from __future__ import division, print_function

import numpy as np
from itertools import product

from sklearn.utils.testing import assert_raises, assert_raises_regex
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.metrics import explained_variance_score
from sklearn.metrics import mean_absolute_error
from sklearn.metrics import mean_squared_error
from sklearn.metrics import mean_squared_log_error
from sklearn.metrics import median_absolute_error
from sklearn.metrics import r2_score

from sklearn.metrics.regression import _check_reg_targets


def test_regression_metrics(n_samples=50):
    y_true = np.arange(n_samples)
    y_pred = y_true + 1

    assert_almost_equal(mean_squared_error(y_true, y_pred), 1.)
    assert_almost_equal(mean_squared_log_error(y_true, y_pred),
                        mean_squared_error(np.log(1 + y_true),
                                           np.log(1 + y_pred)))
    assert_almost_equal(mean_absolute_error(y_true, y_pred), 1.)
    assert_almost_equal(median_absolute_error(y_true, y_pred), 1.)
    assert_almost_equal(r2_score(y_true, y_pred),  0.995, 2)
    assert_almost_equal(explained_variance_score(y_true, y_pred), 1.)


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

    error = mean_squared_error(y_true, y_pred)
    assert_almost_equal(error, (1. / 3 + 2. / 3 + 2. / 3) / 4.)

    error = mean_squared_log_error(y_true, y_pred)
    assert_almost_equal(error, 0.200, decimal=2)

    # mean_absolute_error and mean_squared_error are equal because
    # it is a binary problem.
    error = mean_absolute_error(y_true, y_pred)
    assert_almost_equal(error, (1. / 3 + 2. / 3 + 2. / 3) / 4.)

    error = r2_score(y_true, y_pred, multioutput='variance_weighted')
    assert_almost_equal(error, 1. - 5. / 2)
    error = r2_score(y_true, y_pred, multioutput='uniform_average')
    assert_almost_equal(error, -.875)


def test_regression_metrics_at_limits():
    assert_almost_equal(mean_squared_error([0.], [0.]), 0.00, 2)
    assert_almost_equal(mean_squared_log_error([0.], [0.]), 0.00, 2)
    assert_almost_equal(mean_absolute_error([0.], [0.]), 0.00, 2)
    assert_almost_equal(median_absolute_error([0.], [0.]), 0.00, 2)
    assert_almost_equal(explained_variance_score([0.], [0.]), 1.00, 2)
    assert_almost_equal(r2_score([0., 1], [0., 1]), 1.00, 2)
    assert_raises_regex(ValueError, "Mean Squared Logarithmic Error cannot be "
                        "used when targets contain negative values.",
                        mean_squared_log_error, [-1.], [-1.])
    assert_raises_regex(ValueError, "Mean Squared Logarithmic Error cannot be "
                        "used when targets contain negative values.",
                        mean_squared_log_error, [1., 2., 3.], [1., -2., 3.])
    assert_raises_regex(ValueError, "Mean Squared Logarithmic Error cannot be "
                        "used when targets contain negative values.",
                        mean_squared_log_error, [1., -2., 3.], [1., 2., 3.])



def test__check_reg_targets():
    # All of length 3
    EXAMPLES = [
        ("continuous", [1, 2, 3], 1),
        ("continuous", [[1], [2], [3]], 1),
        ("continuous-multioutput", [[1, 1], [2, 2], [3, 1]], 2),
        ("continuous-multioutput", [[5, 1], [4, 2], [3, 1]], 2),
        ("continuous-multioutput", [[1, 3, 4], [2, 2, 2], [3, 1, 1]], 3),
    ]

    for (type1, y1, n_out1), (type2, y2, n_out2) in product(EXAMPLES,
                                                            repeat=2):

        if type1 == type2 and n_out1 == n_out2:
            y_type, y_check1, y_check2, multioutput = _check_reg_targets(
                y1, y2, None)
            assert_equal(type1, y_type)
            if type1 == 'continuous':
                assert_array_equal(y_check1, np.reshape(y1, (-1, 1)))
                assert_array_equal(y_check2, np.reshape(y2, (-1, 1)))
            else:
                assert_array_equal(y_check1, y1)
                assert_array_equal(y_check2, y2)
        else:
            assert_raises(ValueError, _check_reg_targets, y1, y2, None)


def test__check_reg_targets_exception():
    invalid_multioutput = 'this_value_is_not_valid'
    expected_message = ("Allowed 'multioutput' string values are.+"
                        "You provided multioutput={!r}".format(
                            invalid_multioutput))
    assert_raises_regex(ValueError, expected_message,
                        _check_reg_targets,
                        [1, 2, 3],
                        [[1], [2], [3]],
                        invalid_multioutput)


def test_regression_multioutput_array():
    y_true = [[1, 2], [2.5, -1], [4.5, 3], [5, 7]]
    y_pred = [[1, 1], [2, -1], [5, 4], [5, 6.5]]

    mse = mean_squared_error(y_true, y_pred, multioutput='raw_values')
    mae = mean_absolute_error(y_true, y_pred, multioutput='raw_values')
    r = r2_score(y_true, y_pred, multioutput='raw_values')
    evs = explained_variance_score(y_true, y_pred, multioutput='raw_values')

    assert_array_almost_equal(mse, [0.125, 0.5625], decimal=2)
    assert_array_almost_equal(mae, [0.25, 0.625], decimal=2)
    assert_array_almost_equal(r, [0.95, 0.93], decimal=2)
    assert_array_almost_equal(evs, [0.95, 0.93], decimal=2)

    # mean_absolute_error and mean_squared_error are equal because
    # it is a binary problem.
    y_true = [[0, 0]]*4
    y_pred = [[1, 1]]*4
    mse = mean_squared_error(y_true, y_pred, multioutput='raw_values')
    mae = mean_absolute_error(y_true, y_pred, multioutput='raw_values')
    r = r2_score(y_true, y_pred, multioutput='raw_values')
    assert_array_almost_equal(mse, [1., 1.], decimal=2)
    assert_array_almost_equal(mae, [1., 1.], decimal=2)
    assert_array_almost_equal(r, [0., 0.], decimal=2)

    r = r2_score([[0, -1], [0, 1]], [[2, 2], [1, 1]], multioutput='raw_values')
    assert_array_almost_equal(r, [0, -3.5], decimal=2)
    assert_equal(np.mean(r), r2_score([[0, -1], [0, 1]], [[2, 2], [1, 1]],
                 multioutput='uniform_average'))
    evs = explained_variance_score([[0, -1], [0, 1]], [[2, 2], [1, 1]],
                                   multioutput='raw_values')
    assert_array_almost_equal(evs, [0, -1.25], decimal=2)

    # Checking for the condition in which both numerator and denominator is
    # zero.
    y_true = [[1, 3], [-1, 2]]
    y_pred = [[1, 4], [-1, 1]]
    r2 = r2_score(y_true, y_pred, multioutput='raw_values')
    assert_array_almost_equal(r2, [1., -3.], decimal=2)
    assert_equal(np.mean(r2), r2_score(y_true, y_pred,
                 multioutput='uniform_average'))
    evs = explained_variance_score(y_true, y_pred, multioutput='raw_values')
    assert_array_almost_equal(evs, [1., -3.], decimal=2)
    assert_equal(np.mean(evs), explained_variance_score(y_true, y_pred))

    # Handling msle separately as it does not accept negative inputs.
    y_true = np.array([[0.5, 1], [1, 2], [7, 6]])
    y_pred = np.array([[0.5, 2], [1, 2.5], [8, 8]])
    msle = mean_squared_log_error(y_true, y_pred, multioutput='raw_values')
    msle2 = mean_squared_error(np.log(1 + y_true), np.log(1 + y_pred),
                               multioutput='raw_values')
    assert_array_almost_equal(msle, msle2, decimal=2)


def test_regression_custom_weights():
    y_true = [[1, 2], [2.5, -1], [4.5, 3], [5, 7]]
    y_pred = [[1, 1], [2, -1], [5, 4], [5, 6.5]]

    msew = mean_squared_error(y_true, y_pred, multioutput=[0.4, 0.6])
    maew = mean_absolute_error(y_true, y_pred, multioutput=[0.4, 0.6])
    rw = r2_score(y_true, y_pred, multioutput=[0.4, 0.6])
    evsw = explained_variance_score(y_true, y_pred, multioutput=[0.4, 0.6])

    assert_almost_equal(msew, 0.39, decimal=2)
    assert_almost_equal(maew, 0.475, decimal=3)
    assert_almost_equal(rw, 0.94, decimal=2)
    assert_almost_equal(evsw, 0.94, decimal=2)

    # Handling msle separately as it does not accept negative inputs.
    y_true = np.array([[0.5, 1], [1, 2], [7, 6]])
    y_pred = np.array([[0.5, 2], [1, 2.5], [8, 8]])
    msle = mean_squared_log_error(y_true, y_pred, multioutput=[0.3, 0.7])
    msle2 = mean_squared_error(np.log(1 + y_true), np.log(1 + y_pred),
                               multioutput=[0.3, 0.7])
    assert_almost_equal(msle, msle2, decimal=2)
