asin

→Tensor

asin(input: Tensor)

Element-wise inverse sine in radians.

Alias of arcsin. Computes $\arcsin(x)$ for entries in $[-1, 1]$ .

inputTensor

Input tensor.

Tensor

Element-wise result with the same shape as input.

Mathematical definition:

\text{out}_i = \arcsin(\text{input}_i), \quad \text{input}_i \in [-1, 1]

Result lies in $[-\pi/2, \pi/2]$ . Gradient: $1 / \sqrt{1 - x^{2}}$ .

>>> import lucid
>>> x = lucid.tensor([1.0, 2.0, 3.0])
>>> lucid.asin(x)
Tensor([...])