-
Notifications
You must be signed in to change notification settings - Fork 0
/
graphutils.py
279 lines (230 loc) · 9.87 KB
/
graphutils.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
from collections import defaultdict
from datetime import date
from pathlib import Path
from typing import List, Iterable, Tuple, Any, Generator, Union, TypeVar, Callable, Dict, Sequence, Optional
import networkx as nx
from macrogen.datings import add_timeline_edges
from .uris import Witness, Reference
from .bibliography import BiblSource
from .datings import parse_datestr
from .config import config
T = TypeVar('T')
S = TypeVar('S')
logger = config.getLogger(__name__)
def pathlink(*nodes) -> Path:
"""
Creates a file name for the given path.
The file name consists of the file names for the given nodes, in order, joined by `--`
"""
node_names: List[str] = []
for node in nodes:
if isinstance(node, str):
if node.startswith('faust://'):
node = Witness.get(node)
else:
try:
node = parse_datestr(node)
except ValueError:
pass
if isinstance(node, Reference):
node_names.append(node.filename.stem)
elif isinstance(node, date):
node_names.append(node.isoformat())
elif isinstance(node, str):
node_names.append(node)
else:
logger.warning('Unknown node type: %s (%s)', type(node), node)
node_names.append(base_n(hash(node), 62))
return Path("--".join(node_names) + '.php')
def expand_edges(graph: nx.MultiDiGraph, edges: Iterable[Tuple[Any, Any]], filter: bool = False) \
-> Generator[Tuple[Any, Any, int, dict], None, None]:
"""
Expands a 'simple' edge list (of node pairs) to the corresponding full edge list, including keys and data.
Args:
graph: the graph with the edges
edges: edge list, a list of (u, v) node tuples
filter: if true, remove missing edges instead of raising an exception
Returns:
all edges from the multigraph that are between any node pair from edges as tuple (u, v, key, attrs)
"""
for u, v in edges:
try:
atlas = graph[u][v]
for key in atlas:
yield u, v, key, atlas[key]
except KeyError as e:
if filter:
logger.warning('Edge %s→%s from edge list not in graph', u, v)
else:
raise e
def collapse_edges(graph: nx.MultiDiGraph):
"""
Returns a new graph with all multi- and conflicting edges collapsed.
Note:
This is not able to reduce the number of edges enough to let the
feedback_arc_set method 'ip' work with the largest component
"""
result = graph.copy()
multiedges = defaultdict(list)
for u, v, k, attr in graph.edges(keys=True, data=True):
multiedges[tuple(sorted([u, v], key=str))].append((u, v, k, attr))
for (u, v), edges in multiedges.items():
if len(edges) > 1:
total_weight = sum(attr['source'].weight * (1 if (u, v) == (w, r) else -1) for w, r, k, attr in edges)
result.remove_edges_from([(u, v, k) for u, v, k, data in edges])
if total_weight < 0:
u, v = v, u
total_weight = -total_weight
result.add_edge(u, v,
kind='collapsed',
weight=total_weight,
sources=tuple(attr['source'] for w, r, k, attr in edges))
return result
def collapse_edges_by_source(graph: nx.MultiDiGraph) -> nx.MultiDiGraph:
"""
Returns a new graph with all parallel edges from the same source collapsed.
"""
result = graph.copy()
edge_groups = defaultdict(list)
for u, v, k, attr in result.edges(keys=True, data=True):
if 'source' in attr:
edge_groups[(u, v, attr['kind'], attr['source'].uri)].append((u, v, k, attr))
for (u, v, kind, source_uri), group in edge_groups.items():
if len(group) > 1:
logger.debug('Collapsing group %s', group)
group_attr = dict(
weight=sum(attr.get('weight', 1) for u, v, k, attr in group),
kind=kind,
collapsed=len(group),
source=BiblSource(source_uri),
sources=[attr['source'] for u, v, k, attr in group],
xml=[attr['xml'] for u, v, k, attr in group]
)
result.remove_edges_from(group)
result.add_edge(u, v, **group_attr)
return result
def first(sequence: Iterable[T], default: S = None) -> Union[T, S]:
try:
return next(iter(sequence))
except StopIteration:
return default
def collapse_timeline(graph: nx.MultiDiGraph) -> nx.MultiDiGraph:
"""
Returns a new graph in which unneeded datetime nodes are removed.
"""
g: nx.MultiDiGraph = graph.copy()
timeline = sorted(node for node in g.nodes() if isinstance(node, date))
if not timeline:
return g # nothing to do
for node in timeline[1:]:
pred = first(g.predecessors(node))
succ = first(g.successors(node))
if g.in_degree(node) == 1 and g.out_degree(node) == 1 \
and isinstance(pred, date) and isinstance(succ, date):
g.add_edge(pred, succ, **g[pred][node][0])
g.remove_node(node)
return g
def add_iweight(graph: nx.MultiDiGraph):
"""
Adds an 'iweight' attribute with the inverse weight for each edge. timeline edges are trimmed to zero.
"""
for u, v, k, attr in graph.edges(keys=True, data=True):
if 'weight' in attr:
if attr.get('kind', '') == 'timeline':
attr['iweight'] = 0
elif attr['weight'] > 0:
attr['iweight'] = 1 / attr['weight']
else:
attr['iweight'] = 2_000_000
def mark_edges_to_delete(graph: nx.MultiDiGraph, edges: List[Tuple[Any, Any, int, Any]]):
"""Marks edges to delete by setting their 'delete' attribute to True. Modifies the given graph."""
mark_edges(graph, edges, delete=True)
def mark_edges(graph: nx.MultiDiGraph, edges: List[Tuple[Any, Any, int, Any]], **new_attrs):
"""Mark all edges in the given graph by updating their attributes with the keyword arguments. """
for u, v, k, *_ in edges:
graph.edges[u, v, k].update(new_attrs)
def remove_edges(source: nx.MultiDiGraph, predicate: Callable[[Any, Any, Dict[str, Any]], bool]):
"""
Returns a subgraph of source that does not contain the edges for which the predicate returns true.
Args:
source: source graph
predicate: a function(u, v, attr) that returns true if the edge from node u to node v with the attributes attr should be removed.
Returns:
the subgraph of source induced by the edges that are not selected by the predicate.
This is a read-only view, you may want to use copy() on the result.
"""
to_keep = [(u, v, k) for u, v, k, attr in source.edges(data=True, keys=True)
if not predicate(u, v, attr)]
return source.edge_subgraph(to_keep)
# return nx.restricted_view(source, source.nodes, [(u,v,k) for u,v,k,attr in source.edges if predicate(u,v,attr)])
def in_path(edge: Tuple[T, T], path: Sequence[T], cycle=False) -> bool:
"""
Whether edge is part of the given path.
Args:
edge: the edge we search, as a pair of nodes
path: the path we search in, as a sequence of nodes
cycle: if True, assume path is a cycle, i.e. there is an edge from path[-1] to path[0]
"""
try:
first_index = path.index(edge[0])
if first_index < len(path) - 1:
return path[first_index + 1] == edge[1]
elif cycle:
return path[0] == edge[1]
else:
return False
except ValueError:
return False
def simplify_timeline(graph: nx.MultiDiGraph):
"""
Remove superfluous date nodes (and timeline edges) from the graph.
When creating subgraphs of the base graph, the subgraph will sometimes contain date nodes that
are not linked to references remaining in the subgraph. This function will remove those nodes
and link the remaining date nodes instead. So, it will reduce
1798-01-01 -> 1709-01-15 -> 1798-02-01
`-------------> H.x ---------------^
to
1798-01-01 -> 1798-02-01
`-----> H.x -----^
"""
graph = remove_edges(graph, lambda u, v, attr: attr.get('kind') == 'timeline').copy()
add_timeline_edges(graph)
return graph
# date_nodes = sorted(node for node in graph.nodes if isinstance(node, date))
# prev = None
# for node in date_nodes:
# if prev is not None and graph.in_degree(node) == graph.out_degree(node) == 1 and isinstance(
# one(graph.successors(node)), date):
# graph.remove_node(node)
# else:
# if prev is not None:
# graph.add_edge(prev, node, kind='timeline')
# prev = node
def base_n(number: int, base: int = 10, neg: Optional[str] = '-') -> str:
"""
Calculates a base-n string representation of the given number.
Args:
number: The number to convert
base: 2-36
Returns:
string representing number_base
"""
if not(isinstance(number, int)):
raise TypeError(f"Number must be an integer, not a {type(number)}")
if neg is None and int < 0:
raise ValueError("number must not be negative if no neg character is given")
if base < 2 or base > 64:
raise ValueError("Base must be between 2 and 62")
alphabet = "0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"
if neg in alphabet:
raise ValueError(f"neg char, '{neg}', must not be from alphabet '{alphabet}")
digits = []
if number == 0:
return alphabet[0]
rest = abs(number)
while rest > 0:
digits.append(alphabet[rest % base])
rest = rest // base
if number < 0:
digits.append(neg)
return "".join(reversed(digits))