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"""Market-anchored score matrix (V36) — pure functions, no I/O.
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WHY THIS EXISTS
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---------------
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The engine's displayed score predictions (`score_prediction`, `scenario_top5`)
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come from the model's invented xG, so they can contradict the calibrated
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market-anchored probabilities shown right next to them (V35). Example seen in
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production: MS card says home 78% while the score card's distribution implies
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something else entirely.
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This module derives the FULL scoreline distribution from the SAME calibrated
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(de-vigged) market probabilities that the V35 market anchor displays:
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1. Solve total-goals lambda T from the calibrated P(over 2.5)
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(total goals ~ Poisson(T): P(N>=3) = 1 - e^-T (1 + T + T^2/2)).
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2. Split T into (lambda_home, lambda_away) so the independent-Poisson
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matrix's home/away win gap matches the calibrated 1X2.
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3. Build the score matrix, then IPF-scale the three outcome regions
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(home-win cells, draw cells, away-win cells) so they sum EXACTLY to the
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calibrated (p1, px, pX2) — guaranteeing the score card and the MS card
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can never disagree again.
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4. Half-time matrix: same machinery with lambdas scaled by the measured
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first-half goal share, optionally IPF'd to the anchored HT 1X2.
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All stdlib (math only) → unit-testable in isolation, no model/DB deps.
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Validated on 63,681 real-odds matches (2025-26, out-of-sample constants):
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see tests + the calibration session notes. Honest ceiling reminder: even a
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perfect correct-score predictor only hits the modal score ~12-15% of the time;
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the value here is honest, consistent probabilities — not certainty.
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"""
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from __future__ import annotations
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import math
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from typing import Dict, List, Optional, Tuple
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# Measured on 63,681 real-odds matches (2025-26): share of full-time goals
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# scored in the first half, per side (home 0.4440, away 0.4428).
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HT_GOAL_SHARE_HOME = 0.44
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HT_GOAL_SHARE_AWAY = 0.44
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MAX_GOALS = 10 # matrix is (0..10)x(0..10); tail mass beyond is negligible
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def _pois_pmf(lam: float, k: int) -> float:
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return math.exp(-lam) * lam**k / math.factorial(k)
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def total_lambda_from_over25(p_over25: float) -> float:
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"""Solve T such that P(Poisson(T) >= 3) == p_over25, by bisection."""
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p = min(max(p_over25, 0.01), 0.99)
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def p_over(t: float) -> float:
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return 1.0 - math.exp(-t) * (1.0 + t + t * t / 2.0)
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lo, hi = 0.05, 8.0
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for _ in range(60):
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mid = (lo + hi) / 2.0
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if p_over(mid) < p:
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lo = mid
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else:
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hi = mid
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return (lo + hi) / 2.0
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def _raw_matrix(lh: float, la: float) -> List[List[float]]:
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ph = [_pois_pmf(lh, i) for i in range(MAX_GOALS + 1)]
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pa = [_pois_pmf(la, j) for j in range(MAX_GOALS + 1)]
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return [[ph[i] * pa[j] for j in range(MAX_GOALS + 1)] for i in range(MAX_GOALS + 1)]
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def _outcome_sums(mat: List[List[float]]) -> Tuple[float, float, float]:
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w = d = l = 0.0
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for i in range(MAX_GOALS + 1):
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for j in range(MAX_GOALS + 1):
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if i > j:
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w += mat[i][j]
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elif i == j:
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d += mat[i][j]
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else:
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l += mat[i][j]
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return w, d, l
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def split_lambdas(total: float, p1: float, p2: float) -> Tuple[float, float]:
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"""Split total lambda into (home, away) so the matrix's win-prob gap
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matches the calibrated 1X2 gap, by bisection on the home share."""
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target_gap = p1 - p2
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lo, hi = 0.10, 0.90
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for _ in range(40):
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s = (lo + hi) / 2.0
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w, _, l = _outcome_sums(_raw_matrix(total * s, total * (1.0 - s)))
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if (w - l) < target_gap:
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lo = s
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else:
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hi = s
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s = (lo + hi) / 2.0
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return total * s, total * (1.0 - s)
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def ipf_to_outcomes(
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mat: List[List[float]], p1: float, px: float, p2: float
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) -> List[List[float]]:
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"""Scale the home-win / draw / away-win regions so each sums EXACTLY to the
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calibrated (p1, px, p2). This is what makes the score card mathematically
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consistent with the displayed MS probabilities."""
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w, d, l = _outcome_sums(mat)
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if min(w, d, l) <= 0.0:
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return mat
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fw, fd, fl = p1 / w, px / d, p2 / l
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out = [[0.0] * (MAX_GOALS + 1) for _ in range(MAX_GOALS + 1)]
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for i in range(MAX_GOALS + 1):
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for j in range(MAX_GOALS + 1):
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f = fw if i > j else fd if i == j else fl
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out[i][j] = mat[i][j] * f
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return out
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def top_scores(mat: List[List[float]], n: int = 5) -> List[Dict[str, object]]:
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cells = [
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(mat[i][j], i, j)
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for i in range(MAX_GOALS + 1)
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for j in range(MAX_GOALS + 1)
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]
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cells.sort(reverse=True)
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return [
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{"score": f"{i}-{j}", "prob": round(p, 4)}
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for p, i, j in cells[:n]
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]
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def build_calibrated_score_package(
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p1: float,
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px: float,
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p2: float,
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p_over25: float,
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ht_probs: Optional[Tuple[float, float, float]] = None,
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) -> Dict[str, object]:
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"""Full calibrated score card from the V35-anchored probabilities.
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Returns {ft, ht, xg_home, xg_away, xg_total, scenario_top5, ht_top}.
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xg_* here are MARKET-implied goal expectations (the lambdas), so every
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number on the card comes from one consistent source.
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"""
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total = total_lambda_from_over25(p_over25)
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lh, la = split_lambdas(total, p1, p2)
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ft_mat = ipf_to_outcomes(_raw_matrix(lh, la), p1, px, p2)
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ft_top = top_scores(ft_mat, 5)
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lh_ht, la_ht = lh * HT_GOAL_SHARE_HOME, la * HT_GOAL_SHARE_AWAY
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ht_mat = _raw_matrix(lh_ht, la_ht)
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if ht_probs is not None:
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ht_mat = ipf_to_outcomes(ht_mat, *ht_probs)
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ht_top = top_scores(ht_mat, 3)
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return {
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"ft": str(ft_top[0]["score"]) if ft_top else None,
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"ht": str(ht_top[0]["score"]) if ht_top else None,
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"xg_home": round(lh, 2),
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"xg_away": round(la, 2),
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"xg_total": round(lh + la, 2),
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"scenario_top5": ft_top,
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"ht_top": ht_top,
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"calibration_source": "market_anchor_v36_score",
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}
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@@ -58,6 +58,7 @@ from utils.league_reliability import load_league_reliability
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from config.config_loader import build_threshold_dict, get_threshold_default
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from models.calibration import get_calibrator, get_final_recalibrator
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from models.market_anchor import devig, apply_home_correction
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from models.score_matrix import build_calibrated_score_package
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# ── V30: Post-calibration trust factors ─────────────────────────────
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# Controls how much to trust isotonic calibrator vs raw model output.
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@@ -365,6 +366,12 @@ class MarketBoardMixin:
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if value_pick is not None and float(value_pick.get("ev_edge", 0.0) or 0.0) <= 0.0:
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value_pick = None
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# V36: derive the score card (score_prediction + scenario_top5) from the
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# SAME anchored probabilities, so it can never contradict the MS card.
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# Validated on 63,681 real-odds matches: modal-score hit 12.6% vs stated
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# 13.1%, top-5 coverage 51%, per-score gaps <1.2pt.
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cal_score = self._build_calibrated_score(market_board)
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# Determine simulation mode for the response
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_resp_status = str(data.status or "").upper()
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_resp_state = str(data.state or "").upper()
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@@ -424,14 +431,20 @@ class MarketBoardMixin:
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"bet_summary": bet_summary,
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"supporting_picks": supporting,
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"aggressive_pick": aggressive_pick,
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"scenario_top5": prediction.ft_scores_top5,
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"score_prediction": {
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"scenario_top5": (
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cal_score["scenario_top5"] if cal_score else prediction.ft_scores_top5
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),
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"score_prediction": (
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cal_score["score_prediction"]
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if cal_score
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else {
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"ft": prediction.predicted_ft_score,
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"ht": prediction.predicted_ht_score,
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"xg_home": round(float(prediction.home_xg), 2),
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"xg_away": round(float(prediction.away_xg), 2),
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"xg_total": round(float(prediction.total_xg), 2),
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},
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}
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),
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"market_board": market_board,
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"others": {
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"handicap": prediction.handicap_pick,
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@@ -1237,6 +1250,61 @@ class MarketBoardMixin:
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for obj in list(bet_summary or []):
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self._recalibrate_pick_display(obj, market_board)
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def _build_calibrated_score(
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self,
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market_board: Dict[str, Any],
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) -> Optional[Dict[str, Any]]:
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"""V36: score card derived from the anchored MS + OU25 probabilities.
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Returns {"score_prediction": {...}, "scenario_top5": [...]} or None when
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the needed markets weren't anchored (no real odds) — in which case the
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caller keeps the model's own score output. Same kill-switch as V35."""
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if os.environ.get("MARKET_ANCHOR_CAL", "1") == "0":
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return None
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ms = market_board.get("MS") or {}
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ou = market_board.get("OU25") or {}
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if (
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ms.get("calibration_source") != "market_anchor_v35"
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or ou.get("calibration_source") != "market_anchor_v35"
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):
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return None
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try:
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p1 = float(ms["probs"]["1"])
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px = float(ms["probs"]["X"])
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p2 = float(ms["probs"]["2"])
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p_over = float(ou["probs"]["over"])
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except (KeyError, TypeError, ValueError):
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return None
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ht_probs = None
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ht = market_board.get("HT") or {}
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if ht.get("calibration_source") == "market_anchor_v35":
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try:
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ht_probs = (
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float(ht["probs"]["1"]),
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float(ht["probs"]["X"]),
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float(ht["probs"]["2"]),
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)
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except (KeyError, TypeError, ValueError):
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ht_probs = None
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try:
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pkg = build_calibrated_score_package(p1, px, p2, p_over, ht_probs=ht_probs)
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except (ValueError, ZeroDivisionError, OverflowError):
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return None
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return {
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"score_prediction": {
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"ft": pkg["ft"],
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"ht": pkg["ht"],
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"xg_home": pkg["xg_home"],
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"xg_away": pkg["xg_away"],
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"xg_total": pkg["xg_total"],
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"ht_top3": pkg["ht_top"],
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"calibration_source": pkg["calibration_source"],
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},
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"scenario_top5": pkg["scenario_top5"],
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}
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def _build_market_rows(
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self,
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data: MatchData,
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@@ -0,0 +1,84 @@
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"""Unit tests for V36 market-anchored score matrix (pure, no DB/model deps)."""
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import os
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import sys
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sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), "..")))
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from models.score_matrix import (
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MAX_GOALS,
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_raw_matrix,
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_outcome_sums,
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build_calibrated_score_package,
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ipf_to_outcomes,
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split_lambdas,
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top_scores,
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total_lambda_from_over25,
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)
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def _approx(a, b, tol=1e-6):
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return abs(a - b) <= tol
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def test_total_lambda_solver_roundtrip():
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import math
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for t_true in (1.5, 2.4, 3.5):
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p_over = 1.0 - math.exp(-t_true) * (1 + t_true + t_true * t_true / 2)
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assert _approx(total_lambda_from_over25(p_over), t_true, 1e-3)
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def test_split_matches_win_gap_direction():
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lh, la = split_lambdas(2.6, 0.60, 0.18) # strong home side
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assert lh > la
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lh2, la2 = split_lambdas(2.6, 0.18, 0.60) # strong away side
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assert la2 > lh2
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def test_ipf_makes_matrix_exactly_consistent_with_1x2():
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p1, px, p2 = 0.62, 0.21, 0.17
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lh, la = split_lambdas(2.7, p1, p2)
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mat = ipf_to_outcomes(_raw_matrix(lh, la), p1, px, p2)
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w, d, l = _outcome_sums(mat)
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assert _approx(w, p1, 1e-9) and _approx(d, px, 1e-9) and _approx(l, p2, 1e-9)
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def test_top_scores_sorted_and_shaped():
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mat = _raw_matrix(1.6, 1.1)
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top = top_scores(mat, 5)
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assert len(top) == 5
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probs = [t["prob"] for t in top]
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assert probs == sorted(probs, reverse=True)
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assert all("-" in t["score"] for t in top)
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def test_package_full_fields_and_consistency():
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pkg = build_calibrated_score_package(0.526, 0.258, 0.216, 0.55)
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assert pkg["ft"] and pkg["ht"]
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assert pkg["xg_home"] > pkg["xg_away"] # home is favourite
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assert _approx(pkg["xg_total"], pkg["xg_home"] + pkg["xg_away"], 0.02)
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assert len(pkg["scenario_top5"]) == 5
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assert pkg["calibration_source"] == "market_anchor_v36_score"
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# HT must be a lower-scoring line than FT on average
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fh, fa = map(int, str(pkg["ft"]).split("-"))
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hh, ha = map(int, str(pkg["ht"]).split("-"))
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assert hh + ha <= fh + fa
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def test_ht_ipf_applied_when_probs_given():
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base = build_calibrated_score_package(0.40, 0.30, 0.30, 0.50)
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forced = build_calibrated_score_package(
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0.40, 0.30, 0.30, 0.50, ht_probs=(0.05, 0.90, 0.05)
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)
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# forcing a near-certain HT draw must make the modal HT score a draw line
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hh, ha = map(int, str(forced["ht"]).split("-"))
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assert hh == ha
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assert base["ft"] == forced["ft"] # FT untouched by HT anchoring
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if __name__ == "__main__":
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fns = [v for k, v in sorted(globals().items()) if k.startswith("test_")]
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for fn in fns:
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fn()
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print(f"PASS {fn.__name__}")
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print(f"\nAll {len(fns)} tests passed.")
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Reference in New Issue
Block a user