code: def dkl_dirichlet(w1, w2):
      """Returns the KL divergence between two dirichlet distribution
  
      Parameters
      ----------
      w1: array of shape(n),
          the parameters of the first dirichlet density
      w2: array of shape(n),
          the parameters of the second dirichlet density
      """
      if w1.shape != w2.shape:
          raise ValueError("incompatible dimensions for w1 and w2")
  
      dkl = 0
      from scipy.special import gammaln, psi
  
      dkl = np.sum(gammaln(w2)) - np.sum(gammaln(w1))
      dkl += gammaln(np.sum(w1)) - gammaln(np.sum(w2))
      dkl += np.sum((w1 - w2) * (psi(w1) - psi(np.sum(w1))))
      return dkl
  
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 11 for calling a global function with example usage: dkl_dirichlet(w1, w2) and returns: dkl