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-rw-r--r--lib/sqlalchemy/util/topological.py83
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+# topological.py
+# Copyright (C) 2005, 2006, 2007, 2008, 2009, 2010 Michael Bayer mike_mp@zzzcomputing.com
+#
+# This module is part of SQLAlchemy and is released under
+# the MIT License: http://www.opensource.org/licenses/mit-license.php
+
+"""Topological sorting algorithms."""
+
+from sqlalchemy.exc import CircularDependencyError
+from sqlalchemy import util
+
+
+__all__ = ['sort', 'sort_as_subsets', 'find_cycles']
+
+def sort_as_subsets(tuples, allitems):
+
+ edges = util.defaultdict(set)
+ for parent, child in tuples:
+ edges[child].add(parent)
+
+ todo = set(allitems)
+
+ while todo:
+ output = set()
+ for node in list(todo):
+ if not todo.intersection(edges[node]):
+ output.add(node)
+
+ if not output:
+ raise CircularDependencyError(
+ "Circular dependency detected",
+ find_cycles(tuples, allitems),
+ _gen_edges(edges)
+ )
+
+ todo.difference_update(output)
+ yield output
+
+def sort(tuples, allitems):
+ """sort the given list of items by dependency.
+
+ 'tuples' is a list of tuples representing a partial ordering.
+ """
+
+ for set_ in sort_as_subsets(tuples, allitems):
+ for s in set_:
+ yield s
+
+def find_cycles(tuples, allitems):
+ # straight from gvr with some mods
+ todo = set(allitems)
+
+ edges = util.defaultdict(set)
+ for parent, child in tuples:
+ edges[parent].add(child)
+
+ output = set()
+
+ while todo:
+ node = todo.pop()
+ stack = [node]
+ while stack:
+ top = stack[-1]
+ for node in edges[top]:
+ if node in stack:
+ cyc = stack[stack.index(node):]
+ todo.difference_update(cyc)
+ output.update(cyc)
+
+ if node in todo:
+ stack.append(node)
+ todo.remove(node)
+ break
+ else:
+ node = stack.pop()
+ return output
+
+def _gen_edges(edges):
+ return set([
+ (right, left)
+ for left in edges
+ for right in edges[left]
+ ])