code: def sinhm(A):
      """
      Compute the hyperbolic matrix sine.
  
      This routine uses expm to compute the matrix exponentials.
  
      Parameters
      ----------
      A : (N, N) array_like
          Input array.
  
      Returns
      -------
      sinhm : (N, N) ndarray
          Hyperbolic matrix sine of `A`
  
      Examples
      --------
      >>> from scipy.linalg import tanhm, sinhm, coshm
      >>> a = np.array([[1.0, 3.0], [1.0, 4.0]])
      >>> s = sinhm(a)
      >>> s
      array([[ 10.57300653,  39.28826594],
             [ 13.09608865,  49.86127247]])
  
      Verify tanhm(a) = sinhm(a).dot(inv(coshm(a)))
  
      >>> t = tanhm(a)
      >>> c = coshm(a)
      >>> t - s.dot(np.linalg.inv(c))
      array([[  2.72004641e-15,   4.55191440e-15],
             [  0.00000000e+00,  -5.55111512e-16]])
  
      """
      A = _asarray_square(A)
      return _maybe_real(A, 0.5 * (expm(A) - expm(-A)))
  
imports: from numpy import Inf, dot, diag, prod, logical_not, ravel, transpose, conjugate, absolute, amax, sign, isfinite, single
  import numpy
  from .misc import norm
  from .basic import solve, inv
  from .special_matrices import triu
  from .decomp_svd import svd
  from .decomp_schur import schur, rsf2csf
  from ._expm_frechet import expm_frechet, expm_cond
  from ._matfuncs_sqrtm import sqrtm
label_desc: Use image node_id 10 for calling a global function with example usage: sinhm(A) and returns: _maybe_real