code: def detsh(H):
      """
      Routine for the computation of determinants of symmetric positive
      matrices
  
      Parameters
      ----------
      H array of shape(n,n)
        the input matrix, assumed symmmetric and positive
  
      Returns
      -------
      dh: float, the determinant
      """
      return np.prod(eigvalsh(H))
  
imports: import math
  import numpy
  import numpy.random
  from scipy.linalg import cholesky, eigvalsh, inv
  from scipy.special import gammaln
  from .gmm import GMM
  from .utils import kmeans
label_desc: Use image node_id 1 for calling a global function with example usage: detsh(H) and returns: np