Improve tests to make them run on variously typed data using the `global_dtype` fixture

## Context: the new `global_dtype` fixture and `SKLEARN_RUN_FLOAT32_TESTS` environment variable

Introduction of low-level computational routines for 32bit motivated an extension of tests to run them on 32bit.

In this regards, https://github.com/scikit-learn/scikit-learn/pull/22690 introduced a new `global_dtype` fixture as well has the `SKLEARN_RUN_FLOAT32_TESTS` env. variable to make it possible to run the test on 32bit data.

Running test on 32bit can be done using `SKLEARN_RUN_FLOAT32_TESTS=1`.

For instance, this run the first `global_dtype`-parametrised test:

```
SKLEARN_RUN_FLOAT32_TESTS=1 pytest sklearn/feature_selection/tests/test_mutual_info.py -k test_compute_mi_cc
```

This allows running tests on 32bit dataset on some CI job, and currently a single CI job is used to run tests on 32bit.

More details about the fixture in the online dev doc for the `SKLEARN_TESTS_GLOBAL_RANDOM_SEED` env variable:

https://scikit-learn.org/dev/computing/parallelism.html#environment-variables

## Guidelines to convert existing tests

- Not all scikit-learn tests must use this fixture. We must parametrise tests that actually assert closeness of results using `assert_allclose`. For instance, tests that check for the exception messages raised when passing invalid inputs must not be converted.

- Tests using `np.testing.assert_allclose` must now use [`sklearn.utils._testing.assert_allclose`](https://github.com/scikit-learn/scikit-learn/blob/613773db11a32cf3acc87f3d33a8139d03707baf/sklearn/utils/_testing.py#L390) as a drop-in replacement.

- Check that the dtype of fitted attributes or return values that depend on the dtype of the input datastructure actually have the expected dtype: typically when all inputs are continuous values in float32, it is often (but not always) the case that scikit-learn should carry all arithmetic operations at that precision level and return output arrays with the same precision level. There can be exceptions, in which case they could be made explicit with an inline comment in the test, possibly with a `TODO` marker when one thing that the current behavior should change (see the related: #11000 and #22682 for instance).

- To avoid having to review huge PRs that impact many files at once and can lead to conflicts, let's open PRs that edit at most one test file at a time. For instance use a title such as:

> TST use global_dtype in sklearn/_loss/tests/test_glm_distribution.py

- Please reference #22881 (i.e. this issue) in the description of the PR and put the full filename of the test file you edit in the title of the PR.

- To convert an existing test with a fixed dtype, the general pattern is to rewrite a function such as:

```python
from numpy.testing import assert_allclose

def test_some_function():
    # ...
    rng = np.random.RandomState(0)
    X = rng.randon.rand(n_samples, n_features)
    y = rng.randon.rand(n_samples).astype(global_dtype)
    model.fit(X, y)
    # ...
    y_pred = model.predict(X)
    assert_allclose(y_pred, y_true)
```

to:

```python
from sklearn.utils._testing import assert_allclose

def test_some_function(global_dtype):
    # ...
    rng = np.random.RandomState(0)
    X = rng.randon.rand(n_samples, n_features).astype(global_dtype, copy=False)
    y = rng.randon.rand(n_samples).astype(global_dtype, copy=False)
    model.fit(X, y)
    # ...
    assert model.fitted_param_.dtype == global_dtype
    y_pred = model.predict(X)
    assert y_pred.dtype == global_dtype
    assert_allclose(y_pred, y_true)
```

and then check that the test is passing on 32bit datasets
```
SKLEARN_RUN_FLOAT32_TESTS=1 pytest sklearn/some_module/test/test_some_module.py -k test_some_function
```

Failures are to be handle on a case-by-case basis.

## List of test modules to upgrade

```
find sklearn -name "test_*.py"
```

- [ ] sklearn/_loss/tests/test_glm_distribution.py
- [ ] sklearn/_loss/tests/test_link.py
- [ ] sklearn/_loss/tests/test_loss.py
- [ ] sklearn/cluster/tests/test_affinity_propagation.py #22667
- [ ] sklearn/cluster/tests/test_bicluster.py
- [ ] sklearn/cluster/tests/test_birch.py #22671
- [ ] sklearn/cluster/tests/test_dbscan.py
- [ ] sklearn/cluster/tests/test_feature_agglomeration.py
- [ ] sklearn/cluster/tests/test_hierarchical.py
- [ ] sklearn/cluster/tests/test_k_means.py
- [x] sklearn/cluster/tests/test_mean_shift.py #22672
- [x] sklearn/cluster/tests/test_optics.py #22665
- [ ] sklearn/cluster/tests/test_spectral.py #22669
- [ ] sklearn/compose/tests/test_column_transformer.py
- [ ] sklearn/compose/tests/test_target.py
- [ ] sklearn/covariance/tests/test_covariance.py
- [ ] sklearn/covariance/tests/test_elliptic_envelope.py
- [ ] sklearn/covariance/tests/test_graphical_lasso.py
- [ ] sklearn/covariance/tests/test_robust_covariance.py
- [ ] sklearn/cross_decomposition/tests/test_pls.py
- [ ] sklearn/datasets/tests/test_20news.py
- [ ] sklearn/datasets/tests/test_base.py
- [ ] sklearn/datasets/tests/test_california_housing.py
- [ ] sklearn/datasets/tests/test_common.py
- [ ] sklearn/datasets/tests/test_covtype.py
- [ ] sklearn/datasets/tests/test_kddcup99.py
- [ ] sklearn/datasets/tests/test_lfw.py
- [ ] sklearn/datasets/tests/test_olivetti_faces.py
- [ ] sklearn/datasets/tests/test_openml.py
- [ ] sklearn/datasets/tests/test_rcv1.py
- [ ] sklearn/datasets/tests/test_samples_generator.py
- [ ] sklearn/datasets/tests/test_svmlight_format.py
- [ ] sklearn/decomposition/tests/test_dict_learning.py
- [ ] sklearn/decomposition/tests/test_factor_analysis.py
- [ ] sklearn/decomposition/tests/test_fastica.py
- [ ] sklearn/decomposition/tests/test_incremental_pca.py
- [ ] sklearn/decomposition/tests/test_kernel_pca.py
- [ ] sklearn/decomposition/tests/test_nmf.py
- [ ] sklearn/decomposition/tests/test_online_lda.py
- [ ] sklearn/decomposition/tests/test_pca.py
- [ ] sklearn/decomposition/tests/test_sparse_pca.py
- [ ] sklearn/decomposition/tests/test_truncated_svd.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_binning.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_bitset.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_compare_lightgbm.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_gradient_boosting.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_grower.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_histogram.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_monotonic_contraints.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_predictor.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_splitting.py
- [ ] sklearn/ensemble/_hist_gradient_boosting/tests/test_warm_start.py
- [ ] sklearn/ensemble/tests/test_bagging.py
- [ ] sklearn/ensemble/tests/test_base.py
- [ ] sklearn/ensemble/tests/test_common.py
- [ ] sklearn/ensemble/tests/test_forest.py
- [ ] sklearn/ensemble/tests/test_gradient_boosting_loss_functions.py
- [ ] sklearn/ensemble/tests/test_gradient_boosting.py
- [ ] sklearn/ensemble/tests/test_iforest.py
- [ ] sklearn/ensemble/tests/test_stacking.py
- [ ] sklearn/ensemble/tests/test_voting.py
- [ ] sklearn/ensemble/tests/test_weight_boosting.py
- [ ] sklearn/experimental/tests/test_enable_hist_gradient_boosting.py
- [ ] sklearn/experimental/tests/test_enable_iterative_imputer.py
- [ ] sklearn/experimental/tests/test_enable_successive_halving.py
- [ ] sklearn/feature_extraction/tests/test_dict_vectorizer.py
- [ ] sklearn/feature_extraction/tests/test_feature_hasher.py
- [ ] sklearn/feature_extraction/tests/test_image.py
- [ ] sklearn/feature_extraction/tests/test_text.py
- [ ] sklearn/feature_selection/tests/test_base.py
- [ ] sklearn/feature_selection/tests/test_chi2.py
- [ ] sklearn/feature_selection/tests/test_feature_select.py
- [ ] sklearn/feature_selection/tests/test_from_model.py
- [x] sklearn/feature_selection/tests/test_mutual_info.py #22677
- [ ] sklearn/feature_selection/tests/test_rfe.py
- [ ] sklearn/feature_selection/tests/test_sequential.py
- [ ] sklearn/feature_selection/tests/test_variance_threshold.py
- [ ] sklearn/gaussian_process/tests/test_gpc.py
- [ ] sklearn/gaussian_process/tests/test_gpr.py
- [ ] sklearn/gaussian_process/tests/test_kernels.py
- [ ] sklearn/impute/tests/test_base.py
- [ ] sklearn/impute/tests/test_common.py
- [ ] sklearn/impute/tests/test_impute.py
- [ ] sklearn/impute/tests/test_knn.py
- [ ] sklearn/inspection/_plot/tests/test_plot_partial_dependence.py
- [ ] sklearn/inspection/tests/test_partial_dependence.py
- [ ] sklearn/inspection/tests/test_permutation_importance.py
- [ ] sklearn/linear_model/_glm/tests/test_glm.py
- [ ] sklearn/linear_model/_glm/tests/test_link.py
- [ ] sklearn/linear_model/tests/test_base.py
- [ ] sklearn/linear_model/tests/test_bayes.py
- [ ] sklearn/linear_model/tests/test_common.py
- [ ] sklearn/linear_model/tests/test_coordinate_descent.py
- [ ] sklearn/linear_model/tests/test_huber.py
- [ ] sklearn/linear_model/tests/test_least_angle.py
- [ ] sklearn/linear_model/tests/test_linear_loss.py
- [ ] sklearn/linear_model/tests/test_logistic.py
- [ ] sklearn/linear_model/tests/test_omp.py
- [ ] sklearn/linear_model/tests/test_passive_aggressive.py
- [ ] sklearn/linear_model/tests/test_perceptron.py
- [ ] sklearn/linear_model/tests/test_quantile.py
- [ ] sklearn/linear_model/tests/test_ransac.py
- [ ] sklearn/linear_model/tests/test_ridge.py
- [ ] sklearn/linear_model/tests/test_sag.py
- [ ] sklearn/linear_model/tests/test_sgd.py
- [ ] sklearn/linear_model/tests/test_sparse_coordinate_descent.py
- [ ] sklearn/linear_model/tests/test_theil_sen.py
- [x] sklearn/manifold/tests/test_isomap.py #22673
- [x] sklearn/manifold/tests/test_locally_linear.py #22676
- [ ] sklearn/manifold/tests/test_mds.py
- [ ] sklearn/manifold/tests/test_spectral_embedding.py
- [ ] sklearn/manifold/tests/test_t_sne.py #22675
- [ ] sklearn/metrics/_plot/tests/test_base.py
- [ ] sklearn/metrics/_plot/tests/test_common_curve_display.py
- [ ] sklearn/metrics/_plot/tests/test_confusion_matrix_display.py
- [ ] sklearn/metrics/_plot/tests/test_det_curve_display.py
- [ ] sklearn/metrics/_plot/tests/test_plot_confusion_matrix.py
- [ ] sklearn/metrics/_plot/tests/test_plot_curve_common.py
- [ ] sklearn/metrics/_plot/tests/test_plot_det_curve.py
- [ ] sklearn/metrics/_plot/tests/test_plot_precision_recall.py
- [ ] sklearn/metrics/_plot/tests/test_plot_roc_curve.py
- [ ] sklearn/metrics/_plot/tests/test_precision_recall_display.py
- [ ] sklearn/metrics/_plot/tests/test_roc_curve_display.py
- [ ] sklearn/metrics/cluster/tests/test_bicluster.py
- [ ] sklearn/metrics/cluster/tests/test_common.py
- [ ] sklearn/metrics/cluster/tests/test_supervised.py
- [ ] sklearn/metrics/cluster/tests/test_unsupervised.py
- [ ] sklearn/metrics/tests/test_classification.py
- [ ] sklearn/metrics/tests/test_common.py
- [ ] sklearn/metrics/tests/test_dist_metrics.py
- [ ] sklearn/metrics/tests/test_pairwise_distances_reduction.py
- [x] sklearn/metrics/tests/test_pairwise.py #22666
- [ ] sklearn/metrics/tests/test_ranking.py
- [ ] sklearn/metrics/tests/test_regression.py
- [ ] sklearn/metrics/tests/test_score_objects.py
- [ ] sklearn/mixture/tests/test_bayesian_mixture.py
- [ ] sklearn/mixture/tests/test_gaussian_mixture.py
- [ ] sklearn/mixture/tests/test_mixture.py
- [ ] sklearn/model_selection/tests/test_search.py
- [ ] sklearn/model_selection/tests/test_split.py
- [ ] sklearn/model_selection/tests/test_successive_halving.py
- [ ] sklearn/model_selection/tests/test_validation.py
- [ ] sklearn/neighbors/tests/test_ball_tree.py
- [ ] sklearn/neighbors/tests/test_graph.py
- [ ] sklearn/neighbors/tests/test_kd_tree.py
- [ ] sklearn/neighbors/tests/test_kde.py
- [ ] sklearn/neighbors/tests/test_lof.py #22665
- [ ] sklearn/neighbors/tests/test_nca.py
- [ ] sklearn/neighbors/tests/test_nearest_centroid.py
- [ ] sklearn/neighbors/tests/test_neighbors_pipeline.py
- [ ] sklearn/neighbors/tests/test_neighbors_tree.py
- [x] sklearn/neighbors/tests/test_neighbors.py #22663
- [ ] sklearn/neighbors/tests/test_quad_tree.py
- [ ] sklearn/neural_network/tests/test_base.py
- [ ] sklearn/neural_network/tests/test_mlp.py
- [ ] sklearn/neural_network/tests/test_rbm.py
- [ ] sklearn/neural_network/tests/test_stochastic_optimizers.py
- [ ] sklearn/preprocessing/tests/test_common.py
- [ ] sklearn/preprocessing/tests/test_data.py
- [ ] sklearn/preprocessing/tests/test_discretization.py
- [ ] sklearn/preprocessing/tests/test_encoders.py
- [ ] sklearn/preprocessing/tests/test_function_transformer.py
- [ ] sklearn/preprocessing/tests/test_label.py
- [ ] sklearn/preprocessing/tests/test_polynomial.py
- [ ] sklearn/semi_supervised/tests/test_label_propagation.py
- [ ] sklearn/semi_supervised/tests/test_self_training.py
- [ ] sklearn/svm/tests/test_bounds.py
- [ ] sklearn/svm/tests/test_sparse.py
- [ ] sklearn/svm/tests/test_svm.py
- [ ] sklearn/tests/test_base.py
- [ ] sklearn/tests/test_build.py
- [ ] sklearn/tests/test_calibration.py
- [ ] sklearn/tests/test_check_build.py
- [ ] sklearn/tests/test_common.py
- [ ] sklearn/tests/test_config.py
- [ ] sklearn/tests/test_discriminant_analysis.py
- [ ] sklearn/tests/test_docstring_parameters.py
- [ ] sklearn/tests/test_docstrings.py
- [ ] sklearn/tests/test_dummy.py
- [ ] sklearn/tests/test_init.py
- [ ] sklearn/tests/test_isotonic.py
- [ ] sklearn/tests/test_kernel_approximation.py
- [ ] sklearn/tests/test_kernel_ridge.py
- [ ] sklearn/tests/test_metaestimators.py
- [ ] sklearn/tests/test_min_dependencies_readme.py
- [ ] sklearn/tests/test_multiclass.py
- [ ] sklearn/tests/test_multioutput.py
- [ ] sklearn/tests/test_naive_bayes.py
- [ ] sklearn/tests/test_pipeline.py
- [ ] sklearn/tests/test_random_projection.py
- [ ] sklearn/tree/tests/test_export.py
- [ ] sklearn/tree/tests/test_reingold_tilford.py
- [ ] sklearn/tree/tests/test_tree.py
- [ ] sklearn/utils/tests/test_arpack.py
- [ ] sklearn/utils/tests/test_arrayfuncs.py
- [ ] sklearn/utils/tests/test_class_weight.py
- [ ] sklearn/utils/tests/test_cython_blas.py
- [ ] sklearn/utils/tests/test_cython_templating.py
- [ ] sklearn/utils/tests/test_deprecation.py
- [ ] sklearn/utils/tests/test_encode.py
- [ ] sklearn/utils/tests/test_estimator_checks.py
- [ ] sklearn/utils/tests/test_estimator_html_repr.py
- [ ] sklearn/utils/tests/test_extmath.py
- [ ] sklearn/utils/tests/test_fast_dict.py
- [ ] sklearn/utils/tests/test_fixes.py
- [ ] sklearn/utils/tests/test_graph.py
- [ ] sklearn/utils/tests/test_metaestimators.py
- [ ] sklearn/utils/tests/test_mocking.py
- [ ] sklearn/utils/tests/test_multiclass.py
- [ ] sklearn/utils/tests/test_murmurhash.py
- [ ] sklearn/utils/tests/test_optimize.py
- [ ] sklearn/utils/tests/test_parallel.py
- [ ] sklearn/utils/tests/test_pprint.py
- [ ] sklearn/utils/tests/test_random.py
- [ ] sklearn/utils/tests/test_readonly_wrapper.py
- [ ] sklearn/utils/tests/test_seq_dataset.py
- [ ] sklearn/utils/tests/test_shortest_path.py
- [ ] sklearn/utils/tests/test_show_versions.py
- [ ] sklearn/utils/tests/test_sparsefuncs.py
- [ ] sklearn/utils/tests/test_stats.py
- [ ] sklearn/utils/tests/test_tags.py
- [ ] sklearn/utils/tests/test_testing.py
- [ ] sklearn/utils/tests/test_utils.py
- [ ] sklearn/utils/tests/test_validation.py
- [ ] sklearn/utils/tests/test_weight_vector.py

Note that some of those files might not have any test to update.

COMMENT:
@adam2392: some estimators aren't preserving the provided input dtype.

In that case, it still makes sense to extend the tests adding TODO, as explained in the description of this issue:

> Check that the dtype of fitted attributes or return values that depend on the dtype of the input datastructure actually have the expected dtype: typically when all inputs are continuous values in float32, it is often (but not always) the case that scikit-learn should carry all arithmetic operations at that precision level and return output arrays with the same precision level. There can be exceptions, in which case they could be made explicit with an inline comment in the test, possibly with a TODO marker when one thing that the current behavior should change (see the related: https://github.com/scikit-learn/scikit-learn/issues/11000 and https://github.com/scikit-learn/scikit-learn/issues/22682 for instance).

Labels: help wanted, Hard, module:test-suite, Meta-issue, float32