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.. asin.rst:

####
Asin
####

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.. code-block:: cpp

   Asin  // Elementwise asin operation


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Description
===========

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

+-----------------+-------------------------+--------------------------------+
| Name            | Element Type            | Shape                          |
+=================+=========================+================================+
| ``arg``         | Any                     | Any                            |
+-----------------+-------------------------+--------------------------------+

Outputs
-------

+-----------------+-------------------------+--------------------------------+
| Name            | Element Type            | Shape                          |
+=================+=========================+================================+
| ``output``      | Same as ``arg``         | Same as ``arg``.               |
+-----------------+-------------------------+--------------------------------+


Mathematical Definition
=======================

.. math::

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

.. math::

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   \overline{\mathtt{arg}} \leftarrow \frac{\Delta}{\sqrt{1-\mathtt{arg}^2}}
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C++ Interface
=============

.. doxygenclass:: ngraph::op::Asin
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   :project: ngraph
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   :members: