sinh.rst 1.46 KB
Newer Older
Scott Cyphers's avatar
Scott Cyphers committed
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54
.. sinh.rst:

####
Sinh
####

.. code-block:: cpp

   Sinh  //  Elementwise hyperbolic sine operation


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

Produces a tensor of the same element type and shape as ``arg,``
where the value at each coordinate of ``output`` is the hyperbolic sine
of the value at the corresponding coordinate of ``arg.``

Inputs
------

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

Outputs
-------

+-----------------+-------------------------+--------------------------------+
| Name            | Element Type            | Shape                          |
+=================+=========================+================================+
| ``output``      | Same as ``arg``         | Same as ``arg``                |
+-----------------+-------------------------+--------------------------------+


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

.. math::

   \mathtt{output}_{i_0, \ldots, i_{n-1}} = \sinh(\mathtt{arg}_{i_0, \ldots, i_{n-1}})

Backprop
========

.. math::

   \overline{\mathtt{arg}} \leftarrow \Delta\ \cosh(\mathtt{arg})

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

55
.. doxygenclass:: ngraph::op::v0::Sinh
Scott Cyphers's avatar
Scott Cyphers committed
56 57
   :project: ngraph
   :members: