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							- import collections
 
- from .compat import collections_abc
 
- from .providers import AbstractResolver
 
- from .structs import DirectedGraph
 
- RequirementInformation = collections.namedtuple(
 
-     "RequirementInformation", ["requirement", "parent"]
 
- )
 
- class ResolverException(Exception):
 
-     """A base class for all exceptions raised by this module.
 
-     Exceptions derived by this class should all be handled in this module. Any
 
-     bubbling pass the resolver should be treated as a bug.
 
-     """
 
- class RequirementsConflicted(ResolverException):
 
-     def __init__(self, criterion):
 
-         super(RequirementsConflicted, self).__init__(criterion)
 
-         self.criterion = criterion
 
-     def __str__(self):
 
-         return "Requirements conflict: {}".format(
 
-             ", ".join(repr(r) for r in self.criterion.iter_requirement()),
 
-         )
 
- class InconsistentCandidate(ResolverException):
 
-     def __init__(self, candidate, criterion):
 
-         super(InconsistentCandidate, self).__init__(candidate, criterion)
 
-         self.candidate = candidate
 
-         self.criterion = criterion
 
-     def __str__(self):
 
-         return "Provided candidate {!r} does not satisfy {}".format(
 
-             self.candidate,
 
-             ", ".join(repr(r) for r in self.criterion.iter_requirement()),
 
-         )
 
- class Criterion(object):
 
-     """Representation of possible resolution results of a package.
 
-     This holds three attributes:
 
-     * `information` is a collection of `RequirementInformation` pairs.
 
-       Each pair is a requirement contributing to this criterion, and the
 
-       candidate that provides the requirement.
 
-     * `incompatibilities` is a collection of all known not-to-work candidates
 
-       to exclude from consideration.
 
-     * `candidates` is a collection containing all possible candidates deducted
 
-       from the union of contributing requirements and known incompatibilities.
 
-       It should never be empty, except when the criterion is an attribute of a
 
-       raised `RequirementsConflicted` (in which case it is always empty).
 
-     .. note::
 
-         This class is intended to be externally immutable. **Do not** mutate
 
-         any of its attribute containers.
 
-     """
 
-     def __init__(self, candidates, information, incompatibilities):
 
-         self.candidates = candidates
 
-         self.information = information
 
-         self.incompatibilities = incompatibilities
 
-     def __repr__(self):
 
-         requirements = ", ".join(
 
-             "({!r}, via={!r})".format(req, parent)
 
-             for req, parent in self.information
 
-         )
 
-         return "Criterion({})".format(requirements)
 
-     @classmethod
 
-     def from_requirement(cls, provider, requirement, parent):
 
-         """Build an instance from a requirement.
 
-         """
 
-         candidates = provider.find_matches([requirement])
 
-         if not isinstance(candidates, collections_abc.Sequence):
 
-             candidates = list(candidates)
 
-         criterion = cls(
 
-             candidates=candidates,
 
-             information=[RequirementInformation(requirement, parent)],
 
-             incompatibilities=[],
 
-         )
 
-         if not candidates:
 
-             raise RequirementsConflicted(criterion)
 
-         return criterion
 
-     def iter_requirement(self):
 
-         return (i.requirement for i in self.information)
 
-     def iter_parent(self):
 
-         return (i.parent for i in self.information)
 
-     def merged_with(self, provider, requirement, parent):
 
-         """Build a new instance from this and a new requirement.
 
-         """
 
-         infos = list(self.information)
 
-         infos.append(RequirementInformation(requirement, parent))
 
-         candidates = provider.find_matches([r for r, _ in infos])
 
-         if not isinstance(candidates, collections_abc.Sequence):
 
-             candidates = list(candidates)
 
-         criterion = type(self)(candidates, infos, list(self.incompatibilities))
 
-         if not candidates:
 
-             raise RequirementsConflicted(criterion)
 
-         return criterion
 
-     def excluded_of(self, candidate):
 
-         """Build a new instance from this, but excluding specified candidate.
 
-         Returns the new instance, or None if we still have no valid candidates.
 
-         """
 
-         incompats = list(self.incompatibilities)
 
-         incompats.append(candidate)
 
-         candidates = [c for c in self.candidates if c != candidate]
 
-         if not candidates:
 
-             return None
 
-         criterion = type(self)(candidates, list(self.information), incompats)
 
-         return criterion
 
- class ResolutionError(ResolverException):
 
-     pass
 
- class ResolutionImpossible(ResolutionError):
 
-     def __init__(self, causes):
 
-         super(ResolutionImpossible, self).__init__(causes)
 
-         # causes is a list of RequirementInformation objects
 
-         self.causes = causes
 
- class ResolutionTooDeep(ResolutionError):
 
-     def __init__(self, round_count):
 
-         super(ResolutionTooDeep, self).__init__(round_count)
 
-         self.round_count = round_count
 
- # Resolution state in a round.
 
- State = collections.namedtuple("State", "mapping criteria")
 
- class Resolution(object):
 
-     """Stateful resolution object.
 
-     This is designed as a one-off object that holds information to kick start
 
-     the resolution process, and holds the results afterwards.
 
-     """
 
-     def __init__(self, provider, reporter):
 
-         self._p = provider
 
-         self._r = reporter
 
-         self._states = []
 
-     @property
 
-     def state(self):
 
-         try:
 
-             return self._states[-1]
 
-         except IndexError:
 
-             raise AttributeError("state")
 
-     def _push_new_state(self):
 
-         """Push a new state into history.
 
-         This new state will be used to hold resolution results of the next
 
-         coming round.
 
-         """
 
-         try:
 
-             base = self._states[-1]
 
-         except IndexError:
 
-             state = State(mapping=collections.OrderedDict(), criteria={})
 
-         else:
 
-             state = State(
 
-                 mapping=base.mapping.copy(), criteria=base.criteria.copy(),
 
-             )
 
-         self._states.append(state)
 
-     def _merge_into_criterion(self, requirement, parent):
 
-         self._r.adding_requirement(requirement, parent)
 
-         name = self._p.identify(requirement)
 
-         try:
 
-             crit = self.state.criteria[name]
 
-         except KeyError:
 
-             crit = Criterion.from_requirement(self._p, requirement, parent)
 
-         else:
 
-             crit = crit.merged_with(self._p, requirement, parent)
 
-         return name, crit
 
-     def _get_criterion_item_preference(self, item):
 
-         name, criterion = item
 
-         try:
 
-             pinned = self.state.mapping[name]
 
-         except KeyError:
 
-             pinned = None
 
-         return self._p.get_preference(
 
-             pinned, criterion.candidates, criterion.information,
 
-         )
 
-     def _is_current_pin_satisfying(self, name, criterion):
 
-         try:
 
-             current_pin = self.state.mapping[name]
 
-         except KeyError:
 
-             return False
 
-         return all(
 
-             self._p.is_satisfied_by(r, current_pin)
 
-             for r in criterion.iter_requirement()
 
-         )
 
-     def _get_criteria_to_update(self, candidate):
 
-         criteria = {}
 
-         for r in self._p.get_dependencies(candidate):
 
-             name, crit = self._merge_into_criterion(r, parent=candidate)
 
-             criteria[name] = crit
 
-         return criteria
 
-     def _attempt_to_pin_criterion(self, name, criterion):
 
-         causes = []
 
-         for candidate in criterion.candidates:
 
-             try:
 
-                 criteria = self._get_criteria_to_update(candidate)
 
-             except RequirementsConflicted as e:
 
-                 causes.append(e.criterion)
 
-                 continue
 
-             # Check the newly-pinned candidate actually works. This should
 
-             # always pass under normal circumstances, but in the case of a
 
-             # faulty provider, we will raise an error to notify the implementer
 
-             # to fix find_matches() and/or is_satisfied_by().
 
-             satisfied = all(
 
-                 self._p.is_satisfied_by(r, candidate)
 
-                 for r in criterion.iter_requirement()
 
-             )
 
-             if not satisfied:
 
-                 raise InconsistentCandidate(candidate, criterion)
 
-             # Put newly-pinned candidate at the end. This is essential because
 
-             # backtracking looks at this mapping to get the last pin.
 
-             self._r.pinning(candidate)
 
-             self.state.mapping.pop(name, None)
 
-             self.state.mapping[name] = candidate
 
-             self.state.criteria.update(criteria)
 
-             return []
 
-         # All candidates tried, nothing works. This criterion is a dead
 
-         # end, signal for backtracking.
 
-         return causes
 
-     def _backtrack(self):
 
-         # Drop the current state, it's known not to work.
 
-         del self._states[-1]
 
-         # We need at least 2 states here:
 
-         # (a) One to backtrack to.
 
-         # (b) One to restore state (a) to its state prior to candidate-pinning,
 
-         #     so we can pin another one instead.
 
-         while len(self._states) >= 2:
 
-             # Retract the last candidate pin.
 
-             prev_state = self._states.pop()
 
-             try:
 
-                 name, candidate = prev_state.mapping.popitem()
 
-             except KeyError:
 
-                 continue
 
-             self._r.backtracking(candidate)
 
-             # Create a new state to work on, with the newly known not-working
 
-             # candidate excluded.
 
-             self._push_new_state()
 
-             # Mark the retracted candidate as incompatible.
 
-             criterion = self.state.criteria[name].excluded_of(candidate)
 
-             if criterion is None:
 
-                 # This state still does not work. Try the still previous state.
 
-                 del self._states[-1]
 
-                 continue
 
-             self.state.criteria[name] = criterion
 
-             return True
 
-         return False
 
-     def resolve(self, requirements, max_rounds):
 
-         if self._states:
 
-             raise RuntimeError("already resolved")
 
-         self._push_new_state()
 
-         for r in requirements:
 
-             try:
 
-                 name, crit = self._merge_into_criterion(r, parent=None)
 
-             except RequirementsConflicted as e:
 
-                 raise ResolutionImpossible(e.criterion.information)
 
-             self.state.criteria[name] = crit
 
-         self._r.starting()
 
-         for round_index in range(max_rounds):
 
-             self._r.starting_round(round_index)
 
-             self._push_new_state()
 
-             curr = self.state
 
-             unsatisfied_criterion_items = [
 
-                 item
 
-                 for item in self.state.criteria.items()
 
-                 if not self._is_current_pin_satisfying(*item)
 
-             ]
 
-             # All criteria are accounted for. Nothing more to pin, we are done!
 
-             if not unsatisfied_criterion_items:
 
-                 del self._states[-1]
 
-                 self._r.ending(curr)
 
-                 return self.state
 
-             # Choose the most preferred unpinned criterion to try.
 
-             name, criterion = min(
 
-                 unsatisfied_criterion_items,
 
-                 key=self._get_criterion_item_preference,
 
-             )
 
-             failure_causes = self._attempt_to_pin_criterion(name, criterion)
 
-             # Backtrack if pinning fails.
 
-             if failure_causes:
 
-                 result = self._backtrack()
 
-                 if not result:
 
-                     causes = [
 
-                         i for crit in failure_causes for i in crit.information
 
-                     ]
 
-                     raise ResolutionImpossible(causes)
 
-             self._r.ending_round(round_index, curr)
 
-         raise ResolutionTooDeep(max_rounds)
 
- def _has_route_to_root(criteria, key, all_keys, connected):
 
-     if key in connected:
 
-         return True
 
-     if key not in criteria:
 
-         return False
 
-     for p in criteria[key].iter_parent():
 
-         try:
 
-             pkey = all_keys[id(p)]
 
-         except KeyError:
 
-             continue
 
-         if pkey in connected:
 
-             connected.add(key)
 
-             return True
 
-         if _has_route_to_root(criteria, pkey, all_keys, connected):
 
-             connected.add(key)
 
-             return True
 
-     return False
 
- Result = collections.namedtuple("Result", "mapping graph criteria")
 
- def _build_result(state):
 
-     mapping = state.mapping
 
-     all_keys = {id(v): k for k, v in mapping.items()}
 
-     all_keys[id(None)] = None
 
-     graph = DirectedGraph()
 
-     graph.add(None)  # Sentinel as root dependencies' parent.
 
-     connected = {None}
 
-     for key, criterion in state.criteria.items():
 
-         if not _has_route_to_root(state.criteria, key, all_keys, connected):
 
-             continue
 
-         if key not in graph:
 
-             graph.add(key)
 
-         for p in criterion.iter_parent():
 
-             try:
 
-                 pkey = all_keys[id(p)]
 
-             except KeyError:
 
-                 continue
 
-             if pkey not in graph:
 
-                 graph.add(pkey)
 
-             graph.connect(pkey, key)
 
-     return Result(
 
-         mapping={k: v for k, v in mapping.items() if k in connected},
 
-         graph=graph,
 
-         criteria=state.criteria,
 
-     )
 
- class Resolver(AbstractResolver):
 
-     """The thing that performs the actual resolution work.
 
-     """
 
-     base_exception = ResolverException
 
-     def resolve(self, requirements, max_rounds=100):
 
-         """Take a collection of constraints, spit out the resolution result.
 
-         The return value is a representation to the final resolution result. It
 
-         is a tuple subclass with three public members:
 
-         * `mapping`: A dict of resolved candidates. Each key is an identifier
 
-             of a requirement (as returned by the provider's `identify` method),
 
-             and the value is the resolved candidate.
 
-         * `graph`: A `DirectedGraph` instance representing the dependency tree.
 
-             The vertices are keys of `mapping`, and each edge represents *why*
 
-             a particular package is included. A special vertex `None` is
 
-             included to represent parents of user-supplied requirements.
 
-         * `criteria`: A dict of "criteria" that hold detailed information on
 
-             how edges in the graph are derived. Each key is an identifier of a
 
-             requirement, and the value is a `Criterion` instance.
 
-         The following exceptions may be raised if a resolution cannot be found:
 
-         * `ResolutionImpossible`: A resolution cannot be found for the given
 
-             combination of requirements. The `causes` attribute of the
 
-             exception is a list of (requirement, parent), giving the
 
-             requirements that could not be satisfied.
 
-         * `ResolutionTooDeep`: The dependency tree is too deeply nested and
 
-             the resolver gave up. This is usually caused by a circular
 
-             dependency, but you can try to resolve this by increasing the
 
-             `max_rounds` argument.
 
-         """
 
-         resolution = Resolution(self.provider, self.reporter)
 
-         state = resolution.resolve(requirements, max_rounds=max_rounds)
 
-         return _build_result(state)
 
 
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