code: def test_k_means_function(setup):
      # test calling the k_means function directly
  
      # non centered, sparse centers to check the
      centers = np.array(
          [
              [0.0, 5.0, 0.0, 0.0, 0.0],
              [1.0, 1.0, 4.0, 0.0, 0.0],
              [1.0, 0.0, 0.0, 5.0, 1.0],
          ]
      )
      n_samples = 100
      n_clusters, n_features = centers.shape
      X, true_labels = make_blobs(
          n_samples=n_samples,
          centers=centers,
          cluster_std=1.0,
          random_state=42,
      )
  
      # catch output
      old_stdout = sys.stdout
      sys.stdout = StringIO()
      try:
          cluster_centers, labels, inertia = k_means(
              X,
              n_clusters=n_clusters,
              sample_weight=None,
              verbose=True,
              init="k-means++",
          )
      finally:
          sys.stdout = old_stdout
      centers = cluster_centers
      assert centers.shape == (n_clusters, n_features)
  
      labels = labels.fetch()
      assert np.unique(labels).shape[0] == n_clusters
  
      # check that the labels assignment are perfect (up to a permutation)
      assert v_measure_score(true_labels, labels) == 1.0
      assert inertia > 0.0
  
      # check warning when centers are passed
      with pytest.warns(RuntimeWarning):
          k_means(
              X,
              n_clusters=n_clusters,
              sample_weight=None,
              init=centers,
          )
  
      # to many clusters desired
      with pytest.raises(ValueError):
          k_means(
              X,
              n_clusters=X.shape[0] + 1,
              sample_weight=None,
              init="k-means++",
          )
  
imports: import sys
  from io import StringIO
  import numpy
  import pytest
  import scipy.sparse
  from ....None import tensor
  from ....core import TileableGraphBuilder, TileableGraph, ChunkGraphBuilder
  from ....config import options
  from ..None import KMeans, k_means
  from .._kmeans import _init_centroids
label_desc: Use image node_id 16 for calling a global function with example usage: test_k_means_function(setup) without return types