def random_spans_noise_mask(self, length):
        """This function is copy of `random_spans_helper <https://github.com/google-research/text-to-text-transfer-transformer/blob/84f8bcc14b5f2c03de51bd3587609ba8f6bbd1cd/t5/data/preprocessors.py#L2682>`__ .

        Noise mask consisting of random spans of noise tokens.
        The number of noise tokens and the number of noise spans and non-noise spans
        are determined deterministically as follows:
        num_noise_tokens = round(length * noise_density)
        num_nonnoise_spans = num_noise_spans = round(num_noise_tokens / mean_noise_span_length)
        Spans alternate between non-noise and noise, beginning with non-noise.
        Subject to the above restrictions, all masks are equally likely.

        Args:
            length: an int32 scalar (length of the incoming token sequence)
            noise_density: a float - approximate density of output mask
            mean_noise_span_length: a number

        Returns:
            a boolean tensor with shape [length]
        """

        orig_length = length

        num_noise_tokens = int(np.round(length * self.noise_density))
        num_nonnoise_tokens = length - num_noise_tokens
        # avoid degeneracy by ensuring positive numbers of noise and nonnoise tokens.
        num_noise_tokens = min(max(num_noise_tokens, 1), length - 1)
        # num_noise_tokens should be less than num_noise_tokens and num_nonnoise_tokens
        num_noise_spans = int(np.round(min(num_noise_tokens, num_nonnoise_tokens) / self.mean_noise_span_length))

        # avoid degeneracy by ensuring positive number of noise spans
        num_noise_spans = max(num_noise_spans, 1)

        # pick the lengths of the noise spans and the non-noise spans
        def _random_segmentation(num_items, num_segments):
            """Partition a sequence of items randomly into non-empty segments.
            Args:
                num_items: an integer scalar > 0
                num_segments: an integer scalar in [1, num_items]
            Returns:
                a Tensor with shape [num_segments] containing positive integers that add
                up to num_items
            """
            mask_indices = np.arange(num_items - 1) < (num_segments - 1)
            np.random.shuffle(mask_indices)
            first_in_segment = np.pad(mask_indices, [[1, 0]])
            segment_id = np.cumsum(first_in_segment)
            # count length of sub segments assuming that list is sorted
            _, segment_length = np.unique(segment_id, return_counts=True)
            return segment_length

        noise_span_lengths = _random_segmentation(num_noise_tokens, num_noise_spans)
        nonnoise_span_lengths = _random_segmentation(num_nonnoise_tokens, num_noise_spans)

        interleaved_span_lengths = np.reshape(
            np.stack([nonnoise_span_lengths, noise_span_lengths], axis=1), [num_noise_spans * 2]
        )
        span_starts = np.cumsum(interleaved_span_lengths)[:-1]
        span_start_indicator = np.zeros((length,), dtype=np.int8)
        span_start_indicator[span_starts] = True
        span_num = np.cumsum(span_start_indicator)
        is_noise = np.equal(span_num % 2, 1)

        return is_noise[:orig_length]
This function is copy of `random_spans_helper <https://github.com/google-research/text-to-text-transfer-transformer/blob/84f8bcc14b5f2c03de51bd3587609ba8f6bbd1cd/t5/data/preprocessors.py#L2682>`__ .

        Noise mask consisting of random spans of noise tokens.
        The number of noise tokens and the number of noise spans and non-noise spans
        are determined deterministically as follows:
        num_noise_tokens = round(length * noise_density)
        num_nonnoise_spans = num_noise_spans = round(num_noise_tokens / mean_noise_span_length)
        Spans alternate between non-noise and noise, beginning with non-noise.
        Subject to the above restrictions, all masks are equally likely.

        Args:
            length: an int32 scalar (length of the incoming token sequence)
            noise_density: a float - approximate density of output mask
            mean_noise_span_length: a number

        Returns:
            a boolean tensor with shape [length]
        
dpkd/transformers/examples/flax/language-modeling/run_t5_mlm_flax.py