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Rename Red Knot (#17820)
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crates/ty_python_semantic/resources/mdtest/binary/integers.md
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crates/ty_python_semantic/resources/mdtest/binary/integers.md
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# Binary operations on integers
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## Basic Arithmetic
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```py
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reveal_type(2 + 1) # revealed: Literal[3]
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reveal_type(3 - 4) # revealed: Literal[-1]
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reveal_type(3 * -1) # revealed: Literal[-3]
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reveal_type(-3 // 3) # revealed: Literal[-1]
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reveal_type(-3 / 3) # revealed: float
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reveal_type(5 % 3) # revealed: Literal[2]
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# error: [unsupported-operator] "Operator `+` is unsupported between objects of type `Literal[2]` and `Literal["f"]`"
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reveal_type(2 + "f") # revealed: Unknown
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def lhs(x: int):
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reveal_type(x + 1) # revealed: int
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reveal_type(x - 4) # revealed: int
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reveal_type(x * -1) # revealed: int
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reveal_type(x // 3) # revealed: int
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reveal_type(x / 3) # revealed: int | float
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reveal_type(x % 3) # revealed: int
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def rhs(x: int):
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reveal_type(2 + x) # revealed: int
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reveal_type(3 - x) # revealed: int
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reveal_type(3 * x) # revealed: int
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reveal_type(-3 // x) # revealed: int
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reveal_type(-3 / x) # revealed: int | float
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reveal_type(5 % x) # revealed: int
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def both(x: int):
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reveal_type(x + x) # revealed: int
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reveal_type(x - x) # revealed: int
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reveal_type(x * x) # revealed: int
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reveal_type(x // x) # revealed: int
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reveal_type(x / x) # revealed: int | float
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reveal_type(x % x) # revealed: int
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```
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## Power
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For power if the result fits in the int literal type it will be a Literal type. Otherwise the
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outcome is int.
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```py
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largest_u32 = 4_294_967_295
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reveal_type(2**2) # revealed: Literal[4]
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reveal_type(1 ** (largest_u32 + 1)) # revealed: int
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reveal_type(2**largest_u32) # revealed: int
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def variable(x: int):
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reveal_type(x**2) # revealed: int
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# TODO: should be `Any` (overload 5 on `__pow__`), requires correct overload matching
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reveal_type(2**x) # revealed: int
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# TODO: should be `Any` (overload 5 on `__pow__`), requires correct overload matching
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reveal_type(x**x) # revealed: int
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```
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If the second argument is \<0, a `float` is returned at runtime. If the first argument is \<0 but
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the second argument is >=0, an `int` is still returned:
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```py
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reveal_type(1**0) # revealed: Literal[1]
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reveal_type(0**1) # revealed: Literal[0]
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reveal_type(0**0) # revealed: Literal[1]
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reveal_type((-1) ** 2) # revealed: Literal[1]
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reveal_type(2 ** (-1)) # revealed: float
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reveal_type((-1) ** (-1)) # revealed: float
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```
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## Division by Zero
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This error is really outside the current Python type system, because e.g. `int.__truediv__` and
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friends are not annotated to indicate that it's an error, and we don't even have a facility to
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permit such an annotation. So arguably divide-by-zero should be a lint error rather than a type
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checker error. But we choose to go ahead and error in the cases that are very likely to be an error:
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dividing something typed as `int` or `float` by something known to be `Literal[0]`.
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This isn't _definitely_ an error, because the object typed as `int` or `float` could be an instance
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of a custom subclass which overrides division behavior to handle zero without error. But if this
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unusual case occurs, the error can be avoided by explicitly typing the dividend as that safe custom
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subclass; we only emit the error if the LHS type is exactly `int` or `float`, not if its a subclass.
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```py
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a = 1 / 0 # error: "Cannot divide object of type `Literal[1]` by zero"
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reveal_type(a) # revealed: float
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b = 2 // 0 # error: "Cannot floor divide object of type `Literal[2]` by zero"
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reveal_type(b) # revealed: int
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c = 3 % 0 # error: "Cannot reduce object of type `Literal[3]` modulo zero"
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reveal_type(c) # revealed: int
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# error: "Cannot divide object of type `int` by zero"
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reveal_type(int() / 0) # revealed: int | float
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# error: "Cannot divide object of type `Literal[1]` by zero"
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reveal_type(1 / False) # revealed: float
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# error: [division-by-zero] "Cannot divide object of type `Literal[True]` by zero"
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True / False
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# error: [division-by-zero] "Cannot divide object of type `Literal[True]` by zero"
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bool(1) / False
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# error: "Cannot divide object of type `float` by zero"
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reveal_type(1.0 / 0) # revealed: int | float
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class MyInt(int): ...
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# No error for a subclass of int
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reveal_type(MyInt(3) / 0) # revealed: int | float
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```
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