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.. log.rst:

###
Log
###

.. code-block:: cpp 

   Log  // Elementwise logine operation



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 logine 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}} = \log(\mathtt{arg}_{i_0, \ldots, i_{n-1}})
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Backprop
========

.. math::

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   \overline{\mathtt{arg}} \leftarrow \frac{\Delta}{\mathtt{input}}
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C++ Interface
=============

.. doxygenclass:: ngraph::op::Log
   :project: ngraph
   :members: