This document describes the current stable version of Celery (5.4). For development docs, go here.

Source code for celery.utils.graph

"""Dependency graph implementation."""
from collections import Counter
from textwrap import dedent

from kombu.utils.encoding import bytes_to_str, safe_str

__all__ = ('DOT', 'CycleError', 'DependencyGraph', 'GraphFormatter')

[docs] class DOT: """Constants related to the dot format.""" HEAD = dedent(""" {IN}{type} {id} {{ {INp}graph [{attrs}] """) ATTR = '{name}={value}' NODE = '{INp}"{0}" [{attrs}]' EDGE = '{INp}"{0}" {dir} "{1}" [{attrs}]' ATTRSEP = ', ' DIRS = {'graph': '--', 'digraph': '->'} TAIL = '{IN}}}'
[docs] class CycleError(Exception): """A cycle was detected in an acyclic graph."""
[docs] class DependencyGraph: """A directed acyclic graph of objects and their dependencies. Supports a robust topological sort to detect the order in which they must be handled. Takes an optional iterator of ``(obj, dependencies)`` tuples to build the graph from. Warning: Does not support cycle detection. """ def __init__(self, it=None, formatter=None): self.formatter = formatter or GraphFormatter() self.adjacent = {} if it is not None: self.update(it)
[docs] def add_arc(self, obj): """Add an object to the graph.""" self.adjacent.setdefault(obj, [])
[docs] def add_edge(self, A, B): """Add an edge from object ``A`` to object ``B``. I.e. ``A`` depends on ``B``. """ self[A].append(B)
[docs] def connect(self, graph): """Add nodes from another graph.""" self.adjacent.update(graph.adjacent)
[docs] def topsort(self): """Sort the graph topologically. Returns: List: of objects in the order in which they must be handled. """ graph = DependencyGraph() components = self._tarjan72() NC = { node: component for component in components for node in component } for component in components: graph.add_arc(component) for node in self: node_c = NC[node] for successor in self[node]: successor_c = NC[successor] if node_c != successor_c: graph.add_edge(node_c, successor_c) return [t[0] for t in graph._khan62()]
[docs] def valency_of(self, obj): """Return the valency (degree) of a vertex in the graph.""" try: l = [len(self[obj])] except KeyError: return 0 for node in self[obj]: l.append(self.valency_of(node)) return sum(l)
[docs] def update(self, it): """Update graph with data from a list of ``(obj, deps)`` tuples.""" tups = list(it) for obj, _ in tups: self.add_arc(obj) for obj, deps in tups: for dep in deps: self.add_edge(obj, dep)
[docs] def edges(self): """Return generator that yields for all edges in the graph.""" return (obj for obj, adj in self.items() if adj)
def _khan62(self): """Perform Khan's simple topological sort algorithm from '62. See """ count = Counter() result = [] for node in self: for successor in self[node]: count[successor] += 1 ready = [node for node in self if not count[node]] while ready: node = ready.pop() result.append(node) for successor in self[node]: count[successor] -= 1 if count[successor] == 0: ready.append(successor) result.reverse() return result def _tarjan72(self): """Perform Tarjan's algorithm to find strongly connected components. See Also: :wikipedia:`Tarjan%27s_strongly_connected_components_algorithm` """ result, stack, low = [], [], {} def visit(node): if node in low: return num = len(low) low[node] = num stack_pos = len(stack) stack.append(node) for successor in self[node]: visit(successor) low[node] = min(low[node], low[successor]) if num == low[node]: component = tuple(stack[stack_pos:]) stack[stack_pos:] = [] result.append(component) for item in component: low[item] = len(self) for node in self: visit(node) return result
[docs] def to_dot(self, fh, formatter=None): """Convert the graph to DOT format. Arguments: fh (IO): A file, or a file-like object to write the graph to. formatter (celery.utils.graph.GraphFormatter): Custom graph formatter to use. """ seen = set() draw = formatter or self.formatter def P(s): print(bytes_to_str(s), file=fh) def if_not_seen(fun, obj): if draw.label(obj) not in seen: P(fun(obj)) seen.add(draw.label(obj)) P(draw.head()) for obj, adjacent in self.items(): if not adjacent: if_not_seen(draw.terminal_node, obj) for req in adjacent: if_not_seen(draw.node, obj) P(draw.edge(obj, req)) P(draw.tail())
[docs] def format(self, obj): return self.formatter(obj) if self.formatter else obj
def __iter__(self): return iter(self.adjacent) def __getitem__(self, node): return self.adjacent[node] def __len__(self): return len(self.adjacent) def __contains__(self, obj): return obj in self.adjacent def _iterate_items(self): return self.adjacent.items() items = iteritems = _iterate_items def __repr__(self): return '\n'.join(self.repr_node(N) for N in self)
[docs] def repr_node(self, obj, level=1, fmt='{0}({1})'): output = [fmt.format(obj, self.valency_of(obj))] if obj in self: for other in self[obj]: d = fmt.format(other, self.valency_of(other)) output.append(' ' * level + d) output.extend(self.repr_node(other, level + 1).split('\n')[1:]) return '\n'.join(output)
[docs] class GraphFormatter: """Format dependency graphs.""" _attr = DOT.ATTR.strip() _node = DOT.NODE.strip() _edge = DOT.EDGE.strip() _head = DOT.HEAD.strip() _tail = DOT.TAIL.strip() _attrsep = DOT.ATTRSEP _dirs = dict(DOT.DIRS) scheme = { 'shape': 'box', 'arrowhead': 'vee', 'style': 'filled', 'fontname': 'HelveticaNeue', } edge_scheme = { 'color': 'darkseagreen4', 'arrowcolor': 'black', 'arrowsize': 0.7, } node_scheme = {'fillcolor': 'palegreen3', 'color': 'palegreen4'} term_scheme = {'fillcolor': 'palegreen1', 'color': 'palegreen2'} graph_scheme = {'bgcolor': 'mintcream'} def __init__(self, root=None, type=None, id=None, indent=0, inw=' ' * 4, **scheme): = id or 'dependencies' self.root = root self.type = type or 'digraph' self.direction = self._dirs[self.type] self.IN = inw * (indent or 0) self.INp = self.IN + inw self.scheme = dict(self.scheme, **scheme) self.graph_scheme = dict(self.graph_scheme, root=self.label(self.root))
[docs] def attr(self, name, value): value = f'"{value}"' return self.FMT(self._attr, name=name, value=value)
[docs] def attrs(self, d, scheme=None): d = dict(self.scheme, **dict(scheme, **d or {}) if scheme else d) return self._attrsep.join( safe_str(self.attr(k, v)) for k, v in d.items() )
[docs] def head(self, **attrs): return self.FMT( self._head,, type=self.type, attrs=self.attrs(attrs, self.graph_scheme), )
[docs] def tail(self): return self.FMT(self._tail)
[docs] def label(self, obj): return obj
[docs] def node(self, obj, **attrs): return self.draw_node(obj, self.node_scheme, attrs)
[docs] def terminal_node(self, obj, **attrs): return self.draw_node(obj, self.term_scheme, attrs)
[docs] def edge(self, a, b, **attrs): return self.draw_edge(a, b, **attrs)
def _enc(self, s): return s.encode('utf-8', 'ignore')
[docs] def FMT(self, fmt, *args, **kwargs): return self._enc(fmt.format( *args, **dict(kwargs, IN=self.IN, INp=self.INp) ))
[docs] def draw_edge(self, a, b, scheme=None, attrs=None): return self.FMT( self._edge, self.label(a), self.label(b), dir=self.direction, attrs=self.attrs(attrs, self.edge_scheme), )
[docs] def draw_node(self, obj, scheme=None, attrs=None): return self.FMT( self._node, self.label(obj), attrs=self.attrs(attrs, scheme), )