cos.rst 1.43 KB
Newer Older
1 2 3 4 5 6
.. cos.rst:

###
Cos
###

7 8 9 10 11
.. code-block:: cpp

   Cos  //  Elementwise cosine operation


12 13 14
Description
===========

Scott Cyphers's avatar
Scott Cyphers committed
15
Produces a tensor of the same element type and shape as ``arg,``
16
where the value at each coordinate of ``output`` is the cosine of the
Scott Cyphers's avatar
Scott Cyphers committed
17
value at the corresponding coordinate of ``arg.``
18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

Inputs
------

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

Outputs
-------

+-----------------+-------------------------+--------------------------------+
| Name            | Element Type            | Shape                          |
+=================+=========================+================================+
34
| ``output``      | Same as ``arg``         | Same as ``arg``                |
35 36 37 38 39 40 41 42
+-----------------+-------------------------+--------------------------------+


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

.. math::

43
   \mathtt{output}_{i_0, \ldots, i_{n-1}} = \cos(\mathtt{arg}_{i_0, \ldots, i_{n-1}})
44 45 46 47 48 49 50


Backprop
========

.. math::

51
   \overline{\mathtt{arg}} \leftarrow -\Delta\ \sin(\mathtt{arg})
52 53 54 55 56 57


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

.. doxygenclass:: ngraph::op::Cos
58
   :project: ngraph
59
   :members: