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.. atan.rst:

####
Atan
####

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.. code-block:: cpp

   Atan // Elementwise atan operation


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

Produces a tensor of the same element type and shape as ``arg``,
where the value at each coordinate of ``output`` is the inverse tangent 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                          |
+=================+=========================+================================+
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| ``output``      | Same as ``arg``         | Same as ``arg``                |
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+-----------------+-------------------------+--------------------------------+


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

.. math::

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


Backprop
========

.. math::

   \overline{\texttt{arg}} \leftarrow \frac{\Delta}{1+\texttt{arg}^2}


C++ Interface
=============

.. doxygenclass:: ngraph::op::Atan
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   :project: ngraph
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