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.. ceiling.rst:

#######
Ceiling
#######

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.. code-block:: cpp

   Ceiling  // Elementwise ceiling operation


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

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

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::

   \mathtt{output}_{i_0, \ldots, i_{n-1}} = \lceil \mathtt{arg}_{i_0,
   \ldots, i_{n-1}}\rceil

Backprop
========

Not defined by nGraph.

The backprop would be zero for non-integer
input and undefined for integer input; a zero backprop would have
no effect on the backprop to ``arg``, so there is no need for ``Ceiling``
to define a backprop.

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

.. doxygenclass:: ngraph::op::Ceiling
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   :project: ngraph
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   :members: