asin.rst 1.46 KB

Asin

Asin  // Elementwise asin operation

Description

Produces a tensor of the same element type and shape as arg, where the value at each coordinate of output is the inverse sine of the value at the corresponding coordinate of arg.

Inputs

Name Element Type Shape
arg Any Any

Outputs

Name Element Type Shape
output Same as arg Same as arg.

Mathematical Definition

\mathtt{output}_{i_0, \ldots, i_{n-1}} = \sin^{-1}(\mathtt{arg}_{i_0, \ldots, i_{n-1}})

Backprop

\overline{\mathtt{arg}} \leftarrow \frac{\Delta}{\sqrt{1-\mathtt{arg}^2}}

C++ Interface