## Summary Fixes #14550. Add `AlwaysTruthy` and `AlwaysFalsy` types, representing the set of objects whose `__bool__` method can only ever return `True` or `False`, respectively, and narrow `if x` and `if not x` accordingly. ## Test Plan - New Markdown test for truthiness narrowing `narrow/truthiness.md` - unit tests in `types.rs` and `builders.rs` (`cargo test --package red_knot_python_semantic --lib -- types`)
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Narrowing For Truthiness Checks (if x or if not x)
Value Literals
def foo() -> Literal[0, -1, True, False, "", "foo", b"", b"bar", None] | tuple[()]:
return 0
x = foo()
if x:
reveal_type(x) # revealed: Literal[-1] | Literal[True] | Literal["foo"] | Literal[b"bar"]
else:
reveal_type(x) # revealed: Literal[0] | Literal[False] | Literal[""] | Literal[b""] | None | tuple[()]
if not x:
reveal_type(x) # revealed: Literal[0] | Literal[False] | Literal[""] | Literal[b""] | None | tuple[()]
else:
reveal_type(x) # revealed: Literal[-1] | Literal[True] | Literal["foo"] | Literal[b"bar"]
if x and not x:
reveal_type(x) # revealed: Never
else:
reveal_type(x) # revealed: Literal[-1, 0] | bool | Literal["", "foo"] | Literal[b"", b"bar"] | None | tuple[()]
if not (x and not x):
reveal_type(x) # revealed: Literal[-1, 0] | bool | Literal["", "foo"] | Literal[b"", b"bar"] | None | tuple[()]
else:
reveal_type(x) # revealed: Never
if x or not x:
reveal_type(x) # revealed: Literal[-1, 0] | bool | Literal["foo", ""] | Literal[b"bar", b""] | None | tuple[()]
else:
reveal_type(x) # revealed: Never
if not (x or not x):
reveal_type(x) # revealed: Never
else:
reveal_type(x) # revealed: Literal[-1, 0] | bool | Literal["foo", ""] | Literal[b"bar", b""] | None | tuple[()]
if (isinstance(x, int) or isinstance(x, str)) and x:
reveal_type(x) # revealed: Literal[-1] | Literal[True] | Literal["foo"]
else:
reveal_type(x) # revealed: Literal[b"", b"bar"] | None | tuple[()] | Literal[0] | Literal[False] | Literal[""]
Function Literals
Basically functions are always truthy.
def flag() -> bool:
return True
def foo(hello: int) -> bytes:
return b""
def bar(world: str, *args, **kwargs) -> float:
return 0.0
x = foo if flag() else bar
if x:
reveal_type(x) # revealed: Literal[foo, bar]
else:
reveal_type(x) # revealed: Never
Mutable Truthiness
Truthiness of Instances
The boolean value of an instance is not always consistent. For example, __bool__ can be customized
to return random values, or in the case of a list(), the result depends on the number of elements
in the list. Therefore, these types should not be narrowed by if x or if not x.
class A: ...
class B: ...
def f(x: A | B):
if x:
reveal_type(x) # revealed: A & ~AlwaysFalsy | B & ~AlwaysFalsy
else:
reveal_type(x) # revealed: A & ~AlwaysTruthy | B & ~AlwaysTruthy
if x and not x:
reveal_type(x) # revealed: A & ~AlwaysFalsy & ~AlwaysTruthy | B & ~AlwaysFalsy & ~AlwaysTruthy
else:
reveal_type(x) # revealed: A & ~AlwaysTruthy | B & ~AlwaysTruthy | A & ~AlwaysFalsy | B & ~AlwaysFalsy
if x or not x:
reveal_type(x) # revealed: A & ~AlwaysFalsy | B & ~AlwaysFalsy | A & ~AlwaysTruthy | B & ~AlwaysTruthy
else:
reveal_type(x) # revealed: A & ~AlwaysTruthy & ~AlwaysFalsy | B & ~AlwaysTruthy & ~AlwaysFalsy
Truthiness of Types
Also, types may not be Truthy. This is because __bool__ can be customized via a metaclass.
Although this is a very rare case, we may consider metaclass checks in the future to handle this
more accurately.
def flag() -> bool:
return True
x = int if flag() else str
reveal_type(x) # revealed: Literal[int, str]
if x:
reveal_type(x) # revealed: Literal[int] & ~AlwaysFalsy | Literal[str] & ~AlwaysFalsy
else:
reveal_type(x) # revealed: Literal[int] & ~AlwaysTruthy | Literal[str] & ~AlwaysTruthy
Determined Truthiness
Some custom classes can have a boolean value that is consistently determined as either True or
False, regardless of the instance's state. This is achieved by defining a __bool__ method that
always returns a fixed value.
These types can always be fully narrowed in boolean contexts, as shown below:
class T:
def __bool__(self) -> Literal[True]:
return True
class F:
def __bool__(self) -> Literal[False]:
return False
t = T()
if t:
reveal_type(t) # revealed: T
else:
reveal_type(t) # revealed: Never
f = F()
if f:
reveal_type(f) # revealed: Never
else:
reveal_type(f) # revealed: F
Narrowing Complex Intersection and Union
class A: ...
class B: ...
def flag() -> bool:
return True
def instance() -> A | B:
return A()
def literals() -> Literal[0, 42, "", "hello"]:
return 42
x = instance()
y = literals()
if isinstance(x, str) and not isinstance(x, B):
reveal_type(x) # revealed: A & str & ~B
reveal_type(y) # revealed: Literal[0, 42] | Literal["", "hello"]
z = x if flag() else y
reveal_type(z) # revealed: A & str & ~B | Literal[0, 42] | Literal["", "hello"]
if z:
reveal_type(z) # revealed: A & str & ~B & ~AlwaysFalsy | Literal[42] | Literal["hello"]
else:
reveal_type(z) # revealed: A & str & ~B & ~AlwaysTruthy | Literal[0] | Literal[""]
Narrowing Multiple Variables
def f(x: Literal[0, 1], y: Literal["", "hello"]):
if x and y and not x and not y:
reveal_type(x) # revealed: Never
reveal_type(y) # revealed: Never
else:
# ~(x or not x) and ~(y or not y)
reveal_type(x) # revealed: Literal[0, 1]
reveal_type(y) # revealed: Literal["", "hello"]
if (x or not x) and (y and not y):
reveal_type(x) # revealed: Literal[0, 1]
reveal_type(y) # revealed: Never
else:
# ~(x or not x) or ~(y and not y)
reveal_type(x) # revealed: Literal[0, 1]
reveal_type(y) # revealed: Literal["", "hello"]
ControlFlow Merging
After merging control flows, when we take the union of all constraints applied in each branch, we should return to the original state.
class A: ...
x = A()
if x and not x:
y = x
reveal_type(y) # revealed: A & ~AlwaysFalsy & ~AlwaysTruthy
else:
y = x
reveal_type(y) # revealed: A & ~AlwaysTruthy | A & ~AlwaysFalsy
# TODO: It should be A. We should improve UnionBuilder or IntersectionBuilder. (issue #15023)
reveal_type(y) # revealed: A & ~AlwaysTruthy | A & ~AlwaysFalsy