manipulation.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.

from __future__ import print_function

from ..fluid.layers import core, reshape
from ..fluid.layer_helper import LayerHelper
from ..fluid.framework import Variable, OpProtoHolder, in_dygraph_mode, convert_np_dtype_to_dtype_
from ..fluid.data_feeder import convert_dtype, check_variable_and_dtype, check_type, check_dtype
from ..fluid.layers.tensor import fill_constant
from ..fluid.layers import utils
import numpy as np
# TODO: define functions to manipulate a tensor  
from ..fluid.layers import cast  #DEFINE_ALIAS
from ..fluid.layers import expand_as  #DEFINE_ALIAS
from ..fluid.layers import reshape  #DEFINE_ALIAS
from ..fluid.layers import scatter  #DEFINE_ALIAS
from ..fluid.layers import slice  #DEFINE_ALIAS
from ..fluid.layers import strided_slice  #DEFINE_ALIAS
from ..fluid.layers import transpose  #DEFINE_ALIAS
from ..fluid.layers import unique  #DEFINE_ALIAS
from ..fluid.layers import unstack  #DEFINE_ALIAS

from ..fluid.layers import gather_nd  #DEFINE_ALIAS
from ..fluid.layers import scatter_nd_add  #DEFINE_ALIAS
from ..fluid.layers import scatter_nd  #DEFINE_ALIAS
from ..fluid.layers import shard_index  #DEFINE_ALIAS
from ..fluid.layers import unique_with_counts  #DEFINE_ALIAS
from ..fluid import layers
import paddle

__all__ = [
    'cast',
    'concat',
    'expand',
    'expand_as',
    'flatten',
    'gather',
    'gather_nd',
    'reshape',
    'reverse',
    'scatter',
    'scatter_nd_add',
    'scatter_nd',
    'shard_index',
    'slice',
    'split',
    'squeeze',
    'stack',
    'strided_slice',
    'transpose',
    'unique',
    'unique_with_counts',
    'unsqueeze',
    'unstack',
    'flip',
    'unbind',
    'roll',
    'tile',
]


def concat(x, axis=0, name=None):
    """
	:alias_main: paddle.concat
	:alias: paddle.tensor.concat, paddle.tensor.manipulation.concat

    This OP concatenates the input along the axis.

    Args:
        x(list|tuple): ``x`` is a Tensor list or Tensor tuple which is with data type bool, float16, 
            float32, float64, int32, int64. All the Tensors in ``x`` must have same data type.
        axis(int|Tensor, optional): Specify the axis to operate on the input Tensors.
            It's a scalar with data type int or a Tensor with shape [1] and data type int32 
            or int64. The effective range is [-R, R), where R is Rank(x). When ``axis < 0``,
            it works the same way as ``axis+R``. Default is 0.
        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`.
    Raises:
        TypeError: ``x`` must be list or tuple.
        TypeError: The data type of ``x`` must be one of bool, float16, float32, float64, int32 and int64. 
        TypeError: The ``axis`` must be int or Tensor. The dtype of ``axis`` must be int32 or int64 when it's a Tensor.
        TypeError: All the Tensors in ``x`` must have the same data type.

    Returns:
        Tensor: A Tensor with the same data type as ``x``.

    Examples:
        .. code-block:: python
            
            import paddle
            import numpy as np
            
            paddle.disable_static()  # Now we are in imperative mode
            in1 = np.array([[1, 2, 3],
                            [4, 5, 6]])
            in2 = np.array([[11, 12, 13],
                            [14, 15, 16]])
            in3 = np.array([[21, 22],
                            [23, 24]])
            x1 = paddle.to_variable(in1)
            x2 = paddle.to_variable(in2)
            x3 = paddle.to_variable(in3)
            zero = paddle.full(shape=[1], dtype='int32', fill_value=0)
            # When the axis is negative, the real axis is (axis + Rank(x))
            # As follow, axis is -1, Rank(x) is 2, the real axis is 1
            out1 = paddle.concat(x=[x1, x2, x3], axis=-1)
            out2 = paddle.concat(x=[x1, x2], axis=0)
            out3 = paddle.concat(x=[x1, x2], axis=zero)
            # out1
            # [[ 1  2  3 11 12 13 21 22]
            #  [ 4  5  6 14 15 16 23 24]]
            # out2 out3
            # [[ 1  2  3]
            #  [ 4  5  6]
            #  [11 12 13]
            #  [14 15 16]]
    """
    check_type(x, 'x', (list, tuple), 'concat')
    return paddle.fluid.layers.concat(input=x, axis=axis, name=name)


def flip(x, axis, name=None):
    """
	:alias_main: paddle.flip
	:alias: paddle.flip,paddle.tensor.flip,paddle.tensor.manipulation.flip


    Reverse the order of a n-D tensor along given axis in axis.

    Args:
        x (Variable): A Tensor(or LoDTensor) with shape :math:`[N_1, N_2,..., N_k]` . The data type of the input Tensor x
            should be float32, float64, int32, int64, bool.
        axis (list): The axis(axes) to flip on. Negative indices for indexing from the end are accepted.
        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:
        Variable: Tensor or LoDTensor calculated by flip layer. The data type is same with input x.

    Examples:
        .. code-block:: python

          import paddle
          import numpy as np

          paddle.disable_static()

          image_shape=(3, 2, 2)
          x = np.arange(image_shape[0] * image_shape[1] * image_shape[2]).reshape(image_shape)
          x = x.astype('float32')
          img = paddle.to_variable(x)
          out = paddle.flip(img, [0,1])

          print(out) # [[[10,11][8, 9]],[[6, 7],[4, 5]] [[2, 3],[0, 1]]]
    """
    helper = LayerHelper("flip", **locals())
    check_type(x, 'X', (Variable), 'flip')
    dtype = helper.input_dtype('x')
    check_dtype(dtype, 'X',
                ['float16', 'float32', 'float64', 'int32', 'int64', 'bool'],
                'flip')
    check_type(axis, 'axis', (list, tuple), 'flip')
    if name is None:
        out = helper.create_variable_for_type_inference(dtype)
    else:
        out = helper.create_variable(name=name, dtype=dtype, persistable=False)

    helper.append_op(
        type="flip",
        inputs={"X": x},
        outputs={"Out": out},
        attrs={"axis": axis})
    return out


reverse = flip  #DEFINE_ALIAS


def flatten(x, start_axis=0, stop_axis=-1, name=None):
    """
    **Flatten op**

    Flattens a contiguous range of axes in a tensor according to start_axis and stop_axis.

    For Example:

    .. code-block:: text

        Case 1:

          Given
            X.shape = (3, 100, 100, 4)

          and
            start_axis = 1
            end_axis = 2

          We get:
            Out.shape = (3, 1000 * 100, 2)

        Case 2:

          Given
            X.shape = (3, 100, 100, 4)

          and
            start_axis = 0
            stop_axis = -1

          We get:
            Out.shape = (3 * 100 * 100 * 4)

    Args:
        x (Variable): A tensor of number of dimentions >= axis. A tensor with data type float32,
                      float64, int8, int32, int64.
        start_axis (int): the start axis to flatten
        stop_axis (int): the stop axis to flatten
        name(str, Optional): For details, please refer to :ref:`api_guide_Name`.
                        Generally, no setting is required. Default: None.

    Returns:
        Variable: A tensor with the contents of the input tensor, with input \
                  axes flattened by indicated start axis and end axis. \
                  A Tensor with data type same as input x.

    Raises:
        ValueError: If x is not a Variable.
        ValueError: If start_axis or stop_axis is illegal.

    Examples:

        .. code-block:: python

            import paddle
            import numpy as np

            paddle.disable_static()

            image_shape=(2, 3, 4, 4)
            x = np.arange(image_shape[0] * image_shape[1] * image_shape[2] * image_shape[3]).reshape(image_shape) / 100.
            x = x.astype('float32')
            
            img = paddle.to_variable(x)
            out = paddle.flatten(img, start_axis=1, stop_axis=2)
            # out shape is [2, 12, 4]
    """
    if not (isinstance(x, Variable)):
        raise ValueError("The input x should be a Variable")

    check_variable_and_dtype(
        x, 'x', ['float32', 'float64', 'int8', 'int32', 'int64'], 'flatten')
    helper = LayerHelper('flatten', **locals())

    x_dim = len(x.shape)
    if not (isinstance(start_axis, int)) or (
            start_axis > x_dim - 1) or start_axis < -x_dim:
        raise ValueError(
            "The start_axis should be a int, and in range [-rank(x), rank(x))")
    if not (isinstance(stop_axis, int)) or (
            stop_axis > x_dim - 1) or stop_axis < -x_dim:
        raise ValueError(
            "The stop_axis should be a int, and in range [-rank(x), rank(x))")
    if start_axis < 0:
        start_axis = start_axis + x_dim
    if stop_axis < 0:
        stop_axis = stop_axis + x_dim
    if start_axis > stop_axis:
        raise ValueError("The stop_axis should be larger than stat_axis")

    if in_dygraph_mode():
        dy_out, _ = core.ops.flatten_contiguous_range(
            x, 'start_axis', start_axis, 'stop_axis', stop_axis)
        return dy_out

    out = helper.create_variable_for_type_inference(x.dtype)
    x_shape = helper.create_variable_for_type_inference(x.dtype)
    helper.append_op(
        type='flatten_contiguous_range',
        inputs={"X": x},
        outputs={'Out': out,
                 'XShape': x_shape},
        attrs={"start_axis": start_axis,
               "stop_axis": stop_axis})
    return out


def roll(x, shifts, axis=None, name=None):
    """
	:alias_main: paddle.roll
	:alias: paddle.roll,paddle.tensor.roll,paddle.tensor.manipulation.roll

    Roll the `x` tensor along the given axis(axes). With specific 'shifts', Elements that 
    roll beyond the last position are re-introduced at the first according to 'shifts'. 
    If a axis is not specified, 
    the tensor will be flattened before rolling and then restored to the original shape.

    Args:
        x (Variable): The x tensor variable as input.
        shifts (int|list|tuple): The number of places by which the elements
                           of the `x` tensor are shifted.
        axis (int|list|tuple|None): axis(axes) along which to roll.

    Returns:
        Variable: A Tensor with same data type as `x`.

    Examples:
        .. code-block:: python
            import numpy as np
            import paddle
            import paddle.fluid as fluid

            data = np.array([[1.0, 2.0, 3.0],
                             [4.0, 5.0, 6.0],
                             [7.0, 8.0, 9.0]])
            paddle.disable_static()
            x = paddle.to_variable(data)
            out_z1 = paddle.roll(x, shifts=1)
            print(out_z1.numpy())
            #[[9. 1. 2.]
            # [3. 4. 5.]
            # [6. 7. 8.]]
            out_z2 = paddle.roll(x, shifts=1, axis=0)
            print(out_z2.numpy())
            #[[7. 8. 9.]
            # [1. 2. 3.]
            # [4. 5. 6.]]
    """
    helper = LayerHelper("roll", **locals())
    origin_shape = x.shape
    if type(shifts) == int:
        shifts = [shifts]
    if type(axis) == int:
        axis = [axis]

    len_origin_shape = len(origin_shape)
    if axis:
        for i in range(len(axis)):
            if axis[i] >= len_origin_shape or axis[i] < -len_origin_shape:
                raise ValueError(
                    "axis is out of range, it should be in range [{}, {}), but received {}".
                    format(-len_origin_shape, len_origin_shape, axis))

    if axis:
        check_type(axis, 'axis', (list, tuple), 'roll')
    check_type(shifts, 'shifts', (list, tuple), 'roll')

    if in_dygraph_mode():
        if axis is None:
            x = core.ops.reshape(x, 'shape', [-1, 1])
            axis = [0]
        out = core.ops.roll(x, 'axis', axis, 'shifts', shifts)
        return core.ops.reshape(out, 'shape', origin_shape)

    out = helper.create_variable_for_type_inference(x.dtype)

    if axis is None:
        x = reshape(x, shape=[-1, 1])
        axis = [0]

    helper.append_op(
        type='roll',
        inputs={'X': x},
        outputs={'Out': out},
        attrs={'axis': axis,
               'shifts': shifts})
    out = reshape(out, shape=origin_shape, inplace=True)
    return out


def stack(x, axis=0, name=None):
    """
	:alias_main: paddle.stack
	:alias: paddle.stack, paddle.tensor.stack, paddle.tensor.manipulation.stack

    This OP stacks all the input tensors ``x`` along ``axis`` dimemsion. 
    All tensors must be of the same shape and same dtype.
    
    For example, given N tensors of shape [A, B], if ``axis == 0``, the shape of stacked 
    tensor is [N, A, B]; if ``axis == 1``, the shape of stacked 
    tensor is [A, N, B], etc.
    

    .. code-block:: text

        Case 1:

          Input:
            x[0].shape = [1, 2]
            x[0].data = [ [1.0 , 2.0 ] ]
            x[1].shape = [1, 2]
            x[1].data = [ [3.0 , 4.0 ] ]
            x[2].shape = [1, 2]
            x[2].data = [ [5.0 , 6.0 ] ]

          Attrs:
            axis = 0

          Output:
            Out.dims = [3, 1, 2]
            Out.data =[ [ [1.0, 2.0] ],
                        [ [3.0, 4.0] ],
                        [ [5.0, 6.0] ] ]


        Case 2:

          Input:
            x[0].shape = [1, 2]
            x[0].data = [ [1.0 , 2.0 ] ]
            x[1].shape = [1, 2]
            x[1].data = [ [3.0 , 4.0 ] ]
            x[2].shape = [1, 2]
            x[2].data = [ [5.0 , 6.0 ] ]


          Attrs:
            axis = 1 or axis = -2  # If axis = -2, axis = axis+ndim(x[0])+1 = -2+2+1 = 1.

          Output:
            Out.shape = [1, 3, 2]
            Out.data =[ [ [1.0, 2.0]
                          [3.0, 4.0]
                          [5.0, 6.0] ] ]

    Args:
        x (Tensor|list[Tensor]): Input ``x`` can be a single tensor, or a ``list`` of tensors.
                                     If ``x`` is a ``list``, the Tensors in ``x``
                                     must be of the same shape and dtype. Supported data types: float32, float64, int32, int64.
        axis (int, optional): The axis along which all inputs are stacked. ``axis`` range is ``[-(R+1), R+1)``,
                              where ``R`` is the number of dimensions of the first input tensor ``x[0]``. 
                              If ``axis < 0``, ``axis = axis+R+1``. The default value of axis is 0.
        name (str, optional): Please refer to :ref:`api_guide_Name`, Default None.
        
    Returns:
        Tensor: The stacked tensor with same data type as input.

    Example:    
        .. code-block:: python

            import paddle
            import numpy as np

            data1 = np.array([[1.0, 2.0]])
            data2 = np.array([[3.0, 4.0]])
            data3 = np.array([[5.0, 6.0]])

            paddle.disable_static()
            x1 = paddle.to_variable(data1)
            x2 = paddle.to_variable(data2)
            x3 = paddle.to_variable(data3)

            out = paddle.stack([x1, x2, x3], axis=0)
            print(out.shape)  # [3, 1, 2]
            print(out.numpy())
            # [[[1., 2.]],
            #  [[3., 4.]],
            #  [[5., 6.]]]
    """
    return layers.stack(x, axis, name)


def split(x, num_or_sections, axis=0, name=None):
    """
	:alias_main: paddle.split
        :alias: paddle.tensor.split, paddle.tensor.manipulation.split
    
    Split the input tensor into multiple sub-Tensors.
    
    Args:
        x (Tensor): A N-D Tensor. The data type is bool, float16, float32, float64, int32 or int64.
        num_or_sections (int|list|tuple): If ``num_or_sections`` is an int, then ``num_or_sections`` 
            indicates the number of equal sized sub-Tensors that the ``x`` will be divided into.
            If ``num_or_sections`` is a list or tuple, the length of it indicates the number of
            sub-Tensors and the elements in it indicate the sizes of sub-Tensors'  dimension orderly.
            The length of the list must not  be larger than the ``x`` 's size of specified ``axis``.
        axis (int|Tensor, optional): The axis along which to split, it can be a scalar with type 
            ``int`` or a ``Tensor`` with shape [1] and data type  ``int32`` or ``int64``.
            If :math::`axis < 0`, the axis to split along is :math:`rank(x) + axis`. Default is 0.
        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:
        list(Tensor): The list of segmented Tensors.
    Raises:
        TypeError: The data type of ``x`` must be one of bool, float16, float32, float64, int32, int64.
        TypeError: ``num_or_sections`` is not int, list or tuple.
        TypeError: ``axis`` is not int or Tensor. the data type of ``axis`` must be int32 or int64 when it's a Tensor.
    Example:
        .. code-block:: python
            
            import numpy as np
            import paddle
            
            paddle.disable_static()
            # x is a Tensor which shape is [3, 9, 5]
            x_np = np.random.random([3, 9, 5]).astype("int32")
            x = paddle.to_variable(x_np)

            out0, out1, out22 = paddle.split(x, num_or_sections=3, axis=1)
            # out0.shape [3, 3, 5]
            # out1.shape [3, 3, 5]
            # out2.shape [3, 3, 5]

            out0, out1, out2 = paddle.split(x, num_or_sections=[2, 3, 4], axis=1)
            # out0.shape [3, 2, 5]
            # out1.shape [3, 3, 5]
            # out2.shape [3, 4, 5]

            out0, out1, out2 = paddle.split(x, num_or_sections=[2, 3, -1], axis=1)
            # out0.shape [3, 2, 5]
            # out1.shape [3, 3, 5]
            # out2.shape [3, 4, 5]
            
            # axis is negative, the real axis is (rank(x) + axis) which real
            # value is 1.
            out0, out1, out2 = paddle.split(x, num_or_sections=3, axis=-2)
            # out0.shape [3, 3, 5]
            # out1.shape [3, 3, 5]
            # out2.shape [3, 3, 5]
    """
    return paddle.fluid.layers.split(
        input=x, num_or_sections=num_or_sections, dim=axis, name=name)


def squeeze(x, axis=None, name=None):
    """
	:alias_main: paddle.squeeze
	:alias: paddle.squeeze, paddle.tensor.squeeze, paddle.tensor.manipulation.squeeze

    This OP will squeeze the dimension(s) of size 1 of input tensor x's shape. 

    If axis is provided, it will remove the dimension(s) by given axis that of size 1. 
    If the dimension of given axis is not of size 1, the dimension remain unchanged. 
    If axis is not provided, all dims equal of size 1 will be removed.

    .. code-block:: text

        Case1:

          Input:
            x.shape = [1, 3, 1, 5]  # If axis is not provided, all dims equal of size 1 will be removed.
            axis = None
          Output:
            out.shape = [3, 5]

        Case2:

          Input:
            x.shape = [1, 3, 1, 5]  # If axis is provided, it will remove the dimension(s) by given axis that of size 1.
            axis = 0
          Output:
            out.shape = [3, 1, 5]
        
        Case4:

          Input:
            x.shape = [1, 3, 1, 5]  # If the dimension of one given axis (3) is not of size 1, the dimension remain unchanged. 
            axis = [0, 2, 3]
          Output:
            out.shape = [3, 5]

        Case4:

          Input:
            x.shape = [1, 3, 1, 5]  # If axis is negative, axis = axis + ndim (number of dimensions in x). 
            axis = [-2]
          Output:
            out.shape = [1, 3, 5]

    Args:
        x (Tensor): The input Tensor. Supported data type: float32, float64, bool, int8, int32, int64.
        axis (int|list|tuple, optional): An integer or list of integers, indicating the dimensions to be squeezed. Default is None.
                          The range of axis is :math:`[-ndim(x), ndim(x))`.
                          If axis is negative, :math:`axis = axis + ndim(x)`.
                          If axis is None, all the dimensions of x of size 1 will be removed.
        name (str, optional): Please refer to :ref:`api_guide_Name`, Default None.

    Returns:
        Tensor: Squeezed Tensor with the same data type as input Tensor.

    Examples:
        .. code-block:: python

            import paddle

            paddle.disable_static()
            
            x = paddle.rand([5, 1, 10])
            output = paddle.squeeze(x, axis=1)
            # output.shape [5, 10]

    """
    if axis is None:
        axis = []
    elif isinstance(axis, int):
        axis = [axis]
    elif isinstance(axis, tuple):
        axis = list(axis)

    return layers.squeeze(x, axis, name)


def unsqueeze(x, axis, name=None):
    """
	:alias_main: paddle.unsqueeze
	:alias: paddle.unsqueeze, paddle.tensor.unsqueeze, paddle.tensor.manipulation.unsqueeze

    Insert single-dimensional entries to the shape of input Tensor ``x``. Takes one
    required argument axis, a dimension or list of dimensions that will be inserted.
    Dimension indices in axis are as seen in the output tensor.

    Args:
        x (Tensor): The input Tensor to be unsqueezed. Supported data type: float32, float64, bool, int8, int32, int64.
        axis (int|list|tuple|Tensor): Indicates the dimensions to be inserted. The data type is ``int32`` . 
                                    If ``axis`` is a list or tuple, the elements of it should be integers or Tensors with shape [1]. 
                                    If ``axis`` is a Tensor, it should be an 1-D Tensor .
                                    If ``axis`` is negative, ``axis = axis + ndim(x) + 1``.
        name (str|None): Name for this layer. Please refer to :ref:`api_guide_Name`, Default None.

    Returns:
        Tensor: Unsqueezed Tensor with the same data type as input Tensor.

    Examples:
        .. code-block:: python

            import paddle

            paddle.disable_static()
            x = paddle.rand([5, 10])
            print(x.shape)  # [5, 10]
            
            out1 = paddle.unsqueeze(x, axis=0)
            print(out1.shape)  # [1, 5, 10]
            
            out2 = paddle.unsqueeze(x, axis=[0, 2]) 
            print(out2.shape)  # [1, 5, 1, 10]

            axis = paddle.fluid.dygraph.to_variable([0, 1, 2])
            out3 = paddle.unsqueeze(x, axis=axis) 
            print(out3.shape)  # [1, 1, 1, 5, 10]
            
    """
    if isinstance(axis, int):
        axis = [axis]

    return layers.unsqueeze(x, axis, name)


def gather(input, index, overwrite=True):
    """
	:alias_main: paddle.gather
	:alias: paddle.gather,paddle.tensor.gather,paddle.tensor.manipulation.gather

    **Gather Layer**

    Output is obtained by gathering entries of the outer-most dimension
    of X indexed by `index` and concatenate them together.

    .. math::

        Out = X[Index]


    .. code-block:: text


                Given:

                X = [[1, 2],
                     [3, 4],
                     [5, 6]]

                Index = [1, 2]

                Then:

                Out = [[3, 4],
                       [5, 6]]
    Args:
        input (Variable): The source input tensor with rank>=1. Supported data type is
            int32, int64, float32, float64 and uint8 (only for CPU),
            float16 (only for GPU).
        index (Variable): The index input tensor with rank=1. Data type is int32 or int64.
        overwrite (bool, optional): The mode that updating the grad when has same index.
            If True, use the overwrite mode to update the grad of the same index,
            if False, use the accumulate mode to update the grad of the same index.
            Default value is True.



    Returns:
        output (Variable): The output is a tensor with the same rank as input.

    Examples:

        .. code-block:: python

            import numpy as np
            import paddle
            import paddle.fluid as fluid


            with fluid.dygraph.guard():
                input_1 = np.array([[1,2],[3,4],[5,6]])
                index_1 = np.array([0,1])
                input = fluid.dygraph.to_variable(input_1)
                index = fluid.dygraph.to_variable(index_1)
                output = paddle.gather(input, index)
                # expected output: [[1,2],[3,4]]
    """
    helper = LayerHelper('gather', **locals())
    dtype = helper.input_dtype()
    out = helper.create_variable_for_type_inference(dtype)
    helper.append_op(
        type="gather",
        inputs={"X": input,
                "Index": index},
        outputs={"Out": out},
        attrs={'overwrite': overwrite})
    return out


def unbind(input, axis=0):
    """
	:alias_main: paddle.tensor.unbind
	:alias: paddle.tensor.unbind,paddle.tensor.manipulation.unbind

    Removes a tensor dimension, then split the input tensor into multiple sub-Tensors.
    Args:
        input (Variable): The input variable which is an N-D Tensor, data type being float32, float64, int32 or int64.
       
        axis (int32|int64, optional): A scalar with type ``int32|int64`` shape [1]. The dimension along which to unbind. If :math:`axis < 0`, the
            dimension to unbind along is :math:`rank(input) + axis`. Default is 0.
    Returns:
        list(Variable): The list of segmented Tensor variables.

    Example:
        .. code-block:: python
            import paddle
            # input is a variable which shape is [3, 4, 5]
            input = paddle.fluid.data(
                 name="input", shape=[3, 4, 5], dtype="float32")
            [x0, x1, x2] = paddle.tensor.unbind(input, axis=0)
            # x0.shape [4, 5]
            # x1.shape [4, 5]
            # x2.shape [4, 5]
            [x0, x1, x2, x3] = paddle.tensor.unbind(input, axis=1)
            # x0.shape [3, 5]
            # x1.shape [3, 5]
            # x2.shape [3, 5]
            # x3.shape [3, 5]

    """
    helper = LayerHelper("unbind", **locals())
    check_type(input, 'input', (Variable), 'unbind')
    dtype = helper.input_dtype()
    check_dtype(dtype, 'unbind', ['float32', 'float64', 'int32', 'int64'],
                'unbind')
    if not isinstance(axis, (int)):
        raise TypeError("The type of 'axis'  must be int, but received %s." %
                        (type(axis)))
    if isinstance(axis, np.generic):
        axis = np.asscalar(axis)
    input_shape = input.shape
    axis_ = axis if axis >= 0 else len(input_shape) + axis
    num = input_shape[axis_]
    outs = [
        helper.create_variable_for_type_inference(dtype=helper.input_dtype())
        for i in range(num)
    ]

    helper.append_op(
        type="unbind",
        inputs={"X": input},
        outputs={"Out": outs},
        attrs={"axis": axis})
    return outs


def tile(x, repeat_times, name=None):
    """
    :alias_main: paddle.tile
	:alias: paddle.tile,paddle.tensor.tile,paddle.tensor.manipulation.tile
    Construct a new tensor by repeating ``x`` the number of times given by the parameter ``repeat_times``.
    The rank of ``x`` should be less than or equal to 6, and the size of the shape of ``repeat_times`` should
    be less than or equal to 6.
    If the size of the parameter ``repeat_times`` is ``d``, and the rank for ``x`` is ``r``, then the number
    of dimensions for the result is ``max(d, r)``.
    If ``r < d``, ``x`` if first promoted to a d-dimensional tensor by inserting new axes at the beginning.
    For example, a tensor ``x`` with the shape(3,) is promoted to a 2-D tensor with the shape (1, 3) if ``d`` is 2
    and a 3-D tensor with the shape(1, 1, 3) if ``d`` is 3.
    If ``r > d``, ``repeat_times`` is first promoted by inserting 1's at the beginning.
    For example, if the tensor ``x`` is with a shape(4, 3, 2, 2) and ``repeat_times`` is a tuple (3, 2),
    ``repeat_times`` is first promoted to a tuple (1, 1, 3, 2).
    The following gives an using case:
    .. code-block:: text
        Input(x) is a 3-D tensor of shape (2, 3, 1):
                [
                   [[1], [2], [3]],
                   [[4], [5], [6]]
                ]
        Attr(repeat_times):  [1, 2, 2]
        Output(out) is a 3-D tensor of shape (2, 6, 2):
                [
                    [[1, 1], [2, 2], [3, 3], [1, 1], [2, 2], [3, 3]],
                    [[4, 4], [5, 5], [6, 6], [4, 4], [5, 5], [6, 6]]
                ]
    Args:
        x (Tensor): The input tensor, its data type should be bool, float32, float64, int32. The rank of ``x`` should be in [1, 6].
        repeat_times (Tensor|tuple|list): The number of repeating times for each dimension of the input ``x``. If repeat_times is a list or tuple, the elements of
                it should be integers or Tensors with shape [1]. If repeat_times is Tensor, it should be an 1-D Tensor. The size of its shape should be in [1, 6].
        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. The data type is the same as ``x``. After tiling, each dimension of the output is equal to the corresponding dimension of ``x`` multiplying the corresponding value given by ``repeat_times`` .
    Raises:
        TypeError: The type of ``repeat_times`` must be list, tuple or Tensor.
        ValueError: The elements of ``repeat_times`` cannot be negative.
    Examples:
        .. code-block:: python
            import paddle
            import numpy as np
            paddle.disable_static()
            # example 1:
            np_data_1 = np.array([1, 2, 3]).astype('int32')
            data_1 = paddle..to_variable(np_data_1)
            tiled_1 = paddle.tile(data_1, repeat_times=[2, 1])
            # [[1, 2, 3], [1, 2, 3]]
            # example 2:
            np_repeat_times = np.array([2, 1]).astype("int32")
            repeat_times = paddle.to_variable(np_repeat_times)
            tiled_2 = paddle.tile(data_1, repeat_times=repeat_times)
            # [[1, 2, 3], [1, 2, 3]]
    """
    if in_dygraph_mode():
        if isinstance(repeat_times, (list, tuple)):
            repeat_times = [
                item.numpy()[0] if isinstance(item, Variable) else item
                for item in repeat_times
            ]

            return core.ops.tile(x, 'repeat_times', repeat_times)

    inputs = {"X": [x]}
    attrs = {}
    check_variable_and_dtype(
        x, 'x', ['bool', 'float32', 'float64', 'int32', 'int64'], 'tile')
    check_type(repeat_times, 'repeat_times', (list, tuple, Variable), 'tile')
    if convert_dtype(x.dtype) == 'bool' and x.stop_gradient == True:
        raise ValueError(
            "When the date type is bool for the input 'x' of tile op, you "
            "must set its stop_gradient to be False by "
            "some_var.stop_gradient == True supporting some_var is the input.")

    helper = LayerHelper('tile', input=x, **locals())

    def get_attr_repeat_times(list_repeat_times):
        attrs_repeat_times = []
        for idx, times in enumerate(list_repeat_times):
            if isinstance(times, Variable):
                attrs_repeat_times.append(-1)
            else:
                attrs_repeat_times.append(times)
                assert times > 0, (
                    "Every element given in repeat_times must be positive.")
        return attrs_repeat_times

    if isinstance(repeat_times, Variable):
        repeat_times.stop_gradient = True
        inputs['RepeatTimes'] = repeat_times
        attrs['repeat_times'] = [-1] * len(repeat_times.shape)
    elif isinstance(repeat_times, (list, tuple)):
        attrs['repeat_times'] = get_attr_repeat_times(repeat_times)
        if utils._contain_var(repeat_times):
            inputs['repeat_times_tensor'] = utils._convert_to_tensor_list(
                repeat_times)

    dtype = helper.input_dtype(input_param_name='x')
    out = helper.create_variable_for_type_inference(dtype)
    helper.append_op(
        type='tile', inputs=inputs, outputs={'Out': out}, attrs=attrs)
    return out


def expand(x, shape, name=None):
    """
    :alias_main: paddle.expand
    :alias: paddle.expand,paddle.tensor.expand,paddle.tensor.manipulation.expand

    Expand the input tensor to a given shape.

    The rank of ``x`` should be less than or equal to 6, and the number of elements in ``shape`` should also be less than or equal to 6. The size of the dimension to expand must be 1. 


    Args:
        x (Tensor): The input Tensor with rank in [1, 6]. The data type is bool, float32, float64 or int32.
        shape (list|tuple|Tensor): The result shape after expanding. The data type is int32. If shape is a list or tuple, all elements of
                it should be integers or Tensors with shape (1,). If shape is a Tensor, it should be an 1-D Tensor. 
                The value -1 in shape, means keeping the corresponding dimension unchanged.
        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: A Tensor with the given shape. The data type is the same as ``x``.

    Raises:
        TypeError: The type of ``shape`` must be list, tuple or Variable.
        ValueError: The elements of ``shape`` must be positive or -1.

    Examples:
        .. code-block:: python

            import numpy as np
            import paddle
            paddle.disable_static()

            # example 1:
            np_data_1 = np.array([1, 2, 3]).astype=('int32)
            data_1 = paddle.to_variable(np_data_1)
            expanded_1 = paddle.expand(data_1, shape=[2, 3])
            # [[1, 2, 3], [1, 2, 3]]

            # example 2:
            np_shape = np.array([2, 3]).astype=('int32)
            shape = paddle.to_variable(np_shape)
            expanded_2 = paddle.expand(data_1, shape=shape)
            # [[1, 2, 3], [1, 2, 3]]
    """
    if in_dygraph_mode():
        if isinstance(shape, (list, tuple)):
            expand_shape = [
                item.numpy()[0] if isinstance(item, Variable) else item
                for item in shape
            ]

            return core.ops.expand_v2(x, 'shape', expand_shape)

    inputs = {"X": [x]}
    attrs = {}
    check_variable_and_dtype(
        x, 'x', ['bool', 'float32', 'float64', 'int32', 'int64'], 'expand')
    check_type(shape, 'shape', (list, tuple, Variable), 'expand')
    if convert_dtype(x.dtype) == 'bool' and x.stop_gradient == True:
        raise ValueError("When the data type of input 'x' for expand is bool, "
                         "you must set its stop_gradient to be False by "
                         " some_var.stop_gradient = False, supporting "
                         "some_var as the input.")

    helper = LayerHelper('expand', input=x, **locals())

    def get_attr_expand_shape(list_expand_shape):
        attrs_expand_shape = []
        for idx, shape in enumerate(list_expand_shape):
            if isinstance(shape, Variable):
                attrs_expand_shape.append(-1)
            else:
                attrs_expand_shape.append(shape)
                assert shape > 0 or shape == -1, (
                    "Every element in shape must be positive or -1.")
        return attrs_expand_shape

    if isinstance(shape, Variable):
        shape.stop_gradient = True
        inputs['Shape'] = shape
    elif isinstance(shape, (list, tuple)):
        attrs['shape'] = get_attr_expand_shape(shape)
        if utils._contain_var(shape):
            inputs['expand_shapes_tensor'] = utils._convert_to_tensor_list(
                shape)

    dtype = helper.input_dtype(input_param_name='x')
    out = helper.create_variable_for_type_inference(dtype)
    helper.append_op(
        type='expand_v2', inputs=inputs, outputs={'Out': out}, attrs=attrs)
    return out