code: def _exp_sinch(x):
      # Higham's formula (10.42), might overflow, see GH-11839
      lexp_diff = np.diff(np.exp(x))
      l_diff = np.diff(x)
      mask_z = l_diff == 0.0
      lexp_diff[~mask_z] /= l_diff[~mask_z]
      lexp_diff[mask_z] = np.exp(x[:-1][mask_z])
      return lexp_diff
  
imports: from itertools import product
  import numpy
  from numpy import dot, diag, prod, logical_not, ravel, transpose, conjugate, absolute, amax, sign, isfinite, triu
  from numpy.lib.scimath import sqrt
  from scipy.linalg import LinAlgError, bandwidth
  from ._misc import norm
  from ._basic import solve, inv
  from ._decomp_svd import svd
  from ._decomp_schur import schur, rsf2csf
  from ._expm_frechet import expm_frechet, expm_cond
  from ._matfuncs_sqrtm import sqrtm
  from ._matfuncs_expm import pick_pade_structure, pade_UV_calc
  from numpy import single
label_desc: Use image node_id 6 for calling a global function with example usage: _exp_sinch(x) and returns: lexp_diff