bpo-17005: Move topological sort functionality to its own module (GH-20558)
The topological sort functionality that was introduced initially in the
functools module has been moved to a new graphlib module to
better accommodate the new tools and keep the original scope of the
functools module.
diff --git a/Lib/functools.py b/Lib/functools.py
index 87c7d87..5cab497 100644
--- a/Lib/functools.py
+++ b/Lib/functools.py
@@ -11,7 +11,6 @@
__all__ = ['update_wrapper', 'wraps', 'WRAPPER_ASSIGNMENTS', 'WRAPPER_UPDATES',
'total_ordering', 'cache', 'cmp_to_key', 'lru_cache', 'reduce',
- 'TopologicalSorter', 'CycleError',
'partial', 'partialmethod', 'singledispatch', 'singledispatchmethod',
'cached_property']
@@ -199,250 +198,6 @@
setattr(cls, opname, opfunc)
return cls
-################################################################################
-### topological sort
-################################################################################
-
-_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 TopologicalSorterif cycles exist in the 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 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)
-
################################################################################
### cmp_to_key() function converter
diff --git a/Lib/graphlib.py b/Lib/graphlib.py
new file mode 100644
index 0000000..948f62f
--- /dev/null
+++ b/Lib/graphlib.py
@@ -0,0 +1,245 @@
+__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 TopologicalSorterif cycles exist in the 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 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)
diff --git a/Lib/test/test_functools.py b/Lib/test/test_functools.py
index 72b7765..e726188 100644
--- a/Lib/test/test_functools.py
+++ b/Lib/test/test_functools.py
@@ -3,7 +3,7 @@
import collections
import collections.abc
import copy
-from itertools import permutations, chain
+from itertools import permutations
import pickle
from random import choice
import sys
@@ -1164,275 +1164,6 @@
return self.value == other.value
-class TestTopologicalSort(unittest.TestCase):
-
- def _test_graph(self, graph, expected):
-
- def static_order_with_groups(ts):
- ts.prepare()
- while ts.is_active():
- nodes = ts.get_ready()
- for node in nodes:
- ts.done(node)
- yield nodes
-
- ts = functools.TopologicalSorter(graph)
- self.assertEqual(list(static_order_with_groups(ts)), list(expected))
-
- ts = functools.TopologicalSorter(graph)
- self.assertEqual(list(ts.static_order()), list(chain(*expected)))
-
- def _assert_cycle(self, graph, cycle):
- ts = functools.TopologicalSorter()
- for node, dependson in graph.items():
- ts.add(node, *dependson)
- try:
- ts.prepare()
- except functools.CycleError as e:
- msg, seq = e.args
- self.assertIn(' '.join(map(str, cycle)),
- ' '.join(map(str, seq * 2)))
- else:
- raise
-
- def test_simple_cases(self):
- self._test_graph(
- {2: {11},
- 9: {11, 8},
- 10: {11, 3},
- 11: {7, 5},
- 8: {7, 3}},
- [(3, 5, 7), (11, 8), (2, 10, 9)]
- )
-
- self._test_graph({1: {}}, [(1,)])
-
- self._test_graph({x: {x+1} for x in range(10)},
- [(x,) for x in range(10, -1, -1)])
-
- self._test_graph({2: {3}, 3: {4}, 4: {5}, 5: {1},
- 11: {12}, 12: {13}, 13: {14}, 14: {15}},
- [(1, 15), (5, 14), (4, 13), (3, 12), (2, 11)])
-
- self._test_graph({
- 0: [1, 2],
- 1: [3],
- 2: [5, 6],
- 3: [4],
- 4: [9],
- 5: [3],
- 6: [7],
- 7: [8],
- 8: [4],
- 9: []
- },
- [(9,), (4,), (3, 8), (1, 5, 7), (6,), (2,), (0,)]
- )
-
- self._test_graph({
- 0: [1, 2],
- 1: [],
- 2: [3],
- 3: []
- },
- [(1, 3), (2,), (0,)]
- )
-
- self._test_graph({
- 0: [1, 2],
- 1: [],
- 2: [3],
- 3: [],
- 4: [5],
- 5: [6],
- 6: []
- },
- [(1, 3, 6), (2, 5), (0, 4)]
- )
-
- def test_no_dependencies(self):
- self._test_graph(
- {1: {2},
- 3: {4},
- 5: {6}},
- [(2, 4, 6), (1, 3, 5)]
- )
-
- self._test_graph(
- {1: set(),
- 3: set(),
- 5: set()},
- [(1, 3, 5)]
- )
-
- def test_the_node_multiple_times(self):
- # Test same node multiple times in dependencies
- self._test_graph({1: {2}, 3: {4}, 0: [2, 4, 4, 4, 4, 4]},
- [(2, 4), (1, 3, 0)])
-
- # Test adding the same dependency multiple times
- ts = functools.TopologicalSorter()
- ts.add(1, 2)
- ts.add(1, 2)
- ts.add(1, 2)
- self.assertEqual([*ts.static_order()], [2, 1])
-
- def test_graph_with_iterables(self):
- dependson = (2*x + 1 for x in range(5))
- ts = functools.TopologicalSorter({0: dependson})
- self.assertEqual(list(ts.static_order()), [1, 3, 5, 7, 9, 0])
-
- def test_add_dependencies_for_same_node_incrementally(self):
- # Test same node multiple times
- ts = functools.TopologicalSorter()
- ts.add(1, 2)
- ts.add(1, 3)
- ts.add(1, 4)
- ts.add(1, 5)
-
- ts2 = functools.TopologicalSorter({1: {2, 3, 4, 5}})
- self.assertEqual([*ts.static_order()], [*ts2.static_order()])
-
- def test_empty(self):
- self._test_graph({}, [])
-
- def test_cycle(self):
- # Self cycle
- self._assert_cycle({1: {1}}, [1, 1])
- # Simple cycle
- self._assert_cycle({1: {2}, 2: {1}}, [1, 2, 1])
- # Indirect cycle
- self._assert_cycle({1: {2}, 2: {3}, 3: {1}}, [1, 3, 2, 1])
- # not all elements involved in a cycle
- self._assert_cycle({1: {2}, 2: {3}, 3: {1}, 5: {4}, 4: {6}}, [1, 3, 2, 1])
- # Multiple cycles
- self._assert_cycle({1: {2}, 2: {1}, 3: {4}, 4: {5}, 6: {7}, 7: {6}},
- [1, 2, 1])
- # Cycle in the middle of the graph
- self._assert_cycle({1: {2}, 2: {3}, 3: {2, 4}, 4: {5}}, [3, 2])
-
- def test_calls_before_prepare(self):
- ts = functools.TopologicalSorter()
-
- with self.assertRaisesRegex(ValueError, r"prepare\(\) must be called first"):
- ts.get_ready()
- with self.assertRaisesRegex(ValueError, r"prepare\(\) must be called first"):
- ts.done(3)
- with self.assertRaisesRegex(ValueError, r"prepare\(\) must be called first"):
- ts.is_active()
-
- def test_prepare_multiple_times(self):
- ts = functools.TopologicalSorter()
- ts.prepare()
- with self.assertRaisesRegex(ValueError, r"cannot prepare\(\) more than once"):
- ts.prepare()
-
- def test_invalid_nodes_in_done(self):
- ts = functools.TopologicalSorter()
- ts.add(1, 2, 3, 4)
- ts.add(2, 3, 4)
- ts.prepare()
- ts.get_ready()
-
- with self.assertRaisesRegex(ValueError, "node 2 was not passed out"):
- ts.done(2)
- with self.assertRaisesRegex(ValueError, r"node 24 was not added using add\(\)"):
- ts.done(24)
-
- def test_done(self):
- ts = functools.TopologicalSorter()
- ts.add(1, 2, 3, 4)
- ts.add(2, 3)
- ts.prepare()
-
- self.assertEqual(ts.get_ready(), (3, 4))
- # If we don't mark anything as done, get_ready() returns nothing
- self.assertEqual(ts.get_ready(), ())
- ts.done(3)
- # Now 2 becomes available as 3 is done
- self.assertEqual(ts.get_ready(), (2,))
- self.assertEqual(ts.get_ready(), ())
- ts.done(4)
- ts.done(2)
- # Only 1 is missing
- self.assertEqual(ts.get_ready(), (1,))
- self.assertEqual(ts.get_ready(), ())
- ts.done(1)
- self.assertEqual(ts.get_ready(), ())
- self.assertFalse(ts.is_active())
-
- def test_is_active(self):
- ts = functools.TopologicalSorter()
- ts.add(1, 2)
- ts.prepare()
-
- self.assertTrue(ts.is_active())
- self.assertEqual(ts.get_ready(), (2,))
- self.assertTrue(ts.is_active())
- ts.done(2)
- self.assertTrue(ts.is_active())
- self.assertEqual(ts.get_ready(), (1,))
- self.assertTrue(ts.is_active())
- ts.done(1)
- self.assertFalse(ts.is_active())
-
- def test_not_hashable_nodes(self):
- ts = functools.TopologicalSorter()
- self.assertRaises(TypeError, ts.add, dict(), 1)
- self.assertRaises(TypeError, ts.add, 1, dict())
- self.assertRaises(TypeError, ts.add, dict(), dict())
-
- def test_order_of_insertion_does_not_matter_between_groups(self):
- def get_groups(ts):
- ts.prepare()
- while ts.is_active():
- nodes = ts.get_ready()
- ts.done(*nodes)
- yield set(nodes)
-
- ts = functools.TopologicalSorter()
- ts.add(3, 2, 1)
- ts.add(1, 0)
- ts.add(4, 5)
- ts.add(6, 7)
- ts.add(4, 7)
-
- ts2 = functools.TopologicalSorter()
- ts2.add(1, 0)
- ts2.add(3, 2, 1)
- ts2.add(4, 7)
- ts2.add(6, 7)
- ts2.add(4, 5)
-
- self.assertEqual(list(get_groups(ts)), list(get_groups(ts2)))
-
- def test_static_order_does_not_change_with_the_hash_seed(self):
- def check_order_with_hash_seed(seed):
- code = """if 1:
- import functools
- ts = functools.TopologicalSorter()
- ts.add('blech', 'bluch', 'hola')
- ts.add('abcd', 'blech', 'bluch', 'a', 'b')
- ts.add('a', 'a string', 'something', 'b')
- ts.add('bluch', 'hola', 'abcde', 'a', 'b')
- print(list(ts.static_order()))
- """
- env = os.environ.copy()
- # signal to assert_python not to do a copy
- # of os.environ on its own
- env['__cleanenv'] = True
- env['PYTHONHASHSEED'] = str(seed)
- out = assert_python_ok('-c', code, **env)
- return out
-
- run1 = check_order_with_hash_seed(1234)
- run2 = check_order_with_hash_seed(31415)
-
- self.assertNotEqual(run1, "")
- self.assertNotEqual(run2, "")
- self.assertEqual(run1, run2)
-
-
class TestCache:
# This tests that the pass-through is working as designed.
# The underlying functionality is tested in TestLRU.
diff --git a/Lib/test/test_graphlib.py b/Lib/test/test_graphlib.py
new file mode 100644
index 0000000..0043253
--- /dev/null
+++ b/Lib/test/test_graphlib.py
@@ -0,0 +1,244 @@
+from itertools import chain
+import graphlib
+import os
+import unittest
+
+from test.support.script_helper import assert_python_ok
+
+class TestTopologicalSort(unittest.TestCase):
+ def _test_graph(self, graph, expected):
+ def static_order_with_groups(ts):
+ ts.prepare()
+ while ts.is_active():
+ nodes = ts.get_ready()
+ for node in nodes:
+ ts.done(node)
+ yield nodes
+
+ ts = graphlib.TopologicalSorter(graph)
+ self.assertEqual(list(static_order_with_groups(ts)), list(expected))
+
+ ts = graphlib.TopologicalSorter(graph)
+ self.assertEqual(list(ts.static_order()), list(chain(*expected)))
+
+ def _assert_cycle(self, graph, cycle):
+ ts = graphlib.TopologicalSorter()
+ for node, dependson in graph.items():
+ ts.add(node, *dependson)
+ try:
+ ts.prepare()
+ except graphlib.CycleError as e:
+ msg, seq = e.args
+ self.assertIn(" ".join(map(str, cycle)), " ".join(map(str, seq * 2)))
+ else:
+ raise
+
+ def test_simple_cases(self):
+ self._test_graph(
+ {2: {11}, 9: {11, 8}, 10: {11, 3}, 11: {7, 5}, 8: {7, 3}},
+ [(3, 5, 7), (11, 8), (2, 10, 9)],
+ )
+
+ self._test_graph({1: {}}, [(1,)])
+
+ self._test_graph(
+ {x: {x + 1} for x in range(10)}, [(x,) for x in range(10, -1, -1)]
+ )
+
+ self._test_graph(
+ {2: {3}, 3: {4}, 4: {5}, 5: {1}, 11: {12}, 12: {13}, 13: {14}, 14: {15}},
+ [(1, 15), (5, 14), (4, 13), (3, 12), (2, 11)],
+ )
+
+ self._test_graph(
+ {
+ 0: [1, 2],
+ 1: [3],
+ 2: [5, 6],
+ 3: [4],
+ 4: [9],
+ 5: [3],
+ 6: [7],
+ 7: [8],
+ 8: [4],
+ 9: [],
+ },
+ [(9,), (4,), (3, 8), (1, 5, 7), (6,), (2,), (0,)],
+ )
+
+ self._test_graph({0: [1, 2], 1: [], 2: [3], 3: []}, [(1, 3), (2,), (0,)])
+
+ self._test_graph(
+ {0: [1, 2], 1: [], 2: [3], 3: [], 4: [5], 5: [6], 6: []},
+ [(1, 3, 6), (2, 5), (0, 4)],
+ )
+
+ def test_no_dependencies(self):
+ self._test_graph({1: {2}, 3: {4}, 5: {6}}, [(2, 4, 6), (1, 3, 5)])
+
+ self._test_graph({1: set(), 3: set(), 5: set()}, [(1, 3, 5)])
+
+ def test_the_node_multiple_times(self):
+ # Test same node multiple times in dependencies
+ self._test_graph({1: {2}, 3: {4}, 0: [2, 4, 4, 4, 4, 4]}, [(2, 4), (1, 3, 0)])
+
+ # Test adding the same dependency multiple times
+ ts = graphlib.TopologicalSorter()
+ ts.add(1, 2)
+ ts.add(1, 2)
+ ts.add(1, 2)
+ self.assertEqual([*ts.static_order()], [2, 1])
+
+ def test_graph_with_iterables(self):
+ dependson = (2 * x + 1 for x in range(5))
+ ts = graphlib.TopologicalSorter({0: dependson})
+ self.assertEqual(list(ts.static_order()), [1, 3, 5, 7, 9, 0])
+
+ def test_add_dependencies_for_same_node_incrementally(self):
+ # Test same node multiple times
+ ts = graphlib.TopologicalSorter()
+ ts.add(1, 2)
+ ts.add(1, 3)
+ ts.add(1, 4)
+ ts.add(1, 5)
+
+ ts2 = graphlib.TopologicalSorter({1: {2, 3, 4, 5}})
+ self.assertEqual([*ts.static_order()], [*ts2.static_order()])
+
+ def test_empty(self):
+ self._test_graph({}, [])
+
+ def test_cycle(self):
+ # Self cycle
+ self._assert_cycle({1: {1}}, [1, 1])
+ # Simple cycle
+ self._assert_cycle({1: {2}, 2: {1}}, [1, 2, 1])
+ # Indirect cycle
+ self._assert_cycle({1: {2}, 2: {3}, 3: {1}}, [1, 3, 2, 1])
+ # not all elements involved in a cycle
+ self._assert_cycle({1: {2}, 2: {3}, 3: {1}, 5: {4}, 4: {6}}, [1, 3, 2, 1])
+ # Multiple cycles
+ self._assert_cycle({1: {2}, 2: {1}, 3: {4}, 4: {5}, 6: {7}, 7: {6}}, [1, 2, 1])
+ # Cycle in the middle of the graph
+ self._assert_cycle({1: {2}, 2: {3}, 3: {2, 4}, 4: {5}}, [3, 2])
+
+ def test_calls_before_prepare(self):
+ ts = graphlib.TopologicalSorter()
+
+ with self.assertRaisesRegex(ValueError, r"prepare\(\) must be called first"):
+ ts.get_ready()
+ with self.assertRaisesRegex(ValueError, r"prepare\(\) must be called first"):
+ ts.done(3)
+ with self.assertRaisesRegex(ValueError, r"prepare\(\) must be called first"):
+ ts.is_active()
+
+ def test_prepare_multiple_times(self):
+ ts = graphlib.TopologicalSorter()
+ ts.prepare()
+ with self.assertRaisesRegex(ValueError, r"cannot prepare\(\) more than once"):
+ ts.prepare()
+
+ def test_invalid_nodes_in_done(self):
+ ts = graphlib.TopologicalSorter()
+ ts.add(1, 2, 3, 4)
+ ts.add(2, 3, 4)
+ ts.prepare()
+ ts.get_ready()
+
+ with self.assertRaisesRegex(ValueError, "node 2 was not passed out"):
+ ts.done(2)
+ with self.assertRaisesRegex(ValueError, r"node 24 was not added using add\(\)"):
+ ts.done(24)
+
+ def test_done(self):
+ ts = graphlib.TopologicalSorter()
+ ts.add(1, 2, 3, 4)
+ ts.add(2, 3)
+ ts.prepare()
+
+ self.assertEqual(ts.get_ready(), (3, 4))
+ # If we don't mark anything as done, get_ready() returns nothing
+ self.assertEqual(ts.get_ready(), ())
+ ts.done(3)
+ # Now 2 becomes available as 3 is done
+ self.assertEqual(ts.get_ready(), (2,))
+ self.assertEqual(ts.get_ready(), ())
+ ts.done(4)
+ ts.done(2)
+ # Only 1 is missing
+ self.assertEqual(ts.get_ready(), (1,))
+ self.assertEqual(ts.get_ready(), ())
+ ts.done(1)
+ self.assertEqual(ts.get_ready(), ())
+ self.assertFalse(ts.is_active())
+
+ def test_is_active(self):
+ ts = graphlib.TopologicalSorter()
+ ts.add(1, 2)
+ ts.prepare()
+
+ self.assertTrue(ts.is_active())
+ self.assertEqual(ts.get_ready(), (2,))
+ self.assertTrue(ts.is_active())
+ ts.done(2)
+ self.assertTrue(ts.is_active())
+ self.assertEqual(ts.get_ready(), (1,))
+ self.assertTrue(ts.is_active())
+ ts.done(1)
+ self.assertFalse(ts.is_active())
+
+ def test_not_hashable_nodes(self):
+ ts = graphlib.TopologicalSorter()
+ self.assertRaises(TypeError, ts.add, dict(), 1)
+ self.assertRaises(TypeError, ts.add, 1, dict())
+ self.assertRaises(TypeError, ts.add, dict(), dict())
+
+ def test_order_of_insertion_does_not_matter_between_groups(self):
+ def get_groups(ts):
+ ts.prepare()
+ while ts.is_active():
+ nodes = ts.get_ready()
+ ts.done(*nodes)
+ yield set(nodes)
+
+ ts = graphlib.TopologicalSorter()
+ ts.add(3, 2, 1)
+ ts.add(1, 0)
+ ts.add(4, 5)
+ ts.add(6, 7)
+ ts.add(4, 7)
+
+ ts2 = graphlib.TopologicalSorter()
+ ts2.add(1, 0)
+ ts2.add(3, 2, 1)
+ ts2.add(4, 7)
+ ts2.add(6, 7)
+ ts2.add(4, 5)
+
+ self.assertEqual(list(get_groups(ts)), list(get_groups(ts2)))
+
+ def test_static_order_does_not_change_with_the_hash_seed(self):
+ def check_order_with_hash_seed(seed):
+ code = """if 1:
+ import graphlib
+ ts = graphlib.TopologicalSorter()
+ ts.add('blech', 'bluch', 'hola')
+ ts.add('abcd', 'blech', 'bluch', 'a', 'b')
+ ts.add('a', 'a string', 'something', 'b')
+ ts.add('bluch', 'hola', 'abcde', 'a', 'b')
+ print(list(ts.static_order()))
+ """
+ env = os.environ.copy()
+ # signal to assert_python not to do a copy
+ # of os.environ on its own
+ env["__cleanenv"] = True
+ env["PYTHONHASHSEED"] = str(seed)
+ out = assert_python_ok("-c", code, **env)
+ return out
+
+ run1 = check_order_with_hash_seed(1234)
+ run2 = check_order_with_hash_seed(31415)
+
+ self.assertNotEqual(run1, "")
+ self.assertNotEqual(run2, "")
+ self.assertEqual(run1, run2)