logic.py

#   Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import paddle
from ..fluid.data_feeder import check_type, check_variable_and_dtype
from .layer_function_generator import templatedoc
from ..static import Variable
# TODO: define logic functions of a tensor
from ..fluid.framework import _in_eager_mode_
if _in_eager_mode_:
    Tensor = paddle.fluid.framework.core.eager.Tensor
else:
    from ..framework import VarBase as Tensor

from ..framework import in_dygraph_mode, _non_static_mode
from ..framework import LayerHelper
from ..fluid.framework import _in_legacy_dygraph
# TODO: define logic functions of a tensor
from paddle import _C_ops
from paddle.tensor.creation import full

__all__ = []


def _logical_op(op_name, x, y, out=None, name=None, binary_op=True):
    if _non_static_mode():
        op = getattr(_C_ops, op_name)
        if binary_op:
            return op(x, y)
        else:
            return op(x)
    check_variable_and_dtype(
        x, "x",
        ["bool", "int8", "int16", "int32", "int64", "float32", "float64"],
        op_name)
    if y is not None:
        check_variable_and_dtype(
            y, "y",
            ["bool", "int8", "int16", "int32", "int64", "float32", "float64"],
            op_name)
    if out is not None:
        check_type(out, "out", Variable, op_name)

    helper = LayerHelper(op_name, **locals())

    if binary_op and x.dtype != y.dtype:
        raise ValueError(
            "(InvalidArgument) The DataType of %s Op's Variable must be consistent, but received %s and %s."
            % (op_name, x.dtype, y.dtype))

    if out is None:
        out = helper.create_variable_for_type_inference(dtype=x.dtype)

    if binary_op:
        helper.append_op(type=op_name,
                         inputs={
                             "X": x,
                             "Y": y
                         },
                         outputs={"Out": out})
    else:
        helper.append_op(type=op_name, inputs={"X": x}, outputs={"Out": out})

    return out


def logical_and(x, y, out=None, name=None):
    r"""

    ``logical_and`` operator computes element-wise logical AND on ``x`` and ``y``, and returns ``out``. ``out`` is N-dim boolean ``Tensor``.
    Each element of ``out`` is calculated by

    .. math::

        out = x \&\& y

    .. note::
        ``paddle.logical_and`` supports broadcasting. If you want know more about broadcasting, please refer to :ref:`user_guide_broadcasting`.

    Args:
        x (Tensor): the input tensor, it's data type should be one of bool, int8, int16, in32, in64, float32, float64.
        y (Tensor): the input tensor, it's data type should be one of bool, int8, int16, in32, in64, float32, float64.
        out(Tensor): The ``Tensor`` that specifies the output of the operator, which can be any ``Tensor`` that has been created in the program. The default value is None, and a new ``Tensor`` will be created to save the output.
        name (str, optional): Name for the operation (optional, default is None). For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        N-D Tensor. A location into which the result is stored. It's dimension equals with ``x``.

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([True])
            y = paddle.to_tensor([True, False, True, False])
            res = paddle.logical_and(x, y)
            print(res) # [True False True False]
    """
    if in_dygraph_mode():
        return _C_ops.final_state_logical_and(x, y)

    return _logical_op(op_name="logical_and",
                       x=x,
                       y=y,
                       name=name,
                       out=out,
                       binary_op=True)


def logical_or(x, y, out=None, name=None):
    """

    ``logical_or`` operator computes element-wise logical OR on ``x`` and ``y``, and returns ``out``. ``out`` is N-dim boolean ``Tensor``.
    Each element of ``out`` is calculated by

    .. math::

        out = x || y

    .. note::
        ``paddle.logical_or`` supports broadcasting. If you want know more about broadcasting, please refer to :ref:`user_guide_broadcasting`.
    
    Args:
        x (Tensor): the input tensor, it's data type should be one of bool, int8, int16, in32, in64, float32, float64.
        y (Tensor): the input tensor, it's data type should be one of bool, int8, int16, in32, in64, float32, float64.
        out(Tensor): The ``Variable`` that specifies the output of the operator, which can be any ``Tensor`` that has been created in the program. The default value is None, and a new ``Tensor`` will be created to save the output.
        name (str, optional): Name for the operation (optional, default is None). For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        N-D Tensor. A location into which the result is stored. It's dimension equals with ``x``.

    Examples:
        .. code-block:: python

            import paddle
            import numpy as np

            x_data = np.array([True, False], dtype=np.bool).reshape(2, 1)
            y_data = np.array([True, False, True, False], dtype=np.bool).reshape(2, 2)
            x = paddle.to_tensor(x_data)
            y = paddle.to_tensor(y_data)
            res = paddle.logical_or(x, y)
            print(res) # [[ True  True] [ True False]]
    """
    if in_dygraph_mode():
        return _C_ops.final_state_logical_or(x, y)
    return _logical_op(op_name="logical_or",
                       x=x,
                       y=y,
                       name=name,
                       out=out,
                       binary_op=True)


def logical_xor(x, y, out=None, name=None):
    r"""

    ``logical_xor`` operator computes element-wise logical XOR on ``x`` and ``y``, and returns ``out``. ``out`` is N-dim boolean ``Tensor``.
    Each element of ``out`` is calculated by

    .. math::

        out = (x || y) \&\& !(x \&\& y)

    .. note::
        ``paddle.logical_xor`` supports broadcasting. If you want know more about broadcasting, please refer to :ref:`user_guide_broadcasting`.

    Args:
        x (Tensor): the input tensor, it's data type should be one of bool, int8, int16, in32, in64, float32, float64.
        y (Tensor): the input tensor, it's data type should be one of bool, int8, int16, in32, in64, float32, float64.
        out(Tensor): The ``Tensor`` that specifies the output of the operator, which can be any ``Tensor`` that has been created in the program. The default value is None, and a new ``Tensor`` will be created to save the output.
        name (str, optional): Name for the operation (optional, default is None). For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        N-D Tensor. A location into which the result is stored. It's dimension equals with ``x``.

    Examples:
        .. code-block:: python

            import paddle
            import numpy as np

            x_data = np.array([True, False], dtype=np.bool).reshape([2, 1])
            y_data = np.array([True, False, True, False], dtype=np.bool).reshape([2, 2])
            x = paddle.to_tensor(x_data)
            y = paddle.to_tensor(y_data)
            res = paddle.logical_xor(x, y)
            print(res) # [[False,  True], [ True, False]]
    """
    if in_dygraph_mode():
        return _C_ops.final_state_logical_xor(x, y)

    return _logical_op(op_name="logical_xor",
                       x=x,
                       y=y,
                       name=name,
                       out=out,
                       binary_op=True)


@templatedoc()
def logical_not(x, out=None, name=None):
    """

    ``logical_not`` operator computes element-wise logical NOT on ``x``, and returns ``out``. ``out`` is N-dim boolean ``Variable``.
    Each element of ``out`` is calculated by

    .. math::

        out = !x

    Args:
        x(Tensor):  Operand of logical_not operator. Must be a Tensor of type bool, int8, int16, in32, in64, float32, or float64.
        out(Tensor): The ``Tensor`` that specifies the output of the operator, which can be any ``Tensor`` that has been created in the program. The default value is None, and a new ``Tensor` will be created to save the output.
        name(str|None): The default value is None. Normally there is no need for users to set this property. For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        Tensor: ${out_comment}

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([True, False, True, False])
            res = paddle.logical_not(x)
            print(res) # [False  True False  True]
    """
    if in_dygraph_mode():
        return _C_ops.final_state_logical_not(x)
    return _logical_op(op_name="logical_not",
                       x=x,
                       y=None,
                       name=name,
                       out=out,
                       binary_op=False)


def is_empty(x, name=None):
    """

    Test whether a Tensor is empty.

    Args:
        x (Tensor): The Tensor to be tested.
        name (str, optional): The default value is ``None`` . Normally users
                            don't have to set this parameter. For more information,
                            please refer to :ref:`api_guide_Name` .

    Returns:
        Tensor: A bool scalar Tensor. True if 'x' is an empty Tensor.

    Examples:
        .. code-block:: python

            import paddle

            input = paddle.rand(shape=[4, 32, 32], dtype='float32')
            res = paddle.is_empty(x=input)
            print("res:", res)
            # ('res:', Tensor: eager_tmp_1
            #    - place: CPUPlace
            #    - shape: [1]
            #    - layout: NCHW
            #    - dtype: bool
            #    - data: [0])

    """
    if in_dygraph_mode():
        return _C_ops.final_state_is_empty(x)
    if _in_legacy_dygraph():
        return _C_ops.is_empty(x)

    check_variable_and_dtype(x, 'x', ['float32', 'float64', 'int32', 'int64'],
                             'is_empty')
    check_type(name, "name", (str, type(None)), "is_empty")

    helper = LayerHelper("is_empty", **locals())
    cond = helper.create_variable_for_type_inference(dtype='bool')
    cond.stop_gradient = True
    helper.append_op(type='is_empty',
                     inputs={'X': [x]},
                     outputs={'Out': [cond]})
    return cond


def equal_all(x, y, name=None):
    """
    Returns the truth value of :math:`x == y`. True if two inputs have the same elements, False otherwise.

    Note: 
        The output has no gradient.

    Args:
        x(Tensor): Tensor, data type is bool, float32, float64, int32, int64.
        y(Tensor): Tensor, data type is bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        Tensor: output Tensor, data type is bool, value is [False] or [True].

    Examples:
        .. code-block:: python

          import paddle

          x = paddle.to_tensor([1, 2, 3])
          y = paddle.to_tensor([1, 2, 3])
          z = paddle.to_tensor([1, 4, 3])
          result1 = paddle.equal_all(x, y)
          print(result1) # result1 = [True ]
          result2 = paddle.equal_all(x, z)
          print(result2) # result2 = [False ]
    """
    if in_dygraph_mode():
        return _C_ops.final_state_equal_all(x, y)

    if paddle.in_dynamic_mode():
        return _C_ops.equal_all(x, y)

    helper = LayerHelper("equal_all", **locals())
    out = helper.create_variable_for_type_inference(dtype='bool')
    helper.append_op(type='equal_all',
                     inputs={
                         'X': [x],
                         'Y': [y]
                     },
                     outputs={'Out': [out]})
    return out


@templatedoc()
def allclose(x, y, rtol=1e-05, atol=1e-08, equal_nan=False, name=None):
    """
    ${comment}

    Args:
        x(Tensor): ${input_comment}.
        y(Tensor): ${other_comment}.
        rtol(rtoltype, optional): The relative tolerance. Default: :math:`1e-5` .
        atol(atoltype, optional): The absolute tolerance. Default: :math:`1e-8` .
        equal_nan(equalnantype, optional): ${equal_nan_comment}.
        name (str, optional): Name for the operation. For more information, please
            refer to :ref:`api_guide_Name`. Default: None.

    Returns:
        Tensor: ${out_comment}.

    Examples:
        .. code-block:: python

          import paddle

          x = paddle.to_tensor([10000., 1e-07])
          y = paddle.to_tensor([10000.1, 1e-08])
          result1 = paddle.allclose(x, y, rtol=1e-05, atol=1e-08,
                                  equal_nan=False, name="ignore_nan")
          np_result1 = result1.numpy()
          # [False]
          result2 = paddle.allclose(x, y, rtol=1e-05, atol=1e-08,
                                      equal_nan=True, name="equal_nan")
          np_result2 = result2.numpy()
          # [False]

          x = paddle.to_tensor([1.0, float('nan')])
          y = paddle.to_tensor([1.0, float('nan')])
          result1 = paddle.allclose(x, y, rtol=1e-05, atol=1e-08,
                                  equal_nan=False, name="ignore_nan")
          np_result1 = result1.numpy()
          # [False]
          result2 = paddle.allclose(x, y, rtol=1e-05, atol=1e-08,
                                      equal_nan=True, name="equal_nan")
          np_result2 = result2.numpy()
          # [True]
    """

    if in_dygraph_mode():
        # NOTE(dev): Pass tol as Tensor to fix precision loss problem, because
        # C++ backend will cast it into float32 if passing float from python.
        as_tensor = lambda x: paddle.to_tensor(
            [x], dtype='float64', place='cpu')
        return _C_ops.final_state_allclose(x, y, as_tensor(rtol),
                                           as_tensor(atol), equal_nan)
    if _in_legacy_dygraph():
        return _C_ops.allclose(x, y, 'rtol', str(rtol), 'atol', str(atol),
                               'equal_nan', equal_nan)
    check_variable_and_dtype(x, "input", ['float32', 'float64'], 'allclose')
    check_variable_and_dtype(y, "input", ['float32', 'float64'], 'allclose')
    check_type(rtol, 'rtol', float, 'allclose')
    check_type(atol, 'atol', float, 'allclose')
    check_type(equal_nan, 'equal_nan', bool, 'allclose')

    helper = LayerHelper("allclose", **locals())
    out = helper.create_variable_for_type_inference(dtype='bool')

    inputs = {'Input': x, 'Other': y}
    outputs = {'Out': out}
    attrs = {'rtol': str(rtol), 'atol': str(atol), 'equal_nan': equal_nan}
    helper.append_op(type='allclose',
                     inputs=inputs,
                     outputs=outputs,
                     attrs=attrs)

    return out


@templatedoc()
def equal(x, y, name=None):
    """

    This layer returns the truth value of :math:`x == y` elementwise.

    Note: 
        The output has no gradient.

    Args:
        x(Tensor): Tensor, data type is bool, float32, float64, int32, int64.
        y(Tensor): Tensor, data type is bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        Tensor: output Tensor, it's shape is the same as the input's Tensor,
        and the data type is bool. The result of this op is stop_gradient. 

    Examples:
        .. code-block:: python

          import paddle

          x = paddle.to_tensor([1, 2, 3])
          y = paddle.to_tensor([1, 3, 2])
          result1 = paddle.equal(x, y)
          print(result1)  # result1 = [True False False]
    """
    if not isinstance(y, (int, bool, float, Variable)):
        raise TypeError(
            "Type of input args must be float, bool, int or Tensor, but received type {}"
            .format(type(y)))
    if not isinstance(y, Variable):
        y = full(shape=[1], dtype=x.dtype, fill_value=y)

    if in_dygraph_mode():
        default_axis = -1
        return _C_ops.final_state_equal(x, y, default_axis)
    else:
        if _in_legacy_dygraph():
            return _C_ops.equal(x, y)
        else:
            check_variable_and_dtype(
                x, "x", ["bool", "float32", "float64", "int32", "int64"],
                "equal")
            check_variable_and_dtype(
                y, "y", ["bool", "float32", "float64", "int32", "int64"],
                "equal")
            helper = LayerHelper("equal", **locals())
            out = helper.create_variable_for_type_inference(dtype='bool')
            out.stop_gradient = True

            helper.append_op(type='equal',
                             inputs={
                                 'X': [x],
                                 'Y': [y]
                             },
                             outputs={'Out': [out]})
            return out


@templatedoc()
def greater_equal(x, y, name=None):
    """
    Returns the truth value of :math:`x >= y` elementwise, which is equivalent function to the overloaded operator `>=`.

    Note: 
        The output has no gradient.

    Args:
        x(Tensor): First input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        y(Tensor): Second input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.
    Returns:
        Tensor: The output shape is same as input :attr:`x`. The output data type is bool.

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([1, 2, 3])
            y = paddle.to_tensor([1, 3, 2])
            result1 = paddle.greater_equal(x, y)
            print(result1)  # result1 = [True False True]
    """
    if in_dygraph_mode():
        default_axis = -1
        return _C_ops.final_state_greater_equal(x, y, default_axis)
    else:
        if _in_legacy_dygraph():
            return _C_ops.greater_equal(x, y)
        else:
            check_variable_and_dtype(
                x, "x", ["bool", "float32", "float64", "int32", "int64"],
                "greater_equal")
            check_variable_and_dtype(
                y, "y", ["bool", "float32", "float64", "int32", "int64"],
                "greater_equal")
            helper = LayerHelper("greater_equal", **locals())
            out = helper.create_variable_for_type_inference(dtype='bool')
            out.stop_gradient = True

            helper.append_op(type='greater_equal',
                             inputs={
                                 'X': [x],
                                 'Y': [y]
                             },
                             outputs={'Out': [out]})
            return out


@templatedoc()
def greater_than(x, y, name=None):
    """
    Returns the truth value of :math:`x > y` elementwise, which is equivalent function to the overloaded operator `>`.

    Note: 
        The output has no gradient.

    Args:
        x(Tensor): First input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        y(Tensor): Second input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.
    Returns:
        Tensor: The output shape is same as input :attr:`x`. The output data type is bool.

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([1, 2, 3])
            y = paddle.to_tensor([1, 3, 2])
            result1 = paddle.greater_than(x, y)
            print(result1)  # result1 = [False False True]
    """
    if in_dygraph_mode():
        return _C_ops.final_state_greater_than(x, y, -1)
    else:
        if _in_legacy_dygraph():
            return _C_ops.greater_than(x, y)
        else:
            check_variable_and_dtype(
                x, "x", ["bool", "float32", "float64", "int32", "int64"],
                "greater_than")
            check_variable_and_dtype(
                y, "y", ["bool", "float32", "float64", "int32", "int64"],
                "greater_than")
            helper = LayerHelper("greater_than", **locals())
            out = helper.create_variable_for_type_inference(dtype='bool')
            out.stop_gradient = True

            helper.append_op(type='greater_than',
                             inputs={
                                 'X': [x],
                                 'Y': [y]
                             },
                             outputs={'Out': [out]})
            return out


@templatedoc()
def less_equal(x, y, name=None):
    """
    Returns the truth value of :math:`x <= y` elementwise, which is equivalent function to the overloaded operator `<=`.

    Note: 
        The output has no gradient.

    Args:
        x(Tensor): First input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        y(Tensor): Second input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        Tensor: The output shape is same as input :attr:`x`. The output data type is bool.

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([1, 2, 3])
            y = paddle.to_tensor([1, 3, 2])
            result1 = paddle.less_equal(x, y)
            print(result1)  # result1 = [True True False]
    """
    if in_dygraph_mode():
        axis = -1
        return _C_ops.final_state_less_equal(x, y, axis)
    else:
        if _in_legacy_dygraph():
            return _C_ops.less_equal(x, y)
        else:
            check_variable_and_dtype(
                x, "x", ["bool", "float32", "float64", "int32", "int64"],
                "less_equal")
            check_variable_and_dtype(
                y, "y", ["bool", "float32", "float64", "int32", "int64"],
                "less_equal")
            helper = LayerHelper("less_equal", **locals())
            out = helper.create_variable_for_type_inference(dtype='bool')
            out.stop_gradient = True

            helper.append_op(type='less_equal',
                             inputs={
                                 'X': [x],
                                 'Y': [y]
                             },
                             outputs={'Out': [out]})
            return out


@templatedoc()
def less_than(x, y, name=None):
    """
    Returns the truth value of :math:`x < y` elementwise, which is equivalent function to the overloaded operator `<`.

    Note: 
        The output has no gradient.

    Args:
        x(Tensor): First input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        y(Tensor): Second input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        Tensor: The output shape is same as input :attr:`x`. The output data type is bool.

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([1, 2, 3])
            y = paddle.to_tensor([1, 3, 2])
            result1 = paddle.less_than(x, y)
            print(result1)  # result1 = [False True False]
    """
    if in_dygraph_mode():
        default_axis = -1
        return _C_ops.final_state_less_than(x, y, default_axis)
    else:
        if _in_legacy_dygraph():
            return _C_ops.less_than(x, y)
        else:
            check_variable_and_dtype(
                x, "x", ["bool", "float32", "float64", "int32", "int64"],
                "less_than")
            check_variable_and_dtype(
                y, "y", ["bool", "float32", "float64", "int32", "int64"],
                "less_than")
            helper = LayerHelper("less_than", **locals())
            out = helper.create_variable_for_type_inference(dtype='bool')
            out.stop_gradient = True

            helper.append_op(type='less_than',
                             inputs={
                                 'X': [x],
                                 'Y': [y]
                             },
                             outputs={'Out': [out]})
            return out


@templatedoc()
def not_equal(x, y, name=None):
    """
    Returns the truth value of :math:`x != y` elementwise, which is equivalent function to the overloaded operator `!=`.
    
    Note: 
        The output has no gradient.

    Args:
        x(Tensor): First input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        y(Tensor): Second input to compare which is N-D tensor. The input data type should be bool, float32, float64, int32, int64.
        name(str, optional): The default value is None.  Normally there is no need for
            user to set this property.  For more information, please refer to :ref:`api_guide_Name`.

    Returns:
        Tensor: The output shape is same as input :attr:`x`. The output data type is bool.

    Examples:
        .. code-block:: python

            import paddle

            x = paddle.to_tensor([1, 2, 3])
            y = paddle.to_tensor([1, 3, 2])
            result1 = paddle.not_equal(x, y)
            print(result1)  # result1 = [False True True]
    """
    if in_dygraph_mode():
        axis = -1
        return _C_ops.final_state_not_equal(x, y, axis)
    else:
        if _in_legacy_dygraph():
            return _C_ops.not_equal(x, y)
        else:
            check_variable_and_dtype(
                x, "x", ["bool", "float32", "float64", "int32", "int64"],
                "not_equal")
            check_variable_and_dtype(
                y, "y", ["bool", "float32", "float64", "int32", "int64"],
                "not_equal")
            helper = LayerHelper("not_equal", **locals())
            out = helper.create_variable_for_type_inference(dtype='bool')
            out.stop_gradient = True

            helper.append_op(type='not_equal',
                             inputs={
                                 'X': [x],
                                 'Y': [y]
                             },
                             outputs={'Out': [out]})
            return out


def is_tensor(x):
    """

    Tests whether input object is a paddle.Tensor.

    Args:
        x (object): Object to test.

    Returns:
        A boolean value. True if ``x`` is a paddle.Tensor, otherwise False.

    Examples:
        .. code-block:: python

            import paddle

            input1 = paddle.rand(shape=[2, 3, 5], dtype='float32')
            check = paddle.is_tensor(input1)
            print(check)  #True

            input3 = [1, 4]
            check = paddle.is_tensor(input3)
            print(check)  #False
            
    """
    return isinstance(x, (Tensor, paddle.fluid.core.eager.Tensor))


def _bitwise_op(op_name, x, y, out=None, name=None, binary_op=True):
    if paddle.in_dynamic_mode():
        op = getattr(_C_ops, op_name)
        if binary_op:
            return op(x, y)
        else:
            return op(x)

    check_variable_and_dtype(
        x, "x", ["bool", "uint8", "int8", "int16", "int32", "int64"], op_name)
    if y is not None:
        check_variable_and_dtype(
            y, "y", ["bool", "uint8", "int8", "int16", "int32", "int64"],
            op_name)
    if out is not None:
        check_type(out, "out", Variable, op_name)

    helper = LayerHelper(op_name, **locals())
    if binary_op:
        assert x.dtype == y.dtype

    if out is None:
        out = helper.create_variable_for_type_inference(dtype=x.dtype)

    if binary_op:
        helper.append_op(type=op_name,
                         inputs={
                             "X": x,
                             "Y": y
                         },
                         outputs={"Out": out})
    else:
        helper.append_op(type=op_name, inputs={"X": x}, outputs={"Out": out})

    return out


@templatedoc()
def bitwise_and(x, y, out=None, name=None):
    """
    ${comment}
    
    Args:
        x (Tensor): ${x_comment}
        y (Tensor): ${y_comment}
        out(Tensor): ${out_comment}

    Returns:
        Tensor: ${out_comment}
        
    Examples:
        .. code-block:: python

            import paddle
            x = paddle.to_tensor([-5, -1, 1])
            y = paddle.to_tensor([4,  2, -3])
            res = paddle.bitwise_and(x, y)
            print(res)  # [0, 2, 1]
    """
    if in_dygraph_mode() and out is None:
        return _C_ops.final_state_bitwise_and(x, y)
    return _bitwise_op(op_name="bitwise_and",
                       x=x,
                       y=y,
                       name=name,
                       out=out,
                       binary_op=True)


@templatedoc()
def bitwise_or(x, y, out=None, name=None):
    """
    ${comment}
    
    Args:
        x (Tensor): ${x_comment}
        y (Tensor): ${y_comment}
        out(Tensor): ${out_comment}

    Returns:
        Tensor: ${out_comment}

    Examples:
        .. code-block:: python

            import paddle
            x = paddle.to_tensor([-5, -1, 1])
            y = paddle.to_tensor([4,  2, -3])
            res = paddle.bitwise_or(x, y)
            print(res)  # [-1, -1, -3]
    """
    if in_dygraph_mode() and out is None:
        return _C_ops.final_state_bitwise_or(x, y)

    return _bitwise_op(op_name="bitwise_or",
                       x=x,
                       y=y,
                       name=name,
                       out=out,
                       binary_op=True)


@templatedoc()
def bitwise_xor(x, y, out=None, name=None):
    """
    ${comment}

    Args:
        x (Tensor): ${x_comment}
        y (Tensor): ${y_comment}
        out(Tensor): ${out_comment}

    Returns:
        Tensor: ${out_comment}

    Examples:
        .. code-block:: python

            import paddle
            x = paddle.to_tensor([-5, -1, 1])
            y = paddle.to_tensor([4,  2, -3])
            res = paddle.bitwise_xor(x, y)
            print(res) # [-1, -3, -4]
    """
    if in_dygraph_mode() and out is None:
        return _C_ops.final_state_bitwise_xor(x, y)
    return _bitwise_op(op_name="bitwise_xor",
                       x=x,
                       y=y,
                       name=name,
                       out=out,
                       binary_op=True)


@templatedoc()
def bitwise_not(x, out=None, name=None):
    """
    ${comment}

    Args:
        x(Tensor):  ${x_comment}
        out(Tensor): ${out_comment}
    
    Returns:
        Tensor: ${out_comment}

    Examples:
        .. code-block:: python

            import paddle
            x = paddle.to_tensor([-5, -1, 1])
            res = paddle.bitwise_not(x)
            print(res) # [4, 0, -2]
    """
    if in_dygraph_mode() and out is None:
        return _C_ops.final_state_bitwise_not(x)

    return _bitwise_op(op_name="bitwise_not",
                       x=x,
                       y=None,
                       name=name,
                       out=out,
                       binary_op=False)


@templatedoc()
def isclose(x, y, rtol=1e-05, atol=1e-08, equal_nan=False, name=None):
    """
    ${comment}

    Args:
        x(Tensor): ${input_comment}.
        y(Tensor): ${other_comment}.
        rtol(rtoltype, optional): The relative tolerance. Default: :math:`1e-5` .
        atol(atoltype, optional): The absolute tolerance. Default: :math:`1e-8` .
        equal_nan(equalnantype, optional): ${equal_nan_comment}.
        name (str, optional): Name for the operation. For more information, please
            refer to :ref:`api_guide_Name`. Default: None.

    Returns:
        Tensor: ${out_comment}.

    Raises:
        TypeError: The data type of ``x`` must be one of float32, float64.
        TypeError: The data type of ``y`` must be one of float32, float64.
        TypeError: The type of ``rtol`` must be float.
        TypeError: The type of ``atol`` must be float.
        TypeError: The type of ``equal_nan`` must be bool.

    Examples:
        .. code-block:: python

          import paddle

          x = paddle.to_tensor([10000., 1e-07])
          y = paddle.to_tensor([10000.1, 1e-08])
          result1 = paddle.isclose(x, y, rtol=1e-05, atol=1e-08,
                                  equal_nan=False, name="ignore_nan")
          np_result1 = result1.numpy()
          # [True, False]
          result2 = paddle.isclose(x, y, rtol=1e-05, atol=1e-08,
                                      equal_nan=True, name="equal_nan")
          np_result2 = result2.numpy()
          # [True, False]

          x = paddle.to_tensor([1.0, float('nan')])
          y = paddle.to_tensor([1.0, float('nan')])
          result1 = paddle.isclose(x, y, rtol=1e-05, atol=1e-08,
                                  equal_nan=False, name="ignore_nan")
          np_result1 = result1.numpy()
          # [True, False]
          result2 = paddle.isclose(x, y, rtol=1e-05, atol=1e-08,
                                      equal_nan=True, name="equal_nan")
          np_result2 = result2.numpy()
          # [True, True]
    """

    if in_dygraph_mode():
        # NOTE(dev): Pass tol as Tensor to fix precision loss problem, because
        # C++ backend will cast it into float32 if passing float from python.
        as_tensor = lambda x: paddle.to_tensor(
            [x], dtype='float64', place='cpu')
        return _C_ops.final_state_isclose(x, y, as_tensor(rtol),
                                          as_tensor(atol), equal_nan)
    if _in_legacy_dygraph():
        return _C_ops.isclose(x, y, 'rtol', str(rtol), 'atol', str(atol),
                              'equal_nan', equal_nan)

    check_variable_and_dtype(x, "input", ['float32', 'float64'], 'isclose')
    check_variable_and_dtype(y, "input", ['float32', 'float64'], 'isclose')
    check_type(rtol, 'rtol', float, 'isclose')
    check_type(atol, 'atol', float, 'isclose')
    check_type(equal_nan, 'equal_nan', bool, 'isclose')

    helper = LayerHelper("isclose", **locals())
    out = helper.create_variable_for_type_inference(dtype='bool')

    inputs = {'Input': x, 'Other': y}
    outputs = {'Out': out}
    attrs = {'rtol': str(rtol), 'atol': str(atol), 'equal_nan': equal_nan}
    helper.append_op(type='isclose',
                     inputs=inputs,
                     outputs=outputs,
                     attrs=attrs)
    return out