"""Sanity tests for the Phase 2 domain modules.

These don't try to match the JS implementation byte-for-byte because we
deliberately swapped some approximations for scipy's exact versions
(Jarque-Bera p-value, KS test, chi-squared p-value, etc.). Instead they check
mathematical properties (monotonicity, symmetry, ranges) and a few golden
hand-calculated values.
"""

from __future__ import annotations

import json
from pathlib import Path

import numpy as np
import pytest

from app.domain.multi_expert import (
    JUDGMENT_PRESETS,
    Expert,
    fuse_dempster_shafer,
    fuse_weighted_arithmetic_mean,
    fuse_weighted_geometric_mean,
    kendall_w,
)
from app.domain.multi_param import (
    Parameter,
    batch_compute,
    compare_scenarios,
    correlation_matrix,
    js_divergence,
    kl_divergence,
    pearson_correlation,
    spearman_correlation,
    wasserstein_distance,
)
from app.domain.preprocessing import (
    boxcox_transform,
    detect_outliers_iqr,
    detect_outliers_zscore,
    jarque_bera,
    ks_normal,
    log_transform,
    optimal_bin_count,
    shapiro_wilk,
    winsorize,
)

SAMPLES_DIR = Path(__file__).resolve().parents[1] / "app" / "data_sources" / "samples"


def _gdp():
    return json.loads((SAMPLES_DIR / "sample-gdp.json").read_text())["values"]


# --------------------------------------------------------------------------- #
# Multi-expert
# --------------------------------------------------------------------------- #


def test_expert_validates_judgments():
    with pytest.raises(ValueError):
        Expert("A", judgments=[0, 1, 2, 3])  # only 4
    with pytest.raises(ValueError):
        Expert("B", judgments=[0, 1, 2, 3, 5])  # 5 out of range


def test_geometric_fusion_equals_single_expert():
    """With one expert, geometric mean == that expert's likelihood."""
    e = Expert("solo", weight=2.0, judgments=[0, 1, 2, 3, 4])
    fused = fuse_weighted_geometric_mean([e], R=10)
    expected = [10 ** k for k in (-2, -1, 0, 1, 2)]
    for a, b in zip(fused, expected, strict=True):
        assert a == pytest.approx(b, rel=1e-9)


def test_geometric_vs_arithmetic_two_experts_uniform_weights():
    """For identical experts, both fusion methods agree."""
    e1 = Expert("A", judgments=[0, 1, 2, 3, 4])
    e2 = Expert("B", judgments=[0, 1, 2, 3, 4])
    g = fuse_weighted_geometric_mean([e1, e2], R=10)
    a = fuse_weighted_arithmetic_mean([e1, e2], R=10)
    for gi, ai in zip(g, a, strict=True):
        assert gi == pytest.approx(ai, rel=1e-9)


def test_dempster_shafer_asymmetric_conflict():
    """Two non-symmetric experts: the one with extreme certainty should pull
    the combined distribution toward its peak."""
    e1 = Expert("A", judgments=[0, 1, 4, 4, 4])  # strong "high" + "very high"
    e2 = Expert("B", judgments=[0, 1, 2, 3, 4])  # gradual increase
    fused = fuse_dempster_shafer([e1, e2], R=5)
    assert sum(fused) == pytest.approx(1.0, abs=1e-9)
    # Combined mass should peak at "very high" (index 4)
    assert fused.index(max(fused)) == 4


def test_dempster_shafer_symmetric_opposite_yields_uniform():
    """Mathematically correct: symmetric opposing likelihoods give uniform DS."""
    e1 = Expert("A", judgments=[4, 3, 2, 1, 0])
    e2 = Expert("B", judgments=[0, 1, 2, 3, 4])
    fused = fuse_dempster_shafer([e1, e2], R=5)
    assert sum(fused) == pytest.approx(1.0, abs=1e-9)
    for w in fused:
        assert w == pytest.approx(0.2, abs=1e-6)


def test_kendall_w_perfect_agreement():
    e1 = Expert("A", judgments=[0, 1, 2, 3, 4])
    e2 = Expert("B", judgments=[0, 1, 2, 3, 4])
    e3 = Expert("C", judgments=[0, 1, 2, 3, 4])
    r = kendall_w([e1, e2, e3])
    assert r.W == pytest.approx(1.0, abs=1e-9)
    assert r.p_value < 0.05


def test_kendall_w_perfect_disagreement():
    # Three experts that disagree pairwise as much as possible
    e1 = Expert("A", judgments=[0, 1, 2, 3, 4])
    e2 = Expert("B", judgments=[4, 3, 2, 1, 0])
    e3 = Expert("C", judgments=[2, 0, 4, 1, 3])
    r = kendall_w([e1, e2, e3])
    assert 0.0 <= r.W <= 1.0
    # Likely no significant agreement
    assert r.p_value > 0.05 or r.W < 0.5


def test_presets_well_formed():
    for _k, p in JUDGMENT_PRESETS.items():
        assert isinstance(p["label"], str)
        assert len(p["judgments"]) == 5


# --------------------------------------------------------------------------- #
# Multi-parameter
# --------------------------------------------------------------------------- #


def test_pearson_perfect_positive():
    x = list(range(10))
    y = [2 * v + 1 for v in x]
    assert pearson_correlation(x, y) == pytest.approx(1.0, abs=1e-9)


def test_pearson_perfect_negative():
    x = list(range(10))
    y = [-3 * v for v in x]
    assert pearson_correlation(x, y) == pytest.approx(-1.0, abs=1e-9)


def test_spearman_monotonic_nonlinear():
    x = list(range(1, 11))
    y = [v**2 for v in x]
    assert spearman_correlation(x, y) == pytest.approx(1.0, abs=1e-9)


def test_correlation_matrix_symmetry():
    p1 = Parameter("a", data=list(range(10)))
    p2 = Parameter("b", data=[v * 0.5 for v in range(10)])
    p3 = Parameter("c", data=[10 - v for v in range(10)])
    m = correlation_matrix([p1, p2, p3])
    for i in range(3):
        assert m[i][i] == pytest.approx(1.0)
        for j in range(3):
            assert m[i][j] == pytest.approx(m[j][i])


def test_batch_compute_runs():
    gdp = _gdp()
    p = Parameter("gdp", data=gdp, judgments=[0, 1, 2, 3, 4], R=10)
    out = batch_compute([p])
    assert out[0].result is not None
    assert sum(out[0].result.posterior.weights) == pytest.approx(1.0, abs=1e-12)


def test_kl_zero_for_identical_distributions():
    p = [0.1, 0.2, 0.4, 0.2, 0.1]
    assert kl_divergence(p, p) == pytest.approx(0.0, abs=1e-9)


def test_js_symmetric():
    a = [0.1, 0.2, 0.4, 0.2, 0.1]
    b = [0.4, 0.3, 0.15, 0.1, 0.05]
    assert js_divergence(a, b) == pytest.approx(js_divergence(b, a), abs=1e-12)


def test_wasserstein_known_value():
    """Two delta distributions one unit apart -> W1 = 1."""
    values = [0.0, 1.0]
    p = [1.0, 0.0]
    q = [0.0, 1.0]
    assert wasserstein_distance(p, q, values) == pytest.approx(1.0, abs=1e-9)


def test_compare_scenarios_runs():
    from app.domain.bayesian import compute

    gdp = _gdp()
    r1 = compute(gdp, [0, 1, 2, 3, 4], 10.0)
    r2 = compute(gdp, [4, 3, 2, 1, 0], 10.0)
    d = compare_scenarios(r1, r2)
    assert d.delta_mean < 0  # r2 (negative trend) should be lower
    assert d.kl > 0
    assert d.js > 0


# --------------------------------------------------------------------------- #
# Preprocessing
# --------------------------------------------------------------------------- #


def test_outliers_iqr_picks_extremes():
    data = [0.0] * 100 + [100.0, -100.0]
    r = detect_outliers_iqr(data)
    assert 100.0 in r.values
    assert -100.0 in r.values
    assert r.count == 2


def test_outliers_zscore_picks_extremes():
    np.random.seed(0)
    data = [*np.random.normal(0, 1, 1000).tolist(), 50.0, -50.0]
    r = detect_outliers_zscore(data, threshold=3.0)
    assert 50.0 in r.values
    assert -50.0 in r.values


def test_winsorize_clips_extremes():
    data = list(range(100))
    out = winsorize(data, 0.05, 0.95)
    assert min(out) >= 4
    assert max(out) <= 95


def test_jarque_bera_detects_normal():
    np.random.seed(0)
    data = np.random.normal(0, 1, 2000)
    r = jarque_bera(data)
    assert r.is_normal


def test_jarque_bera_detects_skewed():
    np.random.seed(0)
    data = np.random.exponential(1.0, 2000)
    r = jarque_bera(data)
    assert not r.is_normal


def test_shapiro_wilk_basic():
    np.random.seed(0)
    r = shapiro_wilk(np.random.normal(0, 1, 200))
    assert r.is_normal


def test_ks_normal_basic():
    np.random.seed(0)
    r = ks_normal(np.random.normal(0, 1, 500))
    assert r.is_normal


def test_log_transform_handles_non_positive():
    data = [-2.0, -1.0, 0.0, 1.0, 2.0]
    r = log_transform(data)
    assert r.shifted_by == pytest.approx(3.0)
    assert len(r.values) == 5
    assert all(v == v for v in r.values)  # no NaN


def test_boxcox_transform_falls_back_for_non_positive():
    data = [-1.0, 0.0, 1.0, 2.0, 3.0]
    r = boxcox_transform(data)
    assert r.transform == "yeo-johnson"


def test_optimal_bin_count():
    np.random.seed(0)
    data = np.random.normal(0, 1, 500).tolist()
    bins_fd = optimal_bin_count(data, "fd")
    bins_sturges = optimal_bin_count(data, "sturges")
    bins_scott = optimal_bin_count(data, "scott")
    for b in (bins_fd, bins_sturges, bins_scott):
        assert 1 <= b <= 200