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@ -21,6 +21,15 @@ from itertools import chain
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from britney2.utils import (ifilter_only, iter_except)
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class OrderNode(object):
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__slots__ = ['before', 'after']
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def __init__(self):
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self.after = set()
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self.before = set()
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def compute_scc(graph):
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"""Iterative algorithm for strongly-connected components
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@ -35,7 +44,7 @@ def compute_scc(graph):
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node_stack = []
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def _cannot_be_a_scc(graph_node):
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if not graph[graph_node]['before'] or not graph[graph_node]['after']:
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if not graph[graph_node].before or not graph[graph_node].after:
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# Short-cut obviously isolated component
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result.append((graph_node,))
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# Set the item number so high that no other item might
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@ -63,7 +72,7 @@ def compute_scc(graph):
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continue
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succ_num = len(low)
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low[succ] = succ_num
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work_stack.append((succ, len(node_stack), succ_num, graph[succ]['before']))
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work_stack.append((succ, len(node_stack), succ_num, graph[succ].before))
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node_stack.append(succ)
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# "Recurse" into the child node first
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return True
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@ -81,7 +90,7 @@ def compute_scc(graph):
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low[n] = root_num
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# DFS work-stack needed to avoid call recursion. It (more or less)
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# replaces the variables on the call stack in Tarjan's algorithm
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work_stack = [(n, len(node_stack), root_num, graph[n]['before'])]
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work_stack = [(n, len(node_stack), root_num, graph[n].before)]
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node_stack.append(n)
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while work_stack:
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node, stack_idx, orig_node_num, successors = work_stack[-1]
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@ -132,17 +141,18 @@ def apply_order(key, relation, ptable, order, negative_relation, debug_solver, l
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if other == key:
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# "Self-relation" => ignore
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return
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order_key = order[key]
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if negative_relation:
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order_key_fwd = 'before'
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order_key_back = 'after'
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order_key.before.add(other)
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order[other].after.add(key)
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debug_check = order_key.before
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else:
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order_key_fwd = 'after'
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order_key_back = 'before'
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if debug_solver and other not in order[key][order_key_fwd]: # pragma: no cover
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order_key.after.add(other)
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order[other].before.add(key)
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debug_check = order_key.after
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if debug_solver and other not in debug_check: # pragma: no cover
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cause = 'Conflict' if negative_relation else 'Conflict'
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logger.debug("%s induced order: %s before %s", cause, key, other)
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order[key][order_key_fwd].add(other)
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order[other][order_key_back].add(key)
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class InstallabilitySolver(object):
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@ -207,16 +217,16 @@ class InstallabilitySolver(object):
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other_rms.add(other)
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for other in (other_adds - other_rms):
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if debug_solver and other != key and other not in order[key]['after']: # pragma: no cover
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if debug_solver and other != key and other not in order[key].after: # pragma: no cover
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self.logger.debug("Dependency induced order (add): %s before %s", key, other)
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order[key]['after'].add(other)
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order[other]['before'].add(key)
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order[key].after.add(other)
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order[other].before.add(key)
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for other in (other_rms - other_adds):
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if debug_solver and other != key and other not in order[key]['before']: # pragma: no cover
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if debug_solver and other != key and other not in order[key].before: # pragma: no cover
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self.logger.debug("Dependency induced order (remove): %s before %s", key, other)
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order[key]['before'].add(other)
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order[other]['after'].add(key)
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order[key].before.add(other)
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order[other].after.add(key)
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def _compute_group_order(self, groups, key2item):
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universe = self._universe
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@ -231,7 +241,7 @@ class InstallabilitySolver(object):
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for (item, adds, rms) in groups:
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key = str(item)
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key2item[key] = item
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order[key] = {'before': set(), 'after': set()}
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order[key] = OrderNode()
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going_in.update(adds)
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going_out.update(rms)
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for x in chain(adds, rms):
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@ -271,13 +281,13 @@ class InstallabilitySolver(object):
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if len(com) < 2:
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# Trivial case
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continue
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so_before = order[scc_id]['before']
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so_after = order[scc_id]['after']
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so_before = order[scc_id].before
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so_after = order[scc_id].after
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for n in com:
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if n == scc_id:
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continue
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so_before.update(order[n]['before'])
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so_after.update(order[n]['after'])
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so_before.update(order[n].before)
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so_after.update(order[n].after)
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merged[n] = scc_id
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del order[n]
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if debug_solver: # pragma: no cover
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@ -285,22 +295,22 @@ class InstallabilitySolver(object):
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for com in comps:
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node = com[0]
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nbefore = set(merged[b] for b in order[node]['before'])
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nafter = set(merged[b] for b in order[node]['after'])
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nbefore = set(merged[b] for b in order[node].before)
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nafter = set(merged[b] for b in order[node].after)
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# Drop self-relations (usually caused by the merging)
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nbefore.discard(node)
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nafter.discard(node)
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order[node]['before'] = nbefore
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order[node]['after'] = nafter
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order[node].before = nbefore
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order[node].after = nafter
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for com in comps:
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scc_id = com[0]
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for other_scc_id in order[scc_id]['before']:
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order[other_scc_id]['after'].add(scc_id)
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for other_scc_id in order[scc_id]['after']:
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order[other_scc_id]['before'].add(scc_id)
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for other_scc_id in order[scc_id].before:
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order[other_scc_id].after.add(scc_id)
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for other_scc_id in order[scc_id].after:
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order[other_scc_id].before.add(scc_id)
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return scc
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@ -338,14 +348,14 @@ class InstallabilitySolver(object):
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initial_round = []
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for com in sorted(order):
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if debug_solver and order[com]['before']: # pragma: no cover
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self.logger.debug("N: %s <= %s", com, str(sorted(order[com]['before'])))
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if not order[com]['after']:
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if debug_solver and order[com].before: # pragma: no cover
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self.logger.debug("N: %s <= %s", com, str(sorted(order[com].before)))
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if not order[com].after:
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# This component can be scheduled immediately, add it
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# to the queue
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initial_round.append(com)
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elif debug_solver: # pragma: no cover
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self.logger.debug("N: %s >= %s", com, str(sorted(order[com]['after'])))
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self.logger.debug("N: %s >= %s", com, str(sorted(order[com].after)))
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queue.extend(sorted(initial_round, key=len))
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del initial_round
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@ -355,18 +365,18 @@ class InstallabilitySolver(object):
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self.logger.debug("-- LINEARIZED ORDER --")
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for cur in iter_except(queue.popleft, IndexError):
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if order[cur]['after'] <= emitted and cur not in emitted:
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if order[cur].after <= emitted and cur not in emitted:
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# This item is ready to be emitted right now
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if debug_solver: # pragma: no cover
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self.logger.debug("%s -- %s", cur, sorted(scc_items[cur]))
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emitted.add(cur)
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result.append([key2item[x] for x in scc_items[cur]])
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if order[cur]['before']:
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if order[cur].before:
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# There are components that come after this one.
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# Add it to queue:
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# - if it is ready, it will be emitted.
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# - else, it will be dropped and re-added later.
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queue.extend(sorted(order[cur]['before'] - emitted, key=len))
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queue.extend(sorted(order[cur].before - emitted, key=len))
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if debug_solver: # pragma: no cover
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self.logger.debug("-- END LINEARIZED ORDER --")
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