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- __all__ = ["TopologicalSorter", "CycleError"]
- _NODE_OUT = -1
- _NODE_DONE = -2
- class _NodeInfo:
- __slots__ = "node", "npredecessors", "successors"
- def __init__(self, node):
- # The node this class is augmenting.
- self.node = node
- # Number of predecessors, generally >= 0. When this value falls to 0,
- # and is returned by get_ready(), this is set to _NODE_OUT and when the
- # node is marked done by a call to done(), set to _NODE_DONE.
- self.npredecessors = 0
- # List of successor nodes. The list can contain duplicated elements as
- # long as they're all reflected in the successor's npredecessors attribute.
- self.successors = []
- class CycleError(ValueError):
- """Subclass of ValueError raised by TopologicalSorter.prepare if cycles
- exist in the working graph.
- If multiple cycles exist, only one undefined choice among them will be reported
- and included in the exception. The detected cycle can be accessed via the second
- element in the *args* attribute of the exception instance and consists in a list
- of nodes, such that each node is, in the graph, an immediate predecessor of the
- next node in the list. In the reported list, the first and the last node will be
- the same, to make it clear that it is cyclic.
- """
- pass
- class TopologicalSorter:
- """Provides functionality to topologically sort a graph of hashable nodes"""
- def __init__(self, graph=None):
- self._node2info = {}
- self._ready_nodes = None
- self._npassedout = 0
- self._nfinished = 0
- if graph is not None:
- for node, predecessors in graph.items():
- self.add(node, *predecessors)
- def _get_nodeinfo(self, node):
- if (result := self._node2info.get(node)) is None:
- self._node2info[node] = result = _NodeInfo(node)
- return result
- def add(self, node, *predecessors):
- """Add a new node and its predecessors to the graph.
- Both the *node* and all elements in *predecessors* must be hashable.
- If called multiple times with the same node argument, the set of dependencies
- will be the union of all dependencies passed in.
- It is possible to add a node with no dependencies (*predecessors* is not provided)
- as well as provide a dependency twice. If a node that has not been provided before
- is included among *predecessors* it will be automatically added to the graph with
- no predecessors of its own.
- Raises ValueError if called after "prepare".
- """
- if self._ready_nodes is not None:
- raise ValueError("Nodes cannot be added after a call to prepare()")
- # Create the node -> predecessor edges
- nodeinfo = self._get_nodeinfo(node)
- nodeinfo.npredecessors += len(predecessors)
- # Create the predecessor -> node edges
- for pred in predecessors:
- pred_info = self._get_nodeinfo(pred)
- pred_info.successors.append(node)
- def prepare(self):
- """Mark the graph as finished and check for cycles in the graph.
- If any cycle is detected, "CycleError" will be raised, but "get_ready" can
- still be used to obtain as many nodes as possible until cycles block more
- progress. After a call to this function, the graph cannot be modified and
- therefore no more nodes can be added using "add".
- """
- if self._ready_nodes is not None:
- raise ValueError("cannot prepare() more than once")
- self._ready_nodes = [
- i.node for i in self._node2info.values() if i.npredecessors == 0
- ]
- # ready_nodes is set before we look for cycles on purpose:
- # if the user wants to catch the CycleError, that's fine,
- # they can continue using the instance to grab as many
- # nodes as possible before cycles block more progress
- cycle = self._find_cycle()
- if cycle:
- raise CycleError(f"nodes are in a cycle", cycle)
- def get_ready(self):
- """Return a tuple of all the nodes that are ready.
- Initially it returns all nodes with no predecessors; once those are marked
- as processed by calling "done", further calls will return all new nodes that
- have all their predecessors already processed. Once no more progress can be made,
- empty tuples are returned.
- Raises ValueError if called without calling "prepare" previously.
- """
- if self._ready_nodes is None:
- raise ValueError("prepare() must be called first")
- # Get the nodes that are ready and mark them
- result = tuple(self._ready_nodes)
- n2i = self._node2info
- for node in result:
- n2i[node].npredecessors = _NODE_OUT
- # Clean the list of nodes that are ready and update
- # the counter of nodes that we have returned.
- self._ready_nodes.clear()
- self._npassedout += len(result)
- return result
- def is_active(self):
- """Return ``True`` if more progress can be made and ``False`` otherwise.
- Progress can be made if cycles do not block the resolution and either there
- are still nodes ready that haven't yet been returned by "get_ready" or the
- number of nodes marked "done" is less than the number that have been returned
- by "get_ready".
- Raises ValueError if called without calling "prepare" previously.
- """
- if self._ready_nodes is None:
- raise ValueError("prepare() must be called first")
- return self._nfinished < self._npassedout or bool(self._ready_nodes)
- def __bool__(self):
- return self.is_active()
- def done(self, *nodes):
- """Marks a set of nodes returned by "get_ready" as processed.
- This method unblocks any successor of each node in *nodes* for being returned
- in the future by a call to "get_ready".
- Raises :exec:`ValueError` if any node in *nodes* has already been marked as
- processed by a previous call to this method, if a node was not added to the
- graph by using "add" or if called without calling "prepare" previously or if
- node has not yet been returned by "get_ready".
- """
- if self._ready_nodes is None:
- raise ValueError("prepare() must be called first")
- n2i = self._node2info
- for node in nodes:
- # Check if we know about this node (it was added previously using add()
- if (nodeinfo := n2i.get(node)) is None:
- raise ValueError(f"node {node!r} was not added using add()")
- # If the node has not being returned (marked as ready) previously, inform the user.
- stat = nodeinfo.npredecessors
- if stat != _NODE_OUT:
- if stat >= 0:
- raise ValueError(
- f"node {node!r} was not passed out (still not ready)"
- )
- elif stat == _NODE_DONE:
- raise ValueError(f"node {node!r} was already marked done")
- else:
- assert False, f"node {node!r}: unknown status {stat}"
- # Mark the node as processed
- nodeinfo.npredecessors = _NODE_DONE
- # Go to all the successors and reduce the number of predecessors, collecting all the ones
- # that are ready to be returned in the next get_ready() call.
- for successor in nodeinfo.successors:
- successor_info = n2i[successor]
- successor_info.npredecessors -= 1
- if successor_info.npredecessors == 0:
- self._ready_nodes.append(successor)
- self._nfinished += 1
- def _find_cycle(self):
- n2i = self._node2info
- stack = []
- itstack = []
- seen = set()
- node2stacki = {}
- for node in n2i:
- if node in seen:
- continue
- while True:
- if node in seen:
- # If we have seen already the node and is in the
- # current stack we have found a cycle.
- if node in node2stacki:
- return stack[node2stacki[node] :] + [node]
- # else go on to get next successor
- else:
- seen.add(node)
- itstack.append(iter(n2i[node].successors).__next__)
- node2stacki[node] = len(stack)
- stack.append(node)
- # Backtrack to the topmost stack entry with
- # at least another successor.
- while stack:
- try:
- node = itstack[-1]()
- break
- except StopIteration:
- del node2stacki[stack.pop()]
- itstack.pop()
- else:
- break
- return None
- def static_order(self):
- """Returns an iterable of nodes in a topological order.
- The particular order that is returned may depend on the specific
- order in which the items were inserted in the graph.
- Using this method does not require to call "prepare" or "done". If any
- cycle is detected, :exc:`CycleError` will be raised.
- """
- self.prepare()
- while self.is_active():
- node_group = self.get_ready()
- yield from node_group
- self.done(*node_group)
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