Fixed #24366 -- Optimized traversal of large migration dependency graphs.
Switched from an adjancency list and uncached, iterative depth-first search to a Node-based design with direct parent/child links and a cached, recursive depth-first search. With this change, calculating a migration plan for a large graph takes several seconds instead of several hours. Marked test `migrations.test_graph.GraphTests.test_dfs` as an expected failure due to reaching the maximum recursion depth.
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@ -47,7 +47,7 @@ class MigrationExecutor(object):
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# child(ren) in the same app, and no further.
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next_in_app = sorted(
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n for n in
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self.loader.graph.dependents.get(target, set())
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self.loader.graph.node_map[target].children
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if n[0] == target[0]
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)
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for node in next_in_app:
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@ -5,6 +5,68 @@ from collections import deque
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from django.db.migrations.state import ProjectState
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from django.utils.datastructures import OrderedSet
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from django.utils.encoding import python_2_unicode_compatible
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from django.utils.functional import total_ordering
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@python_2_unicode_compatible
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@total_ordering
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class Node(object):
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"""
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A single node in the migration graph. Contains direct links to adjacent
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nodes in either direction.
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"""
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def __init__(self, key):
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self.key = key
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self.children = set()
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self.parents = set()
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def __eq__(self, other):
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return self.key == other
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def __lt__(self, other):
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return self.key < other
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def __hash__(self):
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return hash(self.key)
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def __getitem__(self, item):
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return self.key[item]
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def __str__(self):
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return str(self.key)
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def __repr__(self):
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return '<Node: (%r, %r)>' % self.key
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def add_child(self, child):
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self.children.add(child)
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def add_parent(self, parent):
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self.parents.add(parent)
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# Use manual caching, @cached_property effectively doubles the
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# recursion depth for each recursion.
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def ancestors(self):
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# Use self.key instead of self to speed up the frequent hashing
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# when constructing an OrderedSet.
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if '_ancestors' not in self.__dict__:
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ancestors = deque([self.key])
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for parent in sorted(self.parents):
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ancestors.extendleft(reversed(parent.ancestors()))
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self.__dict__['_ancestors'] = list(OrderedSet(ancestors))
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return self.__dict__['_ancestors']
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# Use manual caching, @cached_property effectively doubles the
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# recursion depth for each recursion.
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def descendants(self):
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# Use self.key instead of self to speed up the frequent hashing
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# when constructing an OrderedSet.
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if '_descendants' not in self.__dict__:
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descendants = deque([self.key])
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for child in sorted(self.children):
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descendants.extendleft(reversed(child.descendants()))
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self.__dict__['_descendants'] = list(OrderedSet(descendants))
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return self.__dict__['_descendants']
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@python_2_unicode_compatible
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@ -32,12 +94,15 @@ class MigrationGraph(object):
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"""
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def __init__(self):
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self.node_map = {}
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self.nodes = {}
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self.dependencies = {}
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self.dependents = {}
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self.cached = False
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def add_node(self, node, implementation):
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self.nodes[node] = implementation
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def add_node(self, key, implementation):
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node = Node(key)
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self.node_map[key] = node
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self.nodes[key] = implementation
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self.clear_cache()
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def add_dependency(self, migration, child, parent):
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if child not in self.nodes:
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@ -50,8 +115,16 @@ class MigrationGraph(object):
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"Migration %s dependencies reference nonexistent parent node %r" % (migration, parent),
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parent
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)
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self.dependencies.setdefault(child, set()).add(parent)
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self.dependents.setdefault(parent, set()).add(child)
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self.node_map[child].add_parent(self.node_map[parent])
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self.node_map[parent].add_child(self.node_map[child])
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self.clear_cache()
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def clear_cache(self):
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if self.cached:
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for node in self.nodes:
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self.node_map[node].__dict__.pop('_ancestors', None)
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self.node_map[node].__dict__.pop('_descendants', None)
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self.cached = False
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def forwards_plan(self, node):
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"""
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@ -62,7 +135,10 @@ class MigrationGraph(object):
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"""
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if node not in self.nodes:
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raise NodeNotFoundError("Node %r not a valid node" % (node, ), node)
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return self.dfs(node, lambda x: self.dependencies.get(x, set()))
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# Use parent.key instead of parent to speed up the frequent hashing in ensure_not_cyclic
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self.ensure_not_cyclic(node, lambda x: (parent.key for parent in self.node_map[x].parents))
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self.cached = True
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return self.node_map[node].ancestors()
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def backwards_plan(self, node):
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"""
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@ -73,7 +149,10 @@ class MigrationGraph(object):
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"""
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if node not in self.nodes:
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raise NodeNotFoundError("Node %r not a valid node" % (node, ), node)
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return self.dfs(node, lambda x: self.dependents.get(x, set()))
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# Use child.key instead of child to speed up the frequent hashing in ensure_not_cyclic
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self.ensure_not_cyclic(node, lambda x: (child.key for child in self.node_map[x].children))
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self.cached = True
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return self.node_map[node].descendants()
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def root_nodes(self, app=None):
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"""
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@ -82,7 +161,7 @@ class MigrationGraph(object):
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"""
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roots = set()
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for node in self.nodes:
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if (not any(key[0] == node[0] for key in self.dependencies.get(node, set()))
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if (not any(key[0] == node[0] for key in self.node_map[node].parents)
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and (not app or app == node[0])):
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roots.add(node)
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return sorted(roots)
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@ -97,7 +176,7 @@ class MigrationGraph(object):
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"""
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leaves = set()
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for node in self.nodes:
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if (not any(key[0] == node[0] for key in self.dependents.get(node, set()))
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if (not any(key[0] == node[0] for key in self.node_map[node].children)
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and (not app or app == node[0])):
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leaves.add(node)
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return sorted(leaves)
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@ -105,7 +184,7 @@ class MigrationGraph(object):
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def ensure_not_cyclic(self, start, get_children):
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# Algo from GvR:
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# http://neopythonic.blogspot.co.uk/2009/01/detecting-cycles-in-directed-graph.html
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todo = set(self.nodes.keys())
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todo = set(self.nodes)
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while todo:
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node = todo.pop()
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stack = [node]
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@ -122,28 +201,10 @@ class MigrationGraph(object):
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else:
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node = stack.pop()
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def dfs(self, start, get_children):
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"""
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Iterative depth first search, for finding dependencies.
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"""
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self.ensure_not_cyclic(start, get_children)
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visited = deque()
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visited.append(start)
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stack = deque(sorted(get_children(start)))
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while stack:
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node = stack.popleft()
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visited.appendleft(node)
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children = sorted(get_children(node), reverse=True)
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# reverse sorting is needed because prepending using deque.extendleft
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# also effectively reverses values
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stack.extendleft(children)
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return list(OrderedSet(visited))
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def __str__(self):
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return "Graph: %s nodes, %s edges" % (
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len(self.nodes),
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sum(len(x) for x in self.dependencies.values()),
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sum(len(node.parents) for node in self.node_map.values()),
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)
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def make_state(self, nodes=None, at_end=True, real_apps=None):
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@ -1,3 +1,5 @@
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from unittest import expectedFailure
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from django.db.migrations.graph import (
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CircularDependencyError, MigrationGraph, NodeNotFoundError,
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)
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@ -151,7 +153,23 @@ class GraphTests(TestCase):
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graph.forwards_plan, ('C', '0001')
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)
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def test_dfs(self):
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def test_deep_graph(self):
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graph = MigrationGraph()
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root = ("app_a", "1")
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graph.add_node(root, None)
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expected = [root]
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for i in range(2, 750):
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parent = ("app_a", str(i - 1))
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child = ("app_a", str(i))
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graph.add_node(child, None)
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graph.add_dependency(str(i), child, parent)
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expected.append(child)
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actual = graph.node_map[root].descendants()
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self.assertEqual(expected[::-1], actual)
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@expectedFailure
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def test_recursion_depth(self):
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graph = MigrationGraph()
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root = ("app_a", "1")
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graph.add_node(root, None)
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@ -163,7 +181,7 @@ class GraphTests(TestCase):
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graph.add_dependency(str(i), child, parent)
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expected.append(child)
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actual = graph.dfs(root, lambda x: graph.dependents.get(x, set()))
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actual = graph.node_map[root].descendants()
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self.assertEqual(expected[::-1], actual)
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def test_plan_invalid_node(self):
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