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tensorflow / purelib / tensorflow / python / ops / ragged / ragged_array_ops.py
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# Copyright 2018 The TensorFlow 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.
# ==============================================================================
"""Array operations for RaggedTensors."""

from __future__ import absolute_import
from __future__ import division
from __future__ import print_function

from tensorflow.python.framework import dtypes
from tensorflow.python.framework import ops
from tensorflow.python.framework import tensor_util
from tensorflow.python.ops import array_ops
from tensorflow.python.ops import math_ops
from tensorflow.python.ops.ragged import ragged_functional_ops
from tensorflow.python.ops.ragged import ragged_math_ops
from tensorflow.python.ops.ragged import ragged_tensor
from tensorflow.python.ops.ragged import ragged_util
from tensorflow.python.ops.ragged import segment_id_ops
from tensorflow.python.util.tf_export import tf_export


#===============================================================================
# Masking
#===============================================================================


@tf_export('ragged.boolean_mask')
def boolean_mask(data, mask, name=None):
  """Applies a boolean mask to `data` without flattening the mask dimensions.

  Returns a potentially ragged tensor that is formed by retaining the elements
  in `data` where the corresponding value in `mask` is `True`.

  * `output[a1...aA, i, b1...bB] = data[a1...aA, j, b1...bB]`

     Where `j` is the `i`th `True` entry of `mask[a1...aA]`.

  Note that `output` preserves the mask dimensions `a1...aA`; this differs
  from `tf.boolean_mask`, which flattens those dimensions.

  Args:
    data: A potentially ragged tensor.
    mask: A potentially ragged boolean tensor.  `mask`'s shape must be a prefix
      of `data`'s shape.  `rank(mask)` must be known statically.
    name: A name prefix for the returned tensor (optional).

  Returns:
    A potentially ragged tensor that is formed by retaining the elements in
    `data` where the corresponding value in `mask` is `True`.

    * `rank(output) = rank(data)`.
    * `output.ragged_rank = max(data.ragged_rank, rank(mask) - 1)`.

  Raises:
    ValueError: if `rank(mask)` is not known statically; or if `mask.shape` is
      not a prefix of `data.shape`.

  #### Examples:
    ```python
    >>> # Aliases for True & False so data and mask line up.
    >>> T, F = (True, False)

    >>> tf.ragged.boolean_mask(  # Mask a 2D Tensor.
    ...     data=[[1, 2, 3], [4, 5, 6], [7, 8, 9]],
    ...     mask=[[T, F, T], [F, F, F], [T, F, F]]).tolist()
    [[1, 3], [], [7]]

    >>> tf.ragged.boolean_mask(  # Mask a 2D RaggedTensor.
    ...     tf.ragged.constant([[1, 2, 3], [4], [5, 6]]),
    ...     tf.ragged.constant([[F, F, T], [F], [T, T]])).tolist()
    [[3], [], [5, 6]]

    >>> tf.ragged.boolean_mask(  # Mask rows of a 2D RaggedTensor.
    ...     tf.ragged.constant([[1, 2, 3], [4], [5, 6]]),
    ...     tf.ragged.constant([True, False, True])).tolist()
    [[1, 2, 3], [5, 6]]
    ```
  """
  with ops.name_scope(name, 'RaggedMask', [data, mask]):
    # Convert inputs to tensors.
    data = ragged_tensor.convert_to_tensor_or_ragged_tensor(data, name='data')
    mask = ragged_tensor.convert_to_tensor_or_ragged_tensor(
        mask, dtypes.bool, name='mask')
    row_splits_dtype, (data, mask) = ragged_tensor.match_row_splits_dtypes(
        data, mask, return_dtype=True)

    # Get static rank of mask.
    if mask.shape.ndims is None:
      raise ValueError('mask.shape.ndims must be known statically.')
    elif mask.shape.ndims == 0:
      raise ValueError('mask cannot be scalar.')

    # If mask is ragged, then recurse with a non-ragged mask.
    if ragged_tensor.is_ragged(mask):
      if not ragged_tensor.is_ragged(data):
        data = ragged_tensor.RaggedTensor.from_tensor(
            data, ragged_rank=mask.ragged_rank,
            row_splits_dtype=mask.row_splits.dtype)
      # Check that mask.nested_row_splits is a prefix of
      # data.nested_row_splits.
      splits_list = [
          mask.nested_row_splits, data.nested_row_splits[:mask.ragged_rank]
      ]
      with ops.control_dependencies(
          ragged_util.assert_splits_match(splits_list)):
        # Strip off ragged `splits` until `mask` is non-ragged.  Keep the splits
        # that we strip off in `splits`, so we can add them back on after
        # we recursively mask the non-ragged data.
        splits = []
        while ragged_tensor.is_ragged(mask):
          if mask.shape.ndims > 2:
            splits.append(mask.row_splits)
          else:
            # Count the number of True mask values in each row to find the
            # lengths of the filtered rows; then convert to splits.
            int_mask = ragged_functional_ops.map_flat_values(
                math_ops.cast, mask, dtype=row_splits_dtype)
            masked_row_lengths = ragged_math_ops.reduce_sum(int_mask, axis=1)
            splits.append(ragged_util.lengths_to_splits(masked_row_lengths))
          mask = mask.values
          data = data.values

        # Recursively apply the nested non-ragged mask to the nested data.
        masked_values = boolean_mask(data, mask)

        # Add the ragged `splits` back to the result.
        masked_values = ragged_tensor.RaggedTensor.from_nested_row_splits(
            masked_values, splits, validate=False)

        return masked_values

    # If mask is non-ragged and has rank 1, and data is ragged, then build a
    # ragged tensor with the indicated rows.
    elif ragged_tensor.is_ragged(data) and mask.shape.ndims == 1:
      # Get the masked splits: first get the length of each row, then filter
      # out the rows that we are deleting, and convert that filtered set of
      # masks back to a splits tensor.
      lengths = data.row_lengths()
      masked_lengths = array_ops.boolean_mask(lengths, mask)
      masked_splits = ragged_util.lengths_to_splits(masked_lengths)

      # Get the masked values: first get row ids corresponding to each
      # value, then use tf.gather to build a boolean mask that's false for
      # values that come from rows that we are deleting, and use that mask to
      # construct the masked values tensor.
      segment_ids = segment_id_ops.row_splits_to_segment_ids(data.row_splits)
      segment_mask = array_ops.gather(mask, segment_ids)
      masked_values = boolean_mask(data.values, segment_mask)

      return ragged_tensor.RaggedTensor.from_row_splits(masked_values,
                                                        masked_splits,
                                                        validate=False)

    # If mask is non-ragged and has rank>1, then convert it to be ragged,
    # with a ragged rank matching data.
    if ragged_tensor.is_ragged(data):
      mask = ragged_tensor.RaggedTensor.from_tensor(
          mask, ragged_rank=min(data.ragged_rank, mask.shape.ndims - 1),
          row_splits_dtype=data.row_splits.dtype)
      return boolean_mask(data, mask)

    # Otherwise, data and mask are both `Tensor`s.
    else:
      # Apply `boolean_mask` to get the masked values.
      masked_values = array_ops.boolean_mask(data, mask)

      if mask.shape.ndims >= 2:
        # Add the innermost ragged dimension.  For each innermost cell, get the
        # number of values it contains.  Then flatten that to get a list of
        # cell lengths, and convert it to splits.  Finally, combine the splits
        # and values to get the innermost ragged tensor.
        masked_lengths = math_ops.count_nonzero(mask, axis=-1,
                                                dtype=row_splits_dtype)
        flattened_masked_lengths = array_ops.reshape(masked_lengths, [-1])
        masked_values = ragged_tensor.RaggedTensor.from_row_lengths(
            masked_values, flattened_masked_lengths, validate=False)

        # Wrap remaining ragged dimensions.
        if mask.shape.ndims > 2:
          mask_shape = array_ops.shape(mask, out_type=row_splits_dtype)
          split_size = math_ops.cumprod(mask_shape) + 1
          for dim in range(mask.shape.ndims - 3, -1, -1):
            elt_size = mask_shape[dim + 1]
            masked_splits = math_ops.range(split_size[dim]) * elt_size
            masked_values = ragged_tensor.RaggedTensor.from_row_splits(
                masked_values, masked_splits, validate=False)

      return masked_values


#===============================================================================
# Tiling
#===============================================================================
def tile(input, multiples, name=None):  # pylint: disable=redefined-builtin
  """Constructs a `RaggedTensor` by tiling a given `RaggedTensor`.

  The values of `input` are replicated `multiples[i]` times along the
  `i`th dimension (for each dimension `i`).  For every dimension `axis` in
  `input`, the length of each output element in that dimension is the
  length of corresponding input element multiplied by `multiples[axis]`.

  Args:
    input: A `RaggedTensor`.
    multiples: A 1-D integer `Tensor`.  Length must be the same as the number of
      dimensions in `input`.
    name: A name for the operation (optional).

  Returns:
    A `RaggedTensor` with the same type, rank, and ragged_rank as `input`.

  #### Example:
    ```python
    >>> rt = tf.ragged.constant([[1, 2], [3]])
    >>> ragged.tile(rt, [3, 2])
    [[1, 2, 1, 2], [3, 3], [1, 2, 1, 2], [3, 3], [1, 2, 1, 2], [3, 3]]
    ```
  """
  with ops.name_scope(name, 'RaggedTile', [input, multiples]):
    input = ragged_tensor.convert_to_tensor_or_ragged_tensor(
        input, name='input')
    if not ragged_tensor.is_ragged(input):
      return array_ops.tile(input, multiples, name)
    multiples = ragged_util.convert_to_int_tensor(
        multiples, name='multiples', dtype=input.row_splits.dtype)
    multiples.shape.assert_has_rank(1)

    # If the constant value of `multiples` is available, then we can use it
    # to skip tiling dimensions where `multiples=1`.
    const_multiples = tensor_util.constant_value(multiples)

    return ragged_tensor.RaggedTensor.from_nested_row_splits(
        _tile_ragged_values(input, multiples, const_multiples),
        _tile_ragged_splits(input, multiples, const_multiples),
        validate=False)


def _tile_ragged_values(rt_input, multiples, const_multiples=None):
  """Builds flat_values tensor for a tiled `RaggedTensor`.

  Returns a tensor that repeats the values in
  `rt_input.flat_values` in the
  appropriate pattern to construct a `RaggedTensor` that tiles `rt_input` as
  specified by `multiples`.

  Args:
    rt_input: The `RaggedTensor` whose values should be repeated.
    multiples: A 1-D integer `tensor`, indicating how many times each dimension
      should be repeated.
    const_multiples: Optional constant value for multiples.  Used to skip tiling
      dimensions where `multiples=1`.

  Returns:
    A `Tensor` with the same type and rank as `rt_input.flat_values`.

  #### Example:
    ```python
    >>> rt = tf.ragged.constant([[1, 2], [3]])
    >>> _tile_ragged_values(rt, [3, 2])
    [1, 2, 1, 2, 3, 3, 1, 2, 1, 2, 3, 3, 1, 2, 1, 2, 3, 3]
    ```
  """
  ragged_rank = rt_input.ragged_rank
  nested_splits = rt_input.nested_row_splits

  # Pointers to the values in `rt_input.flat_values`.
  inner_value_ids = math_ops.range(nested_splits[-1][-1])

  # For each ragged dimension (working from the innermost to outermost),
  # expand `inner_value_ids` as necessary to tile that dimension.
  prev_splits = None
  for axis in range(ragged_rank, 0, -1):
    # Ragged splits for this dimension.
    splits = nested_splits[axis - 1]

    # Adjust splits so they point into `inner_value_ids` (instead of just
    # pointing into the next dimension's values).
    if prev_splits is not None:  # Not the first pass through the loop.
      splits = array_ops.gather(prev_splits * multiples[axis + 1], splits)

    # Repeat each element in this ragged dimension `multiples[axis]` times.
    if const_multiples is None or const_multiples[axis] != 1:
      inner_value_ids = ragged_util.repeat_ranges(inner_value_ids, splits,
                                                  multiples[axis])

    prev_splits = splits

  # Gather the tiled inner values.
  ragged_tiled_values = array_ops.gather(rt_input.flat_values, inner_value_ids)

  # Tile the flat_values for the uniform dimensions (i.e., for `axis=0` plus
  # `axis=range(ragged_rank, rank)`).
  inner_repeats = array_ops.concat([multiples[:1], multiples[ragged_rank + 1:]],
                                   axis=0)
  return array_ops.tile(ragged_tiled_values, inner_repeats)


def _tile_ragged_splits(rt_input, multiples, const_multiples=None):
  """Builds nested_split tensors for a tiled `RaggedTensor`.

  Returns a list of split tensors that can be used to construct the
  `RaggedTensor` that tiles `rt_input` as specified by `multiples`.

  Args:
    rt_input: The `RaggedTensor` that is being tiled.
    multiples: A 1-D integer `tensor`, indicating how many times each dimension
      should be repeated.
    const_multiples: Optional constant value for multiples.  Used to skip tiling
      dimensions where `multiples=1`.

  Returns:
    A list of 1-D integer `Tensor`s (one for each ragged dimension in
    `rt_input`).

  #### Example:
    ```python
    >>> rt = tf.ragged.constant([[1, 2], [3]])
    >>> _tile_ragged_splits(rt, [3, 2])
    [0, 4, 6, 10, 12, 16, 18]
    ```
  """
  ragged_rank = rt_input.ragged_rank
  nested_splits = rt_input.nested_row_splits

  # projected_splits[src_axis, dst_axis] contains the split points that divide
  # the rows from src_axis in the list of dst_axis values.  E.g.,
  # projected_splits[i, i] = nested_splits[i], and
  # projected_splits[i, i+1] = gather(nested_splits[i+1], nested_splits[i]).
  projected_splits = [{i: nested_splits[i]} for i in range(ragged_rank)]
  for src_axis in range(ragged_rank):
    for dst_axis in range(src_axis + 1, ragged_rank - 1):
      projected_splits[src_axis][dst_axis] = array_ops.gather(
          nested_splits[dst_axis],
          projected_splits[src_axis][dst_axis - 1])

  # For each ragged dimension: nested_splits[axis] -> result_splits[axis].
  result_splits = []
  for axis in range(ragged_rank):
    # Get the length of each row for the input tensor for this dimension.
    input_lengths = nested_splits[axis][1:] - nested_splits[axis][:-1]

    # Multiply those lengths by the `multiples` of dimension axis+1, since
    # each value will be repeated that number of times.
    output_lengths = input_lengths * multiples[axis + 1]

    # Repeat ranges of the row lengths as necessary for them to be tiled in
    # each ragged dimension `d < axis`.  (Start with dimension d=axis-1, and
    # work our way up to dimension d=0.)
    repeats = 1
    for d in range(axis - 1, -1, -1):
      if const_multiples is None or const_multiples[d + 1] != 1:
        splits = projected_splits[d][axis - 1] * repeats
        output_lengths = ragged_util.repeat_ranges(output_lengths, splits,
                                                   multiples[d + 1])
      repeats *= multiples[d + 1]

    # Tile splits for the outermost (uniform) dimension.
    output_lengths = array_ops.tile(output_lengths, multiples[:1])

    # Convert to splits.
    result_splits.append(ragged_util.lengths_to_splits(output_lengths))

  return result_splits


#===============================================================================
# Reshaping
#===============================================================================


def expand_dims(input, axis, name=None):  # pylint: disable=redefined-builtin
  """Inserts a dimension with shape 1 into a potentially ragged tensor's shape.

  Given a potentially ragged tenor `input`, this operation inserts a
  dimension with size 1 at the dimension `axis` of `input`'s shape.

  * If `input` is a `Tensor`, then this is equivalent to
    `tf.expand_dims`.
  * If `input` is ragged, and `axis=0`, then the new dimension will be
    uniform; but the previously outermost dimension will become ragged.
  * If `input` is ragged, and `0 < axis < input.ragged_rank`, then the
    new dimension will be ragged.
  * If `input` is ragged, and axis >= input.ragged_rank`, then the new
    dimension will be uniform.

  The following table gives some examples showing how `ragged.expand_dims`
  impacts the shapes of different input tensors.  Ragged dimensions are
  indicated by enclosing them in parentheses.

  input.shape             | axis | result.shape
  ----------------------- | ---- | -----------------------------
  `[D1, D2]`              |  `0` | `[1, D1, D2]`
  `[D1, D2]`              |  `1` | `[D1, 1, D2]`
  `[D1, D2]`              |  `2` | `[D1, D2, 1]`
  `[D1, (D2), (D3), D4]`  |  `0` | `[1, (D1), (D2), (D3), D4]`
  `[D1, (D2), (D3), D4]`  |  `1` | `[D1, (1), (D2), (D3), D4]`
  `[D1, (D2), (D3), D4]`  |  `2` | `[D1, (D2), (1), (D3), D4]`
  `[D1, (D2), (D3), D4]`  |  `3` | `[D1, (D2), (D3), 1, D4]`
  `[D1, (D2), (D3), D4]`  |  `4` | `[D1, (D2), (D3), D4, 1]`

  Args:
    input: The potentially tensor that should be expanded with a new
      dimension.
    axis: An integer constant indicating where the new dimension should be
      inserted.
    name: A name for the operation (optional).

  Returns:
    A tensor with the same values as `input`, with an added dimension of
    size 1 at `axis`.

  #### Examples:
    ```python
    >>> rt = tf.ragged.constant([[1, 2], [3]])
    >>> print rt.shape
    TensorShape([2, None])

    >>> expanded = ragged.expand_dims(rt, axis=0)
    >>> print(expanded.shape, expanded)
    TensorShape([1, None, None]) [[[1, 2], [3]]]

    >>> expanded = ragged.expand_dims(rt, axis=1)
    >>> print(expanded.shape, expanded)
    TensorShape([2, None, None]) [[[1, 2]], [[3]]]

    >>> expanded = ragged.expand_dims(rt, axis=2)
    >>> print(expanded.shape, expanded)
    TensorShape([2, None, 1]) [[[1], [2]], [[3]]]
    ```
  """
  with ops.name_scope(name, 'RaggedExpandDims', [input]):
    input = ragged_tensor.convert_to_tensor_or_ragged_tensor(
        input, name='input')

    if not ragged_tensor.is_ragged(input):
      return array_ops.expand_dims(input, axis)

    ndims = None if input.shape.ndims is None else input.shape.ndims + 1
    axis = ragged_util.get_positive_axis(axis, ndims)
    if axis == 0:
      values = input
      splits = array_ops.stack([0, input.nrows()])
    elif axis == 1:
      values = input
      splits = math_ops.range(input.nrows() + 1)
    else:
      values = expand_dims(input.values, axis - 1)
      splits = input.row_splits

    return ragged_tensor.RaggedTensor.from_row_splits(values, splits,
                                                      validate=False)


#===============================================================================
# RaggedTensor Size
#===============================================================================


def size(input, out_type=dtypes.int32, name=None):  # pylint: disable=redefined-builtin
  """Returns the size of a potentially ragged tensor.

  The size of a ragged tensor is the size of its inner values.

  Args:
    input: A potentially ragged `Tensor`.
    out_type: The numeric output type for the operation.
    name: A name for the operation (optional).

  Returns:
    A Tensor of type `out_type`.

  #### Example:
    ```python
    >>> tf.size(tf.ragged.constant([[1, 2], [3]]))
    3
    ```
  """
  if ragged_tensor.is_ragged(input):
    return array_ops.size(input.flat_values, out_type=out_type, name=name)
  else:
    return array_ops.size(input, out_type=out_type, name=name)


#===============================================================================
# ragged.rank
#===============================================================================
def rank(input, name=None):  # pylint: disable=redefined-builtin
  """Returns the rank of a RaggedTensor.

  Returns a 0-D `int32` `Tensor` representing the rank of `input`.

  For example:

  ```python
  # shape of tensor 't' is [2, None, None]
  t = tf.ragged.constant([[[1], [2, 2]], [[3, 3, 3], [4, 4, 4, 4]]])
  tf.rank(t)  # 3
  ```

  Args:
    input: A `RaggedTensor`
    name: A name for the operation (optional).

  Returns:
    A `Tensor` of type `int32`.
  """
  with ops.name_scope(name, 'RaggedRank', [input]) as name:
    if not ragged_tensor.is_ragged(input):
      return array_ops.rank(input, name)

    return input.ragged_rank + array_ops.rank(input.flat_values)