | |
self.node(pnode).data.support = constree.node(cnode).data.support | |
def consensus(trees, threshold=0.5, outgroup=None): | |
"""Compute a majority rule consensus tree of all clades with relative frequency>=threshold from a list of trees.""" | |
total = len(trees) | |
if total == 0: | |
return None | |
# shouldn't we make sure that it's NodeData or subclass?? | |
dataclass = trees[0].dataclass | |
max_support = trees[0].max_support | |
clades = {} | |
# countclades={} | |
alltaxa = set(trees[0].get_taxa()) | |
# calculate calde frequencies | |
for t in trees: | |
if alltaxa != set(t.get_taxa()): | |
raise TreeError("Trees for consensus must contain the same taxa") | |
t.root_with_outgroup(outgroup=outgroup) | |
for st_node in t._walk(t.root): | |
subclade_taxa = sorted(t.get_taxa(st_node)) | |
subclade_taxa = str(subclade_taxa) # lists are not hashable | |
if subclade_taxa in clades: | |
clades[subclade_taxa] += t.weight / total | |
else: | |
clades[subclade_taxa] = t.weight / total | |
# if subclade_taxa in countclades: | |
# countclades[subclade_taxa]+=t.weight | |
# else: | |
# countclades[subclade_taxa]=t.weight | |
# weed out clades below threshold | |
delclades = [ | |
c for c, p in clades.items() if round(p, 3) < threshold | |
] # round can be necessary | |
for c in delclades: | |
del clades[c] | |
# create a tree with a root node | |
consensus = Tree(name=f"consensus_{float(threshold):2.1f}", data=dataclass) | |
# each clade needs a node in the new tree, add them as isolated nodes | |
for c, s in clades.items(): | |
node = Nodes.Node(data=dataclass()) | |
node.data.support = s | |
node.data.taxon = set(eval(c)) | |
consensus.add(node) | |
# set root node data | |
consensus.node(consensus.root).data.support = None | |
consensus.node(consensus.root).data.taxon = alltaxa | |
# we sort the nodes by no. of taxa in the clade, so root will be the last | |
consensus_ids = consensus.all_ids() | |
consensus_ids.sort(key=lambda x: len(consensus.node(x).data.taxon)) | |
# now we just have to hook each node to the next smallest node that includes all taxa of the current | |
for i, current in enumerate( | |
consensus_ids[:-1] | |
): # skip the last one which is the root | |
# print('----') | |
# print('current: %s' % consensus.node(current).data.taxon) | |
# search remaining nodes | |
for parent in consensus_ids[i + 1 :]: | |
# print('parent: %s' % consensus.node(parent).data.taxon) | |
if consensus.node(parent).data.taxon.issuperset( | |
consensus.node(current).data.taxon | |
): | |
break | |
else: | |
sys.exit("corrupt tree structure?") | |
# internal nodes don't have taxa | |
if len(consensus.node(current).data.taxon) == 1: | |
consensus.node(current).data.taxon = consensus.node( | |
current | |
).data.taxon.pop() | |
# reset the support for terminal nodes to maximum | |
# consensus.node(current).data.support=max_support | |
else: | |
consensus.node(current).data.taxon = None | |
consensus.link(parent, current) | |
# eliminate root taxon name | |
consensus.node(consensus_ids[-1]).data.taxon = None | |
if alltaxa != set(consensus.get_taxa()): | |
raise TreeError("FATAL ERROR: consensus tree is corrupt") | |
return consensus | |