nextafter

→Tensor

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

Element-wise IEEE 754 next representable floating-point value.

Returns the next floating-point value after input in the direction of other. When input == other the result is exactly other.

inputTensor

Left operand.

otherTensor or scalar

Right operand. Broadcasts against input following the standard broadcasting rules; Python scalars are promoted to a tensor of matching dtype.

Tensor

Element-wise result with shape broadcast(input.shape, other.shape) and dtype determined by the usual type-promotion rules.

Mathematical definition:

\text{out}_i = \mathrm{nextafter}(\text{input}_i, \text{other}_i)

Useful for tight numerical tolerances and stepping along the float lattice.

>>> import lucid
>>> a = lucid.tensor([1.0, 2.0, 3.0])
>>> b = lucid.tensor([4.0, 5.0, 6.0])
>>> lucid.nextafter(a, b)
Tensor([...])