ruff/crates/ty_python_semantic/resources/mdtest/terminal_statements.md

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Terminal statements

Introduction

Terminal statements complicate a naive control-flow analysis.

As a simple example:

def f(cond: bool) -> str:
    if cond:
        x = "test"
    else:
        raise ValueError
    return x

def g(cond: bool):
    if cond:
        x = "test"
        reveal_type(x)  # revealed: Literal["test"]
    else:
        x = "terminal"
        reveal_type(x)  # revealed: Literal["terminal"]
        raise ValueError
    reveal_type(x)  # revealed: Literal["test"]

In f, we should be able to determine that the else branch ends in a terminal statement, and that the return statement can only be executed when the condition is true. We should therefore consider the reference always bound, even though x is only bound in the true branch.

Similarly, in g, we should see that the assignment of the value "terminal" can never be seen by the final reveal_type.

return

A return statement is terminal; bindings that occur before it are not visible after it.

def resolved_reference(cond: bool) -> str:
    if cond:
        x = "test"
    else:
        return "early"
    return x  # no possibly-unresolved-reference diagnostic!

def return_in_then_branch(cond: bool):
    if cond:
        x = "terminal"
        reveal_type(x)  # revealed: Literal["terminal"]
        return
    else:
        x = "test"
        reveal_type(x)  # revealed: Literal["test"]
    reveal_type(x)  # revealed: Literal["test"]

def return_in_else_branch(cond: bool):
    if cond:
        x = "test"
        reveal_type(x)  # revealed: Literal["test"]
    else:
        x = "terminal"
        reveal_type(x)  # revealed: Literal["terminal"]
        return
    reveal_type(x)  # revealed: Literal["test"]

def return_in_both_branches(cond: bool):
    if cond:
        x = "terminal1"
        reveal_type(x)  # revealed: Literal["terminal1"]
        return
    else:
        x = "terminal2"
        reveal_type(x)  # revealed: Literal["terminal2"]
        return

def return_in_try(cond: bool):
    x = "before"
    try:
        if cond:
            x = "test"
            return
    except:
        # TODO: Literal["before"]
        reveal_type(x)  # revealed: Literal["before", "test"]
    else:
        reveal_type(x)  # revealed: Literal["before"]
    finally:
        reveal_type(x)  # revealed: Literal["before", "test"]
    reveal_type(x)  # revealed: Literal["before", "test"]

def return_in_nested_then_branch(cond1: bool, cond2: bool):
    if cond1:
        x = "test1"
        reveal_type(x)  # revealed: Literal["test1"]
    else:
        if cond2:
            x = "terminal"
            reveal_type(x)  # revealed: Literal["terminal"]
            return
        else:
            x = "test2"
            reveal_type(x)  # revealed: Literal["test2"]
        reveal_type(x)  # revealed: Literal["test2"]
    reveal_type(x)  # revealed: Literal["test1", "test2"]

def return_in_nested_else_branch(cond1: bool, cond2: bool):
    if cond1:
        x = "test1"
        reveal_type(x)  # revealed: Literal["test1"]
    else:
        if cond2:
            x = "test2"
            reveal_type(x)  # revealed: Literal["test2"]
        else:
            x = "terminal"
            reveal_type(x)  # revealed: Literal["terminal"]
            return
        reveal_type(x)  # revealed: Literal["test2"]
    reveal_type(x)  # revealed: Literal["test1", "test2"]

def return_in_both_nested_branches(cond1: bool, cond2: bool):
    if cond1:
        x = "test"
        reveal_type(x)  # revealed: Literal["test"]
    else:
        x = "terminal0"
        if cond2:
            x = "terminal1"
            reveal_type(x)  # revealed: Literal["terminal1"]
            return
        else:
            x = "terminal2"
            reveal_type(x)  # revealed: Literal["terminal2"]
            return
    reveal_type(x)  # revealed: Literal["test"]

continue

A continue statement jumps back to the top of the innermost loop. This makes it terminal within the loop body: definitions before it are not visible after it within the rest of the loop body. They are likely visible after the loop body, since loops do not introduce new scopes. (Statically known infinite loops are one exception — if control never leaves the loop body, bindings inside of the loop are not visible outside of it.)

TODO: We are not currently modeling the cyclic control flow for loops, pending fixpoint support in Salsa. The false positives in this section are because of that, and not our terminal statement support. See ruff#14160 for more details.

def resolved_reference(cond: bool) -> str:
    while True:
        if cond:
            x = "test"
        else:
            continue
        return x

def continue_in_then_branch(cond: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond:
            x = "continue"
            reveal_type(x)  # revealed: Literal["continue"]
            continue
        else:
            x = "loop"
            reveal_type(x)  # revealed: Literal["loop"]
        reveal_type(x)  # revealed: Literal["loop"]
    # TODO: Should be Literal["before", "loop", "continue"]
    reveal_type(x)  # revealed: Literal["before", "loop"]

def continue_in_else_branch(cond: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond:
            x = "loop"
            reveal_type(x)  # revealed: Literal["loop"]
        else:
            x = "continue"
            reveal_type(x)  # revealed: Literal["continue"]
            continue
        reveal_type(x)  # revealed: Literal["loop"]
    # TODO: Should be Literal["before", "loop", "continue"]
    reveal_type(x)  # revealed: Literal["before", "loop"]

def continue_in_both_branches(cond: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond:
            x = "continue1"
            reveal_type(x)  # revealed: Literal["continue1"]
            continue
        else:
            x = "continue2"
            reveal_type(x)  # revealed: Literal["continue2"]
            continue
    # TODO: Should be Literal["before", "continue1", "continue2"]
    reveal_type(x)  # revealed: Literal["before"]

def continue_in_nested_then_branch(cond1: bool, cond2: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond1:
            x = "loop1"
            reveal_type(x)  # revealed: Literal["loop1"]
        else:
            if cond2:
                x = "continue"
                reveal_type(x)  # revealed: Literal["continue"]
                continue
            else:
                x = "loop2"
                reveal_type(x)  # revealed: Literal["loop2"]
            reveal_type(x)  # revealed: Literal["loop2"]
        reveal_type(x)  # revealed: Literal["loop1", "loop2"]
    # TODO: Should be Literal["before", "loop1", "loop2", "continue"]
    reveal_type(x)  # revealed: Literal["before", "loop1", "loop2"]

def continue_in_nested_else_branch(cond1: bool, cond2: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond1:
            x = "loop1"
            reveal_type(x)  # revealed: Literal["loop1"]
        else:
            if cond2:
                x = "loop2"
                reveal_type(x)  # revealed: Literal["loop2"]
            else:
                x = "continue"
                reveal_type(x)  # revealed: Literal["continue"]
                continue
            reveal_type(x)  # revealed: Literal["loop2"]
        reveal_type(x)  # revealed: Literal["loop1", "loop2"]
    # TODO: Should be Literal["before", "loop1", "loop2", "continue"]
    reveal_type(x)  # revealed: Literal["before", "loop1", "loop2"]

def continue_in_both_nested_branches(cond1: bool, cond2: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond1:
            x = "loop"
            reveal_type(x)  # revealed: Literal["loop"]
        else:
            if cond2:
                x = "continue1"
                reveal_type(x)  # revealed: Literal["continue1"]
                continue
            else:
                x = "continue2"
                reveal_type(x)  # revealed: Literal["continue2"]
                continue
        reveal_type(x)  # revealed: Literal["loop"]
    # TODO: Should be Literal["before", "loop", "continue1", "continue2"]
    reveal_type(x)  # revealed: Literal["before", "loop"]

break

A break statement jumps to the end of the innermost loop. This makes it terminal within the loop body: definitions before it are not visible after it within the rest of the loop body. They are likely visible after the loop body, since loops do not introduce new scopes. (Statically known infinite loops are one exception — if control never leaves the loop body, bindings inside of the loop are not visible outside of it.)

def resolved_reference(cond: bool) -> str:
    while True:
        if cond:
            x = "test"
        else:
            break
        return x
    return x  # error: [unresolved-reference]

def break_in_then_branch(cond: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond:
            x = "break"
            reveal_type(x)  # revealed: Literal["break"]
            break
        else:
            x = "loop"
            reveal_type(x)  # revealed: Literal["loop"]
        reveal_type(x)  # revealed: Literal["loop"]
    reveal_type(x)  # revealed: Literal["before", "break", "loop"]

def break_in_else_branch(cond: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond:
            x = "loop"
            reveal_type(x)  # revealed: Literal["loop"]
        else:
            x = "break"
            reveal_type(x)  # revealed: Literal["break"]
            break
        reveal_type(x)  # revealed: Literal["loop"]
    reveal_type(x)  # revealed: Literal["before", "loop", "break"]

def break_in_both_branches(cond: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond:
            x = "break1"
            reveal_type(x)  # revealed: Literal["break1"]
            break
        else:
            x = "break2"
            reveal_type(x)  # revealed: Literal["break2"]
            break
    reveal_type(x)  # revealed: Literal["before", "break1", "break2"]

def break_in_nested_then_branch(cond1: bool, cond2: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond1:
            x = "loop1"
            reveal_type(x)  # revealed: Literal["loop1"]
        else:
            if cond2:
                x = "break"
                reveal_type(x)  # revealed: Literal["break"]
                break
            else:
                x = "loop2"
                reveal_type(x)  # revealed: Literal["loop2"]
            reveal_type(x)  # revealed: Literal["loop2"]
        reveal_type(x)  # revealed: Literal["loop1", "loop2"]
    reveal_type(x)  # revealed: Literal["before", "loop1", "break", "loop2"]

def break_in_nested_else_branch(cond1: bool, cond2: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond1:
            x = "loop1"
            reveal_type(x)  # revealed: Literal["loop1"]
        else:
            if cond2:
                x = "loop2"
                reveal_type(x)  # revealed: Literal["loop2"]
            else:
                x = "break"
                reveal_type(x)  # revealed: Literal["break"]
                break
            reveal_type(x)  # revealed: Literal["loop2"]
        reveal_type(x)  # revealed: Literal["loop1", "loop2"]
    reveal_type(x)  # revealed: Literal["before", "loop1", "loop2", "break"]

def break_in_both_nested_branches(cond1: bool, cond2: bool, i: int):
    x = "before"
    for _ in range(i):
        if cond1:
            x = "loop"
            reveal_type(x)  # revealed: Literal["loop"]
        else:
            if cond2:
                x = "break1"
                reveal_type(x)  # revealed: Literal["break1"]
                break
            else:
                x = "break2"
                reveal_type(x)  # revealed: Literal["break2"]
                break
        reveal_type(x)  # revealed: Literal["loop"]
    reveal_type(x)  # revealed: Literal["before", "loop", "break1", "break2"]

raise

A raise statement is terminal. If it occurs in a lexically containing try statement, it will jump to one of the except clauses (if it matches the value being raised), or to the else clause (if none match). Currently, we assume definitions from before the raise are visible in all except and else clauses. (In the future, we might analyze the except clauses to see which ones match the value being raised, and limit visibility to those clauses.) Definitions from before the raise are not visible in any else clause, but are visible in except clauses or after the containing try statement (since control flow may have passed through an except).

Currently we assume that an exception could be raised anywhere within a try block. We may want to implement a more precise understanding of where exceptions (barring KeyboardInterrupt and MemoryError) can and cannot actually be raised.

def raise_in_then_branch(cond: bool):
    x = "before"
    try:
        if cond:
            x = "raise"
            reveal_type(x)  # revealed: Literal["raise"]
            raise ValueError
        else:
            x = "else"
            reveal_type(x)  # revealed: Literal["else"]
        reveal_type(x)  # revealed: Literal["else"]
    except ValueError:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "raise", "else"]
    except:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "raise", "else"]
    else:
        reveal_type(x)  # revealed: Literal["else"]
    finally:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "raise", "else"]
    # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
    reveal_type(x)  # revealed: Literal["before", "raise", "else"]

def raise_in_else_branch(cond: bool):
    x = "before"
    try:
        if cond:
            x = "else"
            reveal_type(x)  # revealed: Literal["else"]
        else:
            x = "raise"
            reveal_type(x)  # revealed: Literal["raise"]
            raise ValueError
        reveal_type(x)  # revealed: Literal["else"]
    except ValueError:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else", "raise"]
    except:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else", "raise"]
    else:
        reveal_type(x)  # revealed: Literal["else"]
    finally:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else", "raise"]
    # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
    reveal_type(x)  # revealed: Literal["before", "else", "raise"]

def raise_in_both_branches(cond: bool):
    x = "before"
    try:
        if cond:
            x = "raise1"
            reveal_type(x)  # revealed: Literal["raise1"]
            raise ValueError
        else:
            x = "raise2"
            reveal_type(x)  # revealed: Literal["raise2"]
            raise ValueError
    except ValueError:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "raise1", "raise2"]
    except:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "raise1", "raise2"]
    else:
        # This branch is unreachable, since all control flows in the `try` clause raise exceptions.
        # As a result, this binding should never be reachable, since new bindings are visible only
        # when they are reachable.
        x = "unreachable"
    finally:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "raise1", "raise2"]
    # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
    reveal_type(x)  # revealed: Literal["before", "raise1", "raise2"]

def raise_in_nested_then_branch(cond1: bool, cond2: bool):
    x = "before"
    try:
        if cond1:
            x = "else1"
            reveal_type(x)  # revealed: Literal["else1"]
        else:
            if cond2:
                x = "raise"
                reveal_type(x)  # revealed: Literal["raise"]
                raise ValueError
            else:
                x = "else2"
                reveal_type(x)  # revealed: Literal["else2"]
            reveal_type(x)  # revealed: Literal["else2"]
        reveal_type(x)  # revealed: Literal["else1", "else2"]
    except ValueError:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else1", "raise", "else2"]
    except:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else1", "raise", "else2"]
    else:
        reveal_type(x)  # revealed: Literal["else1", "else2"]
    finally:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else1", "raise", "else2"]
    # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
    reveal_type(x)  # revealed: Literal["before", "else1", "raise", "else2"]

def raise_in_nested_else_branch(cond1: bool, cond2: bool):
    x = "before"
    try:
        if cond1:
            x = "else1"
            reveal_type(x)  # revealed: Literal["else1"]
        else:
            if cond2:
                x = "else2"
                reveal_type(x)  # revealed: Literal["else2"]
            else:
                x = "raise"
                reveal_type(x)  # revealed: Literal["raise"]
                raise ValueError
            reveal_type(x)  # revealed: Literal["else2"]
        reveal_type(x)  # revealed: Literal["else1", "else2"]
    except ValueError:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else1", "else2", "raise"]
    except:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else1", "else2", "raise"]
    else:
        reveal_type(x)  # revealed: Literal["else1", "else2"]
    finally:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else1", "else2", "raise"]
    # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
    reveal_type(x)  # revealed: Literal["before", "else1", "else2", "raise"]

def raise_in_both_nested_branches(cond1: bool, cond2: bool):
    x = "before"
    try:
        if cond1:
            x = "else"
            reveal_type(x)  # revealed: Literal["else"]
        else:
            if cond2:
                x = "raise1"
                reveal_type(x)  # revealed: Literal["raise1"]
                raise ValueError
            else:
                x = "raise2"
                reveal_type(x)  # revealed: Literal["raise2"]
                raise ValueError
        reveal_type(x)  # revealed: Literal["else"]
    except ValueError:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else", "raise1", "raise2"]
    except:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else", "raise1", "raise2"]
    else:
        reveal_type(x)  # revealed: Literal["else"]
    finally:
        # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
        reveal_type(x)  # revealed: Literal["before", "else", "raise1", "raise2"]
    # Exceptions can occur anywhere, so "before" and "raise" are valid possibilities
    reveal_type(x)  # revealed: Literal["before", "else", "raise1", "raise2"]

Terminal in try with finally clause

TODO: we don't yet model that a break or continue in a try block will jump to a finally clause before it jumps to end/start of the loop.

def f():
    x = 1
    while True:
        try:
            break
        finally:
            x = 2
    # TODO: should be Literal[2]
    reveal_type(x)  # revealed: Literal[1]

Calls to functions returning Never / NoReturn

No implicit return

If we see a call to a function returning Never, we should be able to understand that the function cannot implicitly return None. In the below examples, verify that there are no errors emitted for invalid return type.

from typing import NoReturn
import sys

def f() -> NoReturn:
    sys.exit(1)

Let's try cases where the function annotated with NoReturn is some sub-expression.

from typing import NoReturn
import sys

# TODO: this is currently not yet supported
# error: [invalid-return-type]
def _() -> NoReturn:
    3 + sys.exit(1)

# TODO: this is currently not yet supported
# error: [invalid-return-type]
def _() -> NoReturn:
    3 if sys.exit(1) else 4

Type narrowing

from typing import NoReturn
import sys

def g(x: int | None):
    if x is None:
        sys.exit(1)

    # TODO: should be just int, not int | None
    reveal_type(x)  # revealed: int | None

Bindings after call

These should be understood to be unreachable.

import sys

def _():
    x = 3

    sys.exit(1)

    x = 4
    reveal_type(x)  # revealed: Never

Nested functions

Free references inside of a function body refer to variables defined in the containing scope. Function bodies are lazy scopes: at runtime, these references are not resolved immediately at the point of the function definition. Instead, they are resolved at the time of the call, which means that their values (and types) can be different for different invocations. For simplicity, we currently consider all reachable bindings in the containing scope:

def top_level_return(cond1: bool, cond2: bool):
    x = 1

    def g():
        # TODO We could potentially eliminate `Unknown` from the union here,
        # because `x` resolves to an enclosing function-like scope and there
        # are no nested `nonlocal` declarations of that symbol that might
        # modify it.
        reveal_type(x)  # revealed: Unknown | Literal[1, 2, 3]
    if cond1:
        if cond2:
            x = 2
        else:
            x = 3
    return

def return_from_if(cond1: bool, cond2: bool):
    x = 1

    def g():
        reveal_type(x)  # revealed: Unknown | Literal[1, 2, 3]
    if cond1:
        if cond2:
            x = 2
        else:
            x = 3
        return

def return_from_nested_if(cond1: bool, cond2: bool):
    x = 1

    def g():
        reveal_type(x)  # revealed: Unknown | Literal[1, 2, 3]
    if cond1:
        if cond2:
            x = 2
            return
        else:
            x = 3

Statically known terminal statements

We model reachability using the same constraints that we use to model statically known bounds. In this example, we see that the return statement is always executed, and therefore that the "b" assignment is not visible to the reveal_type.

def _(cond: bool):
    x = "a"
    if cond:
        x = "b"
        if True:
            return

    reveal_type(x)  # revealed: Literal["a"]

Bindings after a terminal statement are unreachable

Any bindings introduced after a terminal statement are unreachable, and are currently considered not visible. We anticipate that we want to provide a more useful analysis for code after terminal statements.

def f(cond: bool) -> str:
    x = "before"
    if cond:
        reveal_type(x)  # revealed: Literal["before"]
        return "a"
        x = "after-return"
        reveal_type(x)  # revealed: Never
    else:
        x = "else"
    return reveal_type(x)  # revealed: Literal["else"]