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- """Calculation of the least upper bound types (joins)."""
- from __future__ import annotations
- from typing import overload
- import mypy.typeops
- from mypy.maptype import map_instance_to_supertype
- from mypy.nodes import CONTRAVARIANT, COVARIANT, INVARIANT
- from mypy.state import state
- from mypy.subtypes import (
- SubtypeContext,
- find_member,
- is_equivalent,
- is_proper_subtype,
- is_protocol_implementation,
- is_subtype,
- )
- from mypy.types import (
- AnyType,
- CallableType,
- DeletedType,
- ErasedType,
- FunctionLike,
- Instance,
- LiteralType,
- NoneType,
- Overloaded,
- Parameters,
- ParamSpecType,
- PartialType,
- ProperType,
- TupleType,
- Type,
- TypeAliasType,
- TypedDictType,
- TypeOfAny,
- TypeType,
- TypeVarTupleType,
- TypeVarType,
- TypeVisitor,
- UnboundType,
- UninhabitedType,
- UnionType,
- UnpackType,
- get_proper_type,
- get_proper_types,
- )
- class InstanceJoiner:
- def __init__(self) -> None:
- self.seen_instances: list[tuple[Instance, Instance]] = []
- def join_instances(self, t: Instance, s: Instance) -> ProperType:
- if (t, s) in self.seen_instances or (s, t) in self.seen_instances:
- return object_from_instance(t)
- self.seen_instances.append((t, s))
- # Calculate the join of two instance types
- if t.type == s.type:
- # Simplest case: join two types with the same base type (but
- # potentially different arguments).
- # Combine type arguments.
- args: list[Type] = []
- # N.B: We use zip instead of indexing because the lengths might have
- # mismatches during daemon reprocessing.
- for ta, sa, type_var in zip(t.args, s.args, t.type.defn.type_vars):
- ta_proper = get_proper_type(ta)
- sa_proper = get_proper_type(sa)
- new_type: Type | None = None
- if isinstance(ta_proper, AnyType):
- new_type = AnyType(TypeOfAny.from_another_any, ta_proper)
- elif isinstance(sa_proper, AnyType):
- new_type = AnyType(TypeOfAny.from_another_any, sa_proper)
- elif isinstance(type_var, TypeVarType):
- if type_var.variance == COVARIANT:
- new_type = join_types(ta, sa, self)
- if len(type_var.values) != 0 and new_type not in type_var.values:
- self.seen_instances.pop()
- return object_from_instance(t)
- if not is_subtype(new_type, type_var.upper_bound):
- self.seen_instances.pop()
- return object_from_instance(t)
- # TODO: contravariant case should use meet but pass seen instances as
- # an argument to keep track of recursive checks.
- elif type_var.variance in (INVARIANT, CONTRAVARIANT):
- if not is_equivalent(ta, sa):
- self.seen_instances.pop()
- return object_from_instance(t)
- # If the types are different but equivalent, then an Any is involved
- # so using a join in the contravariant case is also OK.
- new_type = join_types(ta, sa, self)
- else:
- # ParamSpec type variables behave the same, independent of variance
- if not is_equivalent(ta, sa):
- return get_proper_type(type_var.upper_bound)
- new_type = join_types(ta, sa, self)
- assert new_type is not None
- args.append(new_type)
- result: ProperType = Instance(t.type, args)
- elif t.type.bases and is_proper_subtype(
- t, s, subtype_context=SubtypeContext(ignore_type_params=True)
- ):
- result = self.join_instances_via_supertype(t, s)
- else:
- # Now t is not a subtype of s, and t != s. Now s could be a subtype
- # of t; alternatively, we need to find a common supertype. This works
- # in of the both cases.
- result = self.join_instances_via_supertype(s, t)
- self.seen_instances.pop()
- return result
- def join_instances_via_supertype(self, t: Instance, s: Instance) -> ProperType:
- # Give preference to joins via duck typing relationship, so that
- # join(int, float) == float, for example.
- for p in t.type._promote:
- if is_subtype(p, s):
- return join_types(p, s, self)
- for p in s.type._promote:
- if is_subtype(p, t):
- return join_types(t, p, self)
- # Compute the "best" supertype of t when joined with s.
- # The definition of "best" may evolve; for now it is the one with
- # the longest MRO. Ties are broken by using the earlier base.
- best: ProperType | None = None
- for base in t.type.bases:
- mapped = map_instance_to_supertype(t, base.type)
- res = self.join_instances(mapped, s)
- if best is None or is_better(res, best):
- best = res
- assert best is not None
- for promote in t.type._promote:
- if isinstance(promote, Instance):
- res = self.join_instances(promote, s)
- if is_better(res, best):
- best = res
- return best
- def join_simple(declaration: Type | None, s: Type, t: Type) -> ProperType:
- """Return a simple least upper bound given the declared type.
- This function should be only used by binder, and should not recurse.
- For all other uses, use `join_types()`.
- """
- declaration = get_proper_type(declaration)
- s = get_proper_type(s)
- t = get_proper_type(t)
- if (s.can_be_true, s.can_be_false) != (t.can_be_true, t.can_be_false):
- # if types are restricted in different ways, use the more general versions
- s = mypy.typeops.true_or_false(s)
- t = mypy.typeops.true_or_false(t)
- if isinstance(s, AnyType):
- return s
- if isinstance(s, ErasedType):
- return t
- if is_proper_subtype(s, t, ignore_promotions=True):
- return t
- if is_proper_subtype(t, s, ignore_promotions=True):
- return s
- if isinstance(declaration, UnionType):
- return mypy.typeops.make_simplified_union([s, t])
- if isinstance(s, NoneType) and not isinstance(t, NoneType):
- s, t = t, s
- if isinstance(s, UninhabitedType) and not isinstance(t, UninhabitedType):
- s, t = t, s
- # Meets/joins require callable type normalization.
- s, t = normalize_callables(s, t)
- if isinstance(s, UnionType) and not isinstance(t, UnionType):
- s, t = t, s
- value = t.accept(TypeJoinVisitor(s))
- if declaration is None or is_subtype(value, declaration):
- return value
- return declaration
- def trivial_join(s: Type, t: Type) -> Type:
- """Return one of types (expanded) if it is a supertype of other, otherwise top type."""
- if is_subtype(s, t):
- return t
- elif is_subtype(t, s):
- return s
- else:
- return object_or_any_from_type(get_proper_type(t))
- @overload
- def join_types(
- s: ProperType, t: ProperType, instance_joiner: InstanceJoiner | None = None
- ) -> ProperType:
- ...
- @overload
- def join_types(s: Type, t: Type, instance_joiner: InstanceJoiner | None = None) -> Type:
- ...
- def join_types(s: Type, t: Type, instance_joiner: InstanceJoiner | None = None) -> Type:
- """Return the least upper bound of s and t.
- For example, the join of 'int' and 'object' is 'object'.
- """
- if mypy.typeops.is_recursive_pair(s, t):
- # This case can trigger an infinite recursion, general support for this will be
- # tricky so we use a trivial join (like for protocols).
- return trivial_join(s, t)
- s = get_proper_type(s)
- t = get_proper_type(t)
- if (s.can_be_true, s.can_be_false) != (t.can_be_true, t.can_be_false):
- # if types are restricted in different ways, use the more general versions
- s = mypy.typeops.true_or_false(s)
- t = mypy.typeops.true_or_false(t)
- if isinstance(s, UnionType) and not isinstance(t, UnionType):
- s, t = t, s
- if isinstance(s, AnyType):
- return s
- if isinstance(s, ErasedType):
- return t
- if isinstance(s, NoneType) and not isinstance(t, NoneType):
- s, t = t, s
- if isinstance(s, UninhabitedType) and not isinstance(t, UninhabitedType):
- s, t = t, s
- # Meets/joins require callable type normalization.
- s, t = normalize_callables(s, t)
- # Use a visitor to handle non-trivial cases.
- return t.accept(TypeJoinVisitor(s, instance_joiner))
- class TypeJoinVisitor(TypeVisitor[ProperType]):
- """Implementation of the least upper bound algorithm.
- Attributes:
- s: The other (left) type operand.
- """
- def __init__(self, s: ProperType, instance_joiner: InstanceJoiner | None = None) -> None:
- self.s = s
- self.instance_joiner = instance_joiner
- def visit_unbound_type(self, t: UnboundType) -> ProperType:
- return AnyType(TypeOfAny.special_form)
- def visit_union_type(self, t: UnionType) -> ProperType:
- if is_proper_subtype(self.s, t):
- return t
- else:
- return mypy.typeops.make_simplified_union([self.s, t])
- def visit_any(self, t: AnyType) -> ProperType:
- return t
- def visit_none_type(self, t: NoneType) -> ProperType:
- if state.strict_optional:
- if isinstance(self.s, (NoneType, UninhabitedType)):
- return t
- elif isinstance(self.s, UnboundType):
- return AnyType(TypeOfAny.special_form)
- else:
- return mypy.typeops.make_simplified_union([self.s, t])
- else:
- return self.s
- def visit_uninhabited_type(self, t: UninhabitedType) -> ProperType:
- return self.s
- def visit_deleted_type(self, t: DeletedType) -> ProperType:
- return self.s
- def visit_erased_type(self, t: ErasedType) -> ProperType:
- return self.s
- def visit_type_var(self, t: TypeVarType) -> ProperType:
- if isinstance(self.s, TypeVarType) and self.s.id == t.id:
- return self.s
- else:
- return self.default(self.s)
- def visit_param_spec(self, t: ParamSpecType) -> ProperType:
- if self.s == t:
- return t
- return self.default(self.s)
- def visit_type_var_tuple(self, t: TypeVarTupleType) -> ProperType:
- if self.s == t:
- return t
- return self.default(self.s)
- def visit_unpack_type(self, t: UnpackType) -> UnpackType:
- raise NotImplementedError
- def visit_parameters(self, t: Parameters) -> ProperType:
- if self.s == t:
- return t
- else:
- return self.default(self.s)
- def visit_instance(self, t: Instance) -> ProperType:
- if isinstance(self.s, Instance):
- if self.instance_joiner is None:
- self.instance_joiner = InstanceJoiner()
- nominal = self.instance_joiner.join_instances(t, self.s)
- structural: Instance | None = None
- if t.type.is_protocol and is_protocol_implementation(self.s, t):
- structural = t
- elif self.s.type.is_protocol and is_protocol_implementation(t, self.s):
- structural = self.s
- # Structural join is preferred in the case where we have found both
- # structural and nominal and they have same MRO length (see two comments
- # in join_instances_via_supertype). Otherwise, just return the nominal join.
- if not structural or is_better(nominal, structural):
- return nominal
- return structural
- elif isinstance(self.s, FunctionLike):
- if t.type.is_protocol:
- call = unpack_callback_protocol(t)
- if call:
- return join_types(call, self.s)
- return join_types(t, self.s.fallback)
- elif isinstance(self.s, TypeType):
- return join_types(t, self.s)
- elif isinstance(self.s, TypedDictType):
- return join_types(t, self.s)
- elif isinstance(self.s, TupleType):
- return join_types(t, self.s)
- elif isinstance(self.s, LiteralType):
- return join_types(t, self.s)
- else:
- return self.default(self.s)
- def visit_callable_type(self, t: CallableType) -> ProperType:
- if isinstance(self.s, CallableType) and is_similar_callables(t, self.s):
- if is_equivalent(t, self.s):
- return combine_similar_callables(t, self.s)
- result = join_similar_callables(t, self.s)
- # We set the from_type_type flag to suppress error when a collection of
- # concrete class objects gets inferred as their common abstract superclass.
- if not (
- (t.is_type_obj() and t.type_object().is_abstract)
- or (self.s.is_type_obj() and self.s.type_object().is_abstract)
- ):
- result.from_type_type = True
- if any(
- isinstance(tp, (NoneType, UninhabitedType))
- for tp in get_proper_types(result.arg_types)
- ):
- # We don't want to return unusable Callable, attempt fallback instead.
- return join_types(t.fallback, self.s)
- return result
- elif isinstance(self.s, Overloaded):
- # Switch the order of arguments to that we'll get to visit_overloaded.
- return join_types(t, self.s)
- elif isinstance(self.s, Instance) and self.s.type.is_protocol:
- call = unpack_callback_protocol(self.s)
- if call:
- return join_types(t, call)
- return join_types(t.fallback, self.s)
- def visit_overloaded(self, t: Overloaded) -> ProperType:
- # This is more complex than most other cases. Here are some
- # examples that illustrate how this works.
- #
- # First let's define a concise notation:
- # - Cn are callable types (for n in 1, 2, ...)
- # - Ov(C1, C2, ...) is an overloaded type with items C1, C2, ...
- # - Callable[[T, ...], S] is written as [T, ...] -> S.
- #
- # We want some basic properties to hold (assume Cn are all
- # unrelated via Any-similarity):
- #
- # join(Ov(C1, C2), C1) == C1
- # join(Ov(C1, C2), Ov(C1, C2)) == Ov(C1, C2)
- # join(Ov(C1, C2), Ov(C1, C3)) == C1
- # join(Ov(C2, C2), C3) == join of fallback types
- #
- # The presence of Any types makes things more interesting. The join is the
- # most general type we can get with respect to Any:
- #
- # join(Ov([int] -> int, [str] -> str), [Any] -> str) == Any -> str
- #
- # We could use a simplification step that removes redundancies, but that's not
- # implemented right now. Consider this example, where we get a redundancy:
- #
- # join(Ov([int, Any] -> Any, [str, Any] -> Any), [Any, int] -> Any) ==
- # Ov([Any, int] -> Any, [Any, int] -> Any)
- #
- # TODO: Consider more cases of callable subtyping.
- result: list[CallableType] = []
- s = self.s
- if isinstance(s, FunctionLike):
- # The interesting case where both types are function types.
- for t_item in t.items:
- for s_item in s.items:
- if is_similar_callables(t_item, s_item):
- if is_equivalent(t_item, s_item):
- result.append(combine_similar_callables(t_item, s_item))
- elif is_subtype(t_item, s_item):
- result.append(s_item)
- if result:
- # TODO: Simplify redundancies from the result.
- if len(result) == 1:
- return result[0]
- else:
- return Overloaded(result)
- return join_types(t.fallback, s.fallback)
- elif isinstance(s, Instance) and s.type.is_protocol:
- call = unpack_callback_protocol(s)
- if call:
- return join_types(t, call)
- return join_types(t.fallback, s)
- def visit_tuple_type(self, t: TupleType) -> ProperType:
- # When given two fixed-length tuples:
- # * If they have the same length, join their subtypes item-wise:
- # Tuple[int, bool] + Tuple[bool, bool] becomes Tuple[int, bool]
- # * If lengths do not match, return a variadic tuple:
- # Tuple[bool, int] + Tuple[bool] becomes Tuple[int, ...]
- #
- # Otherwise, `t` is a fixed-length tuple but `self.s` is NOT:
- # * Joining with a variadic tuple returns variadic tuple:
- # Tuple[int, bool] + Tuple[bool, ...] becomes Tuple[int, ...]
- # * Joining with any Sequence also returns a Sequence:
- # Tuple[int, bool] + List[bool] becomes Sequence[int]
- if isinstance(self.s, TupleType) and self.s.length() == t.length():
- if self.instance_joiner is None:
- self.instance_joiner = InstanceJoiner()
- fallback = self.instance_joiner.join_instances(
- mypy.typeops.tuple_fallback(self.s), mypy.typeops.tuple_fallback(t)
- )
- assert isinstance(fallback, Instance)
- if self.s.length() == t.length():
- items: list[Type] = []
- for i in range(t.length()):
- items.append(join_types(t.items[i], self.s.items[i]))
- return TupleType(items, fallback)
- else:
- return fallback
- else:
- return join_types(self.s, mypy.typeops.tuple_fallback(t))
- def visit_typeddict_type(self, t: TypedDictType) -> ProperType:
- if isinstance(self.s, TypedDictType):
- items = {
- item_name: s_item_type
- for (item_name, s_item_type, t_item_type) in self.s.zip(t)
- if (
- is_equivalent(s_item_type, t_item_type)
- and (item_name in t.required_keys) == (item_name in self.s.required_keys)
- )
- }
- fallback = self.s.create_anonymous_fallback()
- # We need to filter by items.keys() since some required keys present in both t and
- # self.s might be missing from the join if the types are incompatible.
- required_keys = set(items.keys()) & t.required_keys & self.s.required_keys
- return TypedDictType(items, required_keys, fallback)
- elif isinstance(self.s, Instance):
- return join_types(self.s, t.fallback)
- else:
- return self.default(self.s)
- def visit_literal_type(self, t: LiteralType) -> ProperType:
- if isinstance(self.s, LiteralType):
- if t == self.s:
- return t
- if self.s.fallback.type.is_enum and t.fallback.type.is_enum:
- return mypy.typeops.make_simplified_union([self.s, t])
- return join_types(self.s.fallback, t.fallback)
- else:
- return join_types(self.s, t.fallback)
- def visit_partial_type(self, t: PartialType) -> ProperType:
- # We only have partial information so we can't decide the join result. We should
- # never get here.
- assert False, "Internal error"
- def visit_type_type(self, t: TypeType) -> ProperType:
- if isinstance(self.s, TypeType):
- return TypeType.make_normalized(join_types(t.item, self.s.item), line=t.line)
- elif isinstance(self.s, Instance) and self.s.type.fullname == "builtins.type":
- return self.s
- else:
- return self.default(self.s)
- def visit_type_alias_type(self, t: TypeAliasType) -> ProperType:
- assert False, f"This should be never called, got {t}"
- def default(self, typ: Type) -> ProperType:
- typ = get_proper_type(typ)
- if isinstance(typ, Instance):
- return object_from_instance(typ)
- elif isinstance(typ, UnboundType):
- return AnyType(TypeOfAny.special_form)
- elif isinstance(typ, TupleType):
- return self.default(mypy.typeops.tuple_fallback(typ))
- elif isinstance(typ, TypedDictType):
- return self.default(typ.fallback)
- elif isinstance(typ, FunctionLike):
- return self.default(typ.fallback)
- elif isinstance(typ, TypeVarType):
- return self.default(typ.upper_bound)
- elif isinstance(typ, ParamSpecType):
- return self.default(typ.upper_bound)
- else:
- return AnyType(TypeOfAny.special_form)
- def is_better(t: Type, s: Type) -> bool:
- # Given two possible results from join_instances_via_supertype(),
- # indicate whether t is the better one.
- t = get_proper_type(t)
- s = get_proper_type(s)
- if isinstance(t, Instance):
- if not isinstance(s, Instance):
- return True
- # Use len(mro) as a proxy for the better choice.
- if len(t.type.mro) > len(s.type.mro):
- return True
- return False
- def normalize_callables(s: ProperType, t: ProperType) -> tuple[ProperType, ProperType]:
- if isinstance(s, (CallableType, Overloaded)):
- s = s.with_unpacked_kwargs()
- if isinstance(t, (CallableType, Overloaded)):
- t = t.with_unpacked_kwargs()
- return s, t
- def is_similar_callables(t: CallableType, s: CallableType) -> bool:
- """Return True if t and s have identical numbers of
- arguments, default arguments and varargs.
- """
- return (
- len(t.arg_types) == len(s.arg_types)
- and t.min_args == s.min_args
- and t.is_var_arg == s.is_var_arg
- )
- def join_similar_callables(t: CallableType, s: CallableType) -> CallableType:
- from mypy.meet import meet_types
- arg_types: list[Type] = []
- for i in range(len(t.arg_types)):
- arg_types.append(meet_types(t.arg_types[i], s.arg_types[i]))
- # TODO in combine_similar_callables also applies here (names and kinds; user metaclasses)
- # The fallback type can be either 'function', 'type', or some user-provided metaclass.
- # The result should always use 'function' as a fallback if either operands are using it.
- if t.fallback.type.fullname == "builtins.function":
- fallback = t.fallback
- else:
- fallback = s.fallback
- return t.copy_modified(
- arg_types=arg_types,
- arg_names=combine_arg_names(t, s),
- ret_type=join_types(t.ret_type, s.ret_type),
- fallback=fallback,
- name=None,
- )
- def combine_similar_callables(t: CallableType, s: CallableType) -> CallableType:
- arg_types: list[Type] = []
- for i in range(len(t.arg_types)):
- arg_types.append(join_types(t.arg_types[i], s.arg_types[i]))
- # TODO kinds and argument names
- # TODO what should happen if one fallback is 'type' and the other is a user-provided metaclass?
- # The fallback type can be either 'function', 'type', or some user-provided metaclass.
- # The result should always use 'function' as a fallback if either operands are using it.
- if t.fallback.type.fullname == "builtins.function":
- fallback = t.fallback
- else:
- fallback = s.fallback
- return t.copy_modified(
- arg_types=arg_types,
- arg_names=combine_arg_names(t, s),
- ret_type=join_types(t.ret_type, s.ret_type),
- fallback=fallback,
- name=None,
- )
- def combine_arg_names(t: CallableType, s: CallableType) -> list[str | None]:
- """Produces a list of argument names compatible with both callables.
- For example, suppose 't' and 's' have the following signatures:
- - t: (a: int, b: str, X: str) -> None
- - s: (a: int, b: str, Y: str) -> None
- This function would return ["a", "b", None]. This information
- is then used above to compute the join of t and s, which results
- in a signature of (a: int, b: str, str) -> None.
- Note that the third argument's name is omitted and 't' and 's'
- are both valid subtypes of this inferred signature.
- Precondition: is_similar_types(t, s) is true.
- """
- num_args = len(t.arg_types)
- new_names = []
- for i in range(num_args):
- t_name = t.arg_names[i]
- s_name = s.arg_names[i]
- if t_name == s_name or t.arg_kinds[i].is_named() or s.arg_kinds[i].is_named():
- new_names.append(t_name)
- else:
- new_names.append(None)
- return new_names
- def object_from_instance(instance: Instance) -> Instance:
- """Construct the type 'builtins.object' from an instance type."""
- # Use the fact that 'object' is always the last class in the mro.
- res = Instance(instance.type.mro[-1], [])
- return res
- def object_or_any_from_type(typ: ProperType) -> ProperType:
- # Similar to object_from_instance() but tries hard for all types.
- # TODO: find a better way to get object, or make this more reliable.
- if isinstance(typ, Instance):
- return object_from_instance(typ)
- elif isinstance(typ, (CallableType, TypedDictType, LiteralType)):
- return object_from_instance(typ.fallback)
- elif isinstance(typ, TupleType):
- return object_from_instance(typ.partial_fallback)
- elif isinstance(typ, TypeType):
- return object_or_any_from_type(typ.item)
- elif isinstance(typ, TypeVarType) and isinstance(typ.upper_bound, ProperType):
- return object_or_any_from_type(typ.upper_bound)
- elif isinstance(typ, UnionType):
- for item in typ.items:
- if isinstance(item, ProperType):
- candidate = object_or_any_from_type(item)
- if isinstance(candidate, Instance):
- return candidate
- return AnyType(TypeOfAny.implementation_artifact)
- def join_type_list(types: list[Type]) -> Type:
- if not types:
- # This is a little arbitrary but reasonable. Any empty tuple should be compatible
- # with all variable length tuples, and this makes it possible.
- return UninhabitedType()
- joined = types[0]
- for t in types[1:]:
- joined = join_types(joined, t)
- return joined
- def unpack_callback_protocol(t: Instance) -> ProperType | None:
- assert t.type.is_protocol
- if t.type.protocol_members == ["__call__"]:
- return get_proper_type(find_member("__call__", t, t, is_operator=True))
- return None
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