.. currentmodule:: torch

.. _tensor-attributes-doc:

Tensor Attributes
=================

Each ``torch.Tensor`` has a :class:`torch.dtype`, :class:`torch.device`, and :class:`torch.layout`.

.. _dtype-doc:

torch.dtype
-----------

.. class:: torch.dtype

A :class:`torch.dtype` is an object that represents the data type of a
:class:`torch.Tensor`. PyTorch has twelve different data types:

========================== ===========================================   ===========================
Data type                  dtype                                         Legacy Constructors
========================== ===========================================   ===========================
32-bit floating point      ``torch.float32`` or ``torch.float``          ``torch.*.FloatTensor``
64-bit floating point      ``torch.float64`` or ``torch.double``         ``torch.*.DoubleTensor``
64-bit complex             ``torch.complex64`` or ``torch.cfloat``
128-bit complex            ``torch.complex128`` or ``torch.cdouble``
16-bit floating point [1]_ ``torch.float16`` or ``torch.half``           ``torch.*.HalfTensor``
16-bit floating point [2]_ ``torch.bfloat16``                            ``torch.*.BFloat16Tensor``
8-bit integer (unsigned)   ``torch.uint8``                               ``torch.*.ByteTensor``
8-bit integer (signed)     ``torch.int8``                                ``torch.*.CharTensor``
16-bit integer (signed)    ``torch.int16`` or ``torch.short``            ``torch.*.ShortTensor``
32-bit integer (signed)    ``torch.int32`` or ``torch.int``              ``torch.*.IntTensor``
64-bit integer (signed)    ``torch.int64`` or ``torch.long``             ``torch.*.LongTensor``
Boolean                    ``torch.bool``                                ``torch.*.BoolTensor``
========================== ===========================================   ===========================

.. [1] Sometimes referred to as binary16: uses 1 sign, 5 exponent, and 10
  significand bits. Useful when precision is important.

.. [2] Sometimes referred to as Brain Floating Point: use 1 sign, 8 exponent and 7
  significand bits. Useful when range is important, since it has the same
  number of exponent bits as ``float32``

To find out if a :class:`torch.dtype` is a floating point data type, the property :attr:`is_floating_point`
can be used, which returns ``True`` if the data type is a floating point data type.

To find out if a :class:`torch.dtype` is a complex data type, the property :attr:`is_complex`
can be used, which returns ``True`` if the data type is a complex data type.

.. _type-promotion-doc:

When the dtypes of inputs to an arithmetic operation (`add`, `sub`, `div`, `mul`) differ, we promote
by finding the minimum dtype that satisfies the following rules:

* If the type of a scalar operand is of a higher category than tensor operands
  (where complex > floating > integral > boolean), we promote to a type with sufficient size to hold
  all scalar operands of that category.
* If a zero-dimension tensor operand has a higher category than dimensioned operands,
  we promote to a type with sufficient size and category to hold all zero-dim tensor operands of
  that category.
* If there are no higher-category zero-dim operands, we promote to a type with sufficient size
  and category to hold all dimensioned operands.

A floating point scalar operand has dtype `torch.get_default_dtype()` and an integral
non-boolean scalar operand has dtype `torch.int64`. Unlike numpy, we do not inspect
values when determining the minimum `dtypes` of an operand.  Quantized and complex types
are not yet supported.

Promotion Examples::

    >>> float_tensor = torch.ones(1, dtype=torch.float)
    >>> double_tensor = torch.ones(1, dtype=torch.double)
    >>> complex_float_tensor = torch.ones(1, dtype=torch.complex64)
    >>> complex_double_tensor = torch.ones(1, dtype=torch.complex128)
    >>> int_tensor = torch.ones(1, dtype=torch.int)
    >>> long_tensor = torch.ones(1, dtype=torch.long)
    >>> uint_tensor = torch.ones(1, dtype=torch.uint8)
    >>> double_tensor = torch.ones(1, dtype=torch.double)
    >>> bool_tensor = torch.ones(1, dtype=torch.bool)
    # zero-dim tensors
    >>> long_zerodim = torch.tensor(1, dtype=torch.long)
    >>> int_zerodim = torch.tensor(1, dtype=torch.int)

    >>> torch.add(5, 5).dtype
    torch.int64
    # 5 is an int64, but does not have higher category than int_tensor so is not considered.
    >>> (int_tensor + 5).dtype
    torch.int32
    >>> (int_tensor + long_zerodim).dtype
    torch.int32
    >>> (long_tensor + int_tensor).dtype
    torch.int64
    >>> (bool_tensor + long_tensor).dtype
    torch.int64
    >>> (bool_tensor + uint_tensor).dtype
    torch.uint8
    >>> (float_tensor + double_tensor).dtype
    torch.float64
    >>> (complex_float_tensor + complex_double_tensor).dtype
    torch.complex128
    >>> (bool_tensor + int_tensor).dtype
    torch.int32
    # Since long is a different kind than float, result dtype only needs to be large enough
    # to hold the float.
    >>> torch.add(long_tensor, float_tensor).dtype
    torch.float32

When the output tensor of an arithmetic operation is specified, we allow casting to its `dtype` except that:
  * An integral output tensor cannot accept a floating point tensor.
  * A boolean output tensor cannot accept a non-boolean tensor.
  * A non-complex output tensor cannot accept a complex tensor

Casting Examples::

    # allowed:
    >>> float_tensor *= double_tensor
    >>> float_tensor *= int_tensor
    >>> float_tensor *= uint_tensor
    >>> float_tensor *= bool_tensor
    >>> float_tensor *= double_tensor
    >>> int_tensor *= long_tensor
    >>> int_tensor *= uint_tensor
    >>> uint_tensor *= int_tensor

    # disallowed (RuntimeError: result type can't be cast to the desired output type):
    >>> int_tensor *= float_tensor
    >>> bool_tensor *= int_tensor
    >>> bool_tensor *= uint_tensor
    >>> float_tensor *= complex_float_tensor


.. _device-doc:

torch.device
------------

.. class:: torch.device

A :class:`torch.device` is an object representing the device on which a :class:`torch.Tensor` is
or will be allocated.

The :class:`torch.device` contains a device type (``'cpu'`` or ``'cuda'``) and optional device
ordinal for the device type. If the device ordinal is not present, this object will always represent
the current device for the device type, even after :func:`torch.cuda.set_device()` is called; e.g.,
a :class:`torch.Tensor` constructed with device ``'cuda'`` is equivalent to ``'cuda:X'`` where X is
the result of :func:`torch.cuda.current_device()`.

A :class:`torch.Tensor`'s device can be accessed via the :attr:`Tensor.device` property.

A :class:`torch.device` can be constructed via a string or via a string and device ordinal

Via a string:
::

    >>> torch.device('cuda:0')
    device(type='cuda', index=0)

    >>> torch.device('cpu')
    device(type='cpu')

    >>> torch.device('cuda')  # current cuda device
    device(type='cuda')

Via a string and device ordinal:

::

    >>> torch.device('cuda', 0)
    device(type='cuda', index=0)

    >>> torch.device('cpu', 0)
    device(type='cpu', index=0)

.. note::
   The :class:`torch.device` argument in functions can generally be substituted with a string.
   This allows for fast prototyping of code.

   >>> # Example of a function that takes in a torch.device
   >>> cuda1 = torch.device('cuda:1')
   >>> torch.randn((2,3), device=cuda1)

   >>> # You can substitute the torch.device with a string
   >>> torch.randn((2,3), device='cuda:1')

.. note::
   For legacy reasons, a device can be constructed via a single device ordinal, which is treated
   as a cuda device.  This matches :meth:`Tensor.get_device`, which returns an ordinal for cuda
   tensors and is not supported for cpu tensors.

   >>> torch.device(1)
   device(type='cuda', index=1)

.. note::
   Methods which take a device will generally accept a (properly formatted) string
   or (legacy) integer device ordinal, i.e. the following are all equivalent:

   >>> torch.randn((2,3), device=torch.device('cuda:1'))
   >>> torch.randn((2,3), device='cuda:1')
   >>> torch.randn((2,3), device=1)  # legacy


.. _layout-doc:

torch.layout
------------

.. class:: torch.layout

.. warning::
  The ``torch.layout`` class is in beta and subject to change.

A :class:`torch.layout` is an object that represents the memory layout of a
:class:`torch.Tensor`. Currently, we support ``torch.strided`` (dense Tensors)
and have beta support for ``torch.sparse_coo`` (sparse COO Tensors).

``torch.strided`` represents dense Tensors and is the memory layout that
is most commonly used. Each strided tensor has an associated
:class:`torch.Storage`, which holds its data. These tensors provide
multi-dimensional, `strided <https://en.wikipedia.org/wiki/Stride_of_an_array>`_
view of a storage. Strides are a list of integers: the k-th stride
represents the jump in the memory necessary to go from one element to the
next one in the k-th dimension of the Tensor. This concept makes it possible
to perform many tensor operations efficiently.

Example::

    >>> x = torch.Tensor([[1, 2, 3, 4, 5], [6, 7, 8, 9, 10]])
    >>> x.stride()
    (5, 1)

    >>> x.t().stride()
    (1, 5)

For more information on ``torch.sparse_coo`` tensors, see :ref:`sparse-docs`.

torch.memory_format
-------------------

.. class:: torch.memory_format

A :class:`torch.memory_format` is an object representing the memory format on which a :class:`torch.Tensor` is
or will be allocated.

Possible values are:

- ``torch.contiguous_format``:
  Tensor is or will be  allocated in dense non-overlapping memory. Strides represented by values in decreasing order.

- ``torch.channels_last``:
  Tensor is or will be  allocated in dense non-overlapping memory. Strides represented by values in
  ``strides[0] > strides[2] > strides[3] > strides[1] == 1`` aka NHWC order.

- ``torch.preserve_format``:
  Used in functions like `clone` to preserve the memory format of the input tensor. If input tensor is
  allocated in dense non-overlapping memory, the output tensor strides will be copied from the input.
  Otherwise output strides will follow ``torch.contiguous_format``
