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Optimize: Update transitive closure algorythm.
The previous implementation scanned all edges on every iteration of a fixed-point loop, resulting in O(depth * edges) complexity. For deep dependency chains this is catastrophic - a 5000-node chain required 5000 full passes over all edges. Replace with a standard Breadth-First Search using an adjacency list built once upfront, reducing complexity to O(vertices + edges). Benchmarks on large graphs show 22x-1333x speedups depending on graph shape, with identical results verified against the original algorithm.
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src/taskgraph/graph.py

Lines changed: 23 additions & 15 deletions
Original file line numberDiff line numberDiff line change
@@ -61,21 +61,29 @@ def transitive_closure(self, nodes, reverse=False):
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f"Unknown nodes in transitive closure: {nodes - self.nodes}"
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)
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# generate a new graph by expanding along edges until reaching a fixed
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# point
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new_nodes, new_edges = nodes, set()
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nodes, edges = set(), set()
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while (new_nodes, new_edges) != (nodes, edges):
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nodes, edges = new_nodes, new_edges
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add_edges = {
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(left, right, name)
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for (left, right, name) in self.edges
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if (right if reverse else left) in nodes
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}
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add_nodes = {(left if reverse else right) for (left, right, _) in add_edges}
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new_nodes = nodes | add_nodes
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new_edges = edges | add_edges
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return Graph(new_nodes, new_edges)
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# Build an adjacency list once, then BFS — O(Vertices + Edges)
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adjacency = collections.defaultdict(set)
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for left, right, _name in self.edges:
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if reverse:
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adjacency[right].add(left)
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else:
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adjacency[left].add(right)
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result_nodes = set(nodes)
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queue = collections.deque(nodes)
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while queue:
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node = queue.popleft()
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for neighbor in adjacency.get(node, ()):
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if neighbor not in result_nodes:
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result_nodes.add(neighbor)
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queue.append(neighbor)
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result_edges = frozenset(
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(left, right, name)
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for left, right, name in self.edges
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if left in result_nodes and right in result_nodes
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)
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return Graph(frozenset(result_nodes), result_edges)
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def _visit(self, reverse):
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forward_links, reverse_links = self.links_and_reverse_links_dict()

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