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.. cosh.rst:

####
Cosh
####

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.. code-block:: cpp

   Cosh  //  Elementwise hyperbolic cosine 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 hyperbolic cosine of
the value at the corresponding coordinate of ``arg``.

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


Backprop
========

.. math::

   \overline{\texttt{arg}} \leftarrow \Delta\ \sinh(\texttt{arg})


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

.. doxygenclass:: ngraph::op::Cosh
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   :project: ngraph
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   :members: