code: def ref_addupdate(
      ref_or_view: AbstractRef, idx: Indexer | None, x: Array
  ) -> None:
      """Mutates a ref with an additive update i.e. `ref[idx] += x`."""
      ref, indexers = get_ref_and_indexers(
          ref_or_view, idx, "ref_addupdate"
      )
      flat_indexers, tree = tree_util.tree_flatten(indexers)
      return addupdate_p.bind(ref, x, *flat_indexers, tree=tree)
  
imports: from __future__ import annotations
  from functools import partial
  from typing import Any, Union
  import numpy
  from jax._src import ad_util
  from jax._src import core
  from jax._src import pretty_printer
  from jax._src import tree_util
  from jax._src.interpreters import ad
  from jax._src.interpreters import batching
  from jax._src.interpreters import partial_eval
  from jax._src.interpreters import mlir
  from jax._src.lax import lax
  from jax._src.typing import Array
  from jax._src.state import indexing
  from jax._src.state.types import AbstractRef, RefView, ReadEffect, WriteEffect, AccumEffect
  from jax._src.util import safe_map, safe_zip
label_desc: Use image node_id 9 for calling a global function with example usage: ref_addupdate(ref_or_view, idx, x) and returns: addupdate_p