
from functools import partial
from itertools import product
import warnings

import numpy as np
from scipy import linalg
import pytest

from sklearn import datasets
from sklearn import svm

from sklearn.datasets import make_multilabel_classification
from sklearn.preprocessing import label_binarize, LabelBinarizer
from sklearn.utils.validation import check_random_state
from sklearn.utils.testing import assert_raises, clean_warning_registry
from sklearn.utils.testing import assert_raise_message
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_warns
from sklearn.utils.testing import assert_warns_div0
from sklearn.utils.testing import assert_no_warnings
from sklearn.utils.testing import assert_warns_message
from sklearn.utils.testing import assert_not_equal
from sklearn.utils.testing import ignore_warnings
from sklearn.utils.mocking import MockDataFrame

from sklearn.metrics import accuracy_score
from sklearn.metrics import average_precision_score
from sklearn.metrics import balanced_accuracy_score
from sklearn.metrics import classification_report
from sklearn.metrics import cohen_kappa_score
from sklearn.metrics import confusion_matrix
from sklearn.metrics import f1_score
from sklearn.metrics import fbeta_score
from sklearn.metrics import hamming_loss
from sklearn.metrics import hinge_loss
from sklearn.metrics import jaccard_score
from sklearn.metrics import jaccard_similarity_score
from sklearn.metrics import log_loss
from sklearn.metrics import matthews_corrcoef
from sklearn.metrics import precision_recall_fscore_support
from sklearn.metrics import precision_score
from sklearn.metrics import recall_score
from sklearn.metrics import zero_one_loss
from sklearn.metrics import brier_score_loss
from sklearn.metrics import multilabel_confusion_matrix

from sklearn.metrics.classification import _check_targets
from sklearn.exceptions import UndefinedMetricWarning

from scipy.spatial.distance import hamming as sp_hamming

###############################################################################
# Utilities for testing


def make_prediction(dataset=None, binary=False):
    """Make some classification predictions on a toy dataset using a SVC

    If binary is True restrict to a binary classification problem instead of a
    multiclass classification problem
    """

    if dataset is None:
        # import some data to play with
        dataset = datasets.load_iris()

    X = dataset.data
    y = dataset.target

    if binary:
        # restrict to a binary classification task
        X, y = X[y < 2], y[y < 2]

    n_samples, n_features = X.shape
    p = np.arange(n_samples)

    rng = check_random_state(37)
    rng.shuffle(p)
    X, y = X[p], y[p]
    half = int(n_samples / 2)

    # add noisy features to make the problem harder and avoid perfect results
    rng = np.random.RandomState(0)
    X = np.c_[X, rng.randn(n_samples, 200 * n_features)]

    # run classifier, get class probabilities and label predictions
    clf = svm.SVC(kernel='linear', probability=True, random_state=0)
    probas_pred = clf.fit(X[:half], y[:half]).predict_proba(X[half:])

    if binary:
        # only interested in probabilities of the positive case
        # XXX: do we really want a special API for the binary case?
        probas_pred = probas_pred[:, 1]

    y_pred = clf.predict(X[half:])
    y_true = y[half:]
    return y_true, y_pred, probas_pred


###############################################################################
# Tests

def test_classification_report_dictionary_output():

    # Test performance report with dictionary output
    iris = datasets.load_iris()
    y_true, y_pred, _ = make_prediction(dataset=iris, binary=False)

    # print classification report with class names
    expected_report = {'setosa': {'precision': 0.82608695652173914,
                                  'recall': 0.79166666666666663,
                                  'f1-score': 0.8085106382978724,
                                  'support': 24},
                       'versicolor': {'precision': 0.33333333333333331,
                                      'recall': 0.096774193548387094,
                                      'f1-score': 0.15000000000000002,
                                      'support': 31},
                       'virginica': {'precision': 0.41860465116279072,
                                     'recall': 0.90000000000000002,
                                     'f1-score': 0.57142857142857151,
                                     'support': 20},
                       'macro avg': {'f1-score': 0.5099797365754813,
                                     'precision': 0.5260083136726211,
                                     'recall': 0.596146953405018,
                                     'support': 75},
                       'accuracy': 0.5333333333333333,
                       'weighted avg': {'f1-score': 0.47310435663627154,
                                        'precision': 0.5137535108414785,
                                        'recall': 0.5333333333333333,
                                        'support': 75}}

    report = classification_report(
        y_true, y_pred, labels=np.arange(len(iris.target_names)),
        target_names=iris.target_names, output_dict=True)

    # assert the 2 dicts are equal.
    assert(report.keys() == expected_report.keys())
    for key in expected_report:
        if key == 'accuracy':
            assert isinstance(report[key], float)
            assert report[key] == expected_report[key]
        else:
            assert report[key].keys() == expected_report[key].keys()
            for metric in expected_report[key]:
                assert_almost_equal(expected_report[key][metric],
                                    report[key][metric])

    assert type(expected_report['setosa']['precision']) == float
    assert type(expected_report['macro avg']['precision']) == float
    assert type(expected_report['setosa']['support']) == int
    assert type(expected_report['macro avg']['support']) == int


def test_multilabel_accuracy_score_subset_accuracy():
    # Dense label indicator matrix format
    y1 = np.array([[0, 1, 1], [1, 0, 1]])
    y2 = np.array([[0, 0, 1], [1, 0, 1]])

    assert_equal(accuracy_score(y1, y2), 0.5)
    assert_equal(accuracy_score(y1, y1), 1)
    assert_equal(accuracy_score(y2, y2), 1)
    assert_equal(accuracy_score(y2, np.logical_not(y2)), 0)
    assert_equal(accuracy_score(y1, np.logical_not(y1)), 0)
    assert_equal(accuracy_score(y1, np.zeros(y1.shape)), 0)
    assert_equal(accuracy_score(y2, np.zeros(y1.shape)), 0)


def test_precision_recall_f1_score_binary():
    # Test Precision Recall and F1 Score for binary classification task
    y_true, y_pred, _ = make_prediction(binary=True)

    # detailed measures for each class
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred, average=None)
    assert_array_almost_equal(p, [0.73, 0.85], 2)
    assert_array_almost_equal(r, [0.88, 0.68], 2)
    assert_array_almost_equal(f, [0.80, 0.76], 2)
    assert_array_equal(s, [25, 25])

    # individual scoring function that can be used for grid search: in the
    # binary class case the score is the value of the measure for the positive
    # class (e.g. label == 1). This is deprecated for average != 'binary'.
    for kwargs, my_assert in [({}, assert_no_warnings),
                              ({'average': 'binary'}, assert_no_warnings)]:
        ps = my_assert(precision_score, y_true, y_pred, **kwargs)
        assert_array_almost_equal(ps, 0.85, 2)

        rs = my_assert(recall_score, y_true, y_pred, **kwargs)
        assert_array_almost_equal(rs, 0.68, 2)

        fs = my_assert(f1_score, y_true, y_pred, **kwargs)
        assert_array_almost_equal(fs, 0.76, 2)

        assert_almost_equal(my_assert(fbeta_score, y_true, y_pred, beta=2,
                                      **kwargs),
                            (1 + 2 ** 2) * ps * rs / (2 ** 2 * ps + rs), 2)


@ignore_warnings
def test_precision_recall_f_binary_single_class():
    # Test precision, recall and F1 score behave with a single positive or
    # negative class
    # Such a case may occur with non-stratified cross-validation
    assert_equal(1., precision_score([1, 1], [1, 1]))
    assert_equal(1., recall_score([1, 1], [1, 1]))
    assert_equal(1., f1_score([1, 1], [1, 1]))

    assert_equal(0., precision_score([-1, -1], [-1, -1]))
    assert_equal(0., recall_score([-1, -1], [-1, -1]))
    assert_equal(0., f1_score([-1, -1], [-1, -1]))


@ignore_warnings
def test_precision_recall_f_extra_labels():
    # Test handling of explicit additional (not in input) labels to PRF
    y_true = [1, 3, 3, 2]
    y_pred = [1, 1, 3, 2]
    y_true_bin = label_binarize(y_true, classes=np.arange(5))
    y_pred_bin = label_binarize(y_pred, classes=np.arange(5))
    data = [(y_true, y_pred),
            (y_true_bin, y_pred_bin)]

    for i, (y_true, y_pred) in enumerate(data):
        # No average: zeros in array
        actual = recall_score(y_true, y_pred, labels=[0, 1, 2, 3, 4],
                              average=None)
        assert_array_almost_equal([0., 1., 1., .5, 0.], actual)

        # Macro average is changed
        actual = recall_score(y_true, y_pred, labels=[0, 1, 2, 3, 4],
                              average='macro')
        assert_array_almost_equal(np.mean([0., 1., 1., .5, 0.]), actual)

        # No effect otheriwse
        for average in ['micro', 'weighted', 'samples']:
            if average == 'samples' and i == 0:
                continue
            assert_almost_equal(recall_score(y_true, y_pred,
                                             labels=[0, 1, 2, 3, 4],
                                             average=average),
                                recall_score(y_true, y_pred, labels=None,
                                             average=average))

    # Error when introducing invalid label in multilabel case
    # (although it would only affect performance if average='macro'/None)
    for average in [None, 'macro', 'micro', 'samples']:
        assert_raises(ValueError, recall_score, y_true_bin, y_pred_bin,
                      labels=np.arange(6), average=average)
        assert_raises(ValueError, recall_score, y_true_bin, y_pred_bin,
                      labels=np.arange(-1, 4), average=average)

    # tests non-regression on issue #10307
    y_true = np.array([[0, 1, 1], [1, 0, 0]])
    y_pred = np.array([[1, 1, 1], [1, 0, 1]])
    p, r, f, _ = precision_recall_fscore_support(y_true, y_pred,
                                                 average='samples',
                                                 labels=[0, 1])
    assert_almost_equal(np.array([p, r, f]), np.array([3 / 4, 1, 5 / 6]))


@ignore_warnings
def test_precision_recall_f_ignored_labels():
    # Test a subset of labels may be requested for PRF
    y_true = [1, 1, 2, 3]
    y_pred = [1, 3, 3, 3]
    y_true_bin = label_binarize(y_true, classes=np.arange(5))
    y_pred_bin = label_binarize(y_pred, classes=np.arange(5))
    data = [(y_true, y_pred),
            (y_true_bin, y_pred_bin)]

    for i, (y_true, y_pred) in enumerate(data):
        recall_13 = partial(recall_score, y_true, y_pred, labels=[1, 3])
        recall_all = partial(recall_score, y_true, y_pred, labels=None)

        assert_array_almost_equal([.5, 1.], recall_13(average=None))
        assert_almost_equal((.5 + 1.) / 2, recall_13(average='macro'))
        assert_almost_equal((.5 * 2 + 1. * 1) / 3,
                            recall_13(average='weighted'))
        assert_almost_equal(2. / 3, recall_13(average='micro'))

        # ensure the above were meaningful tests:
        for average in ['macro', 'weighted', 'micro']:
            assert_not_equal(recall_13(average=average),
                             recall_all(average=average))


def test_average_precision_score_score_non_binary_class():
    # Test that average_precision_score function returns an error when trying
    # to compute average_precision_score for multiclass task.
    rng = check_random_state(404)
    y_pred = rng.rand(10)

    # y_true contains three different class values
    y_true = rng.randint(0, 3, size=10)
    assert_raise_message(ValueError, "multiclass format is not supported",
                         average_precision_score, y_true, y_pred)


def test_average_precision_score_duplicate_values():
    # Duplicate values with precision-recall require a different
    # processing than when computing the AUC of a ROC, because the
    # precision-recall curve is a decreasing curve
    # The following situation corresponds to a perfect
    # test statistic, the average_precision_score should be 1
    y_true = [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]
    y_score = [0, .1, .1, .4, .5, .6, .6, .9, .9, 1, 1]
    assert_equal(average_precision_score(y_true, y_score), 1)


def test_average_precision_score_tied_values():
    # Here if we go from left to right in y_true, the 0 values are
    # are separated from the 1 values, so it appears that we've
    # Correctly sorted our classifications. But in fact the first two
    # values have the same score (0.5) and so the first two values
    # could be swapped around, creating an imperfect sorting. This
    # imperfection should come through in the end score, making it less
    # than one.
    y_true = [0, 1, 1]
    y_score = [.5, .5, .6]
    assert_not_equal(average_precision_score(y_true, y_score), 1.)


@ignore_warnings
def test_precision_recall_fscore_support_errors():
    y_true, y_pred, _ = make_prediction(binary=True)

    # Bad beta
    assert_raises(ValueError, precision_recall_fscore_support,
                  y_true, y_pred, beta=0.0)

    # Bad pos_label
    assert_raises(ValueError, precision_recall_fscore_support,
                  y_true, y_pred, pos_label=2, average='binary')

    # Bad average option
    assert_raises(ValueError, precision_recall_fscore_support,
                  [0, 1, 2], [1, 2, 0], average='mega')


def test_precision_recall_f_unused_pos_label():
    # Check warning that pos_label unused when set to non-default value
    # but average != 'binary'; even if data is binary.
    assert_warns_message(UserWarning,
                         "Note that pos_label (set to 2) is "
                         "ignored when average != 'binary' (got 'macro'). You "
                         "may use labels=[pos_label] to specify a single "
                         "positive class.", precision_recall_fscore_support,
                         [1, 2, 1], [1, 2, 2], pos_label=2, average='macro')


def test_confusion_matrix_binary():
    # Test confusion matrix - binary classification case
    y_true, y_pred, _ = make_prediction(binary=True)

    def test(y_true, y_pred):
        cm = confusion_matrix(y_true, y_pred)
        assert_array_equal(cm, [[22, 3], [8, 17]])

        tp, fp, fn, tn = cm.flatten()
        num = (tp * tn - fp * fn)
        den = np.sqrt((tp + fp) * (tp + fn) * (tn + fp) * (tn + fn))

        true_mcc = 0 if den == 0 else num / den
        mcc = matthews_corrcoef(y_true, y_pred)
        assert_array_almost_equal(mcc, true_mcc, decimal=2)
        assert_array_almost_equal(mcc, 0.57, decimal=2)

    test(y_true, y_pred)
    test([str(y) for y in y_true],
         [str(y) for y in y_pred])


def test_multilabel_confusion_matrix_binary():
    # Test multilabel confusion matrix - binary classification case
    y_true, y_pred, _ = make_prediction(binary=True)

    def test(y_true, y_pred):
        cm = multilabel_confusion_matrix(y_true, y_pred)
        assert_array_equal(cm, [[[17, 8], [3, 22]],
                                [[22, 3], [8, 17]]])

    test(y_true, y_pred)
    test([str(y) for y in y_true],
         [str(y) for y in y_pred])


def test_multilabel_confusion_matrix_multiclass():
    # Test multilabel confusion matrix - multi-class case
    y_true, y_pred, _ = make_prediction(binary=False)

    def test(y_true, y_pred, string_type=False):
        # compute confusion matrix with default labels introspection
        cm = multilabel_confusion_matrix(y_true, y_pred)
        assert_array_equal(cm, [[[47, 4], [5, 19]],
                                [[38, 6], [28, 3]],
                                [[30, 25], [2, 18]]])

        # compute confusion matrix with explicit label ordering
        labels = ['0', '2', '1'] if string_type else [0, 2, 1]
        cm = multilabel_confusion_matrix(y_true, y_pred, labels=labels)
        assert_array_equal(cm, [[[47, 4], [5, 19]],
                                [[30, 25], [2, 18]],
                                [[38, 6], [28, 3]]])

        # compute confusion matrix with super set of present labels
        labels = ['0', '2', '1', '3'] if string_type else [0, 2, 1, 3]
        cm = multilabel_confusion_matrix(y_true, y_pred, labels=labels)
        assert_array_equal(cm, [[[47, 4], [5, 19]],
                                [[30, 25], [2, 18]],
                                [[38, 6], [28, 3]],
                                [[75, 0], [0, 0]]])

    test(y_true, y_pred)
    test(list(str(y) for y in y_true),
         list(str(y) for y in y_pred),
         string_type=True)


def test_multilabel_confusion_matrix_multilabel():
    # Test multilabel confusion matrix - multilabel-indicator case
    from scipy.sparse import csc_matrix, csr_matrix

    y_true = np.array([[1, 0, 1], [0, 1, 0], [1, 1, 0]])
    y_pred = np.array([[1, 0, 0], [0, 1, 1], [0, 0, 1]])
    y_true_csr = csr_matrix(y_true)
    y_pred_csr = csr_matrix(y_pred)
    y_true_csc = csc_matrix(y_true)
    y_pred_csc = csc_matrix(y_pred)

    # cross test different types
    sample_weight = np.array([2, 1, 3])
    real_cm = [[[1, 0], [1, 1]],
               [[1, 0], [1, 1]],
               [[0, 2], [1, 0]]]
    trues = [y_true, y_true_csr, y_true_csc]
    preds = [y_pred, y_pred_csr, y_pred_csc]

    for y_true_tmp in trues:
        for y_pred_tmp in preds:
            cm = multilabel_confusion_matrix(y_true_tmp, y_pred_tmp)
            assert_array_equal(cm, real_cm)

    # test support for samplewise
    cm = multilabel_confusion_matrix(y_true, y_pred, samplewise=True)
    assert_array_equal(cm, [[[1, 0], [1, 1]],
                            [[1, 1], [0, 1]],
                            [[0, 1], [2, 0]]])

    # test support for labels
    cm = multilabel_confusion_matrix(y_true, y_pred, labels=[2, 0])
    assert_array_equal(cm, [[[0, 2], [1, 0]],
                            [[1, 0], [1, 1]]])

    # test support for labels with samplewise
    cm = multilabel_confusion_matrix(y_true, y_pred, labels=[2, 0],
                                     samplewise=True)
    assert_array_equal(cm, [[[0, 0], [1, 1]],
                            [[1, 1], [0, 0]],
                            [[0, 1], [1, 0]]])

    # test support for sample_weight with sample_wise
    cm = multilabel_confusion_matrix(y_true, y_pred,
                                     sample_weight=sample_weight,
                                     samplewise=True)
    assert_array_equal(cm, [[[2, 0], [2, 2]],
                            [[1, 1], [0, 1]],
                            [[0, 3], [6, 0]]])


def test_multilabel_confusion_matrix_errors():
    y_true = np.array([[1, 0, 1], [0, 1, 0], [1, 1, 0]])
    y_pred = np.array([[1, 0, 0], [0, 1, 1], [0, 0, 1]])

    # Bad sample_weight
    assert_raise_message(ValueError, "inconsistent numbers of samples",
                         multilabel_confusion_matrix,
                         y_true, y_pred, sample_weight=[1, 2])
    assert_raise_message(ValueError, "bad input shape",
                         multilabel_confusion_matrix,
                         y_true, y_pred,
                         sample_weight=[[1, 2, 3],
                                        [2, 3, 4],
                                        [3, 4, 5]])

    # Bad labels
    assert_raise_message(ValueError, "All labels must be in [0, n labels)",
                         multilabel_confusion_matrix,
                         y_true, y_pred, labels=[-1])
    assert_raise_message(ValueError, "All labels must be in [0, n labels)",
                         multilabel_confusion_matrix,
                         y_true, y_pred, labels=[3])

    # Using samplewise outside multilabel
    assert_raise_message(ValueError, "Samplewise metrics",
                         multilabel_confusion_matrix,
                         [0, 1, 2], [1, 2, 0], samplewise=True)

    # Bad y_type
    assert_raise_message(ValueError, "multiclass-multioutput is not supported",
                         multilabel_confusion_matrix,
                         [[0, 1, 2], [2, 1, 0]],
                         [[1, 2, 0], [1, 0, 2]])


def test_cohen_kappa():
    # These label vectors reproduce the contingency matrix from Artstein and
    # Poesio (2008), Table 1: np.array([[20, 20], [10, 50]]).
    y1 = np.array([0] * 40 + [1] * 60)
    y2 = np.array([0] * 20 + [1] * 20 + [0] * 10 + [1] * 50)
    kappa = cohen_kappa_score(y1, y2)
    assert_almost_equal(kappa, .348, decimal=3)
    assert_equal(kappa, cohen_kappa_score(y2, y1))

    # Add spurious labels and ignore them.
    y1 = np.append(y1, [2] * 4)
    y2 = np.append(y2, [2] * 4)
    assert_equal(cohen_kappa_score(y1, y2, labels=[0, 1]), kappa)

    assert_almost_equal(cohen_kappa_score(y1, y1), 1.)

    # Multiclass example: Artstein and Poesio, Table 4.
    y1 = np.array([0] * 46 + [1] * 44 + [2] * 10)
    y2 = np.array([0] * 52 + [1] * 32 + [2] * 16)
    assert_almost_equal(cohen_kappa_score(y1, y2), .8013, decimal=4)

    # Weighting example: none, linear, quadratic.
    y1 = np.array([0] * 46 + [1] * 44 + [2] * 10)
    y2 = np.array([0] * 50 + [1] * 40 + [2] * 10)
    assert_almost_equal(cohen_kappa_score(y1, y2), .9315, decimal=4)
    assert_almost_equal(cohen_kappa_score(y1, y2,
                        weights="linear"), 0.9412, decimal=4)
    assert_almost_equal(cohen_kappa_score(y1, y2,
                        weights="quadratic"), 0.9541, decimal=4)


@ignore_warnings
def test_matthews_corrcoef_nan():
    assert_equal(matthews_corrcoef([0], [1]), 0.0)
    assert_equal(matthews_corrcoef([0, 0], [0, 1]), 0.0)


def test_matthews_corrcoef_against_numpy_corrcoef():
    rng = np.random.RandomState(0)
    y_true = rng.randint(0, 2, size=20)
    y_pred = rng.randint(0, 2, size=20)

    assert_almost_equal(matthews_corrcoef(y_true, y_pred),
                        np.corrcoef(y_true, y_pred)[0, 1], 10)


def test_matthews_corrcoef_against_jurman():
    # Check that the multiclass matthews_corrcoef agrees with the definition
    # presented in Jurman, Riccadonna, Furlanello, (2012). A Comparison of MCC
    # and CEN Error Measures in MultiClass Prediction
    rng = np.random.RandomState(0)
    y_true = rng.randint(0, 2, size=20)
    y_pred = rng.randint(0, 2, size=20)
    sample_weight = rng.rand(20)

    C = confusion_matrix(y_true, y_pred, sample_weight=sample_weight)
    N = len(C)
    cov_ytyp = sum([
        C[k, k] * C[m, l] - C[l, k] * C[k, m]
        for k in range(N) for m in range(N) for l in range(N)
    ])
    cov_ytyt = sum([
        C[:, k].sum() *
        np.sum([C[g, f] for f in range(N) for g in range(N) if f != k])
        for k in range(N)
    ])
    cov_ypyp = np.sum([
        C[k, :].sum() *
        np.sum([C[f, g] for f in range(N) for g in range(N) if f != k])
        for k in range(N)
    ])
    mcc_jurman = cov_ytyp / np.sqrt(cov_ytyt * cov_ypyp)
    mcc_ours = matthews_corrcoef(y_true, y_pred, sample_weight)

    assert_almost_equal(mcc_ours, mcc_jurman, 10)


def test_matthews_corrcoef():
    rng = np.random.RandomState(0)
    y_true = ["a" if i == 0 else "b" for i in rng.randint(0, 2, size=20)]

    # corrcoef of same vectors must be 1
    assert_almost_equal(matthews_corrcoef(y_true, y_true), 1.0)

    # corrcoef, when the two vectors are opposites of each other, should be -1
    y_true_inv = ["b" if i == "a" else "a" for i in y_true]
    assert_almost_equal(matthews_corrcoef(y_true, y_true_inv), -1)

    y_true_inv2 = label_binarize(y_true, ["a", "b"])
    y_true_inv2 = np.where(y_true_inv2, 'a', 'b')
    assert_almost_equal(matthews_corrcoef(y_true, y_true_inv2), -1)

    # For the zero vector case, the corrcoef cannot be calculated and should
    # result in a RuntimeWarning
    mcc = assert_warns_div0(matthews_corrcoef, [0, 0, 0, 0], [0, 0, 0, 0])

    # But will output 0
    assert_almost_equal(mcc, 0.)

    # And also for any other vector with 0 variance
    mcc = assert_warns_div0(matthews_corrcoef, y_true, ['a'] * len(y_true))

    # But will output 0
    assert_almost_equal(mcc, 0.)

    # These two vectors have 0 correlation and hence mcc should be 0
    y_1 = [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1]
    y_2 = [1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1]
    assert_almost_equal(matthews_corrcoef(y_1, y_2), 0.)

    # Check that sample weight is able to selectively exclude
    mask = [1] * 10 + [0] * 10
    # Now the first half of the vector elements are alone given a weight of 1
    # and hence the mcc will not be a perfect 0 as in the previous case
    assert_raises(AssertionError, assert_almost_equal,
                  matthews_corrcoef(y_1, y_2, sample_weight=mask), 0.)


def test_matthews_corrcoef_multiclass():
    rng = np.random.RandomState(0)
    ord_a = ord('a')
    n_classes = 4
    y_true = [chr(ord_a + i) for i in rng.randint(0, n_classes, size=20)]

    # corrcoef of same vectors must be 1
    assert_almost_equal(matthews_corrcoef(y_true, y_true), 1.0)

    # with multiclass > 2 it is not possible to achieve -1
    y_true = [0, 0, 1, 1, 2, 2]
    y_pred_bad = [2, 2, 0, 0, 1, 1]
    assert_almost_equal(matthews_corrcoef(y_true, y_pred_bad), -.5)

    # Maximizing false positives and negatives minimizes the MCC
    # The minimum will be different for depending on the input
    y_true = [0, 0, 1, 1, 2, 2]
    y_pred_min = [1, 1, 0, 0, 0, 0]
    assert_almost_equal(matthews_corrcoef(y_true, y_pred_min),
                        -12 / np.sqrt(24 * 16))

    # Zero variance will result in an mcc of zero and a Runtime Warning
    y_true = [0, 1, 2]
    y_pred = [3, 3, 3]
    mcc = assert_warns_message(RuntimeWarning, 'invalid value encountered',
                               matthews_corrcoef, y_true, y_pred)
    assert_almost_equal(mcc, 0.0)

    # These two vectors have 0 correlation and hence mcc should be 0
    y_1 = [0, 1, 2, 0, 1, 2, 0, 1, 2]
    y_2 = [1, 1, 1, 2, 2, 2, 0, 0, 0]
    assert_almost_equal(matthews_corrcoef(y_1, y_2), 0.)

    # We can test that binary assumptions hold using the multiclass computation
    # by masking the weight of samples not in the first two classes

    # Masking the last label should let us get an MCC of -1
    y_true = [0, 0, 1, 1, 2]
    y_pred = [1, 1, 0, 0, 2]
    sample_weight = [1, 1, 1, 1, 0]
    assert_almost_equal(matthews_corrcoef(y_true, y_pred, sample_weight), -1)

    # For the zero vector case, the corrcoef cannot be calculated and should
    # result in a RuntimeWarning
    y_true = [0, 0, 1, 2]
    y_pred = [0, 0, 1, 2]
    sample_weight = [1, 1, 0, 0]
    mcc = assert_warns_message(RuntimeWarning, 'invalid value encountered',
                               matthews_corrcoef, y_true, y_pred,
                               sample_weight)

    # But will output 0
    assert_almost_equal(mcc, 0.)


@pytest.mark.parametrize('n_points', [100, 10000, 1000000])
def test_matthews_corrcoef_overflow(n_points):
    # https://github.com/scikit-learn/scikit-learn/issues/9622
    rng = np.random.RandomState(20170906)

    def mcc_safe(y_true, y_pred):
        conf_matrix = confusion_matrix(y_true, y_pred)
        true_pos = conf_matrix[1, 1]
        false_pos = conf_matrix[1, 0]
        false_neg = conf_matrix[0, 1]
        n_points = len(y_true)
        pos_rate = (true_pos + false_neg) / n_points
        activity = (true_pos + false_pos) / n_points
        mcc_numerator = true_pos / n_points - pos_rate * activity
        mcc_denominator = activity * pos_rate * (1 - activity) * (1 - pos_rate)
        return mcc_numerator / np.sqrt(mcc_denominator)

    def random_ys(n_points):    # binary
        x_true = rng.random_sample(n_points)
        x_pred = x_true + 0.2 * (rng.random_sample(n_points) - 0.5)
        y_true = (x_true > 0.5)
        y_pred = (x_pred > 0.5)
        return y_true, y_pred

    arr = np.repeat([0., 1.], n_points)  # binary
    assert_almost_equal(matthews_corrcoef(arr, arr), 1.0)
    arr = np.repeat([0., 1., 2.], n_points)  # multiclass
    assert_almost_equal(matthews_corrcoef(arr, arr), 1.0)

    y_true, y_pred = random_ys(n_points)
    assert_almost_equal(matthews_corrcoef(y_true, y_true), 1.0)
    assert_almost_equal(matthews_corrcoef(y_true, y_pred),
                        mcc_safe(y_true, y_pred))


def test_precision_recall_f1_score_multiclass():
    # Test Precision Recall and F1 Score for multiclass classification task
    y_true, y_pred, _ = make_prediction(binary=False)

    # compute scores with default labels introspection
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred, average=None)
    assert_array_almost_equal(p, [0.83, 0.33, 0.42], 2)
    assert_array_almost_equal(r, [0.79, 0.09, 0.90], 2)
    assert_array_almost_equal(f, [0.81, 0.15, 0.57], 2)
    assert_array_equal(s, [24, 31, 20])

    # averaging tests
    ps = precision_score(y_true, y_pred, pos_label=1, average='micro')
    assert_array_almost_equal(ps, 0.53, 2)

    rs = recall_score(y_true, y_pred, average='micro')
    assert_array_almost_equal(rs, 0.53, 2)

    fs = f1_score(y_true, y_pred, average='micro')
    assert_array_almost_equal(fs, 0.53, 2)

    ps = precision_score(y_true, y_pred, average='macro')
    assert_array_almost_equal(ps, 0.53, 2)

    rs = recall_score(y_true, y_pred, average='macro')
    assert_array_almost_equal(rs, 0.60, 2)

    fs = f1_score(y_true, y_pred, average='macro')
    assert_array_almost_equal(fs, 0.51, 2)

    ps = precision_score(y_true, y_pred, average='weighted')
    assert_array_almost_equal(ps, 0.51, 2)

    rs = recall_score(y_true, y_pred, average='weighted')
    assert_array_almost_equal(rs, 0.53, 2)

    fs = f1_score(y_true, y_pred, average='weighted')
    assert_array_almost_equal(fs, 0.47, 2)

    assert_raises(ValueError, precision_score, y_true, y_pred,
                  average="samples")
    assert_raises(ValueError, recall_score, y_true, y_pred, average="samples")
    assert_raises(ValueError, f1_score, y_true, y_pred, average="samples")
    assert_raises(ValueError, fbeta_score, y_true, y_pred, average="samples",
                  beta=0.5)

    # same prediction but with and explicit label ordering
    p, r, f, s = precision_recall_fscore_support(
        y_true, y_pred, labels=[0, 2, 1], average=None)
    assert_array_almost_equal(p, [0.83, 0.41, 0.33], 2)
    assert_array_almost_equal(r, [0.79, 0.90, 0.10], 2)
    assert_array_almost_equal(f, [0.81, 0.57, 0.15], 2)
    assert_array_equal(s, [24, 20, 31])


@pytest.mark.parametrize('average',
                         ['samples', 'micro', 'macro', 'weighted', None])
def test_precision_refcall_f1_score_multilabel_unordered_labels(average):
    # test that labels need not be sorted in the multilabel case
    y_true = np.array([[1, 1, 0, 0]])
    y_pred = np.array([[0, 0, 1, 1]])
    p, r, f, s = precision_recall_fscore_support(
        y_true, y_pred, labels=[3, 0, 1, 2], warn_for=[], average=average)
    assert_array_equal(p, 0)
    assert_array_equal(r, 0)
    assert_array_equal(f, 0)
    if average is None:
        assert_array_equal(s, [0, 1, 1, 0])


def test_precision_recall_f1_score_binary_averaged():
    y_true = np.array([0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1])
    y_pred = np.array([1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1])

    # compute scores with default labels introspection
    ps, rs, fs, _ = precision_recall_fscore_support(y_true, y_pred,
                                                    average=None)
    p, r, f, _ = precision_recall_fscore_support(y_true, y_pred,
                                                 average='macro')
    assert_equal(p, np.mean(ps))
    assert_equal(r, np.mean(rs))
    assert_equal(f, np.mean(fs))
    p, r, f, _ = precision_recall_fscore_support(y_true, y_pred,
                                                 average='weighted')
    support = np.bincount(y_true)
    assert_equal(p, np.average(ps, weights=support))
    assert_equal(r, np.average(rs, weights=support))
    assert_equal(f, np.average(fs, weights=support))


def test_zero_precision_recall():
    # Check that pathological cases do not bring NaNs

    old_error_settings = np.seterr(all='raise')

    try:
        y_true = np.array([0, 1, 2, 0, 1, 2])
        y_pred = np.array([2, 0, 1, 1, 2, 0])

        assert_almost_equal(precision_score(y_true, y_pred,
                                            average='macro'), 0.0, 2)
        assert_almost_equal(recall_score(y_true, y_pred, average='macro'),
                            0.0, 2)
        assert_almost_equal(f1_score(y_true, y_pred, average='macro'),
                            0.0, 2)

    finally:
        np.seterr(**old_error_settings)


def test_confusion_matrix_multiclass_subset_labels():
    # Test confusion matrix - multi-class case with subset of labels
    y_true, y_pred, _ = make_prediction(binary=False)

    # compute confusion matrix with only first two labels considered
    cm = confusion_matrix(y_true, y_pred, labels=[0, 1])
    assert_array_equal(cm, [[19, 4],
                            [4, 3]])

    # compute confusion matrix with explicit label ordering for only subset
    # of labels
    cm = confusion_matrix(y_true, y_pred, labels=[2, 1])
    assert_array_equal(cm, [[18, 2],
                            [24, 3]])

    # a label not in y_true should result in zeros for that row/column
    extra_label = np.max(y_true) + 1
    cm = confusion_matrix(y_true, y_pred, labels=[2, extra_label])
    assert_array_equal(cm, [[18, 0],
                            [0, 0]])

    # check for exception when none of the specified labels are in y_true
    assert_raises(ValueError, confusion_matrix, y_true, y_pred,
                  labels=[extra_label, extra_label + 1])


def test_confusion_matrix_dtype():
    y = [0, 1, 1]
    weight = np.ones(len(y))
    # confusion_matrix returns int64 by default
    cm = confusion_matrix(y, y)
    assert_equal(cm.dtype, np.int64)
    # The dtype of confusion_matrix is always 64 bit
    for dtype in [np.bool_, np.int32, np.uint64]:
        cm = confusion_matrix(y, y,
                              sample_weight=weight.astype(dtype, copy=False))
        assert_equal(cm.dtype, np.int64)
    for dtype in [np.float32, np.float64, None, object]:
        cm = confusion_matrix(y, y,
                              sample_weight=weight.astype(dtype, copy=False))
        assert_equal(cm.dtype, np.float64)

    # np.iinfo(np.uint32).max should be accumulated correctly
    weight = np.full(len(y), 4294967295, dtype=np.uint32)
    cm = confusion_matrix(y, y, sample_weight=weight)
    assert_equal(cm[0, 0], 4294967295)
    assert_equal(cm[1, 1], 8589934590)

    # np.iinfo(np.int64).max should cause an overflow
    weight = np.full(len(y), 9223372036854775807, dtype=np.int64)
    cm = confusion_matrix(y, y, sample_weight=weight)
    assert_equal(cm[0, 0], 9223372036854775807)
    assert_equal(cm[1, 1], -2)


def test_classification_report_multiclass():
    # Test performance report
    iris = datasets.load_iris()
    y_true, y_pred, _ = make_prediction(dataset=iris, binary=False)

    # print classification report with class names
    expected_report = """\
              precision    recall  f1-score   support

      setosa       0.83      0.79      0.81        24
  versicolor       0.33      0.10      0.15        31
   virginica       0.42      0.90      0.57        20

    accuracy                           0.53        75
   macro avg       0.53      0.60      0.51        75
weighted avg       0.51      0.53      0.47        75
"""
    report = classification_report(
        y_true, y_pred, labels=np.arange(len(iris.target_names)),
        target_names=iris.target_names)
    assert_equal(report, expected_report)


def test_classification_report_multiclass_balanced():
    y_true, y_pred = [0, 0, 0, 1, 1, 1, 2, 2, 2], [0, 1, 2, 0, 1, 2, 0, 1, 2]

    expected_report = """\
              precision    recall  f1-score   support

           0       0.33      0.33      0.33         3
           1       0.33      0.33      0.33         3
           2       0.33      0.33      0.33         3

    accuracy                           0.33         9
   macro avg       0.33      0.33      0.33         9
weighted avg       0.33      0.33      0.33         9
"""
    report = classification_report(y_true, y_pred)
    assert_equal(report, expected_report)


def test_classification_report_multiclass_with_label_detection():
    iris = datasets.load_iris()
    y_true, y_pred, _ = make_prediction(dataset=iris, binary=False)

    # print classification report with label detection
    expected_report = """\
              precision    recall  f1-score   support

           0       0.83      0.79      0.81        24
           1       0.33      0.10      0.15        31
           2       0.42      0.90      0.57        20

    accuracy                           0.53        75
   macro avg       0.53      0.60      0.51        75
weighted avg       0.51      0.53      0.47        75
"""
    report = classification_report(y_true, y_pred)
    assert_equal(report, expected_report)


def test_classification_report_multiclass_with_digits():
    # Test performance report with added digits in floating point values
    iris = datasets.load_iris()
    y_true, y_pred, _ = make_prediction(dataset=iris, binary=False)

    # print classification report with class names
    expected_report = """\
              precision    recall  f1-score   support

      setosa    0.82609   0.79167   0.80851        24
  versicolor    0.33333   0.09677   0.15000        31
   virginica    0.41860   0.90000   0.57143        20

    accuracy                        0.53333        75
   macro avg    0.52601   0.59615   0.50998        75
weighted avg    0.51375   0.53333   0.47310        75
"""
    report = classification_report(
        y_true, y_pred, labels=np.arange(len(iris.target_names)),
        target_names=iris.target_names, digits=5)
    assert_equal(report, expected_report)


def test_classification_report_multiclass_with_string_label():
    y_true, y_pred, _ = make_prediction(binary=False)

    y_true = np.array(["blue", "green", "red"])[y_true]
    y_pred = np.array(["blue", "green", "red"])[y_pred]

    expected_report = """\
              precision    recall  f1-score   support

        blue       0.83      0.79      0.81        24
       green       0.33      0.10      0.15        31
         red       0.42      0.90      0.57        20

    accuracy                           0.53        75
   macro avg       0.53      0.60      0.51        75
weighted avg       0.51      0.53      0.47        75
"""
    report = classification_report(y_true, y_pred)
    assert_equal(report, expected_report)

    expected_report = """\
              precision    recall  f1-score   support

           a       0.83      0.79      0.81        24
           b       0.33      0.10      0.15        31
           c       0.42      0.90      0.57        20

    accuracy                           0.53        75
   macro avg       0.53      0.60      0.51        75
weighted avg       0.51      0.53      0.47        75
"""
    report = classification_report(y_true, y_pred,
                                   target_names=["a", "b", "c"])
    assert_equal(report, expected_report)


def test_classification_report_multiclass_with_unicode_label():
    y_true, y_pred, _ = make_prediction(binary=False)

    labels = np.array(["blue\xa2", "green\xa2", "red\xa2"])
    y_true = labels[y_true]
    y_pred = labels[y_pred]

    expected_report = """\
              precision    recall  f1-score   support

       blue\xa2       0.83      0.79      0.81        24
      green\xa2       0.33      0.10      0.15        31
        red\xa2       0.42      0.90      0.57        20

    accuracy                           0.53        75
   macro avg       0.53      0.60      0.51        75
weighted avg       0.51      0.53      0.47        75
"""
    report = classification_report(y_true, y_pred)
    assert_equal(report, expected_report)


def test_classification_report_multiclass_with_long_string_label():
    y_true, y_pred, _ = make_prediction(binary=False)

    labels = np.array(["blue", "green" * 5, "red"])
    y_true = labels[y_true]
    y_pred = labels[y_pred]

    expected_report = """\
                           precision    recall  f1-score   support

                     blue       0.83      0.79      0.81        24
greengreengreengreengreen       0.33      0.10      0.15        31
                      red       0.42      0.90      0.57        20

                 accuracy                           0.53        75
                macro avg       0.53      0.60      0.51        75
             weighted avg       0.51      0.53      0.47        75
"""

    report = classification_report(y_true, y_pred)
    assert_equal(report, expected_report)


def test_classification_report_labels_target_names_unequal_length():
    y_true = [0, 0, 2, 0, 0]
    y_pred = [0, 2, 2, 0, 0]
    target_names = ['class 0', 'class 1', 'class 2']

    assert_warns_message(UserWarning,
                         "labels size, 2, does not "
                         "match size of target_names, 3",
                         classification_report,
                         y_true, y_pred, labels=[0, 2],
                         target_names=target_names)


def test_classification_report_no_labels_target_names_unequal_length():
    y_true = [0, 0, 2, 0, 0]
    y_pred = [0, 2, 2, 0, 0]
    target_names = ['class 0', 'class 1', 'class 2']

    assert_raise_message(ValueError,
                         "Number of classes, 2, does not "
                         "match size of target_names, 3. "
                         "Try specifying the labels parameter",
                         classification_report,
                         y_true, y_pred, target_names=target_names)


@ignore_warnings
def test_multilabel_classification_report():
    n_classes = 4
    n_samples = 50

    _, y_true = make_multilabel_classification(n_features=1,
                                               n_samples=n_samples,
                                               n_classes=n_classes,
                                               random_state=0)

    _, y_pred = make_multilabel_classification(n_features=1,
                                               n_samples=n_samples,
                                               n_classes=n_classes,
                                               random_state=1)

    expected_report = """\
              precision    recall  f1-score   support

           0       0.50      0.67      0.57        24
           1       0.51      0.74      0.61        27
           2       0.29      0.08      0.12        26
           3       0.52      0.56      0.54        27

   micro avg       0.50      0.51      0.50       104
   macro avg       0.45      0.51      0.46       104
weighted avg       0.45      0.51      0.46       104
 samples avg       0.46      0.42      0.40       104
"""

    report = classification_report(y_true, y_pred)
    assert_equal(report, expected_report)


def test_multilabel_zero_one_loss_subset():
    # Dense label indicator matrix format
    y1 = np.array([[0, 1, 1], [1, 0, 1]])
    y2 = np.array([[0, 0, 1], [1, 0, 1]])

    assert_equal(zero_one_loss(y1, y2), 0.5)
    assert_equal(zero_one_loss(y1, y1), 0)
    assert_equal(zero_one_loss(y2, y2), 0)
    assert_equal(zero_one_loss(y2, np.logical_not(y2)), 1)
    assert_equal(zero_one_loss(y1, np.logical_not(y1)), 1)
    assert_equal(zero_one_loss(y1, np.zeros(y1.shape)), 1)
    assert_equal(zero_one_loss(y2, np.zeros(y1.shape)), 1)


def test_multilabel_hamming_loss():
    # Dense label indicator matrix format
    y1 = np.array([[0, 1, 1], [1, 0, 1]])
    y2 = np.array([[0, 0, 1], [1, 0, 1]])
    w = np.array([1, 3])

    assert_equal(hamming_loss(y1, y2), 1 / 6)
    assert_equal(hamming_loss(y1, y1), 0)
    assert_equal(hamming_loss(y2, y2), 0)
    assert_equal(hamming_loss(y2, 1 - y2), 1)
    assert_equal(hamming_loss(y1, 1 - y1), 1)
    assert_equal(hamming_loss(y1, np.zeros(y1.shape)), 4 / 6)
    assert_equal(hamming_loss(y2, np.zeros(y1.shape)), 0.5)
    assert_equal(hamming_loss(y1, y2, sample_weight=w), 1. / 12)
    assert_equal(hamming_loss(y1, 1-y2, sample_weight=w), 11. / 12)
    assert_equal(hamming_loss(y1, np.zeros_like(y1), sample_weight=w), 2. / 3)
    # sp_hamming only works with 1-D arrays
    assert_equal(hamming_loss(y1[0], y2[0]), sp_hamming(y1[0], y2[0]))
    assert_warns_message(DeprecationWarning,
                         "The labels parameter is unused. It was"
                         " deprecated in version 0.21 and"
                         " will be removed in version 0.23",
                         hamming_loss, y1, y2, labels=[0, 1])


def test_jaccard_score_validation():
    y_true = np.array([0, 1, 0, 1, 1])
    y_pred = np.array([0, 1, 0, 1, 1])
    assert_raise_message(ValueError, "pos_label=2 is not a valid label: "
                         "array([0, 1])", jaccard_score, y_true,
                         y_pred, average='binary', pos_label=2)

    y_true = np.array([[0, 1, 1], [1, 0, 0]])
    y_pred = np.array([[1, 1, 1], [1, 0, 1]])
    msg1 = ("Target is multilabel-indicator but average='binary'. "
            "Please choose another average setting, one of [None, "
            "'micro', 'macro', 'weighted', 'samples'].")
    assert_raise_message(ValueError, msg1, jaccard_score, y_true,
                         y_pred, average='binary', pos_label=-1)

    y_true = np.array([0, 1, 1, 0, 2])
    y_pred = np.array([1, 1, 1, 1, 0])
    msg2 = ("Target is multiclass but average='binary'. Please choose "
            "another average setting, one of [None, 'micro', 'macro', "
            "'weighted'].")
    assert_raise_message(ValueError, msg2, jaccard_score, y_true,
                         y_pred, average='binary')
    msg3 = ("Samplewise metrics are not available outside of multilabel "
            "classification.")
    assert_raise_message(ValueError, msg3, jaccard_score, y_true,
                         y_pred, average='samples')

    assert_warns_message(UserWarning,
                         "Note that pos_label (set to 3) is ignored when "
                         "average != 'binary' (got 'micro'). You may use "
                         "labels=[pos_label] to specify a single positive "
                         "class.", jaccard_score, y_true, y_pred,
                         average='micro', pos_label=3)


def test_multilabel_jaccard_score(recwarn):
    # Dense label indicator matrix format
    y1 = np.array([[0, 1, 1], [1, 0, 1]])
    y2 = np.array([[0, 0, 1], [1, 0, 1]])

    # size(y1 \inter y2) = [1, 2]
    # size(y1 \union y2) = [2, 2]

    assert jaccard_score(y1, y2, average='samples') == 0.75
    assert jaccard_score(y1, y1, average='samples') == 1
    assert jaccard_score(y2, y2, average='samples') == 1
    assert jaccard_score(y2, np.logical_not(y2), average='samples') == 0
    assert jaccard_score(y1, np.logical_not(y1), average='samples') == 0
    assert jaccard_score(y1, np.zeros(y1.shape), average='samples') == 0
    assert jaccard_score(y2, np.zeros(y1.shape), average='samples') == 0

    y_true = np.array([[0, 1, 1], [1, 0, 0]])
    y_pred = np.array([[1, 1, 1], [1, 0, 1]])
    # average='macro'
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='macro'), 2. / 3)
    # average='micro'
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='micro'), 3. / 5)
    # average='samples'
    assert_almost_equal(jaccard_score(y_true, y_pred, average='samples'),
                        7. / 12)
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='samples',
                                      labels=[0, 2]), 1. / 2)
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='samples',
                                      labels=[1, 2]), 1. / 2)
    # average=None
    assert_array_equal(jaccard_score(y_true, y_pred, average=None),
                       np.array([1. / 2, 1., 1. / 2]))

    y_true = np.array([[0, 1, 1], [1, 0, 1]])
    y_pred = np.array([[1, 1, 1], [1, 0, 1]])
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='macro'), 5. / 6)
    # average='weighted'
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='weighted'), 7. / 8)

    msg2 = 'Got 4 > 2'
    assert_raise_message(ValueError, msg2, jaccard_score, y_true,
                         y_pred, labels=[4], average='macro')
    msg3 = 'Got -1 < 0'
    assert_raise_message(ValueError, msg3, jaccard_score, y_true,
                         y_pred, labels=[-1], average='macro')

    msg = ('Jaccard is ill-defined and being set to 0.0 in labels '
           'with no true or predicted samples.')
    assert assert_warns_message(UndefinedMetricWarning, msg,
                                jaccard_score,
                                np.array([[0, 1]]),
                                np.array([[0, 1]]),
                                average='macro') == 0.5

    msg = ('Jaccard is ill-defined and being set to 0.0 in samples '
           'with no true or predicted labels.')
    assert assert_warns_message(UndefinedMetricWarning, msg,
                                jaccard_score,
                                np.array([[0, 0], [1, 1]]),
                                np.array([[0, 0], [1, 1]]),
                                average='samples') == 0.5

    assert not list(recwarn)


def test_multiclass_jaccard_score(recwarn):
    y_true = ['ant', 'ant', 'cat', 'cat', 'ant', 'cat', 'bird', 'bird']
    y_pred = ['cat', 'ant', 'cat', 'cat', 'ant', 'bird', 'bird', 'cat']
    labels = ['ant', 'bird', 'cat']
    lb = LabelBinarizer()
    lb.fit(labels)
    y_true_bin = lb.transform(y_true)
    y_pred_bin = lb.transform(y_pred)
    multi_jaccard_score = partial(jaccard_score, y_true,
                                  y_pred)
    bin_jaccard_score = partial(jaccard_score,
                                y_true_bin, y_pred_bin)
    multi_labels_list = [['ant', 'bird'], ['ant', 'cat'], ['cat', 'bird'],
                         ['ant'], ['bird'], ['cat'], None]
    bin_labels_list = [[0, 1], [0, 2], [2, 1], [0], [1], [2], None]

    # other than average='samples'/'none-samples', test everything else here
    for average in ('macro', 'weighted', 'micro', None):
        for m_label, b_label in zip(multi_labels_list, bin_labels_list):
            assert_almost_equal(multi_jaccard_score(average=average,
                                                    labels=m_label),
                                bin_jaccard_score(average=average,
                                                  labels=b_label))

    y_true = np.array([[0, 0], [0, 0], [0, 0]])
    y_pred = np.array([[0, 0], [0, 0], [0, 0]])
    with ignore_warnings():
        assert (jaccard_score(y_true, y_pred, average='weighted')
                == 0)

    assert not list(recwarn)


def test_average_binary_jaccard_score(recwarn):
    # tp=0, fp=0, fn=1, tn=0
    assert jaccard_score([1], [0], average='binary') == 0.
    # tp=0, fp=0, fn=0, tn=1
    msg = ('Jaccard is ill-defined and being set to 0.0 due to '
           'no true or predicted samples')
    assert assert_warns_message(UndefinedMetricWarning,
                                msg,
                                jaccard_score,
                                [0, 0], [0, 0],
                                average='binary') == 0.
    # tp=1, fp=0, fn=0, tn=0 (pos_label=0)
    assert jaccard_score([0], [0], pos_label=0,
                         average='binary') == 1.
    y_true = np.array([1, 0, 1, 1, 0])
    y_pred = np.array([1, 0, 1, 1, 1])
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='binary'), 3. / 4)
    assert_almost_equal(jaccard_score(y_true, y_pred,
                                      average='binary',
                                      pos_label=0), 1. / 2)

    assert not list(recwarn)


@ignore_warnings
def test_precision_recall_f1_score_multilabel_1():
    # Test precision_recall_f1_score on a crafted multilabel example
    # First crafted example

    y_true = np.array([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 1]])
    y_pred = np.array([[0, 1, 0, 0], [0, 1, 0, 0], [1, 0, 1, 0]])

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred, average=None)

    # tp = [0, 1, 1, 0]
    # fn = [1, 0, 0, 1]
    # fp = [1, 1, 0, 0]
    # Check per class

    assert_array_almost_equal(p, [0.0, 0.5, 1.0, 0.0], 2)
    assert_array_almost_equal(r, [0.0, 1.0, 1.0, 0.0], 2)
    assert_array_almost_equal(f, [0.0, 1 / 1.5, 1, 0.0], 2)
    assert_array_almost_equal(s, [1, 1, 1, 1], 2)

    f2 = fbeta_score(y_true, y_pred, beta=2, average=None)
    support = s
    assert_array_almost_equal(f2, [0, 0.83, 1, 0], 2)

    # Check macro
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="macro")
    assert_almost_equal(p, 1.5 / 4)
    assert_almost_equal(r, 0.5)
    assert_almost_equal(f, 2.5 / 1.5 * 0.25)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2, average="macro"),
                        np.mean(f2))

    # Check micro
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="micro")
    assert_almost_equal(p, 0.5)
    assert_almost_equal(r, 0.5)
    assert_almost_equal(f, 0.5)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="micro"),
                        (1 + 4) * p * r / (4 * p + r))

    # Check weighted
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="weighted")
    assert_almost_equal(p, 1.5 / 4)
    assert_almost_equal(r, 0.5)
    assert_almost_equal(f, 2.5 / 1.5 * 0.25)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="weighted"),
                        np.average(f2, weights=support))
    # Check samples
    # |h(x_i) inter y_i | = [0, 1, 1]
    # |y_i| = [1, 1, 2]
    # |h(x_i)| = [1, 1, 2]
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="samples")
    assert_almost_equal(p, 0.5)
    assert_almost_equal(r, 0.5)
    assert_almost_equal(f, 0.5)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2, average="samples"),
                        0.5)


@ignore_warnings
def test_precision_recall_f1_score_multilabel_2():
    # Test precision_recall_f1_score on a crafted multilabel example 2
    # Second crafted example
    y_true = np.array([[1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 1, 0]])
    y_pred = np.array([[0, 0, 0, 1], [0, 0, 0, 1], [1, 1, 0, 0]])

    # tp = [ 0.  1.  0.  0.]
    # fp = [ 1.  0.  0.  2.]
    # fn = [ 1.  1.  1.  0.]

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average=None)
    assert_array_almost_equal(p, [0.0, 1.0, 0.0, 0.0], 2)
    assert_array_almost_equal(r, [0.0, 0.5, 0.0, 0.0], 2)
    assert_array_almost_equal(f, [0.0, 0.66, 0.0, 0.0], 2)
    assert_array_almost_equal(s, [1, 2, 1, 0], 2)

    f2 = fbeta_score(y_true, y_pred, beta=2, average=None)
    support = s
    assert_array_almost_equal(f2, [0, 0.55, 0, 0], 2)

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="micro")
    assert_almost_equal(p, 0.25)
    assert_almost_equal(r, 0.25)
    assert_almost_equal(f, 2 * 0.25 * 0.25 / 0.5)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="micro"),
                        (1 + 4) * p * r / (4 * p + r))

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="macro")
    assert_almost_equal(p, 0.25)
    assert_almost_equal(r, 0.125)
    assert_almost_equal(f, 2 / 12)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="macro"),
                        np.mean(f2))

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="weighted")
    assert_almost_equal(p, 2 / 4)
    assert_almost_equal(r, 1 / 4)
    assert_almost_equal(f, 2 / 3 * 2 / 4)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="weighted"),
                        np.average(f2, weights=support))

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="samples")
    # Check samples
    # |h(x_i) inter y_i | = [0, 0, 1]
    # |y_i| = [1, 1, 2]
    # |h(x_i)| = [1, 1, 2]

    assert_almost_equal(p, 1 / 6)
    assert_almost_equal(r, 1 / 6)
    assert_almost_equal(f, 2 / 4 * 1 / 3)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="samples"),
                        0.1666, 2)


@ignore_warnings
def test_precision_recall_f1_score_with_an_empty_prediction():
    y_true = np.array([[0, 1, 0, 0], [1, 0, 0, 0], [0, 1, 1, 0]])
    y_pred = np.array([[0, 0, 0, 0], [0, 0, 0, 1], [0, 1, 1, 0]])

    # true_pos = [ 0.  1.  1.  0.]
    # false_pos = [ 0.  0.  0.  1.]
    # false_neg = [ 1.  1.  0.  0.]
    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average=None)
    assert_array_almost_equal(p, [0.0, 1.0, 1.0, 0.0], 2)
    assert_array_almost_equal(r, [0.0, 0.5, 1.0, 0.0], 2)
    assert_array_almost_equal(f, [0.0, 1 / 1.5, 1, 0.0], 2)
    assert_array_almost_equal(s, [1, 2, 1, 0], 2)

    f2 = fbeta_score(y_true, y_pred, beta=2, average=None)
    support = s
    assert_array_almost_equal(f2, [0, 0.55, 1, 0], 2)

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="macro")
    assert_almost_equal(p, 0.5)
    assert_almost_equal(r, 1.5 / 4)
    assert_almost_equal(f, 2.5 / (4 * 1.5))
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="macro"),
                        np.mean(f2))

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="micro")
    assert_almost_equal(p, 2 / 3)
    assert_almost_equal(r, 0.5)
    assert_almost_equal(f, 2 / 3 / (2 / 3 + 0.5))
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="micro"),
                        (1 + 4) * p * r / (4 * p + r))

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="weighted")
    assert_almost_equal(p, 3 / 4)
    assert_almost_equal(r, 0.5)
    assert_almost_equal(f, (2 / 1.5 + 1) / 4)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="weighted"),
                        np.average(f2, weights=support))

    p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
                                                 average="samples")
    # |h(x_i) inter y_i | = [0, 0, 2]
    # |y_i| = [1, 1, 2]
    # |h(x_i)| = [0, 1, 2]
    assert_almost_equal(p, 1 / 3)
    assert_almost_equal(r, 1 / 3)
    assert_almost_equal(f, 1 / 3)
    assert_equal(s, None)
    assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
                                    average="samples"),
                        0.333, 2)


@pytest.mark.parametrize('beta', [1])
@pytest.mark.parametrize('average', ["macro", "micro", "weighted", "samples"])
def test_precision_recall_f1_no_labels(beta, average):
    y_true = np.zeros((20, 3))
    y_pred = np.zeros_like(y_true)

    p, r, f, s = assert_warns(UndefinedMetricWarning,
                              precision_recall_fscore_support,
                              y_true, y_pred, average=average,
                              beta=beta)
    assert_almost_equal(p, 0)
    assert_almost_equal(r, 0)
    assert_almost_equal(f, 0)
    assert_equal(s, None)

    fbeta = assert_warns(UndefinedMetricWarning, fbeta_score,
                         y_true, y_pred,
                         beta=beta, average=average)
    assert_almost_equal(fbeta, 0)


def test_precision_recall_f1_no_labels_average_none():
    y_true = np.zeros((20, 3))
    y_pred = np.zeros_like(y_true)

    beta = 1

    # tp = [0, 0, 0]
    # fn = [0, 0, 0]
    # fp = [0, 0, 0]
    # support = [0, 0, 0]
    # |y_hat_i inter y_i | = [0, 0, 0]
    # |y_i| = [0, 0, 0]
    # |y_hat_i| = [0, 0, 0]

    p, r, f, s = assert_warns(UndefinedMetricWarning,
                              precision_recall_fscore_support,
                              y_true, y_pred, average=None, beta=beta)
    assert_array_almost_equal(p, [0, 0, 0], 2)
    assert_array_almost_equal(r, [0, 0, 0], 2)
    assert_array_almost_equal(f, [0, 0, 0], 2)
    assert_array_almost_equal(s, [0, 0, 0], 2)

    fbeta = assert_warns(UndefinedMetricWarning, fbeta_score,
                         y_true, y_pred, beta=beta, average=None)
    assert_array_almost_equal(fbeta, [0, 0, 0], 2)


def test_prf_warnings():
    # average of per-label scores
    f, w = precision_recall_fscore_support, UndefinedMetricWarning
    my_assert = assert_warns_message
    for average in [None, 'weighted', 'macro']:
        msg = ('Precision and F-score are ill-defined and '
               'being set to 0.0 in labels with no predicted samples.')
        my_assert(w, msg, f, [0, 1, 2], [1, 1, 2], average=average)

        msg = ('Recall and F-score are ill-defined and '
               'being set to 0.0 in labels with no true samples.')
        my_assert(w, msg, f, [1, 1, 2], [0, 1, 2], average=average)

    # average of per-sample scores
    msg = ('Precision and F-score are ill-defined and '
           'being set to 0.0 in samples with no predicted labels.')
    my_assert(w, msg, f, np.array([[1, 0], [1, 0]]),
              np.array([[1, 0], [0, 0]]), average='samples')

    msg = ('Recall and F-score are ill-defined and '
           'being set to 0.0 in samples with no true labels.')
    my_assert(w, msg, f, np.array([[1, 0], [0, 0]]),
              np.array([[1, 0], [1, 0]]),
              average='samples')

    # single score: micro-average
    msg = ('Precision and F-score are ill-defined and '
           'being set to 0.0 due to no predicted samples.')
    my_assert(w, msg, f, np.array([[1, 1], [1, 1]]),
              np.array([[0, 0], [0, 0]]), average='micro')

    msg = ('Recall and F-score are ill-defined and '
           'being set to 0.0 due to no true samples.')
    my_assert(w, msg, f, np.array([[0, 0], [0, 0]]),
              np.array([[1, 1], [1, 1]]), average='micro')

    # single positive label
    msg = ('Precision and F-score are ill-defined and '
           'being set to 0.0 due to no predicted samples.')
    my_assert(w, msg, f, [1, 1], [-1, -1], average='binary')

    msg = ('Recall and F-score are ill-defined and '
           'being set to 0.0 due to no true samples.')
    my_assert(w, msg, f, [-1, -1], [1, 1], average='binary')

    clean_warning_registry()
    with warnings.catch_warnings(record=True) as record:
        warnings.simplefilter('always')
        precision_recall_fscore_support([0, 0], [0, 0], average="binary")
        msg = ('Recall and F-score are ill-defined and '
               'being set to 0.0 due to no true samples.')
        assert_equal(str(record.pop().message), msg)
        msg = ('Precision and F-score are ill-defined and '
               'being set to 0.0 due to no predicted samples.')
        assert_equal(str(record.pop().message), msg)


def test_recall_warnings():
    assert_no_warnings(recall_score,
                       np.array([[1, 1], [1, 1]]),
                       np.array([[0, 0], [0, 0]]),
                       average='micro')
    clean_warning_registry()
    with warnings.catch_warnings(record=True) as record:
        warnings.simplefilter('always')
        recall_score(np.array([[0, 0], [0, 0]]),
                     np.array([[1, 1], [1, 1]]),
                     average='micro')
        assert_equal(str(record.pop().message),
                     'Recall is ill-defined and '
                     'being set to 0.0 due to no true samples.')
        recall_score([0, 0], [0, 0])
        assert_equal(str(record.pop().message),
                     'Recall is ill-defined and '
                     'being set to 0.0 due to no true samples.')


def test_precision_warnings():
    clean_warning_registry()
    with warnings.catch_warnings(record=True) as record:
        warnings.simplefilter('always')
        precision_score(np.array([[1, 1], [1, 1]]),
                        np.array([[0, 0], [0, 0]]),
                        average='micro')
        assert_equal(str(record.pop().message),
                     'Precision is ill-defined and '
                     'being set to 0.0 due to no predicted samples.')
        precision_score([0, 0], [0, 0])
        assert_equal(str(record.pop().message),
                     'Precision is ill-defined and '
                     'being set to 0.0 due to no predicted samples.')

    assert_no_warnings(precision_score,
                       np.array([[0, 0], [0, 0]]),
                       np.array([[1, 1], [1, 1]]),
                       average='micro')


def test_fscore_warnings():
    clean_warning_registry()
    with warnings.catch_warnings(record=True) as record:
        warnings.simplefilter('always')

        for score in [f1_score, partial(fbeta_score, beta=2)]:
            score(np.array([[1, 1], [1, 1]]),
                  np.array([[0, 0], [0, 0]]),
                  average='micro')
            assert_equal(str(record.pop().message),
                         'F-score is ill-defined and '
                         'being set to 0.0 due to no predicted samples.')
            score(np.array([[0, 0], [0, 0]]),
                  np.array([[1, 1], [1, 1]]),
                  average='micro')
            assert_equal(str(record.pop().message),
                         'F-score is ill-defined and '
                         'being set to 0.0 due to no true samples.')
            score([0, 0], [0, 0])
            assert_equal(str(record.pop().message),
                         'F-score is ill-defined and '
                         'being set to 0.0 due to no true samples.')
            assert_equal(str(record.pop().message),
                         'F-score is ill-defined and '
                         'being set to 0.0 due to no predicted samples.')


def test_prf_average_binary_data_non_binary():
    # Error if user does not explicitly set non-binary average mode
    y_true_mc = [1, 2, 3, 3]
    y_pred_mc = [1, 2, 3, 1]
    msg_mc = ("Target is multiclass but average='binary'. Please "
              "choose another average setting, one of ["
              "None, 'micro', 'macro', 'weighted'].")
    y_true_ind = np.array([[0, 1, 1], [1, 0, 0], [0, 0, 1]])
    y_pred_ind = np.array([[0, 1, 0], [1, 0, 0], [0, 0, 1]])
    msg_ind = ("Target is multilabel-indicator but average='binary'. Please "
               "choose another average setting, one of ["
               "None, 'micro', 'macro', 'weighted', 'samples'].")

    for y_true, y_pred, msg in [
        (y_true_mc, y_pred_mc, msg_mc),
        (y_true_ind, y_pred_ind, msg_ind),
    ]:
        for metric in [precision_score, recall_score, f1_score,
                       partial(fbeta_score, beta=2)]:
            assert_raise_message(ValueError, msg,
                                 metric, y_true, y_pred)


def test__check_targets():
    # Check that _check_targets correctly merges target types, squeezes
    # output and fails if input lengths differ.
    IND = 'multilabel-indicator'
    MC = 'multiclass'
    BIN = 'binary'
    CNT = 'continuous'
    MMC = 'multiclass-multioutput'
    MCN = 'continuous-multioutput'
    # all of length 3
    EXAMPLES = [
        (IND, np.array([[0, 1, 1], [1, 0, 0], [0, 0, 1]])),
        # must not be considered binary
        (IND, np.array([[0, 1], [1, 0], [1, 1]])),
        (MC, [2, 3, 1]),
        (BIN, [0, 1, 1]),
        (CNT, [0., 1.5, 1.]),
        (MC, np.array([[2], [3], [1]])),
        (BIN, np.array([[0], [1], [1]])),
        (CNT, np.array([[0.], [1.5], [1.]])),
        (MMC, np.array([[0, 2], [1, 3], [2, 3]])),
        (MCN, np.array([[0.5, 2.], [1.1, 3.], [2., 3.]])),
    ]
    # expected type given input types, or None for error
    # (types will be tried in either order)
    EXPECTED = {
        (IND, IND): IND,
        (MC, MC): MC,
        (BIN, BIN): BIN,

        (MC, IND): None,
        (BIN, IND): None,
        (BIN, MC): MC,

        # Disallowed types
        (CNT, CNT): None,
        (MMC, MMC): None,
        (MCN, MCN): None,
        (IND, CNT): None,
        (MC, CNT): None,
        (BIN, CNT): None,
        (MMC, CNT): None,
        (MCN, CNT): None,
        (IND, MMC): None,
        (MC, MMC): None,
        (BIN, MMC): None,
        (MCN, MMC): None,
        (IND, MCN): None,
        (MC, MCN): None,
        (BIN, MCN): None,
    }

    for (type1, y1), (type2, y2) in product(EXAMPLES, repeat=2):
        try:
            expected = EXPECTED[type1, type2]
        except KeyError:
            expected = EXPECTED[type2, type1]
        if expected is None:
            assert_raises(ValueError, _check_targets, y1, y2)

            if type1 != type2:
                assert_raise_message(
                    ValueError,
                    "Classification metrics can't handle a mix of {0} and {1} "
                    "targets".format(type1, type2),
                    _check_targets, y1, y2)

            else:
                if type1 not in (BIN, MC, IND):
                    assert_raise_message(ValueError,
                                         "{0} is not supported".format(type1),
                                         _check_targets, y1, y2)

        else:
            merged_type, y1out, y2out = _check_targets(y1, y2)
            assert_equal(merged_type, expected)
            if merged_type.startswith('multilabel'):
                assert_equal(y1out.format, 'csr')
                assert_equal(y2out.format, 'csr')
            else:
                assert_array_equal(y1out, np.squeeze(y1))
                assert_array_equal(y2out, np.squeeze(y2))
            assert_raises(ValueError, _check_targets, y1[:-1], y2)

    # Make sure seq of seq is not supported
    y1 = [(1, 2,), (0, 2, 3)]
    y2 = [(2,), (0, 2,)]
    msg = ('You appear to be using a legacy multi-label data representation. '
           'Sequence of sequences are no longer supported; use a binary array'
           ' or sparse matrix instead - the MultiLabelBinarizer'
           ' transformer can convert to this format.')
    assert_raise_message(ValueError, msg, _check_targets, y1, y2)


def test__check_targets_multiclass_with_both_y_true_and_y_pred_binary():
    # https://github.com/scikit-learn/scikit-learn/issues/8098
    y_true = [0, 1]
    y_pred = [0, -1]
    assert_equal(_check_targets(y_true, y_pred)[0], 'multiclass')


def test_hinge_loss_binary():
    y_true = np.array([-1, 1, 1, -1])
    pred_decision = np.array([-8.5, 0.5, 1.5, -0.3])
    assert_equal(hinge_loss(y_true, pred_decision), 1.2 / 4)

    y_true = np.array([0, 2, 2, 0])
    pred_decision = np.array([-8.5, 0.5, 1.5, -0.3])
    assert_equal(hinge_loss(y_true, pred_decision), 1.2 / 4)


def test_hinge_loss_multiclass():
    pred_decision = np.array([
        [+0.36, -0.17, -0.58, -0.99],
        [-0.54, -0.37, -0.48, -0.58],
        [-1.45, -0.58, -0.38, -0.17],
        [-0.54, -0.38, -0.48, -0.58],
        [-2.36, -0.79, -0.27, +0.24],
        [-1.45, -0.58, -0.38, -0.17]
    ])
    y_true = np.array([0, 1, 2, 1, 3, 2])
    dummy_losses = np.array([
        1 - pred_decision[0][0] + pred_decision[0][1],
        1 - pred_decision[1][1] + pred_decision[1][2],
        1 - pred_decision[2][2] + pred_decision[2][3],
        1 - pred_decision[3][1] + pred_decision[3][2],
        1 - pred_decision[4][3] + pred_decision[4][2],
        1 - pred_decision[5][2] + pred_decision[5][3]
    ])
    np.clip(dummy_losses, 0, None, out=dummy_losses)
    dummy_hinge_loss = np.mean(dummy_losses)
    assert_equal(hinge_loss(y_true, pred_decision),
                 dummy_hinge_loss)


def test_hinge_loss_multiclass_missing_labels_with_labels_none():
    y_true = np.array([0, 1, 2, 2])
    pred_decision = np.array([
        [+1.27, 0.034, -0.68, -1.40],
        [-1.45, -0.58, -0.38, -0.17],
        [-2.36, -0.79, -0.27, +0.24],
        [-2.36, -0.79, -0.27, +0.24]
    ])
    error_message = ("Please include all labels in y_true "
                     "or pass labels as third argument")
    assert_raise_message(ValueError,
                         error_message,
                         hinge_loss, y_true, pred_decision)


def test_hinge_loss_multiclass_with_missing_labels():
    pred_decision = np.array([
        [+0.36, -0.17, -0.58, -0.99],
        [-0.55, -0.38, -0.48, -0.58],
        [-1.45, -0.58, -0.38, -0.17],
        [-0.55, -0.38, -0.48, -0.58],
        [-1.45, -0.58, -0.38, -0.17]
    ])
    y_true = np.array([0, 1, 2, 1, 2])
    labels = np.array([0, 1, 2, 3])
    dummy_losses = np.array([
        1 - pred_decision[0][0] + pred_decision[0][1],
        1 - pred_decision[1][1] + pred_decision[1][2],
        1 - pred_decision[2][2] + pred_decision[2][3],
        1 - pred_decision[3][1] + pred_decision[3][2],
        1 - pred_decision[4][2] + pred_decision[4][3]
    ])
    np.clip(dummy_losses, 0, None, out=dummy_losses)
    dummy_hinge_loss = np.mean(dummy_losses)
    assert_equal(hinge_loss(y_true, pred_decision, labels=labels),
                 dummy_hinge_loss)


def test_hinge_loss_multiclass_invariance_lists():
    # Currently, invariance of string and integer labels cannot be tested
    # in common invariance tests because invariance tests for multiclass
    # decision functions is not implemented yet.
    y_true = ['blue', 'green', 'red',
              'green', 'white', 'red']
    pred_decision = [
        [+0.36, -0.17, -0.58, -0.99],
        [-0.55, -0.38, -0.48, -0.58],
        [-1.45, -0.58, -0.38, -0.17],
        [-0.55, -0.38, -0.48, -0.58],
        [-2.36, -0.79, -0.27, +0.24],
        [-1.45, -0.58, -0.38, -0.17]]
    dummy_losses = np.array([
        1 - pred_decision[0][0] + pred_decision[0][1],
        1 - pred_decision[1][1] + pred_decision[1][2],
        1 - pred_decision[2][2] + pred_decision[2][3],
        1 - pred_decision[3][1] + pred_decision[3][2],
        1 - pred_decision[4][3] + pred_decision[4][2],
        1 - pred_decision[5][2] + pred_decision[5][3]
    ])
    np.clip(dummy_losses, 0, None, out=dummy_losses)
    dummy_hinge_loss = np.mean(dummy_losses)
    assert_equal(hinge_loss(y_true, pred_decision),
                 dummy_hinge_loss)


def test_log_loss():
    # binary case with symbolic labels ("no" < "yes")
    y_true = ["no", "no", "no", "yes", "yes", "yes"]
    y_pred = np.array([[0.5, 0.5], [0.1, 0.9], [0.01, 0.99],
                       [0.9, 0.1], [0.75, 0.25], [0.001, 0.999]])
    loss = log_loss(y_true, y_pred)
    assert_almost_equal(loss, 1.8817971)

    # multiclass case; adapted from http://bit.ly/RJJHWA
    y_true = [1, 0, 2]
    y_pred = [[0.2, 0.7, 0.1], [0.6, 0.2, 0.2], [0.6, 0.1, 0.3]]
    loss = log_loss(y_true, y_pred, normalize=True)
    assert_almost_equal(loss, 0.6904911)

    # check that we got all the shapes and axes right
    # by doubling the length of y_true and y_pred
    y_true *= 2
    y_pred *= 2
    loss = log_loss(y_true, y_pred, normalize=False)
    assert_almost_equal(loss, 0.6904911 * 6, decimal=6)

    # check eps and handling of absolute zero and one probabilities
    y_pred = np.asarray(y_pred) > .5
    loss = log_loss(y_true, y_pred, normalize=True, eps=.1)
    assert_almost_equal(loss, log_loss(y_true, np.clip(y_pred, .1, .9)))

    # raise error if number of classes are not equal.
    y_true = [1, 0, 2]
    y_pred = [[0.2, 0.7], [0.6, 0.5], [0.4, 0.1]]
    assert_raises(ValueError, log_loss, y_true, y_pred)

    # case when y_true is a string array object
    y_true = ["ham", "spam", "spam", "ham"]
    y_pred = [[0.2, 0.7], [0.6, 0.5], [0.4, 0.1], [0.7, 0.2]]
    loss = log_loss(y_true, y_pred)
    assert_almost_equal(loss, 1.0383217, decimal=6)

    # test labels option

    y_true = [2, 2]
    y_pred = [[0.2, 0.7], [0.6, 0.5]]
    y_score = np.array([[0.1, 0.9], [0.1, 0.9]])
    error_str = ('y_true contains only one label (2). Please provide '
                 'the true labels explicitly through the labels argument.')
    assert_raise_message(ValueError, error_str, log_loss, y_true, y_pred)

    y_pred = [[0.2, 0.7], [0.6, 0.5], [0.2, 0.3]]
    error_str = ('Found input variables with inconsistent numbers of samples: '
                 '[3, 2]')
    assert_raise_message(ValueError, error_str, log_loss, y_true, y_pred)

    # works when the labels argument is used

    true_log_loss = -np.mean(np.log(y_score[:, 1]))
    calculated_log_loss = log_loss(y_true, y_score, labels=[1, 2])
    assert_almost_equal(calculated_log_loss, true_log_loss)

    # ensure labels work when len(np.unique(y_true)) != y_pred.shape[1]
    y_true = [1, 2, 2]
    y_score2 = [[0.2, 0.7, 0.3], [0.6, 0.5, 0.3], [0.3, 0.9, 0.1]]
    loss = log_loss(y_true, y_score2, labels=[1, 2, 3])
    assert_almost_equal(loss, 1.0630345, decimal=6)


def test_log_loss_pandas_input():
    # case when input is a pandas series and dataframe gh-5715
    y_tr = np.array(["ham", "spam", "spam", "ham"])
    y_pr = np.array([[0.2, 0.7], [0.6, 0.5], [0.4, 0.1], [0.7, 0.2]])
    types = [(MockDataFrame, MockDataFrame)]
    try:
        from pandas import Series, DataFrame
        types.append((Series, DataFrame))
    except ImportError:
        pass
    for TrueInputType, PredInputType in types:
        # y_pred dataframe, y_true series
        y_true, y_pred = TrueInputType(y_tr), PredInputType(y_pr)
        loss = log_loss(y_true, y_pred)
        assert_almost_equal(loss, 1.0383217, decimal=6)


def test_brier_score_loss():
    # Check brier_score_loss function
    y_true = np.array([0, 1, 1, 0, 1, 1])
    y_pred = np.array([0.1, 0.8, 0.9, 0.3, 1., 0.95])
    true_score = linalg.norm(y_true - y_pred) ** 2 / len(y_true)

    assert_almost_equal(brier_score_loss(y_true, y_true), 0.0)
    assert_almost_equal(brier_score_loss(y_true, y_pred), true_score)
    assert_almost_equal(brier_score_loss(1. + y_true, y_pred),
                        true_score)
    assert_almost_equal(brier_score_loss(2 * y_true - 1, y_pred),
                        true_score)
    assert_raises(ValueError, brier_score_loss, y_true, y_pred[1:])
    assert_raises(ValueError, brier_score_loss, y_true, y_pred + 1.)
    assert_raises(ValueError, brier_score_loss, y_true, y_pred - 1.)
    # calculate even if only single class in y_true (#6980)
    assert_almost_equal(brier_score_loss([0], [0.5]), 0.25)
    assert_almost_equal(brier_score_loss([1], [0.5]), 0.25)


def test_balanced_accuracy_score_unseen():
    assert_warns_message(UserWarning, 'y_pred contains classes not in y_true',
                         balanced_accuracy_score, [0, 0, 0], [0, 0, 1])


@pytest.mark.parametrize('y_true,y_pred',
                         [
                             (['a', 'b', 'a', 'b'], ['a', 'a', 'a', 'b']),
                             (['a', 'b', 'c', 'b'], ['a', 'a', 'a', 'b']),
                             (['a', 'a', 'a', 'b'], ['a', 'b', 'c', 'b']),
                         ])
def test_balanced_accuracy_score(y_true, y_pred):
    macro_recall = recall_score(y_true, y_pred, average='macro',
                                labels=np.unique(y_true))
    with ignore_warnings():
        # Warnings are tested in test_balanced_accuracy_score_unseen
        balanced = balanced_accuracy_score(y_true, y_pred)
    assert balanced == pytest.approx(macro_recall)
    adjusted = balanced_accuracy_score(y_true, y_pred, adjusted=True)
    chance = balanced_accuracy_score(y_true, np.full_like(y_true, y_true[0]))
    assert adjusted == (balanced - chance) / (1 - chance)


def test_multilabel_jaccard_similarity_score_deprecation():
    # Dense label indicator matrix format
    y1 = np.array([[0, 1, 1], [1, 0, 1]])
    y2 = np.array([[0, 0, 1], [1, 0, 1]])

    # size(y1 \inter y2) = [1, 2]
    # size(y1 \union y2) = [2, 2]

    jss = partial(assert_warns, DeprecationWarning, jaccard_similarity_score)
    assert_equal(jss(y1, y2), 0.75)
    assert_equal(jss(y1, y1), 1)
    assert_equal(jss(y2, y2), 1)
    assert_equal(jss(y2, np.logical_not(y2)), 0)
    assert_equal(jss(y1, np.logical_not(y1)), 0)
    assert_equal(jss(y1, np.zeros(y1.shape)), 0)
    assert_equal(jss(y2, np.zeros(y1.shape)), 0)
