Esempio n. 1
0
def _RelPositionBias(query, abs_pos_emb):
  """Computes relative position bias for general cases."""
  _, t, n, h = py_utils.GetShape(query)
  abs_pos_emb = py_utils.HasShape(abs_pos_emb, [2 * t - 1, n, h])

  # abs_pos_emb is [-(T-1), -(T-2), ... 0, 1, 2, ... T-1]
  # Change to [T-1, T-2, ... 0, -1, -2, ... -(T-2), -(T-1)]
  abs_pos_emb = tf.reverse(abs_pos_emb, [0])

  # [B, N, T, L=2T-1]
  term_bd = tf.einsum('BTNH,LNH->BNTL', query, abs_pos_emb)

  # Convert to [B, N, T, T]
  # part1
  term_bd_left = term_bd[:, :, :, :t]
  term_bd_left = tf.reverse(term_bd_left, [2, 3])
  term_bd_left = RelShift(term_bd_left)
  # [B, N, T, T]
  term_bd_left = tf.reverse(term_bd_left, [2, 3])
  # part 2
  term_bd_right = term_bd[:, :, :, t - 1:]
  # [B, N, T, T]
  term_bd_right = RelShift(term_bd_right)
  # [lower triangle]
  mask = tf.linalg.band_part(tf.ones_like(term_bd_right), -1, 0)

  # stitching togather
  return tf.where(mask > 0, term_bd_left, term_bd_right)
Esempio n. 2
0
  def FProp(self, theta, inputs, paddings):
    """Apply global spatial pooling to inputs.

    Args:
      theta: A `.NestedMap` object containing weights' values of this layer and
        its children layers.
      inputs: The inputs tensor. It is expected to be of shape [batch, time,
        frequency, channel]. The time dimension corresponds to the height
        dimension as in images and the frequency dimension corresponds to the
        width dimension as in images.
      paddings: The paddings tensor. It is expected to be of shape [batch,
        time]. Defaults to None, which means there no paddings.

    Returns:
      outputs, out_paddings pair.
       - outputs: has shape [batch, 1, 1, channel].
       - out_paddings: None or has shape [batch, 1].
    """
    p = self.params
    assert p.pooling_type in ['MAX', 'AVG'], p.pooling_type
    b, t, f = py_utils.GetShape(inputs, ndims=3)

    if paddings is not None:
      paddings = py_utils.HasShape(paddings, [b, t])

    if paddings is not None:
      mask = 1.0 - paddings[..., tf.newaxis, tf.newaxis]
    else:
      mask = tf.ones([b, t, 1, 1], p.dtype)
    if p.pooling_type == 'AVG':
      global_sum = tf.reduce_sum(inputs * mask, axis=[1, 2], keepdims=True)
      f = tf.cast(tf.convert_to_tensor(f), p.dtype)
      count = f * tf.reduce_sum(mask, axis=[1, 2], keepdims=True)
      out_feature = global_sum / tf.maximum(1.0, count)
    elif p.pooling_type == 'MAX':
      large_negative = (
          tf.ones_like(inputs) * p.dtype.max * tf.constant(-0.7, dtype=p.dtype))
      padded_inputs = tf.where_v2(mask > 0.0, inputs, large_negative)
      out_feature = tf.reduce_max(padded_inputs, axis=[1, 2], keepdims=True)
    if paddings is None:
      out_paddings = None
    else:
      out_paddings = tf.reduce_min(paddings, axis=1, keepdims=True)
      out_feature *= 1.0 - out_paddings[..., tf.newaxis, tf.newaxis]
    return out_feature, out_paddings
Esempio n. 3
0
    def _ProcessMASSInput(self, source_id, src):
        """Perform MASS input processing."""
        # TODO(yuancao): By doing so we assume that right now for monolingual
        # eval/dev sets (xx->xx) are in double-column format (since it bypasses
        # the Mass op). Ideally we should add a dedicated eval/dev processing
        # procedure for unsupervised MT cases, so that single-column eval/devs sets
        # are also supported. This should not be handled by any specific ops like
        # Mass, but inside the TextPackedInput class.
        assert not self.do_eval, 'MASS input can only be used for training.'

        _, labels, paddings = self.StringsToIds(tf.reshape(src, [1]),
                                                is_source=True,
                                                key=self._src_tokenizer_key)
        weights = 1 - paddings
        actual_seq_len = tf.cast(tf.reduce_sum(weights, 1), tf.int32)
        src_lang_ids, tgt_lang_ids = self._GetTaskIds(source_id)

        mass_out = self.mass_layer.Mask(labels, weights, actual_seq_len)

        features = py_utils.NestedMap()
        features.src = py_utils.NestedMap()
        features.src.ids = mass_out.src.ids
        features.src.paddings = paddings
        features.src.weights = weights
        features.src.task_ids = tf.cast(features.src.weights,
                                        dtype=tf.int32) * src_lang_ids
        features.src.ids_indicator = weights
        features.tgt = py_utils.NestedMap()
        features.tgt.ids = mass_out.tgt.ids
        features.tgt.labels = mass_out.tgt.labels
        features.tgt.paddings = paddings
        features.tgt.weights = mass_out.tgt.weights
        features.tgt.task_ids = tf.ones_like(features.src.task_ids,
                                             dtype=tf.int32) * tgt_lang_ids
        features.tgt.ids_indicator = weights

        if not py_utils.use_tpu():
            features.src.strs = src
            features.tgt.strs = src
        return features.Transform(tf.squeeze)
Esempio n. 4
0
    def FProp(self,
              theta,
              x,
              x_paddings=None,
              eos_id=1,
              force_sample_last_token=True):
        """Applies SymbolInsertionLayer.

    We take in a `x`, which represents the groundtruth sequence (i.e., English
    sequence). We return a sampled rollin (observed) canvas (i.e., random subset
    of the English sequence), as well as the target (indices) for an
    insertion-based model (i.e., the targets given the random observed subset).

    Args:
      theta: Ignored, this can be None.
      x: The symbol ids of shape `[batch_size, time_dim]`.
      x_paddings: The paddings (1 or 0) of shape `[batch_size, time_dim]` where
        0 is valid and 1 is invalid.
      eos_id: The <eos> token id to represent end-of-slot.
      force_sample_last_token: Set True to force sample the last token of `x`.

    Returns:
      A `NestedMap`.
        - canvas: The canvas (based off of the `rollin_policy`) of shape
          [batch_size, c_dim]. Note that, `c_dim` <= `time_dim` but need not be
          equal.
        - canvas_indices: The canvas indices (into `x`).
        - canvas_paddings: The paddings of `canvas_indices`.
        - target_indices: The target indices of shape [num_targets, 3].
          `num_targets` is the number of total targets in the entire batch.
          [:, 0] captures the batch, [:, 1] captures the slot, and [:, 2]
          captures the token. Each row [batch, slot, vocab] represents the
          indices of the target -- i.e., the batch, slot and vocab combination
          of the target. Typical usage of these indices is to tf.gather_nd
          the log-probs (from the softmax layer).
        - target_weights: The target weights.

    Raises:
      ValueError: If invalid params.
    """
        p = self.params

        batch_size = py_utils.GetShape(x)[0]
        time_dim = py_utils.GetShape(x)[1]

        if x_paddings is None:
            x_paddings = tf.zeros([batch_size, time_dim], tf.float32)

        oracle_policy = p.oracle_policy
        rollin_policy = (oracle_policy
                         if p.rollin_policy == 'oracle' else p.rollin_policy)

        if rollin_policy != 'uniform':
            raise ValueError('Unknown or unsupported rollin policy: %s' %
                             rollin_policy)
        if oracle_policy != 'uniform':
            raise ValueError('Unknown or unsupported oracle policy: %s' %
                             oracle_policy)

        x_len = tf.cast(tf.round(tf.reduce_sum(1 - x_paddings, 1)), tf.int32)

        # Compute the desired length per example in the batch.
        ratio = tf.random.uniform([batch_size], 0.0, 1.0, seed=p.random_seed)
        if force_sample_last_token:
            c_len = tf.minimum(
                tf.cast(ratio * tf.cast(x_len, tf.float32), tf.int32),
                x_len - 1) + 1
        else:
            c_len = tf.minimum(
                tf.cast(ratio * tf.cast(x_len + 1, tf.float32), tf.int32),
                x_len)
        # Compute the maximum length across the batch.
        c_len_max = tf.reduce_max(c_len)

        # Grab subset of random valid indices per example.
        z_logits = tf.cast(
            tf.expand_dims(tf.range(time_dim), 0) >= tf.expand_dims(x_len, 1),
            tf.float32) * -1e9
        if force_sample_last_token:
            # Force sample the last token -- i.e., as indexed by `x_len - 1`. We can
            # accomplish this by add +LARGE_NUMBER to the logits.
            z_logits += tf.cast(
                tf.equal(tf.expand_dims(tf.range(time_dim), 0),
                         tf.expand_dims(x_len - 1, 1)), tf.float32) * 1e9
        # Gumbel-max trick to sample (we only sample valid positions per sample in
        # the batch).
        z = -tf.math.log(-tf.math.log(
            tf.random.uniform([batch_size, time_dim], seed=p.random_seed)))
        unused_c_values, c_indices = tf.nn.top_k(z_logits + z, time_dim)

        # Trim everything > c_len_max.
        c_indices = c_indices[:, :c_len_max]

        # Invalidate any indices >= c_len, we use the last index as the default
        # invalid index.
        c_indices = tf.where(
            tf.expand_dims(tf.range(c_len_max), 0) < tf.expand_dims(c_len, 1),
            c_indices, tf.fill(py_utils.GetShape(c_indices), time_dim - 1))

        # Materialize the canvas.
        c_indices = tf.sort(c_indices)
        c = tf.gather_nd(
            x,
            tf.stack([
                tf.reshape(
                    tf.tile(tf.expand_dims(tf.range(batch_size), 1),
                            [1, c_len_max]), [-1]),
                tf.reshape(c_indices, [-1])
            ], 1))
        c = tf.reshape(c, [batch_size, c_len_max])

        # Compute the paddings.
        c_paddings = 1 - tf.sequence_mask(
            c_len, c_len_max, dtype=x_paddings.dtype)
        c *= tf.cast(1 - c_paddings, tf.int32)

        indices = tf.concat([
            tf.reshape(
                tf.tile(tf.expand_dims(tf.range(batch_size), 1),
                        [1, c_len_max]), [batch_size * c_len_max, 1]),
            tf.reshape(c_indices, [batch_size * c_len_max, 1])
        ], 1)
        x_token_is_observed = tf.scatter_nd(
            indices, tf.ones([batch_size * c_len_max], tf.int32),
            py_utils.GetShape(x))
        # `x_segments` captures which slot each `x` belongs to (both observed and
        # tokens that need to be observed).
        x_segments = tf.cumsum(x_token_is_observed, 1, exclusive=True)

        x_token_is_observed = tf.cast(x_token_is_observed, tf.bool)
        prev_x_token_is_observed = tf.pad(x_token_is_observed[:, :-1],
                                          [[0, 0], [1, 0]],
                                          constant_values=True)
        x_token_is_observed = tf.reshape(x_token_is_observed, [-1])
        prev_x_token_is_observed = tf.reshape(prev_x_token_is_observed, [-1])
        x_is_valid = tf.cast(1 - x_paddings, tf.bool)
        x_is_valid = tf.reshape(x_is_valid, [-1])

        # Remap all the observed to <eos>, note some of these need a zero weight
        # (or else there would be <eos> and valid token in the same slot).
        target_indices = tf.cast(tf.reshape(x, [-1, 1]), tf.int32)
        target_indices = tf.where(
            x_token_is_observed,
            tf.fill(py_utils.GetShape(target_indices), eos_id), target_indices)

        # TODO(williamchan): We give uniform 1.0 weight, however, math suggests
        # we may want to weigh this term by the original sequence length.
        target_weights = tf.ones_like(target_indices, tf.float32)

        # We need to set all the weights for <eos> which actually have valid tokens
        # in the slot to zero.
        target_weights = tf.where(
            x_token_is_observed & ~prev_x_token_is_observed,
            tf.zeros_like(target_weights), target_weights)

        # TODO(williamchan): Consider dropping the entries w/ weight zero.

        # Add the batch and slot indices.
        target_indices = tf.concat([
            tf.reshape(
                tf.tile(tf.expand_dims(tf.range(batch_size), 1),
                        [1, time_dim]), [batch_size * time_dim, 1]),
            tf.reshape(x_segments, [-1, 1]), target_indices
        ], 1)

        # Select only the valid indices. The selected valid ones include slots w/
        # <eos>.
        target_indices = target_indices[x_is_valid]
        target_weights = target_weights[x_is_valid]

        return py_utils.NestedMap(canvas=c,
                                  canvas_indices=c_indices,
                                  canvas_paddings=c_paddings,
                                  target_indices=target_indices,
                                  target_weights=target_weights)
Esempio n. 5
0
    def FProp(self, theta, input_batch):
        """Embeds source ids and transforms with TransformerStack.

    Args:
      theta: A `.NestedMap` object containing weights' values of this
        layer and its children layers.
      input_batch: A `.NestedMap` with fields:

        - ids: The inputs tensor. It is expected to be of shape [batch, time].
        - paddings: The paddings tensor. Expected shape [batch, time].
        - task_ids: If p.task_emb is provided, must contain per-token task
            ids of shape [batch, time].

    Returns:
      A NestedMap containing

      - encoded: The encoded features, either a tensor of shape
        [time, batch, depth], or a list of tensors if is_transparent is set in
        transformer_stack.
      - padding: of shape [time, batch]
      - segment_id: [time, batch] if packed inputs are supported by the model
        (and all layers), or None otherwise.
      - embedded_inputs: [time, batch, depth] embedded inputs tokens without
        positional encodings.
    """

        p = self.params
        with tf.name_scope(p.name):
            src_segment_id = None
            src_segment_pos = None
            input_ids = py_utils.with_dependencies([
                py_utils.assert_shape_match(tf.shape(input_batch.ids),
                                            tf.shape(input_batch.paddings)),
                py_utils.assert_equal(tf.rank(input_batch.ids), 2)
            ], input_batch.ids)

            if (not py_utils.use_tpu()
                    and tf.flags.FLAGS.transformer_encoder_truncates_inputs):
                max_seq_length = tf.cast(
                    tf.reduce_max(tf.reduce_sum(1.0 - input_batch.paddings,
                                                1)), tf.int32)
                paddings = py_utils.with_dependencies([
                    py_utils.assert_equal(
                        tf.constant(True, tf.bool),
                        tf.reduce_all(
                            input_batch.paddings[:, max_seq_length:] > 0.5))
                ], input_batch.paddings)
                input_ids = input_ids[:, :max_seq_length]
                paddings = paddings[:, :max_seq_length]
                if p.packed_input:
                    src_segment_id = input_batch.segment_ids[:, :
                                                             max_seq_length]
                    src_segment_pos = input_batch.segment_pos[:, :
                                                              max_seq_length]
            else:
                paddings = input_batch.paddings
                if p.packed_input:
                    src_segment_id = input_batch.segment_ids
                    src_segment_pos = input_batch.segment_pos

            max_time = tf.shape(input_ids)[1]

            # Input token embeddings + positional embeddings
            if not p.shared_emb:
                input_embs = self.token_emb.EmbLookup(
                    theta.token_emb, tf.reshape(input_ids, [-1]))
            else:
                input_embs = self.softmax.EmbLookup(
                    theta.softmax, tf.reshape(input_ids, [-1]))

            input_embs = tf.reshape(input_embs,
                                    [-1, max_time, p.token_emb.embedding_dim])
            # [time, batch, dim]
            orig_input_embs = tf.transpose(input_embs, [1, 0, 2])

            if p.packed_input:
                position_embs = self.position_emb.FPropWithPosition(
                    theta.position_emb, src_segment_pos)
            else:
                position_embs = self.position_emb.FProp(
                    theta.position_emb, max_time)
                position_embs = tf.reshape(
                    position_embs, [1, max_time, p.token_emb.embedding_dim])
            input_embs += position_embs
            if p.task_emb:
                input_embs += self.task_emb.EmbLookup(theta.task_emb,
                                                      input_batch.task_ids)

            if p.model_dim != p.token_emb.embedding_dim:
                input_embs = self.emb_proj.FProp(theta.emb_proj, input_embs)

            paddings = tf.cast(tf.transpose(paddings), py_utils.FPropDtype(p))
            if p.packed_input:
                src_segment_id = tf.transpose(src_segment_id)
            input_embs = self.input_dropout.FProp(theta.input_dropout,
                                                  input_embs)

            # [time, batch, dim]
            transformer_input = tf.transpose(input_embs, [1, 0, 2])

        if not self.do_eval and p.apply_source_mask:
            # Augment padding for masked source word positions.
            dtype = paddings.dtype
            source_mask = tf.where(tf.equal(input_ids, p.source_mask_id),
                                   tf.ones_like(input_ids, dtype=dtype),
                                   tf.zeros_like(input_ids, dtype=dtype))
            # Make sure padding is between 0 and 1.
            paddings = tf.clip_by_value(paddings + tf.transpose(source_mask),
                                        0.0, 1.0)

        encoded, padding, segment_id = self.transformer_stack.FProp(
            theta.transformer_stack, transformer_input, paddings,
            src_segment_id)
        return py_utils.NestedMap(encoded=encoded,
                                  padding=padding,
                                  segment_id=segment_id,
                                  embedded_inputs=orig_input_embs)
def beam_search_step(in_scores,
                     in_atten_probs,
                     in_best_scores,
                     in_cumulative_scores,
                     in_histories,
                     cur_step,
                     eos_id,
                     num_beams,
                     beam_size,
                     num_hyps_per_beam,
                     valid_eos_max_logit_delta=5.0,
                     local_eos_threshold=-100.0,
                     merge_paths=False,
                     is_last_chunk=None,
                     eoc_id=0):
    """A single step of beam search.

  Let "b" be the number of beams, "k" be the number hyps in each beam. This
  function supports values with dtypes tf.float32 or tf.bfloat16.

  The following data structures are allocated before the first decoding step and
  are passed along from cur step to the next step:

  Args:
    in_scores: A tensor of shape [b * k, vocab_size], where [i, ...] is the
      token score of the j-th hyps of the n-th beam. j = (i / k), and n = i % k
    in_atten_probs: A tensor of shape [b*k, s_len], where in_atten_probs[i, ...]
      is the attention probabilities over the source words of the j-th hyps of
      n-th beam (where j, and n are derived as above).
    in_best_scores: A vector of size [b], best scores of terminated hyps so far
      in each of the beams.
    in_cumulative_scores: A vector of size [b * k]. The cumulative score of each
      active hyp before the current step.
    in_histories: An int32 vector of size [b * k] containing hashes of the
      histories of each active hyp. If 'merge_paths' is enabled, the histories
      are used to identify hypotheses that are identical modulo epsilons (e.g.
      "a <eps> b" and "a b <eps>") and merge them. See 'update_histories'
      docstring for details.
    cur_step: Current step id.
    eos_id: Token id of the special end of sequence token.
    num_beams: Number of beams.
    beam_size: Search terminates if the delta between the scores of the active
      hyps.
    num_hyps_per_beam: Number of hyps in a beam.
    valid_eos_max_logit_delta: We allow </s> to terminate a hyp only if its
      logit is no more than 'valid_eos_max_logit_delta' away from the logit of
      the best candidate.
    local_eos_threshold: We allow </s> to terminate a hyp if the local score for
      </s> is greater than local_eos_threshold.
    merge_paths: If true, hyps which are identical when epsilons are removed
      will be combined into a single hyp.  The probability for that combined hyp
      will be the sum of the probabilities of the component hyps.  This can only
      be applied for epsilon-emitting models (RNN-T and NT).
    is_last_chunk: A tensor of shape [b * k, 1]. Used by neural transducer,
      determines whether the current hypothesis reaches the last chunk and
      should treat the next end-of-chunk symbol as end-of-sentence.
    eoc_id: int, the id of the end of chunk (a.k.a epsilon) token used by neural
      transducer models. Only relevant if 'merge_paths' is True or
      'is_last_chunk' is provided.

  Returns:
    out_best_scores: A tensor of shape [b] of updated best scores for each of
      the beams.
    out_cumulative_scores: A tensor of shape [b * k]. The cumulative score of
      the new hyps after the current decoding step.
    out_scores: A tensor of shape [b * k] with scores of the token selected.
    out_eos_scores: A tensor of shape [b * k] with token scores for the EOS, in
      case the hyp was terminated, otherwise 0.0.
    out_hyps: A tensor of shape [b * k] with ids of the token selected.
    out_prev_hyps: A tensor of shape [b * k] with index to the previous hyps
      which was selected.
    out_done_hyps: A boolean tensor of shape [b * k] where value indicates
      if hyps was terminated.
    out_atten_probs: A tensor of shape [b * k, seq_len] which contain the
      attention probabilities over the source words against word in the previous
      hyps.
    out_eos_atten_probs: A tensor of shape [b * k, seq_len] which contains the
      attention probabilities over the source against word in the current hyp
      which was terminated.
    out_all_done: A scalar, whether decoding should terminate for all beams.
    out_histories: A tensor of shape [b * k] containing new history hashes for
      the active hypotheses. See 'update_histories' docstring for details.
  Raises:
    ValueError: if inputs are invalid.
  """
    num_hyps_per_beam = int(num_hyps_per_beam)

    if num_hyps_per_beam <= 0:
        raise ValueError("num_hyps_per_beam = {} and must be > 0.".format(
            num_hyps_per_beam))

    in_scores = tf.convert_to_tensor(in_scores)
    in_scores.shape.assert_has_rank(2)
    num_classes = in_scores.get_shape()[1]

    in_atten_probs = tf.convert_to_tensor(in_atten_probs)
    in_atten_probs.shape.assert_has_rank(2)

    in_best_scores = tf.convert_to_tensor(in_best_scores)
    in_best_scores.shape.assert_has_rank(1)

    in_cumulative_scores = tf.convert_to_tensor(in_cumulative_scores)
    in_cumulative_scores.shape.assert_has_rank(1)

    in_histories = tf.convert_to_tensor(in_histories)
    in_histories.shape.assert_has_rank(1)

    with tf.name_scope("beam_search_step"):
        # For k = num_hyps_per_beam
        # First step of beam search is to find the top tokens based on its score.
        # Normally we select k+1, where the extra +1 is to make sure we have k
        # non-eos tokens to select if EOS token is in the top-k. If path merging is
        # on, we actually need to select k+2; this ensures there are k+1 tokens left
        # after the merge, at least k of which are not EOS.
        # TODO(b/118644069): Avoid casts when there is a XLA op available that takes
        # in bfloat16.
        num_candidates_per_input_hyp = (num_hyps_per_beam + 2 if merge_paths
                                        else num_hyps_per_beam + 1)
        # [b * k, num_candidates_per_input_hyp]
        local_score_values, local_indices = xla_ops.top_k_with_unique(
            tf.cast(in_scores, tf.float32), k=num_candidates_per_input_hyp)
        local_score_values = tf.cast(local_score_values, in_scores.dtype)

        # Compute the global score which is sum of the local score, and the
        # cumulative scores for each of the hyps.
        # [b * k, num_candidates_per_input_hyp]
        global_score_values = local_score_values + tf.expand_dims(
            in_cumulative_scores, 1)

        values_dtype = local_score_values.dtype
        is_first_step = tf.cast(tf.equal(cur_step, 0), values_dtype)

        # Preprocessing to reorder the tensor from `mod` sharding to `div` so that
        # we can use matrix/vector operations to complete the beam search.
        # [b * k, num_candidates_per_input_hyp]
        global_score_values = reorder_tensor("mod_to_div", global_score_values,
                                             num_beams, num_hyps_per_beam)
        local_score_values = reorder_tensor("mod_to_div", local_score_values,
                                            num_beams, num_hyps_per_beam)
        local_indices = reorder_tensor("mod_to_div",
                                       local_indices,
                                       num_beams,
                                       num_hyps_per_beam,
                                       max_value=num_classes - 1)
        # [b * k, 1]
        histories = reorder_tensor("mod_to_div",
                                   tf.expand_dims(in_histories, 1), num_beams,
                                   num_hyps_per_beam)
        if is_last_chunk is None:
            is_last_chunk = tf.zeros([num_beams * num_hyps_per_beam, 1],
                                     tf.bool)
        else:
            is_last_chunk = tf.cast(
                reorder_tensor(
                    "mod_to_div",
                    tf.reshape(is_last_chunk,
                               [num_beams * num_hyps_per_beam, 1]), num_beams,
                    num_hyps_per_beam), tf.bool)

        # For the first step mask everything but the first row.
        # [num_hyps_per_beam]
        per_example_mask = tf.concat([
            tf.constant([1.0], dtype=values_dtype),
            tf.zeros([num_hyps_per_beam - 1], dtype=values_dtype)
        ], 0)
        # [num_hyps_per_beam, num_beams] => [b*k, 1]
        mask = tf.reshape(
            tf.tile(per_example_mask, tf.expand_dims(num_beams, 0)),
            [-1, 1]) * is_first_step + (1.0 - is_first_step)
        local_score_values *= mask
        global_score_values *= mask

        # We add a large negative value for the unmasked values.
        per_example_additive_mask = tf.concat([
            tf.constant([0.0], dtype=values_dtype),
            tf.constant(BEST_SCORES_INIT,
                        shape=[num_hyps_per_beam - 1],
                        dtype=values_dtype)
        ], 0)
        additive_mask = tf.reshape(
            tf.tile(per_example_additive_mask, tf.expand_dims(num_beams, 0)),
            [-1, 1]) * is_first_step
        local_score_values += additive_mask
        global_score_values += additive_mask

        if merge_paths:
            with tf.name_scope("merge_paths"):
                # Compute new history hashes for each hypothesis + new token.
                # [b * k, num_candidates_per_input_hyp]
                histories = update_histories(histories,
                                             local_indices,
                                             mask,
                                             epsilon_id=eoc_id)
                global_score_values, histories = merge_hyps(
                    global_score_values, histories, mask, num_beams,
                    num_hyps_per_beam)

        # As we keep num_candidates_per_input_hyp, we have a total of
        # num_candidates_per_input_hyp * k hyps active per example.
        num_candidate_hyps = num_candidates_per_input_hyp * num_hyps_per_beam
        batch_shape = [-1, num_candidate_hyps]

        # Reshape score values so that each row corresponds to a particular example.
        # [num_beams, num_candidate_hyps]
        global_score_values_batch = tf.reshape(global_score_values,
                                               batch_shape)

        # First for each beam: Find the top 2 * num_hyps_per_beam candidates.
        # The factor of 2 is to be able to process non EOS token ids in the case
        # where top scoring token for each hyps is EOS token.
        # [k * b, 2 * num_hyps_per_beam]
        _, candidates_indices_in_top_k = xla_ops.top_k_with_unique(
            tf.cast(global_score_values_batch, tf.float32),
            k=2 * num_hyps_per_beam)
        # Find the previous hyps of the candidate. We divide here by (k+1) to
        # identify which hyps this token came from.
        hyps_id = candidates_indices_in_top_k // num_candidates_per_input_hyp

        # Add in offset so that we can get the candidate index in the [b * k] space.
        offset = tf.expand_dims(tf.range(num_beams) * num_candidate_hyps, 1)
        flat_candidates_indices_in_top_k = tf.reshape(
            candidates_indices_in_top_k + offset, [-1])

        flat_local_indices = tf.reshape(local_indices, [1, -1])
        flat_token_scores = tf.reshape(local_score_values, [-1, 1])
        flat_global_scores = tf.reshape(global_score_values, [-1, 1])

        # Gather the token scores for each of 2*k candidates. We use tf.one_hot()
        # followed by a tf.matmul() to speedup gather on TPUs.
        total_num_candidates = num_beams * num_candidate_hyps
        token_scores_for_beam = tf.reshape(
            fast_gather(flat_token_scores, flat_candidates_indices_in_top_k,
                        total_num_candidates),
            [num_beams, 2 * num_hyps_per_beam])
        token_scores_for_beam_shape = tf.shape(token_scores_for_beam)

        global_scores_for_beam = tf.reshape(
            fast_gather(flat_global_scores, flat_candidates_indices_in_top_k,
                        total_num_candidates), token_scores_for_beam_shape)

        # Local indices value's are between [0, vocab_size-1], hence we use the
        # slower version of gather.
        token_ids_for_beam = tf.reshape(
            fast_gather(flat_local_indices,
                        flat_candidates_indices_in_top_k,
                        total_num_candidates,
                        max_value=num_classes - 1,
                        axis=1), token_scores_for_beam_shape)

        # We have access to 2*num_hyps_per_beam hyps per beam.
        # We shrink back to num_hyps_per_beam that does not include EOS, and move
        # EOS that occurs in top-num_hyps_per_beam to the EOS done matrix.

        # To determine the threshold at which eos is allowed to terminate a hyp,
        # we need to know the maximum global score for that hyp with any additional
        # token. If path merging is *not* enabled, the global_score_values are
        # by construction in sorted order, so we can just look at its 0th column. If
        # path merging is enabled, the global scores of deleted (merged) hyps break
        # the sorted order, which means we have to do a full reduce_max.
        if merge_paths:
            max_global_score_per_input_hyp = tf.reduce_max(global_score_values,
                                                           axis=1,
                                                           keepdims=True)
        else:
            max_global_score_per_input_hyp = global_score_values[:, 0:1]
        # [num_beams * num_hyps_per_beam, 1]
        global_eos_threshold = (max_global_score_per_input_hyp -
                                valid_eos_max_logit_delta)
        local_eos_threshold_tensor = local_eos_threshold * tf.ones_like(
            global_eos_threshold)

        # Find EOS in top num_hyps_per_beam token ids. We also treat EOC as EOS if
        # the model has indicated this is the last chunk.
        local_index_is_eos = tf.equal(local_indices, eos_id)
        local_index_is_last_chunk_eoc = tf.math.logical_and(
            tf.equal(local_indices, eoc_id), is_last_chunk)
        eos_mask = tf.math.logical_and(
            tf.math.logical_and(
                tf.math.logical_and(
                    tf.greater(
                        local_score_values,
                        tf.tile(local_eos_threshold_tensor,
                                [1, num_candidates_per_input_hyp])),
                    tf.greater(
                        global_score_values,
                        tf.tile(global_eos_threshold,
                                [1, num_candidates_per_input_hyp]))),
                tf.math.logical_or(local_index_is_eos,
                                   local_index_is_last_chunk_eoc)),
            tf.cast(mask, tf.bool))
        end_hyps_bool_mask = tf.reshape(tf.reduce_any(eos_mask, 1), [-1, 1])

        end_hyps_bool_mask = reorder_tensor("div_to_mod", end_hyps_bool_mask,
                                            num_beams, num_hyps_per_beam)

        eos_atten_probs = in_atten_probs * tf.cast(end_hyps_bool_mask,
                                                   in_atten_probs.dtype)
        eos_atten_probs = tf.reshape(eos_atten_probs,
                                     [num_beams * num_hyps_per_beam, -1])
        # A boolean tensor of shape [b * k] where value indicates if hyps was
        # terminated.
        out_done_hyps = tf.reshape(end_hyps_bool_mask, [-1])

        # Scores for EOS token.
        eos_float_mask = tf.cast(eos_mask, values_dtype)
        eos_local_scores = eos_float_mask * local_score_values
        eos_additive_float_mask = (1.0 - eos_float_mask) * BEST_SCORES_INIT
        eos_local_scores += eos_additive_float_mask
        out_eos_scores = tf.reshape(tf.reduce_max(eos_local_scores, 1),
                                    [-1, 1])
        out_eos_scores = tf.reshape(
            reorder_tensor("div_to_mod", out_eos_scores, num_beams,
                           num_hyps_per_beam), [-1])
        # A tensor of shape [b] of updated best scores for each of the beams.
        eos_global_scores = eos_float_mask * global_score_values
        eos_global_scores += eos_additive_float_mask
        best_scores = tf.reduce_max(
            tf.reshape(eos_global_scores, [num_beams, -1]), 1)

        # Following operations are to finds the top num_hyps_per_beam that are
        # active.

        # Active ones are the ones that do not correspond to EOS termination.
        # We keep num_hyps_per_beam * 2 in case every hyps is terminated by EOS id.
        # Top K with eos removed.
        non_eos_mask = tf.not_equal(token_ids_for_beam, eos_id)
        num_candidate_hyps = num_hyps_per_beam * 2 * num_beams
        index = tf.where(
            non_eos_mask,
            tf.reshape(tf.range(num_candidate_hyps, dtype=tf.int32),
                       token_scores_for_beam_shape),
            num_candidate_hyps *
            tf.ones(dtype=tf.int32, shape=token_scores_for_beam_shape))

        # Unrolled TopK.
        sorted_indices = []
        # Finds the first num_hyps_per_beam unmasked indexes and stores them in
        # concated_index (shape: [num_beams, num_candidate_hyps])
        # This is done by iteratively record the min index in each row, and reset
        # it to the max, so that next iteration reduce_min returns the 2nd minimum
        # index.
        for _ in range(num_hyps_per_beam):
            min_index = tf.reshape(tf.reduce_min(index, [1]), [num_beams, 1])
            sorted_indices.append(min_index)
            # Replace position with num_candidate_hyps value.
            index = tf.where(
                tf.equal(index, min_index),
                num_candidate_hyps *
                tf.ones(dtype=tf.int32, shape=token_scores_for_beam_shape),
                index)

        # Post processing ops to output expected tensors.
        concated_sorted_indices = tf.concat(sorted_indices, 1)
        flat_sorted_indices = tf.reshape(concated_sorted_indices, [-1])

        # A tensor of shape [b * k] with scores of the token selected.
        out_scores = tf.reshape(
            fast_gather(tf.reshape(token_scores_for_beam, [-1, 1]),
                        flat_sorted_indices, num_candidate_hyps), [-1, 1])
        out_scores = tf.reshape(
            reorder_tensor("div_to_mod", out_scores, num_beams,
                           num_hyps_per_beam), [-1])

        # Gather the updated histories of selected hypotheses if path merging is
        # enabled. Otherwise, the histories are unused, so just output in_histories.
        if merge_paths:
            flat_histories = tf.reshape(histories, [-1, 1])
            # [num_beams, 2 * num_hyps_per_beam]
            histories_for_beam = tf.reshape(
                fast_gather(flat_histories, flat_candidates_indices_in_top_k,
                            total_num_candidates), token_scores_for_beam_shape)
            out_histories = tf.reshape(
                fast_gather(tf.reshape(histories_for_beam, [-1, 1]),
                            flat_sorted_indices, num_candidate_hyps), [-1, 1])
            out_histories = tf.reshape(
                reorder_tensor("div_to_mod", out_histories, num_beams,
                               num_hyps_per_beam), [-1])
        else:
            out_histories = in_histories

        prev_hyps_ids = tf.reshape(
            tf.reshape(
                fast_gather(tf.reshape(hyps_id, [1, -1]),
                            flat_sorted_indices,
                            num_candidate_hyps,
                            max_value=num_hyps_per_beam,
                            axis=1), [num_beams, -1]) * num_beams +
            tf.expand_dims(tf.range(num_beams), 1), [-1, 1])

        prev_hyps_ids = reorder_tensor("div_to_mod",
                                       prev_hyps_ids,
                                       num_beams,
                                       num_hyps_per_beam,
                                       max_value=num_hyps_per_beam)
        # A tensor of shape [b * k] with index to the previous hyps which was
        # selected.
        out_prev_hyps = tf.reshape(prev_hyps_ids, [-1])

        # A tensor of shape [b * k, seq_len] which contain the attention
        # probabilities over the source words against word in the previous hyps.
        out_atten_probs = tf.reshape(
            fast_gather(in_atten_probs, out_prev_hyps,
                        num_beams * num_hyps_per_beam),
            [num_beams * num_hyps_per_beam, -1])

        sorted_top_k_ids = fast_gather(tf.reshape(token_ids_for_beam, [1, -1]),
                                       flat_sorted_indices,
                                       num_candidate_hyps,
                                       max_value=num_classes - 1,
                                       axis=1)
        sorted_top_k_ids = reorder_tensor("div_to_mod",
                                          sorted_top_k_ids,
                                          num_beams,
                                          num_hyps_per_beam,
                                          max_value=num_classes - 1,
                                          axis=1)

        # A tensor of shape [b * k] with ids of the token selected.
        out_hyps = tf.reshape(sorted_top_k_ids, [-1])

        # A tensor of shape [b * k]. The cumulative score of the selected hyps after
        # the current decoding step.
        out_cumulative_scores = tf.reshape(
            fast_gather(tf.reshape(global_scores_for_beam, [-1, 1]),
                        flat_sorted_indices, num_candidate_hyps), [-1, 1])

        out_cumulative_scores = tf.reshape(
            reorder_tensor("div_to_mod", out_cumulative_scores, num_beams,
                           num_hyps_per_beam), [-1])
        out_best_scores = tf.maximum(best_scores, in_best_scores)

        # A scalar, whether decoding should terminate for all beams.
        out_all_done = tf.reshape(
            tf.math.logical_not(
                tf.reduce_any(
                    tf.greater(
                        out_cumulative_scores,
                        tf.reshape(
                            tf.tile(
                                tf.reshape(out_best_scores - beam_size,
                                           [-1, 1]), [1, num_hyps_per_beam]),
                            [-1])))), [])

        return (out_best_scores, out_cumulative_scores, out_scores,
                out_eos_scores, out_hyps, out_prev_hyps, out_done_hyps,
                out_atten_probs, eos_atten_probs, out_all_done, out_histories)
def _ComputePaddings(ids, eos_id):
    is_eos = tf.cast(tf.equal(ids, eos_id), tf.int32)
    # eos_in_prefix[i, j] = any(ids[i, k] == eos_id for k in range(j))
    eos_in_prefix = tf.cumsum(is_eos, axis=-1, exclusive=True)
    return tf.where(tf.equal(eos_in_prefix, 0), tf.zeros_like(ids),
                    tf.ones_like(ids))