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.. acos.rst:

####
Acos
####

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.. code-block:: cpp

   Acos  // Elementwise acos operation


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

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Produces a tensor of the same element type and shape as ``arg,`` where the 
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value at each coordinate of ``output`` is the inverse cosine of the value 
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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::

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   \mathtt{output}_{i_0, \ldots, i_{n-1}} = \cos^{-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::Acos
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   :project: ngraph
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   :members: