[ty] Create a specialization from a constraint set (#21414)

This patch lets us create specializations from a constraint set. The
constraint encodes the restrictions on which types each typevar can
specialize to. Given a generic context and a constraint set, we iterate
through all of the generic context's typevars. For each typevar, we
abstract the constraint set so that it only mentions the typevar in
question (propagating derived facts if needed). We then find the "best
representative type" for the typevar given the abstracted constraint
set.

When considering the BDD structure of the abstracted constraint set,
each path from the BDD root to the `true` terminal represents one way
that the constraint set can be satisfied. (This is also one of the
clauses in the DNF representation of the constraint set's boolean
formula.) Each of those paths is the conjunction of the individual
constraints of each internal node that we traverse as we walk that path,
giving a single lower/upper bound for the path. We use the upper bound
as the "best" (i.e. "closest to `object`") type for that path.

If there are multiple paths in the BDD, they technically represent
independent possible specializations. If there's a single specialization
that satisfies all of them, we will return that as the specialization.
If not, then the constraint set is ambiguous. (This happens most often
with constrained typevars.) We could in the future turn _each_ of the
paths into separate specializations, but it's not clear what we would do
with that, so instead we just report the ambiguity as a specialization
failure.
This commit is contained in:
Douglas Creager
2025-11-19 14:20:33 -05:00
committed by GitHub
parent 68ebd5132c
commit 97935518e9
15 changed files with 964 additions and 170 deletions

View File

@@ -503,9 +503,11 @@ class C[T]():
def f(self: Self):
def b(x: Self):
reveal_type(x) # revealed: Self@f
reveal_type(generic_context(b)) # revealed: None
# revealed: None
reveal_type(generic_context(b))
reveal_type(generic_context(C.f)) # revealed: tuple[Self@f]
# revealed: ty_extensions.GenericContext[Self@f]
reveal_type(generic_context(C.f))
```
Even if the `Self` annotation appears first in the nested function, it is the method that binds
@@ -519,9 +521,11 @@ class C:
def f(self: "C"):
def b(x: Self):
reveal_type(x) # revealed: Self@f
reveal_type(generic_context(b)) # revealed: None
# revealed: None
reveal_type(generic_context(b))
reveal_type(generic_context(C.f)) # revealed: None
# revealed: None
reveal_type(generic_context(C.f))
```
## Non-positional first parameters

View File

@@ -21,14 +21,14 @@ class TypeVarAndParamSpec(Generic[P, T]): ...
class SingleTypeVarTuple(Generic[Unpack[Ts]]): ...
class TypeVarAndTypeVarTuple(Generic[T, Unpack[Ts]]): ...
# revealed: tuple[T@SingleTypevar]
# revealed: ty_extensions.GenericContext[T@SingleTypevar]
reveal_type(generic_context(SingleTypevar))
# revealed: tuple[T@MultipleTypevars, S@MultipleTypevars]
# revealed: ty_extensions.GenericContext[T@MultipleTypevars, S@MultipleTypevars]
reveal_type(generic_context(MultipleTypevars))
# revealed: tuple[P@SingleParamSpec]
# revealed: ty_extensions.GenericContext[P@SingleParamSpec]
reveal_type(generic_context(SingleParamSpec))
# revealed: tuple[P@TypeVarAndParamSpec, T@TypeVarAndParamSpec]
# revealed: ty_extensions.GenericContext[P@TypeVarAndParamSpec, T@TypeVarAndParamSpec]
reveal_type(generic_context(TypeVarAndParamSpec))
# TODO: support `TypeVarTuple` properly (these should not reveal `None`)
@@ -66,9 +66,9 @@ class InheritedGeneric(MultipleTypevars[T, S]): ...
class InheritedGenericPartiallySpecialized(MultipleTypevars[T, int]): ...
class InheritedGenericFullySpecialized(MultipleTypevars[str, int]): ...
# revealed: tuple[T@InheritedGeneric, S@InheritedGeneric]
# revealed: ty_extensions.GenericContext[T@InheritedGeneric, S@InheritedGeneric]
reveal_type(generic_context(InheritedGeneric))
# revealed: tuple[T@InheritedGenericPartiallySpecialized]
# revealed: ty_extensions.GenericContext[T@InheritedGenericPartiallySpecialized]
reveal_type(generic_context(InheritedGenericPartiallySpecialized))
# revealed: None
reveal_type(generic_context(InheritedGenericFullySpecialized))
@@ -90,7 +90,7 @@ class OuterClass(Generic[T]):
# revealed: None
reveal_type(generic_context(InnerClassInMethod))
# revealed: tuple[T@OuterClass]
# revealed: ty_extensions.GenericContext[T@OuterClass]
reveal_type(generic_context(OuterClass))
```
@@ -118,11 +118,11 @@ class ExplicitInheritedGenericPartiallySpecializedExtraTypevar(MultipleTypevars[
# error: [invalid-generic-class] "`Generic` base class must include all type variables used in other base classes"
class ExplicitInheritedGenericPartiallySpecializedMissingTypevar(MultipleTypevars[T, int], Generic[S]): ...
# revealed: tuple[T@ExplicitInheritedGeneric, S@ExplicitInheritedGeneric]
# revealed: ty_extensions.GenericContext[T@ExplicitInheritedGeneric, S@ExplicitInheritedGeneric]
reveal_type(generic_context(ExplicitInheritedGeneric))
# revealed: tuple[T@ExplicitInheritedGenericPartiallySpecialized]
# revealed: ty_extensions.GenericContext[T@ExplicitInheritedGenericPartiallySpecialized]
reveal_type(generic_context(ExplicitInheritedGenericPartiallySpecialized))
# revealed: tuple[T@ExplicitInheritedGenericPartiallySpecializedExtraTypevar, S@ExplicitInheritedGenericPartiallySpecializedExtraTypevar]
# revealed: ty_extensions.GenericContext[T@ExplicitInheritedGenericPartiallySpecializedExtraTypevar, S@ExplicitInheritedGenericPartiallySpecializedExtraTypevar]
reveal_type(generic_context(ExplicitInheritedGenericPartiallySpecializedExtraTypevar))
```
@@ -594,18 +594,27 @@ class C(Generic[T]):
def generic_method(self, t: T, u: U) -> U:
return u
reveal_type(generic_context(C)) # revealed: tuple[T@C]
reveal_type(generic_context(C.method)) # revealed: tuple[Self@method]
reveal_type(generic_context(C.generic_method)) # revealed: tuple[Self@generic_method, U@generic_method]
reveal_type(generic_context(C[int])) # revealed: None
reveal_type(generic_context(C[int].method)) # revealed: tuple[Self@method]
reveal_type(generic_context(C[int].generic_method)) # revealed: tuple[Self@generic_method, U@generic_method]
# revealed: ty_extensions.GenericContext[T@C]
reveal_type(generic_context(C))
# revealed: ty_extensions.GenericContext[Self@method]
reveal_type(generic_context(C.method))
# revealed: ty_extensions.GenericContext[Self@generic_method, U@generic_method]
reveal_type(generic_context(C.generic_method))
# revealed: None
reveal_type(generic_context(C[int]))
# revealed: ty_extensions.GenericContext[Self@method]
reveal_type(generic_context(C[int].method))
# revealed: ty_extensions.GenericContext[Self@generic_method, U@generic_method]
reveal_type(generic_context(C[int].generic_method))
c: C[int] = C[int]()
reveal_type(c.generic_method(1, "string")) # revealed: Literal["string"]
reveal_type(generic_context(c)) # revealed: None
reveal_type(generic_context(c.method)) # revealed: tuple[Self@method]
reveal_type(generic_context(c.generic_method)) # revealed: tuple[Self@generic_method, U@generic_method]
# revealed: None
reveal_type(generic_context(c))
# revealed: ty_extensions.GenericContext[Self@method]
reveal_type(generic_context(c.method))
# revealed: ty_extensions.GenericContext[Self@generic_method, U@generic_method]
reveal_type(generic_context(c.generic_method))
```
## Specializations propagate

View File

@@ -20,17 +20,21 @@ type TypeVarAndParamSpec[T, **P] = ...
type SingleTypeVarTuple[*Ts] = ...
type TypeVarAndTypeVarTuple[T, *Ts] = ...
# revealed: tuple[T@SingleTypevar]
# revealed: ty_extensions.GenericContext[T@SingleTypevar]
reveal_type(generic_context(SingleTypevar))
# revealed: tuple[T@MultipleTypevars, S@MultipleTypevars]
# revealed: ty_extensions.GenericContext[T@MultipleTypevars, S@MultipleTypevars]
reveal_type(generic_context(MultipleTypevars))
# TODO: support `ParamSpec`/`TypeVarTuple` properly
# (these should include the `ParamSpec`s and `TypeVarTuple`s in their generic contexts)
reveal_type(generic_context(SingleParamSpec)) # revealed: tuple[()]
reveal_type(generic_context(TypeVarAndParamSpec)) # revealed: tuple[T@TypeVarAndParamSpec]
reveal_type(generic_context(SingleTypeVarTuple)) # revealed: tuple[()]
reveal_type(generic_context(TypeVarAndTypeVarTuple)) # revealed: tuple[T@TypeVarAndTypeVarTuple]
# revealed: ty_extensions.GenericContext[]
reveal_type(generic_context(SingleParamSpec))
# revealed: ty_extensions.GenericContext[T@TypeVarAndParamSpec]
reveal_type(generic_context(TypeVarAndParamSpec))
# revealed: ty_extensions.GenericContext[]
reveal_type(generic_context(SingleTypeVarTuple))
# revealed: ty_extensions.GenericContext[T@TypeVarAndTypeVarTuple]
reveal_type(generic_context(TypeVarAndTypeVarTuple))
```
You cannot use the same typevar more than once.

View File

@@ -20,17 +20,21 @@ class TypeVarAndParamSpec[T, **P]: ...
class SingleTypeVarTuple[*Ts]: ...
class TypeVarAndTypeVarTuple[T, *Ts]: ...
# revealed: tuple[T@SingleTypevar]
# revealed: ty_extensions.GenericContext[T@SingleTypevar]
reveal_type(generic_context(SingleTypevar))
# revealed: tuple[T@MultipleTypevars, S@MultipleTypevars]
# revealed: ty_extensions.GenericContext[T@MultipleTypevars, S@MultipleTypevars]
reveal_type(generic_context(MultipleTypevars))
# TODO: support `ParamSpec`/`TypeVarTuple` properly
# (these should include the `ParamSpec`s and `TypeVarTuple`s in their generic contexts)
reveal_type(generic_context(SingleParamSpec)) # revealed: tuple[()]
reveal_type(generic_context(TypeVarAndParamSpec)) # revealed: tuple[T@TypeVarAndParamSpec]
reveal_type(generic_context(SingleTypeVarTuple)) # revealed: tuple[()]
reveal_type(generic_context(TypeVarAndTypeVarTuple)) # revealed: tuple[T@TypeVarAndTypeVarTuple]
# revealed: ty_extensions.GenericContext[]
reveal_type(generic_context(SingleParamSpec))
# revealed: ty_extensions.GenericContext[T@TypeVarAndParamSpec]
reveal_type(generic_context(TypeVarAndParamSpec))
# revealed: ty_extensions.GenericContext[]
reveal_type(generic_context(SingleTypeVarTuple))
# revealed: ty_extensions.GenericContext[T@TypeVarAndTypeVarTuple]
reveal_type(generic_context(TypeVarAndTypeVarTuple))
```
You cannot use the same typevar more than once.
@@ -49,9 +53,9 @@ class InheritedGeneric[U, V](MultipleTypevars[U, V]): ...
class InheritedGenericPartiallySpecialized[U](MultipleTypevars[U, int]): ...
class InheritedGenericFullySpecialized(MultipleTypevars[str, int]): ...
# revealed: tuple[U@InheritedGeneric, V@InheritedGeneric]
# revealed: ty_extensions.GenericContext[U@InheritedGeneric, V@InheritedGeneric]
reveal_type(generic_context(InheritedGeneric))
# revealed: tuple[U@InheritedGenericPartiallySpecialized]
# revealed: ty_extensions.GenericContext[U@InheritedGenericPartiallySpecialized]
reveal_type(generic_context(InheritedGenericPartiallySpecialized))
# revealed: None
reveal_type(generic_context(InheritedGenericFullySpecialized))
@@ -64,7 +68,8 @@ the inheriting class generic.
```py
class InheritedGenericDefaultSpecialization(MultipleTypevars): ...
reveal_type(generic_context(InheritedGenericDefaultSpecialization)) # revealed: None
# revealed: None
reveal_type(generic_context(InheritedGenericDefaultSpecialization))
```
You cannot use PEP-695 syntax and the legacy syntax in the same class definition.
@@ -512,18 +517,27 @@ class C[T]:
# TODO: error
def cannot_shadow_class_typevar[T](self, t: T): ...
reveal_type(generic_context(C)) # revealed: tuple[T@C]
reveal_type(generic_context(C.method)) # revealed: tuple[Self@method]
reveal_type(generic_context(C.generic_method)) # revealed: tuple[Self@generic_method, U@generic_method]
reveal_type(generic_context(C[int])) # revealed: None
reveal_type(generic_context(C[int].method)) # revealed: tuple[Self@method]
reveal_type(generic_context(C[int].generic_method)) # revealed: tuple[Self@generic_method, U@generic_method]
# revealed: ty_extensions.GenericContext[T@C]
reveal_type(generic_context(C))
# revealed: ty_extensions.GenericContext[Self@method]
reveal_type(generic_context(C.method))
# revealed: ty_extensions.GenericContext[Self@generic_method, U@generic_method]
reveal_type(generic_context(C.generic_method))
# revealed: None
reveal_type(generic_context(C[int]))
# revealed: ty_extensions.GenericContext[Self@method]
reveal_type(generic_context(C[int].method))
# revealed: ty_extensions.GenericContext[Self@generic_method, U@generic_method]
reveal_type(generic_context(C[int].generic_method))
c: C[int] = C[int]()
reveal_type(c.generic_method(1, "string")) # revealed: Literal["string"]
reveal_type(generic_context(c)) # revealed: None
reveal_type(generic_context(c.method)) # revealed: tuple[Self@method]
reveal_type(generic_context(c.generic_method)) # revealed: tuple[Self@generic_method, U@generic_method]
# revealed: None
reveal_type(generic_context(c))
# revealed: ty_extensions.GenericContext[Self@method]
reveal_type(generic_context(c.method))
# revealed: ty_extensions.GenericContext[Self@generic_method, U@generic_method]
reveal_type(generic_context(c.generic_method))
```
## Specializations propagate

View File

@@ -154,8 +154,10 @@ from ty_extensions import generic_context
legacy.m("string", None) # error: [invalid-argument-type]
reveal_type(legacy.m) # revealed: bound method Legacy[int].m[S](x: int, y: S@m) -> S@m
reveal_type(generic_context(Legacy)) # revealed: tuple[T@Legacy]
reveal_type(generic_context(legacy.m)) # revealed: tuple[Self@m, S@m]
# revealed: ty_extensions.GenericContext[T@Legacy]
reveal_type(generic_context(Legacy))
# revealed: ty_extensions.GenericContext[Self@m, S@m]
reveal_type(generic_context(legacy.m))
```
With PEP 695 syntax, it is clearer that the method uses a separate typevar:

View File

@@ -0,0 +1,305 @@
# Creating a specialization from a constraint set
```toml
[environment]
python-version = "3.12"
```
We create constraint sets to describe which types a set of typevars can specialize to. We have a
`specialize_constrained` method that creates a "best" specialization for a constraint set, which
lets us test this logic in isolation, without having to bring in the rest of the specialization
inference logic.
## Unbounded typevars
An unbounded typevar can specialize to any type. We will specialize the typevar to the least upper
bound of all of the types that satisfy the constraint set.
```py
from typing import Never
from ty_extensions import ConstraintSet, generic_context
# fmt: off
def unbounded[T]():
# revealed: ty_extensions.Specialization[T@unbounded = object]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@unbounded = int]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(Never, T, int)))
# revealed: ty_extensions.Specialization[T@unbounded = int]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(bool, T, int)))
# revealed: ty_extensions.Specialization[T@unbounded = bool]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(Never, T, int) & ConstraintSet.range(Never, T, bool)))
# revealed: ty_extensions.Specialization[T@unbounded = Never]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(Never, T, int) & ConstraintSet.range(Never, T, str)))
# revealed: None
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(bool, T, bool) & ConstraintSet.range(Never, T, str)))
# revealed: ty_extensions.Specialization[T@unbounded = int]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(Never, T, int) | ConstraintSet.range(Never, T, bool)))
# revealed: ty_extensions.Specialization[T@unbounded = Never]
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(Never, T, int) | ConstraintSet.range(Never, T, str)))
# revealed: None
reveal_type(generic_context(unbounded).specialize_constrained(ConstraintSet.range(bool, T, bool) | ConstraintSet.range(Never, T, str)))
```
## Typevar with an upper bound
If a typevar has an upper bound, then it must specialize to a type that is a subtype of that bound.
```py
from typing import final, Never
from ty_extensions import ConstraintSet, generic_context
class Super: ...
class Base(Super): ...
class Sub(Base): ...
@final
class Unrelated: ...
def bounded[T: Base]():
# revealed: ty_extensions.Specialization[T@bounded = Base]
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@bounded = Base]
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.range(Never, T, Super)))
# revealed: ty_extensions.Specialization[T@bounded = Base]
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.range(Never, T, Base)))
# revealed: ty_extensions.Specialization[T@bounded = Sub]
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.range(Never, T, Sub)))
# revealed: ty_extensions.Specialization[T@bounded = Never]
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.range(Never, T, Unrelated)))
# revealed: None
reveal_type(generic_context(bounded).specialize_constrained(ConstraintSet.range(Unrelated, T, Unrelated)))
```
If the upper bound is a gradual type, we are free to choose any materialization of the upper bound
that makes the test succeed.
```py
from typing import Any
def bounded_by_gradual[T: Any]():
# revealed: ty_extensions.Specialization[T@bounded_by_gradual = object]
reveal_type(generic_context(bounded_by_gradual).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(bounded_by_gradual).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@bounded_by_gradual = Base]
reveal_type(generic_context(bounded_by_gradual).specialize_constrained(ConstraintSet.range(Never, T, Base)))
# revealed: ty_extensions.Specialization[T@bounded_by_gradual = Unrelated]
reveal_type(generic_context(bounded_by_gradual).specialize_constrained(ConstraintSet.range(Never, T, Unrelated)))
def bounded_by_gradual_list[T: list[Any]]():
# revealed: ty_extensions.Specialization[T@bounded_by_gradual_list = Top[list[Any]]]
reveal_type(generic_context(bounded_by_gradual_list).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(bounded_by_gradual_list).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@bounded_by_gradual_list = list[Base]]
reveal_type(generic_context(bounded_by_gradual_list).specialize_constrained(ConstraintSet.range(Never, T, list[Base])))
# revealed: ty_extensions.Specialization[T@bounded_by_gradual_list = list[Unrelated]]
reveal_type(generic_context(bounded_by_gradual_list).specialize_constrained(ConstraintSet.range(Never, T, list[Unrelated])))
```
## Constrained typevar
If a typevar has constraints, then it must specialize to one of those specific types. (Not to a
subtype of one of those types!)
In particular, note that if a constraint set is satisfied by more than one of the typevar's
constraints (i.e., we have no reason to prefer one over the others), then we return `None` to
indicate an ambiguous result. We could, in theory, return _more than one_ specialization, since we
have all of the information necessary to produce this. But it's not clear what we would do with that
information at the moment.
```py
from typing import final, Never
from ty_extensions import ConstraintSet, generic_context
class Super: ...
class Base(Super): ...
class Sub(Base): ...
@final
class Unrelated: ...
def constrained[T: (Base, Unrelated)]():
# revealed: None
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@constrained = Base]
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.range(Never, T, Base)))
# revealed: ty_extensions.Specialization[T@constrained = Unrelated]
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.range(Never, T, Unrelated)))
# revealed: ty_extensions.Specialization[T@constrained = Base]
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.range(Never, T, Super)))
# revealed: None
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.range(Super, T, Super)))
# revealed: ty_extensions.Specialization[T@constrained = Base]
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.range(Sub, T, object)))
# revealed: None
reveal_type(generic_context(constrained).specialize_constrained(ConstraintSet.range(Sub, T, Sub)))
```
If any of the constraints is a gradual type, we are free to choose any materialization of that
constraint that makes the test succeed.
TODO: At the moment, we are producing a specialization that shows which particular materialization
that we chose, but really, we should be returning the gradual constraint as the specialization.
```py
from typing import Any
# fmt: off
def constrained_by_gradual[T: (Base, Any)]():
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = object]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = Base]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.range(Never, T, Base)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = Unrelated]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.range(Never, T, Unrelated)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = Super]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.range(Never, T, Super)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = Super]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.range(Super, T, Super)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = object]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.range(Sub, T, object)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual = Sub]
reveal_type(generic_context(constrained_by_gradual).specialize_constrained(ConstraintSet.range(Sub, T, Sub)))
def constrained_by_two_gradual[T: (Any, Any)]():
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = object]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.never()))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = Base]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.range(Never, T, Base)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = Unrelated]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.range(Never, T, Unrelated)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = Super]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.range(Never, T, Super)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = Super]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.range(Super, T, Super)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = object]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.range(Sub, T, object)))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = Any]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual = Sub]
reveal_type(generic_context(constrained_by_two_gradual).specialize_constrained(ConstraintSet.range(Sub, T, Sub)))
def constrained_by_gradual_list[T: (list[Base], list[Any])]():
# revealed: ty_extensions.Specialization[T@constrained_by_gradual_list = list[Base]]
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@constrained_by_gradual_list = list[Base]]
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.range(Never, T, list[Base])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual_list = list[Unrelated]]
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.range(Never, T, list[Unrelated])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual_list = list[Super]]
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.range(Never, T, list[Super])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual_list = list[Super]]
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.range(list[Super], T, list[Super])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_gradual_list = list[Sub]]
reveal_type(generic_context(constrained_by_gradual_list).specialize_constrained(ConstraintSet.range(list[Sub], T, list[Sub])))
def constrained_by_two_gradual_lists[T: (list[Any], list[Any])]():
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual_lists = Top[list[Any]]]
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.never()))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual_lists = list[Base]]
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.range(Never, T, list[Base])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual_lists = list[Unrelated]]
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.range(Never, T, list[Unrelated])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual_lists = list[Super]]
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.range(Never, T, list[Super])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual_lists = list[Super]]
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.range(list[Super], T, list[Super])))
# TODO: revealed: ty_extensions.Specialization[T@constrained_by_gradual = list[Any]]
# revealed: ty_extensions.Specialization[T@constrained_by_two_gradual_lists = list[Sub]]
reveal_type(generic_context(constrained_by_two_gradual_lists).specialize_constrained(ConstraintSet.range(list[Sub], T, list[Sub])))
```
## Mutually constrained typevars
If one typevar is constrained by another, the specialization of one can affect the specialization of
the other.
```py
from typing import final, Never
from ty_extensions import ConstraintSet, generic_context
class Super: ...
class Base(Super): ...
class Sub(Base): ...
@final
class Unrelated: ...
# fmt: off
def mutually_bound[T: Base, U]():
# revealed: ty_extensions.Specialization[T@mutually_bound = Base, U@mutually_bound = object]
reveal_type(generic_context(mutually_bound).specialize_constrained(ConstraintSet.always()))
# revealed: None
reveal_type(generic_context(mutually_bound).specialize_constrained(ConstraintSet.never()))
# revealed: ty_extensions.Specialization[T@mutually_bound = Base, U@mutually_bound = Base]
reveal_type(generic_context(mutually_bound).specialize_constrained(ConstraintSet.range(Never, U, T)))
# revealed: ty_extensions.Specialization[T@mutually_bound = Sub, U@mutually_bound = object]
reveal_type(generic_context(mutually_bound).specialize_constrained(ConstraintSet.range(Never, T, Sub)))
# revealed: ty_extensions.Specialization[T@mutually_bound = Sub, U@mutually_bound = Sub]
reveal_type(generic_context(mutually_bound).specialize_constrained(ConstraintSet.range(Never, T, Sub) & ConstraintSet.range(Never, U, T)))
# revealed: ty_extensions.Specialization[T@mutually_bound = Base, U@mutually_bound = Sub]
reveal_type(generic_context(mutually_bound).specialize_constrained(ConstraintSet.range(Never, U, Sub) & ConstraintSet.range(Never, U, T)))
```