"""A-priori, label-free probe-stability predictors evaluated by ProbeShift (G2).

Every predictor maps IID training activations (+ labels, + optional augmentation
activations) to a scalar where **higher = predicted more OOD-stable**, so all can be
correlated against (negated) OOD drop under one convention. All are computed WITHOUT any
OOD data and WITHOUT new annotation, except `whitened_cosine_upper` which is flagged as an
OOD-using upper-bound reference (Truthfulness-Spectrum style).

Implemented (each a verified competitor — see PRIOR_ART.md §四):
  sip_eigengap            SIP (2511.16288)        — LDA eigengap / Fisher error
  raptor_stability        RAPTOR (2602.00158)     — bootstrap direction mean|cos|  (= dispersion)
  fragility               Fragility (2606.11375)  — critical isotropic-noise collapse sigma
  augmentation_robustness Probing-the-Probes      — direction consistency under augmentation
  xie_feature_dispersion  Xie 2023 (2303.15488)   — inter-class feature dispersion
  pac                     ours (G3)               — composite of dispersion + augmentation
  whitened_cosine_upper   Truth-Spectrum style    — ID/OOD-whitened cosine (upper-bound ref)
"""
from __future__ import annotations

import numpy as np
from scipy import linalg

from config import STABILITY
from probes import make_probe
from metrics import accuracy
from stability_score import dispersion, augmentation_consistency, combine


# --------------------------------------------------------------------------------------
# SIP — spectral identifiability (eigengap of the task-relevant LDA subspace)
# --------------------------------------------------------------------------------------
def sip_eigengap(X: np.ndarray, y: np.ndarray, num_labels: int, ridge: float = 1e-3, **_):
    X = np.asarray(X, dtype=np.float64)
    classes = np.unique(y)
    mu = X.mean(0)
    Sb = np.zeros((X.shape[1], X.shape[1]))
    Sw = np.zeros_like(Sb)
    for c in classes:
        Xc = X[y == c]
        d = (Xc.mean(0) - mu)[:, None]
        Sb += len(Xc) * (d @ d.T)
        Sw += np.cov(Xc, rowvar=False) * (len(Xc) - 1)
    Sw += ridge * np.eye(X.shape[1])
    # generalised eigenvalues of (Sb, Sw); top (num_labels-1) span the relevant subspace
    eig = np.sort(linalg.eigvalsh(Sb, Sw))[::-1]
    k = max(1, num_labels - 1)
    if len(eig) <= k:
        return float("nan")
    gap = eig[k - 1] - eig[k]                      # gap after the relevant subspace
    fisher_err = np.sqrt(X.shape[1] / len(X))      # ~ estimation error scale
    return float(gap / (eig[0] + 1e-12) / (fisher_err + 1e-12))


# --------------------------------------------------------------------------------------
# RAPTOR-style directional stability == 1 - dispersion
# --------------------------------------------------------------------------------------
def raptor_stability(X, y, num_labels, probe_kind="logreg", seed=0, **kw):
    disp = dispersion(np.asarray(X, np.float32), np.asarray(y), num_labels,
                      probe_kind=probe_kind, k=STABILITY.k_bootstrap, seed=seed, **kw)
    return float(1.0 - disp)


# --------------------------------------------------------------------------------------
# Fragility — critical isotropic-noise collapse level
# --------------------------------------------------------------------------------------
def fragility(X, y, num_labels, probe_kind="logreg", seed=0,
              sigmas=(0.0, 0.25, 0.5, 1.0, 1.5, 2.0, 3.0), **kw):
    X = np.asarray(X, dtype=np.float32)
    rng = np.random.default_rng(seed)
    p = make_probe(probe_kind, num_labels=num_labels, seed=seed, **kw).fit(X, y)
    iid_acc = accuracy(y, p.predict(X))
    chance = 1.0 / num_labels
    thresh = chance + 0.5 * (iid_acc - chance)     # halfway from chance to IID
    scale = X.std()
    critical = sigmas[-1]
    for s in sigmas:
        Xn = X + s * scale * rng.standard_normal(X.shape).astype(np.float32)
        if accuracy(y, p.predict(Xn)) < thresh:
            critical = s
            break
    return float(critical)                          # higher = more robust = more stable


# --------------------------------------------------------------------------------------
# augmentation-robustness == augmentation_consistency component
# --------------------------------------------------------------------------------------
def augmentation_robustness(X, y, aug_X_list, num_labels, probe_kind="logreg", seed=0, **kw):
    return float(augmentation_consistency(
        np.asarray(X, np.float32), np.asarray(y), [np.asarray(a, np.float32) for a in aug_X_list],
        num_labels, probe_kind=probe_kind, seed=seed, **kw))


# --------------------------------------------------------------------------------------
# Xie 2023 — inter-class feature dispersion (predicts overall acc, mechanism contrast)
# --------------------------------------------------------------------------------------
def xie_feature_dispersion(X, y, num_labels, **_):
    X = np.asarray(X, dtype=np.float64)
    classes = np.unique(y)
    mus = np.stack([X[y == c].mean(0) for c in classes])         # [C,H]
    inter = np.mean([np.linalg.norm(mus[i] - mus[j])
                     for i in range(len(mus)) for j in range(i + 1, len(mus))])
    return float(inter / (X.std() + 1e-12))


# --------------------------------------------------------------------------------------
# PAC (ours, G3) — composite of dispersion + augmentation-consistency (IID-only)
# --------------------------------------------------------------------------------------
def pac(X, y, aug_X_list, num_labels, probe_kind="logreg", seed=0, **kw):
    disp = dispersion(np.asarray(X, np.float32), np.asarray(y), num_labels,
                      probe_kind=probe_kind, k=STABILITY.k_bootstrap, seed=seed, **kw)
    aug = augmentation_consistency(
        np.asarray(X, np.float32), np.asarray(y),
        [np.asarray(a, np.float32) for a in aug_X_list], num_labels,
        probe_kind=probe_kind, seed=seed, **kw)
    return float(combine(disp, aug, STABILITY))


# --------------------------------------------------------------------------------------
# Whitened-cosine upper bound (Truth-Spectrum style) — uses covariance; flagged.
# --------------------------------------------------------------------------------------
def whitened_cosine_upper(X, y, num_labels, probe_kind="logreg", seed=0, cov=None, **kw):
    """If `cov` (e.g. OOD covariance) is supplied, this becomes the OOD-using upper bound;
    with cov=None it whitens by ID covariance (the metric-ablation variant)."""
    X = np.asarray(X, dtype=np.float64)
    C = np.cov(X, rowvar=False) if cov is None else np.asarray(cov, np.float64)
    C += 1e-3 * np.eye(C.shape[0])
    W = linalg.fractional_matrix_power(C, -0.5).real
    return raptor_stability((X @ W).astype(np.float32), y, num_labels,
                            probe_kind=probe_kind, seed=seed, **kw)


# Registry: name -> (callable, needs_aug). All are higher = more stable.
PREDICTORS = {
    "sip_eigengap": (sip_eigengap, False),
    "raptor_stability": (raptor_stability, False),
    "fragility": (fragility, False),
    "augmentation_robustness": (augmentation_robustness, True),
    "xie_feature_dispersion": (xie_feature_dispersion, False),
    "pac": (pac, True),
    "whitened_cosine_id": (whitened_cosine_upper, False),
}


def compute_all(X_iid, y_iid, aug_X_list, num_labels, probe_kind="logreg", seed=0) -> dict:
    out = {}
    for name, (fn, needs_aug) in PREDICTORS.items():
        try:
            out[name] = fn(X_iid, y_iid, aug_X_list, num_labels, probe_kind=probe_kind, seed=seed) \
                if needs_aug else fn(X_iid, y_iid, num_labels, probe_kind=probe_kind, seed=seed)
        except Exception as e:                      # keep the grid going; record the failure
            out[name] = float("nan")
            out[name + "__error"] = str(e)
    return out