code: def _batch_block_mapping(
      grid: tuple[int, ...],
      aval: jax_core.ShapedArray,
      dim: int | batching.NotMapped,
      block_mapping: BlockMapping | None,
  ) -> BlockMapping:
      def _block_map_function(new_idx, *args):
          if block_mapping is None:
              indices = [0] * len(aval.shape)
          else:
              indices = jax_core.eval_jaxpr(
                  block_mapping.index_map_jaxpr.jaxpr,
                  block_mapping.index_map_jaxpr.consts,
                  *args,
              )
          if dim is not batching.not_mapped:
              indices.insert(dim, new_idx)
          return tuple(indices)
  
      i32_aval = jax_core.ShapedArray((), jnp.int32)
      if block_mapping is None:
          idx_avals = [i32_aval] * (len(grid) + 1)
      else:
          idx_avals = [
              i32_aval,
              *block_mapping.index_map_jaxpr.in_avals,
          ]
      block_mapping_jaxpr, _, consts = pe.trace_to_jaxpr_dynamic(
          lu.wrap_init(_block_map_function), idx_avals
      )
      shape = (
          aval.shape
          if block_mapping is None
          else block_mapping.block_shape
      )
      if dim is batching.not_mapped:
          new_block_shape = shape
      else:
          new_block_shape = tuple_insert(shape, dim, pallas_core.mapped)
      jaxpr = jax_core.ClosedJaxpr(block_mapping_jaxpr, consts)
      if block_mapping is None:
          return BlockMapping(
              block_shape=new_block_shape,
              index_map_jaxpr=jaxpr,
              memory_space=None,
          )
      return block_mapping.replace(
          block_shape=new_block_shape, index_map_jaxpr=jaxpr
      )
  
imports: from __future__ import annotations
  from functools import partial
  import itertools
  from typing import Any, Callable
  from collections.abc import Sequence
  import jax
  from jax import api_util
  from jax import tree_util
  from jax import lax
  from jax._src import state
  from jax.interpreters import ad
  from jax.interpreters import batching
  from jax.interpreters import partial_eval
  from jax.interpreters import mlir
  from jax.interpreters import xla
  from jax._src import ad_util
  from jax._src import core
  from jax._src.state import primitives
  from jax._src import linear_util
  from jax._src.state import discharge
  from jax._src.util import split_list, safe_map, safe_zip, weakref_lru_cache, tuple_insert, partition_list, merge_lists
  import jax.numpy
  import numpy
  from jax._src.pallas import core
label_desc: Use image node_id 7 for calling a global function with example usage: _batch_block_mapping(grid, aval, dim, block_mapping) and returns: block_mapping, tuple, BlockMapping