code: def _spsolve_transpose(ct, data, indices, indptr, b, **kwds):
      assert not ad.is_undefined_primal(indices)
      assert not ad.is_undefined_primal(indptr)
      if ad.is_undefined_primal(b):
          # TODO(jakevdp): can we do this without an explicit transpose?
          data_T, indices_T, indptr_T = _csr_transpose(
              data, indices, indptr
          )
          ct_out = spsolve(data_T, indices_T, indptr_T, ct, **kwds)
          return data, indices, indptr, ct_out
      else:
          # Should never reach here, because JVP is linear wrt data.
          raise NotImplementedError(
              "spsolve transpose with respect to data"
          )
  
imports: from __future__ import annotations
  from typing import Union, Callable
  import functools
  import jax
  import jax.numpy
  from jax.experimental import sparse
  from jax.interpreters import mlir
  from jax.interpreters import xla
  from jax._src import core
  from jax._src.interpreters import ad
  from jax._src.lib import gpu_solver
  import numpy
  from scipy.sparse import csr_matrix, linalg
label_desc: Use image node_id 19 for calling a global function with example usage: _spsolve_transpose(ct, data, indices, indptr, b) and returns: data,  indices,  indptr,  ct_out