import numpy as np
from scipy import sparse as sp
from scipy import stats

import pytest

from sklearn.svm._bounds import l1_min_c
from sklearn.svm import LinearSVC
from sklearn.linear_model import LogisticRegression
from sklearn.svm._newrand import set_seed_wrap, bounded_rand_int_wrap

from sklearn.utils._testing import assert_raise_message


dense_X = [[-1, 0], [0, 1], [1, 1], [1, 1]]
sparse_X = sp.csr_matrix(dense_X)

Y1 = [0, 1, 1, 1]
Y2 = [2, 1, 0, 0]


@pytest.mark.parametrize('loss', ['squared_hinge', 'log'])
@pytest.mark.parametrize('X_label', ['sparse', 'dense'])
@pytest.mark.parametrize('Y_label', ['two-classes', 'multi-class'])
@pytest.mark.parametrize('intercept_label', ['no-intercept', 'fit-intercept'])
def test_l1_min_c(loss, X_label, Y_label, intercept_label):
    Xs = {'sparse': sparse_X, 'dense': dense_X}
    Ys = {'two-classes': Y1, 'multi-class': Y2}
    intercepts = {'no-intercept': {'fit_intercept': False},
                  'fit-intercept': {'fit_intercept': True,
                                    'intercept_scaling': 10}}

    X = Xs[X_label]
    Y = Ys[Y_label]
    intercept_params = intercepts[intercept_label]
    check_l1_min_c(X, Y, loss, **intercept_params)


def test_l1_min_c_l2_loss():
    # loss='l2' should raise ValueError
    assert_raise_message(ValueError, "loss type not in",
                         l1_min_c, dense_X, Y1, loss="l2")


def check_l1_min_c(X, y, loss, fit_intercept=True, intercept_scaling=None):
    min_c = l1_min_c(X, y, loss=loss, fit_intercept=fit_intercept,
                     intercept_scaling=intercept_scaling)

    clf = {
        'log': LogisticRegression(penalty='l1', solver='liblinear'),
        'squared_hinge': LinearSVC(loss='squared_hinge',
                                   penalty='l1', dual=False),
    }[loss]

    clf.fit_intercept = fit_intercept
    clf.intercept_scaling = intercept_scaling

    clf.C = min_c
    clf.fit(X, y)
    assert (np.asarray(clf.coef_) == 0).all()
    assert (np.asarray(clf.intercept_) == 0).all()

    clf.C = min_c * 1.01
    clf.fit(X, y)
    assert ((np.asarray(clf.coef_) != 0).any() or
            (np.asarray(clf.intercept_) != 0).any())


def test_ill_posed_min_c():
    X = [[0, 0], [0, 0]]
    y = [0, 1]
    with pytest.raises(ValueError):
        l1_min_c(X, y)


def test_unsupported_loss():
    with pytest.raises(ValueError):
        l1_min_c(dense_X, Y1, loss='l1')


_MAX_UNSIGNED_INT = 4294967295


@pytest.mark.parametrize('seed, val',
                         [(None, 81),
                          (0, 54),
                          (_MAX_UNSIGNED_INT, 9)])
def test_newrand_set_seed(seed, val):
    """Test that `set_seed` produces deterministic results"""
    if seed is not None:
        set_seed_wrap(seed)
    x = bounded_rand_int_wrap(100)
    assert x == val, f'Expected {val} but got {x} instead'


@pytest.mark.parametrize('seed',
                         [-1, _MAX_UNSIGNED_INT + 1])
def test_newrand_set_seed_overflow(seed):
    """Test that `set_seed_wrap` is defined for unsigned 32bits ints"""
    with pytest.raises(OverflowError):
        set_seed_wrap(seed)


@pytest.mark.parametrize('range_, n_pts',
                         [(_MAX_UNSIGNED_INT, 10000), (100, 25)])
def test_newrand_bounded_rand_int(range_, n_pts):
    """Test that `bounded_rand_int` follows a uniform distribution"""
    n_iter = 100
    ks_pvals = []
    uniform_dist = stats.uniform(loc=0, scale=range_)
    # perform multiple samplings to make chance of outlier sampling negligible
    for _ in range(n_iter):
        # Deterministic random sampling
        sample = [bounded_rand_int_wrap(range_) for _ in range(n_pts)]
        res = stats.kstest(sample, uniform_dist.cdf)
        ks_pvals.append(res.pvalue)
    # Null hypothesis = samples come from an uniform distribution.
    # Under the null hypothesis, p-values should be uniformly distributed
    # and not concentrated on low values
    # (this may seem counter-intuitive but is backed by multiple refs)
    # So we can do two checks:

    # (1) check uniformity of p-values
    uniform_p_vals_dist = stats.uniform(loc=0, scale=1)
    res_pvals = stats.kstest(ks_pvals, uniform_p_vals_dist.cdf)
    assert res_pvals.pvalue > 0.05, (
        "Null hypothesis rejected: generated random numbers are not uniform."
        " Details: the (meta) p-value of the test of uniform distribution"
        f" of p-values is {res_pvals.pvalue} which is not > 0.05")

    # (2) (safety belt) check that 90% of p-values are above 0.05
    min_10pct_pval = np.percentile(ks_pvals, q=10)
    # lower 10th quantile pvalue <= 0.05 means that the test rejects the
    # null hypothesis that the sample came from the uniform distribution
    assert min_10pct_pval > 0.05, (
        "Null hypothesis rejected: generated random numbers are not uniform. "
        f"Details: lower 10th quantile p-value of {min_10pct_pval} not > 0.05."
        )


@pytest.mark.parametrize('range_',
                         [-1, _MAX_UNSIGNED_INT + 1])
def test_newrand_bounded_rand_int_limits(range_):
    """Test that `bounded_rand_int_wrap` is defined for unsigned 32bits ints"""
    with pytest.raises(OverflowError):
        bounded_rand_int_wrap(range_)