code: def odd_ext(x: Array, n: int, axis: int = -1) -> Array:
      """Extends `x` along with `axis` by odd-extension.
  
      This function was previously a part of "scipy.signal.signaltools" but is no
      longer exposed.
  
      Args:
        x : input array
        n : the number of points to be added to the both end
        axis: the axis to be extended
      """
      if n < 1:
          return x
      if n > x.shape[axis] - 1:
          raise ValueError(
              f"The extension length n ({n}) is too big. "
              f"It must not exceed x.shape[axis]-1, which is {x.shape[axis] - 1}."
          )
      left_end = lax.slice_in_dim(x, 0, 1, axis=axis)
      left_ext = jnp.flip(
          lax.slice_in_dim(x, 1, n + 1, axis=axis), axis=axis
      )
      right_end = lax.slice_in_dim(x, -1, None, axis=axis)
      right_ext = jnp.flip(
          lax.slice_in_dim(x, -(n + 1), -1, axis=axis), axis=axis
      )
      ext = jnp.concatenate(
          (2 * left_end - left_ext, x, 2 * right_end - right_ext),
          axis=axis,
      )
      return ext
  
imports: from __future__ import annotations
  from collections.abc import Sequence
  from functools import partial
  import math
  import operator
  from typing import Callable
  import warnings
  import numpy
  import scipy.signal
  from scipy.fft import next_fast_len
  import jax
  import jax.numpy.fft
  import jax.numpy
  from jax import lax
  from jax._src.api_util import _ensure_index_tuple
  from jax._src import dtypes
  from jax._src.lax.lax import PrecisionLike
  from jax._src.numpy import linalg
  from jax._src.numpy.util import check_arraylike, _wraps, promote_dtypes_inexact, promote_dtypes_complex
  from jax._src.third_party.scipy import signal_helper
  from jax._src.typing import Array, ArrayLike
  from jax._src.util import canonicalize_axis, tuple_delete, tuple_insert
label_desc: Use image node_id 10 for calling a global function with example usage: odd_ext(x, n, axis) and returns: ext, x