code: def test_optuna_search_convert_deprecated_distribution() -> None:
      param_dist = {
          "ud": distributions.UniformDistribution(low=0, high=10),
          "dud": distributions.DiscreteUniformDistribution(
              low=0, high=10, q=2
          ),
          "lud": distributions.LogUniformDistribution(low=1, high=10),
          "id": distributions.IntUniformDistribution(low=0, high=10),
          "idd": distributions.IntUniformDistribution(
              low=0, high=10, step=2
          ),
          "ild": distributions.IntLogUniformDistribution(
              low=1, high=10
          ),
      }
  
      expected_param_dist = {
          "ud": distributions.FloatDistribution(
              low=0, high=10, log=False, step=None
          ),
          "dud": distributions.FloatDistribution(
              low=0, high=10, log=False, step=2
          ),
          "lud": distributions.FloatDistribution(
              low=1, high=10, log=True, step=None
          ),
          "id": distributions.IntDistribution(
              low=0, high=10, log=False, step=1
          ),
          "idd": distributions.IntDistribution(
              low=0, high=10, log=False, step=2
          ),
          "ild": distributions.IntDistribution(
              low=1, high=10, log=True, step=1
          ),
      }
  
      with pytest.raises(ValueError):
          optuna_search = integration.OptunaSearchCV(
              KernelDensity(),
              param_dist,
          )
  
      # It confirms that ask doesn't convert non-deprecated distributions.
      optuna_search = integration.OptunaSearchCV(
          KernelDensity(),
          expected_param_dist,
      )
  
      assert optuna_search.param_distributions == expected_param_dist
  
imports: from __future__ import annotations
  from unittest.mock import MagicMock
  from unittest.mock import patch
  import warnings
  import numpy
  import pytest
  import scipy
  from sklearn.datasets import make_blobs
  from sklearn.datasets import make_regression
  from sklearn.decomposition import PCA
  from sklearn.exceptions import ConvergenceWarning
  from sklearn.exceptions import NotFittedError
  from sklearn.linear_model import LogisticRegression
  from sklearn.linear_model import SGDClassifier
  from sklearn.neighbors import KernelDensity
  from sklearn.tree import DecisionTreeRegressor
  from optuna import distributions
  from optuna import integration
  from optuna.samplers import BruteForceSampler
  from optuna.study import create_study
  from optuna.terminator.erroreval import _CROSS_VALIDATION_SCORES_KEY
label_desc: Use image node_id 19 for calling a global function with example usage: test_optuna_search_convert_deprecated_distribution() without return types