"""
Subspace Validity Suite (SVS) — v1.0
======================================
A diagnostic toolkit for validating claimed "visual directions"
in Vision-Language Models.

Usage:
    from svs_toolkit import SubspaceValiditySuite
    
    svs = SubspaceValiditySuite()
    report = svs.full_report(
        directions,           # (k, d) numpy array of claimed visual directions
        hidden_states_visual, # list of (d,) arrays from visual prompts
        hidden_states_gibberish,  # list of (d,) arrays from gibberish
        hidden_states_factual,    # optional
        hidden_states_math,       # optional
    )
    svs.print_report(report)

Reference:
    "The Subspace Validity Suite: Do Visual Directions in Vision-Language
    Models Survive Basic Sanity Checks?"
    WACV 2027, Evaluations and Datasets Track
"""

import numpy as np
from typing import Dict, List, Optional, Tuple
from dataclasses import dataclass, field
from scipy import stats


@dataclass
class TestResult:
    """Result of a single SVS test."""
    name: str
    passed: bool
    score: float
    threshold: float
    details: Dict = field(default_factory=dict)
    interpretation: str = ""


class SubspaceValiditySuite:
    """
    Subspace Validity Suite: 6 diagnostic tests for visual directions.
    
    Test 1: Gibberish Specificity (Gib/Vis ratio + TOST equivalence)
    Test 2: Cross-Type Discrimination (AUROC for visual vs non-visual)
    Test 3: Projection Magnitude (directions above random baseline)
    Test 4: Anisotropy Orthogonality (overlap with random subspace)
    Test 5: Direction Consistency (stability across calibration splits)
    Test 6: Pairwise Discrimination (classifier on joint profiles)
    """

    def __init__(self, equivalence_margin: float = 0.2,
                 alpha: float = 0.05, n_bootstrap: int = 10000):
        self.equivalence_margin = equivalence_margin
        self.alpha = alpha
        self.n_bootstrap = n_bootstrap

    # ==============================================================
    #  Test 1: Gibberish Specificity
    # ==============================================================
    def test_gibberish_specificity(
        self,
        directions: np.ndarray,
        h_visual: List[np.ndarray],
        h_gibberish: List[np.ndarray],
        random_basis: Optional[np.ndarray] = None,
    ) -> TestResult:
        """
        Test whether directions respond more to visual input than gibberish.
        
        PASS: Gib/Vis < 1 - margin AND TOST rejects equivalence
        FAIL: Gib/Vis ≈ 1.0 (directions are content-blind)
        
        Args:
            directions: (k, d) claimed visual directions
            h_visual: list of (d,) hidden states from visual prompts
            h_gibberish: list of (d,) hidden states from gibberish
            random_basis: optional (k, d) random baseline
        """
        if random_basis is None:
            d = directions.shape[1]
            rng = np.random.RandomState(42)
            random_basis = np.linalg.qr(
                rng.randn(d, directions.shape[0]))[0].T[:directions.shape[0]]

        def compute_alpha(h, dirs, rand):
            hn = np.linalg.norm(h)
            if hn < 1e-12:
                return 0.0
            proj = (dirs @ h) @ dirs
            proj_r = (rand @ h) @ rand
            return float(np.linalg.norm(proj) / (np.linalg.norm(proj_r) + 1e-10))

        alphas_vis = [compute_alpha(h, directions, random_basis) for h in h_visual]
        alphas_gib = [compute_alpha(h, directions, random_basis) for h in h_gibberish]

        mean_vis = np.mean(alphas_vis)
        mean_gib = np.mean(alphas_gib)
        gib_vis = mean_gib / (mean_vis + 1e-10)

        # TOST equivalence test
        n = min(len(alphas_vis), len(alphas_gib))
        ratios = np.array(alphas_gib[:n]) / (np.array(alphas_vis[:n]) + 1e-10)
        delta = self.equivalence_margin

        t_lo, p_lo = stats.ttest_1samp(ratios, 1 - delta)
        t_hi, p_hi = stats.ttest_1samp(ratios, 1 + delta)
        p_tost = max(p_lo / 2 if t_lo > 0 else 1.0,
                     p_hi / 2 if t_hi < 0 else 1.0)

        # Cohen's d
        sp_val = np.sqrt((np.var(alphas_vis, ddof=1) + np.var(alphas_gib, ddof=1)) / 2)
        cohens_d = (mean_vis - mean_gib) / (sp_val + 1e-10)

        # Bootstrap CI
        gv_samples = np.array(alphas_gib[:n]) / (np.array(alphas_vis[:n]) + 1e-10)
        boot = [np.mean(np.random.choice(gv_samples, n, replace=True))
                for _ in range(self.n_bootstrap)]
        ci_lo, ci_hi = np.percentile(boot, [2.5, 97.5])

        # PASS only if Gib/Vis is clearly below 1 - margin
        passed = gib_vis < (1 - self.equivalence_margin) and p_tost > self.alpha

        return TestResult(
            name="Gibberish Specificity",
            passed=passed,
            score=gib_vis,
            threshold=1 - self.equivalence_margin,
            details={
                "gib_vis_ratio": float(gib_vis),
                "visual_mean": float(mean_vis),
                "gibberish_mean": float(mean_gib),
                "tost_p": float(p_tost),
                "cohens_d": float(cohens_d),
                "ci_95": [float(ci_lo), float(ci_hi)],
                "n_visual": len(alphas_vis),
                "n_gibberish": len(alphas_gib),
                "tost_equivalent": p_tost < self.alpha,
            },
            interpretation=(
                "FAIL: Gibberish activates these directions as strongly as "
                "visual content. Directions capture network geometry, not "
                "visual information."
                if not passed else
                "PASS: Directions respond preferentially to visual content."
            ),
        )

    # ==============================================================
    #  Test 2: Cross-Type Discrimination
    # ==============================================================
    def test_discrimination(
        self,
        directions: np.ndarray,
        h_visual: List[np.ndarray],
        h_other: List[np.ndarray],
        label: str = "other",
    ) -> TestResult:
        """
        Test whether projection magnitude discriminates visual from other.
        
        PASS: AUROC > 0.65
        FAIL: AUROC ≈ 0.5 (no discrimination)
        """
        def proj_magnitude(h):
            hn = np.linalg.norm(h)
            if hn < 1e-12: return 0.0
            proj = (directions @ h) @ directions
            return float(np.linalg.norm(proj) / hn)

        scores_vis = [proj_magnitude(h) for h in h_visual]
        scores_oth = [proj_magnitude(h) for h in h_other]

        labels = [1] * len(scores_vis) + [0] * len(scores_oth)
        scores = scores_vis + scores_oth

        # Compute AUROC
        from sklearn.metrics import roc_auc_score
        try:
            auroc = roc_auc_score(labels, scores)
        except:
            auroc = 0.5

        passed = auroc > 0.65

        return TestResult(
            name=f"Discrimination (visual vs {label})",
            passed=passed,
            score=float(auroc),
            threshold=0.65,
            details={
                "auroc": float(auroc),
                "n_visual": len(scores_vis),
                "n_other": len(scores_oth),
                "mean_visual": float(np.mean(scores_vis)),
                "mean_other": float(np.mean(scores_oth)),
            },
            interpretation=(
                f"FAIL: AUROC={auroc:.3f}. Projection magnitude cannot "
                f"discriminate visual from {label}."
                if not passed else
                f"PASS: AUROC={auroc:.3f}. Directions preferentially "
                f"activate on visual content."
            ),
        )

    # ==============================================================
    #  Test 3: Projection Magnitude
    # ==============================================================
    def test_projection_magnitude(
        self,
        directions: np.ndarray,
        h_visual: List[np.ndarray],
    ) -> TestResult:
        """
        Test whether directions capture meaningful variance.
        
        PASS: Mean projection ratio > 1.5x random baseline
        FAIL: Projections near random level
        """
        d = directions.shape[1]
        k = directions.shape[0]
        rng = np.random.RandomState(42)
        random_basis = np.linalg.qr(rng.randn(d, k))[0].T[:k]

        ratios = []
        for h in h_visual:
            hn = np.linalg.norm(h)
            if hn < 1e-12: continue
            proj_d = np.linalg.norm((directions @ h) @ directions)
            proj_r = np.linalg.norm((random_basis @ h) @ random_basis)
            ratios.append(proj_d / (proj_r + 1e-10))

        mean_ratio = np.mean(ratios) if ratios else 0

        return TestResult(
            name="Projection Magnitude",
            passed=mean_ratio > 1.5,
            score=float(mean_ratio),
            threshold=1.5,
            details={
                "mean_ratio_over_random": float(mean_ratio),
                "std": float(np.std(ratios)) if ratios else 0,
                "n_samples": len(ratios),
            },
            interpretation=(
                f"Projection ratio: {mean_ratio:.2f}x random. "
                + ("PASS" if mean_ratio > 1.5 else
                   "FAIL: directions don't capture more variance than random.")
            ),
        )

    # ==============================================================
    #  Test 4: Anisotropy Orthogonality
    # ==============================================================
    def test_anisotropy_orthogonality(
        self,
        directions: np.ndarray,
        h_all: List[np.ndarray],
    ) -> TestResult:
        """
        Test whether directions are orthogonal to the general
        anisotropy of the representation space.
        
        PASS: Directions capture variance BEYOND general anisotropy
        FAIL: Directions align with top PCA of all tokens
        """
        from sklearn.decomposition import PCA

        all_h = np.array(h_all)
        valid = ~np.isnan(all_h).any(axis=1)
        all_h = all_h[valid]

        k = directions.shape[0]
        if all_h.shape[0] > k:
            general_pca = PCA(n_components=k).fit(all_h).components_
        else:
            return TestResult(
                name="Anisotropy Orthogonality",
                passed=False, score=0, threshold=0.5,
                interpretation="Insufficient data.")

        cos_matrix = np.abs(directions @ general_pca.T)
        mean_alignment = float(cos_matrix.mean())
        max_alignment = float(cos_matrix.max())

        passed = mean_alignment < 0.3

        return TestResult(
            name="Anisotropy Orthogonality",
            passed=passed,
            score=float(mean_alignment),
            threshold=0.3,
            details={
                "mean_cosine": float(mean_alignment),
                "max_cosine": float(max_alignment),
            },
            interpretation=(
                f"Mean |cosine| with general PCA: {mean_alignment:.4f}. "
                + ("PASS: directions capture variance beyond anisotropy."
                   if passed else
                   "FAIL: directions align with general anisotropy.")
            ),
        )

    # ==============================================================
    #  Test 5: Direction Consistency
    # ==============================================================
    def test_consistency(
        self,
        h_visual: List[np.ndarray],
        k: int = 48,
        n_splits: int = 5,
    ) -> TestResult:
        """
        Test whether directions are stable across random splits.
        
        PASS: Mean alignment > 0.8 across splits
        FAIL: Directions change with calibration data
        """
        from sklearn.decomposition import PCA

        rng = np.random.RandomState(42)
        indices = rng.permutation(len(h_visual))
        split_size = len(indices) // n_splits

        bases = []
        for i in range(n_splits):
            split = indices[i * split_size:(i + 1) * split_size]
            data = np.array([h_visual[j] for j in split])
            valid = ~np.isnan(data).any(axis=1)
            data = data[valid]
            if data.shape[0] > k:
                basis = PCA(n_components=k).fit(data).components_
                bases.append(basis)

        if len(bases) < 2:
            return TestResult(
                name="Direction Consistency",
                passed=False, score=0, threshold=0.8,
                interpretation="Insufficient data for splits.")

        alignments = []
        for i in range(len(bases)):
            for j in range(i + 1, len(bases)):
                cos = np.abs(bases[i] @ bases[j].T)
                alignments.append(cos.max(axis=1).mean())

        mean_align = float(np.mean(alignments))

        return TestResult(
            name="Direction Consistency",
            passed=mean_align > 0.8,
            score=float(mean_align),
            threshold=0.8,
            details={
                "mean_split_alignment": float(mean_align),
                "n_splits": n_splits,
                "n_comparisons": len(alignments),
            },
            interpretation=(
                f"Split alignment: {mean_align:.4f}. "
                + ("PASS" if mean_align > 0.8 else "FAIL: unstable directions.")
            ),
        )

    # ==============================================================
    #  Test 6: Pairwise Discrimination
    # ==============================================================
    def test_pairwise_discrimination(
        self,
        directions_dict: Dict[str, np.ndarray],
        h_by_type: Dict[str, List[np.ndarray]],
        layers: Optional[List[int]] = None,
    ) -> TestResult:
        """
        Test whether a classifier can distinguish content types
        using joint projection profiles across methods.
        
        PASS: Only visual-vs-other pairs separable (visual-specific)
        FAIL: ALL pairs separable (generic geometry)
        
        Args:
            directions_dict: {"method_name": (k, d) array}
            h_by_type: {"visual": [...], "gibberish": [...], ...}
        """
        from sklearn.ensemble import GradientBoostingClassifier
        from sklearn.model_selection import cross_val_score, StratifiedKFold
        from sklearn.preprocessing import StandardScaler

        types = list(h_by_type.keys())
        methods = list(directions_dict.keys())

        # Build feature matrices
        def build_features(hidden_states):
            X = np.zeros((len(hidden_states), len(methods)))
            for mi, (mname, dirs) in enumerate(directions_dict.items()):
                for i, h in enumerate(hidden_states):
                    hn = np.linalg.norm(h)
                    if hn > 1e-12:
                        proj = (dirs @ h) @ dirs
                        X[i, mi] = np.linalg.norm(proj) / hn
            return X

        type_features = {t: build_features(hs) for t, hs in h_by_type.items()}

        # Pairwise classification
        cv = StratifiedKFold(n_splits=min(10, min(len(v) for v in h_by_type.values()) // 2),
                              shuffle=True, random_state=42)
        scaler = StandardScaler()
        pair_accs = {}

        for i, t1 in enumerate(types):
            for t2 in types[i + 1:]:
                X1, X2 = type_features[t1], type_features[t2]
                N = min(len(X1), len(X2))
                X = np.vstack([X1[:N], X2[:N]])
                y = np.array([1] * N + [0] * N)
                X_s = scaler.fit_transform(X)

                clf = GradientBoostingClassifier(
                    n_estimators=100, max_depth=3, random_state=42)
                scores = cross_val_score(clf, X_s, y, cv=cv, scoring='accuracy')
                pair_accs[f"{t1}_vs_{t2}"] = float(scores.mean())

        # Diagnosis
        visual_pairs = {k: v for k, v in pair_accs.items() if "visual" in k}
        nonvis_pairs = {k: v for k, v in pair_accs.items() if "visual" not in k}

        mean_vis = np.mean(list(visual_pairs.values())) if visual_pairs else 0
        mean_nonvis = np.mean(list(nonvis_pairs.values())) if nonvis_pairs else 0

        if mean_nonvis > 0.80:
            diagnosis = "generic_geometry"
            passed = False
        elif mean_vis > 0.80 and mean_nonvis < 0.60:
            diagnosis = "visual_specific"
            passed = True
        else:
            diagnosis = "mixed"
            passed = False

        return TestResult(
            name="Pairwise Discrimination",
            passed=passed,
            score=float(mean_vis),
            threshold=0.80,
            details={
                "pair_accuracies": pair_accs,
                "mean_visual_pairs": float(mean_vis),
                "mean_nonvisual_pairs": float(mean_nonvis),
                "diagnosis": diagnosis,
            },
            interpretation={
                "generic_geometry": (
                    "FAIL: ALL content type pairs separable. Projections encode "
                    "general linguistic features, not visual content."),
                "visual_specific": (
                    "PASS: Only visual-vs-other pairs separable. Projections "
                    "are visual-specific."),
                "mixed": (
                    "INCONCLUSIVE: Mixed separability pattern."),
            }.get(diagnosis, "Unknown"),
        )

    # ==============================================================
    #  Full Report
    # ==============================================================
    def full_report(
        self,
        directions: np.ndarray,
        h_visual: List[np.ndarray],
        h_gibberish: List[np.ndarray],
        h_factual: Optional[List[np.ndarray]] = None,
        h_math: Optional[List[np.ndarray]] = None,
        directions_dict: Optional[Dict[str, np.ndarray]] = None,
    ) -> Dict[str, TestResult]:
        """Run all applicable SVS tests and return results."""
        results = {}

        # Test 1: Gibberish Specificity
        results["gibberish"] = self.test_gibberish_specificity(
            directions, h_visual, h_gibberish)

        # Test 2: Discrimination
        results["discrimination_gib"] = self.test_discrimination(
            directions, h_visual, h_gibberish, "gibberish")

        # Test 3: Projection Magnitude
        results["magnitude"] = self.test_projection_magnitude(
            directions, h_visual)

        # Test 4: Anisotropy Orthogonality
        all_h = h_visual + h_gibberish
        if h_factual: all_h += h_factual
        if h_math: all_h += h_math
        results["anisotropy"] = self.test_anisotropy_orthogonality(
            directions, all_h)

        # Test 5: Direction Consistency
        results["consistency"] = self.test_consistency(h_visual)

        # Test 6: Pairwise Discrimination
        if directions_dict and h_factual and h_math:
            h_by_type = {
                "visual": h_visual,
                "gibberish": h_gibberish,
                "factual": h_factual,
                "math": h_math,
            }
            results["pairwise"] = self.test_pairwise_discrimination(
                directions_dict, h_by_type)

        return results

    def print_report(self, results: Dict[str, TestResult]):
        """Print a formatted validity report."""
        print("\n" + "=" * 60)
        print("  SUBSPACE VALIDITY SUITE — REPORT")
        print("=" * 60)

        n_pass = sum(1 for r in results.values() if r.passed)
        n_total = len(results)

        for key, result in results.items():
            status = "PASS" if result.passed else "FAIL"
            print(f"\n  [{status}] {result.name}")
            print(f"        Score: {result.score:.4f} "
                  f"(threshold: {result.threshold})")
            print(f"        {result.interpretation}")

        print(f"\n{'='*60}")
        print(f"  SUMMARY: {n_pass}/{n_total} tests passed")
        if n_pass == 0:
            print(f"  VERDICT: Directions do NOT capture visual content.")
            print(f"  They reflect generic network geometry.")
        elif n_pass == n_total:
            print(f"  VERDICT: Directions appear to capture visual content.")
        else:
            print(f"  VERDICT: Mixed results. {n_pass}/{n_total} validity "
                  f"tests passed.")
        print(f"{'='*60}\n")