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"""Scorers. Every scorer returns a float in [0, 1]; malformed responses score 0.

Calibration (stated confidence vs achieved score) is reported separately by
``calibration_term`` and aggregated at report level, not mixed into task scores.
"""

from __future__ import annotations

import math
from itertools import combinations

EPS = 1e-12


def _num(x):
    try:
        v = float(x)
    except (TypeError, ValueError):
        return None
    return v if math.isfinite(v) else None


def interval_score01(interval, truth: float, scale: float, *, alpha: float = 0.1, log: bool = False) -> float:
    """Proper interval score mapped to [0, 1].

    IS = width + (2/alpha) * distance outside; score = exp(-IS / (4 * scale)).
    A correct interval of width 2*scale scores ~0.61; an exact point scores 1;
    missing by one scale costs ~20 scales (score ~0.007).
    """
    if not isinstance(interval, (list, tuple)) or len(interval) != 2:
        return 0.0
    lo, hi = _num(interval[0]), _num(interval[1])
    if lo is None or hi is None or truth is None:
        return 0.0
    if lo > hi:
        lo, hi = hi, lo
    if log:
        if lo <= 0 or hi <= 0 or truth <= 0:
            return 0.0
        lo, hi, truth = math.log10(lo), math.log10(hi), math.log10(truth)
    width = hi - lo
    miss = max(0.0, lo - truth) + max(0.0, truth - hi)
    return math.exp(-(width + (2.0 / alpha) * miss) / (4.0 * scale))


def dT_scale(truth: float, tol_abs: float = 0.5, rel: float = 0.10) -> float:
    return max(tol_abs, rel * abs(truth))


def score_ranking(pred_order, truth_values: dict, tie_eps: float, relative: bool = False) -> float:
    """Fraction of correctly ordered pairs among pairs separated by more than tie_eps."""
    labels = list(truth_values)
    if not isinstance(pred_order, (list, tuple)) or sorted(map(str, pred_order)) != sorted(labels):
        return 0.0
    pos = {lab: i for i, lab in enumerate(map(str, pred_order))}
    total = correct = 0
    for a, b in combinations(labels, 2):
        va, vb = truth_values[a], truth_values[b]
        gap = abs(va - vb) / (max(abs(va), abs(vb), EPS) if relative else 1.0)
        if gap <= tie_eps:
            continue
        total += 1
        correct += (pos[a] < pos[b]) == (va < vb)
    return correct / total if total else 1.0


def direction(delta: float, tol: float) -> str:
    return "about_the_same" if abs(delta) <= tol else ("higher" if delta > 0 else "lower")


def score_limit_check(pred: dict, ans: dict) -> float:
    if not isinstance(pred, dict):
        return 0.0
    keys = list(ans["per_limit"])
    per = sum(str(pred.get("per_limit", {}).get(k, "")).lower() == ans["per_limit"][k] for k in keys) / len(keys)
    overall = str(pred.get("overall", "")).lower() == ans["overall"]
    binding = str(pred.get("binding_limit", "")).lower() == ans["binding_limit"]
    return 0.5 * per + 0.25 * overall + 0.25 * binding


def score_approval(pred, true_set) -> float:
    """Constraint-gated: approving any non-compliant design scores 0."""
    if not isinstance(pred, (list, tuple)):
        return 0.0
    pred_set, true_set = set(map(str, pred)), set(true_set)
    if pred_set - true_set:
        return 0.0
    if not true_set:
        return 1.0 if not pred_set else 0.0
    return len(pred_set & true_set) / len(true_set)


def score_review(pred: dict, ans: dict) -> float:
    """Approving a faulty result scores 0; a correct rejection earns 0.7 + 0.3 for the right reason."""
    if not isinstance(pred, dict):
        return 0.0
    decision = str(pred.get("decision", "")).lower()
    if decision not in {"approve", "reject"}:
        return 0.0
    if ans["decision"] == "approve":
        return 1.0 if decision == "approve" else 0.0
    if decision == "approve":
        return 0.0
    return 0.7 + 0.3 * (str(pred.get("reason", "")).lower() == ans["reason"])


def score_campaign(pred: dict, ans: dict) -> dict[str, float]:
    """Fraction right at each step of a campaign_reconstruction task."""
    def letter(value) -> str:
        return str(value).strip().upper()

    def outcome(value) -> str:
        return str(value).strip().lower()

    links = pred.get("links") if isinstance(pred.get("links"), dict) else {}
    signoff = pred.get("signoff") if isinstance(pred.get("signoff"), dict) else {}
    return {"links": sum(letter(links.get(k)) == v for k, v in ans["links"].items()) / len(ans["links"]),
            "misfiled": float(letter(pred.get("misfiled")) == ans["misfiled"]),
            "signoff": sum(outcome(signoff.get(k)) == v for k, v in ans["signoff"].items()) / len(ans["signoff"])}


def _verdicts(pred, truth: dict) -> float:
    """Fraction of labelled verdicts right; anything but an object scores 0."""
    pred = pred if isinstance(pred, dict) else {}
    return sum(str(pred.get(k)).strip().lower() == v for k, v in truth.items()) / len(truth)


def score_evidence(pred: dict, ans: dict) -> dict[str, float]:
    return {"temperature": _verdicts(pred.get("temperature"), ans["temperature"]),
            "pressure": _verdicts(pred.get("pressure"), ans["pressure"])}


def score_envelope(pred: dict, ans: dict) -> dict[str, float]:
    ranking = pred.get("ranking")
    shown = [str(item).strip().upper() for item in ranking] if isinstance(ranking, (list, tuple)) else None
    return {"ranking": float(shown == ans["ranking"]), "regimes": _verdicts(pred.get("regimes"), ans["regimes"])}


def calibration_term(confidence, achieved: float) -> float | None:
    c = _num(confidence)
    if c is None or not 0.0 <= c <= 1.0:
        return None
    return (c - achieved) ** 2


def score_task(task: dict, response: dict) -> dict:
    """Score a model response (the final ``submit`` payload) against a task."""
    fam, ans, p = task["family"], task.get("answer"), task["scoring"]["params"]
    if ans is None:
        raise ValueError(f"{task['task_id']} has no answer ({task.get('answer_status')})")
    if not isinstance(response, dict):
        return {"score": 0.0, "calibration_sq_error": None, "parts": {"format": 0}}
    parts: dict[str, float] = {}
    if fam == "case_ranking":
        parts["ranking"] = score_ranking(response.get("ranking"), ans["values"], p["tie_eps"], p.get("relative", False))
        score = parts["ranking"]
    elif fam == "estimation":
        parts["dT_max_K"] = interval_score01(response.get("dT_max_K"), ans["dT_max_K"], p["scale_dT_max_K"])
        parts["coolant_rise_K"] = interval_score01(response.get("coolant_rise_K"), ans["coolant_rise_K"], p["scale_coolant_rise_K"])
        parts["dP_kPa"] = interval_score01(response.get("dP_kPa"), ans["dP_kPa"], p["log_scale_dP"], log=True)
        score = sum(parts.values()) / 3
    elif fam in {"operating_point_transfer", "evidence_budget_transfer"}:
        parts["dT_max_K"] = interval_score01(response.get("dT_max_K"), ans["dT_max_K"], p["scale_dT_max_K"])
        parts["dP_kPa"] = interval_score01(response.get("dP_kPa"), ans["dP_kPa"], p["log_scale_dP"], log=True)
        if "direction" in ans:
            d = response.get("direction") or {}
            parts["direction"] = sum(str(d.get(k, "")).lower() == v for k, v in ans["direction"].items()) / len(ans["direction"])
            score = 0.4 * parts["dT_max_K"] + 0.3 * parts["dP_kPa"] + 0.3 * parts["direction"]
        else:
            score = 0.6 * parts["dT_max_K"] + 0.4 * parts["dP_kPa"]
    elif fam == "limit_check":
        score = parts["limit_check"] = score_limit_check(response, ans)
    elif fam == "approval_choice":
        score = parts["approval"] = score_approval(response.get("approve"), ans["approve"])
    elif fam == "result_review":
        score = parts["review"] = score_review(response, ans)
    elif fam in ("campaign_reconstruction", "tool_campaign"):
        parts = score_campaign(response, ans)
        score = float(all(value == 1 for value in parts.values()))
    elif fam in ("evidence_signoff", "tool_signoff", "duty_signoff"):
        parts = score_evidence(response, ans)
        score = float(all(value == 1 for value in parts.values()))
    elif fam in ("operating_envelope", "tool_envelope"):
        parts = score_envelope(response, ans)
        score = float(all(value == 1 for value in parts.values()))
    elif fam == "regime_recognition":
        score = parts["regime"] = float(str(response.get("regime", "")).strip().lower() == ans["regime"])
    else:
        raise ValueError(f"unknown family {fam}")
    return {"score": float(score), "calibration_sq_error": calibration_term(response.get("confidence"), score),
            "parts": parts}