logical_xor

→Tensor

logical_xor(input: Tensor, other: Tensor | Scalar)

source

Element-wise logical exclusive-OR.

Element-wise boolean operation. Non-boolean inputs are first reduced to their truthiness (False iff the value is exactly zero) before the operation is applied. The output dtype is bool.

Parameters

inputTensor

Left operand (treated as boolean).

otherTensor or scalar

Right operand (treated as boolean). Broadcasts against input.

Returns

Tensor

Boolean tensor with shape broadcast(input.shape, other.shape).

Notes

Mathematical definition (with $\bar x$ denoting boolean coercion):

\text{out}_i = \bar{x}_i \oplus \bar{y}_i

Logical operations are not differentiable; gradients are dropped. Equivalent to input.bool() ^ other.bool().

Examples

>>> import lucid
>>> a = lucid.tensor([True, False, True])
>>> b = lucid.tensor([True, True, False])
>>> lucid.logical_xor(a, b)
Tensor([...])