From 85a341d645b57b7cd88a26ed2ea0a314704240ea Mon Sep 17 00:00:00 2001 From: Jordan Augé Date: Fri, 24 Feb 2017 14:58:01 +0100 Subject: Initial commit: vICN MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Change-Id: I7ce66c4e84a6a1921c63442f858b49e083adc7a7 Signed-off-by: Jordan Augé --- netmodel/util/toposort.py | 82 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 82 insertions(+) create mode 100644 netmodel/util/toposort.py (limited to 'netmodel/util/toposort.py') diff --git a/netmodel/util/toposort.py b/netmodel/util/toposort.py new file mode 100644 index 00000000..64931c32 --- /dev/null +++ b/netmodel/util/toposort.py @@ -0,0 +1,82 @@ +####################################################################### +# Implements a topological sort algorithm. +# +# Copyright 2014 True Blade Systems, Inc. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +# +# Notes: +# Based on http://code.activestate.com/recipes/578272-topological-sort +# with these major changes: +# Added unittests. +# Deleted doctests (maybe not the best idea in the world, but it cleans +# up the docstring). +# Moved functools import to the top of the file. +# Changed assert to a ValueError. +# Changed iter[items|keys] to [items|keys], for python 3 +# compatibility. I don't think it matters for python 2 these are +# now lists instead of iterables. +# Copy the input so as to leave it unmodified. +# Renamed function from toposort2 to toposort. +# Handle empty input. +# Switch tests to use set literals. +# +######################################################################## + +from functools import reduce as _reduce + +__all__ = ['toposort', 'toposort_flatten'] + +def toposort(data): + """Dependencies are expressed as a dictionary whose keys are items +and whose values are a set of dependent items. Output is a list of +sets in topological order. The first set consists of items with no +dependences, each subsequent set consists of items that depend upon +items in the preceeding sets. +""" + + # Special case empty input. + if len(data) == 0: + return + + # Copy the input so as to leave it unmodified. + data = data.copy() + + # Ignore self dependencies. + for k, v in data.items(): + v.discard(k) + # Find all items that don't depend on anything. + extra_items_in_deps = _reduce(set.union, data.values()) - set(data.keys()) + # Add empty dependences where needed. + data.update({item:set() for item in extra_items_in_deps}) + while True: + ordered = set(item for item, dep in data.items() if len(dep) == 0) + if not ordered: + break + yield ordered + data = {item: (dep - ordered) + for item, dep in data.items() + if item not in ordered} + if len(data) != 0: + raise ValueError('Cyclic dependencies exist among these items: {}'.format(', '.join(repr(x) for x in data.items()))) + + +def toposort_flatten(data, sort=True): + """Returns a single list of dependencies. For any set returned by +toposort(), those items are sorted and appended to the result (just to +make the results deterministic).""" + + result = [] + for d in toposort(data): + result.extend((sorted if sort else list)(d)) + return result -- cgit 1.2.3-korg