fpl-solver / engine.py
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Bonus from positional base rates, tilted gently by projected BPS
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import pandas as pd
import numpy as np
import math
from scipy.stats import nbinom
# Share of Premier League goals that are own goals, which the team projection
# counts but no player is credited with: 245 of 6,700 in data/ (2020-21 on).
OWN_GOAL_RATE = 0.0366
# Each share column -> (the per-player columns it can be built from, first
# present wins; the fraction of the team projection it hands out).
#
# Goals share on open-play xG where the baselines carry it, because penalty
# goals are handed out separately by taker (pen_share); sharing blended xG as
# well would count a taker's penalties twice. The own-goal cut is applied to
# the team total in calculate_single_match_points, so the fraction here is 1.
SHARE_STATS = {
"xG_share": (("baseline_npxG_p90", "baseline_xG_p90"), 1.0),
"xA_share": (("baseline_xA_p90",), 1.0),
"xCBIT_share": (("baseline_CBIT_p90",), 1.0),
"xCBITR_share": (("baseline_CBITR_p90",), 1.0),
"YC_share": (("baseline_yc_p90",), 1.0),
"RC_share": (("baseline_rc_p90",), 1.0),
"pen_share": (("pen_strength",), 1.0),
}
def _share_source(player_df, candidates):
"""The first of `candidates` present on player_df, as floats >= 0 (else 0)."""
for col in candidates:
if col in player_df.columns:
return player_df[col].astype(float).clip(lower=0)
return pd.Series(0.0, index=player_df.index)
def closed_shares(player_df, gw_matches, gw_xmins, gw, share_context=None):
"""Per-player shares for one gameweek that hand out each team's total once.
The static shares divide a player's per-90 rate by his team's historical
per-90 total. Numerator and denominator are measured independently, so
nothing makes a squad add up to its team: at GW5 Newcastle's players were
projected for 67% of Newcastle's goals and Ipswich's for 133% of Ipswich's
assists, largely because a signing's rate was earned at his old club and
divided by his new club's total.
Here the denominator is the squad itself - every player's rate weighted by
the minutes he is projected to play in this match - so the shares of a
team always sum to one match's worth of that team (less own goals, for
goals). Relative quality within the squad decides who gets what.
Returns (shares DataFrame indexed like player_df, context). `context`
records each player's contribution and each team's denominator so that a
later single-player recalculation can swap in just his own contribution
rather than re-deriving a squad of one - which would hand one player his
whole team's output.
"""
if "team" not in player_df.columns:
return None, None
sources = {col: _share_source(player_df, cands) for col, (cands, _) in SHARE_STATS.items()}
home = gw_matches["home_team_num"].value_counts()
away = gw_matches["away_team_num"].value_counts()
n_matches = player_df["team"].map(lambda t: int(home.get(t, 0) + away.get(t, 0)))
# Per-match minutes, exactly as the scoring loop derives them, so the
# allocation closes against the same minutes the points are scored on.
mins = gw_xmins.astype(float)
per_match = np.where((n_matches > 1) & (mins > 35), mins * 0.97, mins)
per_match = pd.Series(np.where(n_matches > 0, per_match, 0.0), index=player_df.index)
contrib = pd.DataFrame(index=player_df.index)
for col in SHARE_STATS:
contrib[col] = sources[col] * per_match / 90.0
teams = player_df["team"]
denom = contrib.groupby(teams).sum()
if share_context is not None and gw in share_context.get("denom", {}):
# Single-player run: start from the full squad's totals and swap this
# player's old contribution for the new one.
base_denom = share_context["denom"][gw]
base_contrib = share_context["contrib"][gw]
rows = []
for idx in player_df.index:
pid, team = player_df.at[idx, "id"], teams.at[idx]
row = base_denom.loc[team].copy() if team in base_denom.index else contrib.loc[idx] * 0
if pid in base_contrib.index:
row = row - base_contrib.loc[pid]
rows.append(row + contrib.loc[idx])
team_denom = pd.DataFrame(rows, index=player_df.index)
else:
team_denom = denom.reindex(teams.values)
team_denom.index = player_df.index
shares = pd.DataFrame(index=player_df.index)
for col, (_, fraction) in SHARE_STATS.items():
d = team_denom[col].replace(0, np.nan)
shares[col] = (fraction * sources[col] / d).fillna(0.0)
context = {
"contrib": contrib.set_index(player_df["id"]),
"denom": denom,
}
return shares, context
# How strongly a player's own projected BPS tilts his position's base bonus
# rate. Bonus is mostly noise - between defenders the spread of bonus per 90
# is larger than its mean - so the tilt is deliberately gentle: at 0.5, twice
# his position's average BPS earns 1.41x the base rate, not 2x.
BONUS_TILT_POWER = 0.5
BONUS_TILT_CAP = 3.0
def bonus_reference(rows):
"""Minutes-weighted projected BPS per 90 for each position, over a gameweek."""
bps, mins = {}, {}
for _, _, pos, match_bps, m in rows:
if m <= 0:
continue
bps[pos] = bps.get(pos, 0.0) + max(match_bps, 0.0)
mins[pos] = mins.get(pos, 0.0) + m
return {pos: bps[pos] / (mins[pos] / 90.0) for pos in bps if mins[pos] > 0}
def apply_bonus(rows, bonus_model, reference):
"""Expected bonus per (player index, match id) for one gameweek.
bonus = position's base rate per 90 x minutes/90
x (his BPS per 90 / position's average BPS per 90) ** BONUS_TILT_POWER
The base rate is what that position actually earns (bonus_model.json,
from FPL's own history), so across a position the projection starts where
reality is. Replaces BPS / 29.4, which projected about 10 bonus points a
match when 6 exist, over-projected defenders 2.2x and gave keepers none.
"""
base = {int(k): float(v) for k, v in bonus_model["base_per90"].items()}
out = {}
for index, match_id, pos, match_bps, m in rows:
if m <= 0:
continue
ref = reference.get(pos)
per90 = max(match_bps, 0.0) / (m / 90.0)
tilt = (per90 / ref) ** BONUS_TILT_POWER if ref and ref > 0 else 1.0
out[(index, match_id)] = base.get(int(pos), 0.0) * (m / 90.0) * min(tilt, BONUS_TILT_CAP)
return out
def poisson_probability_of_conceding_2_or_more_goals(lambd):
"""Calculates the probability of conceding 2 or more goals using Poisson distribution."""
p_0 = math.exp(-lambd)
p_1 = lambd * math.exp(-lambd)
return 1 - p_0 - p_1
def poisson_pmf(k, lambd):
"""Calculates the Poisson Probability Mass Function P(X=k)."""
if k < 0:
return 0.0
if lambd < 1e-9: # Treat very small lambda as zero for stability
return 1.0 if k == 0 else 0.0
return (lambd**k * math.exp(-lambd)) / math.factorial(k)
def neg_binom_probability_of_value(expected_mean, value, dispersion=1.0):
"""
Calculates the exact probability (PMF) of getting exactly 'value' events.
Used for: Saves, Goals, Assists.
"""
if expected_mean <= 0:
return 0.0
if dispersion <= 1.0: # Fallback to Poisson if no dispersion
return poisson_pmf(value, expected_mean)
# Convert Mean + Dispersion to n, p
p = 1 / dispersion
n = (expected_mean * p) / (1 - p)
return nbinom.pmf(value, n, p)
def neg_binom_probability_at_least(expected_mean, threshold, dispersion=1.0):
"""
Calculates probability of getting 'threshold' OR MORE events.
Used for: DefCons (CBIT), Recoveries.
"""
if expected_mean <= 0:
return 0.0
if dispersion <= 1.0:
# Use existing Poisson logic if dispersion is low
return 1 - poisson_cdf(threshold - 1, expected_mean)
p = 1 / dispersion
n = (expected_mean * p) / (1 - p)
# Probability of X >= threshold is (1 - CDF(threshold - 1))
return 1 - nbinom.cdf(threshold - 1, n, p)
def calculate_expected_conceded_points(lambd):
"""
Calculates the expected fantasy points from goals conceded based on a
-1 point penalty for every 2 goals.
"""
total_expected_points = 0
max_goals_to_check = 10
for k in range(max_goals_to_check + 1):
prob_k = poisson_pmf(k=k, lambd=lambd)
points_for_k_goals = -(k // 2)
total_expected_points += prob_k * points_for_k_goals
return total_expected_points
def poisson_cdf(k, lambd):
"""Calculates the Poisson Cumulative Distribution Function P(X<=k)."""
if k < 0:
return 0.0
if lambd < 1e-9: # Treat very small lambda as zero for stability
return 1.0 if k >= 0 else 0.0
return sum(poisson_pmf(i, lambd) for i in range(math.floor(k) + 1))
def apply_team_skepticism(df, skepticism_factors):
"""
Applies a skepticism multiplier to a player's base points based on their team.
"""
if not skepticism_factors:
return df
for team_id, multiplier in skepticism_factors.items():
players_on_team = df[df["team"] == team_id].index
df.loc[players_on_team, "base_pts"] *= multiplier
return df
def calculate_single_match_points(
player,
match_row,
xMins_in_match,
points_config,
player_penalty_shares,
is_gk=False,
is_def=False,
is_mid=False,
is_fwd=False,
mins_probs=None,
):
"""
Calculates points for a single match given the xMins and match projections.
Includes full logic for CBIT, CBITR, Penalty Saves, and dynamic BPS.
`mins_probs` is an optional (p_start, p_60) pair - the probability of any
appearance and of reaching 60 minutes - taken from Solio's minutes curve.
Where it is given, everything that FPL gates on 60 minutes is scored
against those probabilities instead of against a threshold on the mean.
That threshold is a step function applied to an expected value, which is
wrong wherever the expectation sits near the step. It paid a full
appearance point to anyone above 0.0 minutes - 100 players on the GW5
board had between 0 and 5 expected minutes and collected one each - and
paid a flat 1 across the whole 40-75 minute rotation band where the honest
answer runs from 1.08 to 1.33. Clean sheets were worse in kind: a defender
at 59.9 expected minutes lost his entire clean-sheet expectation and one
at 60.1 kept all of it.
With no probabilities supplied the old threshold behaviour is kept intact,
so a player Solio has no curve for scores exactly as before.
"""
if xMins_in_match <= 0:
return {"pts": 0.0, "xG": 0.0, "xA": 0.0, "CS": 0.0, "cbit": 0.0, "cbitr": 0.0}
scaling_factor = xMins_in_match / 90.0
# p_any / p_60 drive the appearance, clean-sheet and minutes-BPS terms.
# Falling back to the threshold reproduces the old numbers exactly.
if mins_probs is not None:
p_any, p_60 = float(mins_probs[0]), float(mins_probs[1])
else:
p_any = 1.0 if xMins_in_match > 0 else 0.0
p_60 = 1.0 if xMins_in_match >= 60 else 0.0
player_team_num = player["team"]
player_pos = player["element_type"]
# 1. Identify Home/Away and get Opponent Stats
if player_team_num == match_row["home_team_num"]:
team_proj_goals = match_row["mc_home_goals_mean"]
team_conc_goals = match_row["mc_away_goals_mean"]
team_proj_assists = match_row["mc_home_assists_xa_mean"]
team_proj_cbit = match_row["mc_home_CBIT_mean"]
team_proj_cbitr = match_row["mc_home_CBITR_mean"]
team_proj_saves = match_row["mc_home_keeper_saves_mean"]
team_proj_yc = match_row["mc_home_yc_mean"]
team_proj_rc = match_row["mc_home_rc_mean"]
cs_odds = match_row["home_clean_sheet_odds"]
else:
team_proj_goals = match_row["mc_away_goals_mean"]
team_conc_goals = match_row["mc_home_goals_mean"]
team_proj_assists = match_row["mc_away_assists_xa_mean"]
team_proj_cbit = match_row["mc_away_CBIT_mean"]
team_proj_cbitr = match_row["mc_away_CBITR_mean"]
team_proj_saves = match_row["mc_away_keeper_saves_mean"]
team_proj_yc = match_row["mc_away_yc_mean"]
team_proj_rc = match_row["mc_away_rc_mean"]
cs_odds = match_row["away_clean_sheet_odds"]
# 2. Player Share Calculations
# Goals players can be credited with: the team's projection less own goals.
player_goals = team_proj_goals * (1.0 - OWN_GOAL_RATE)
# Penalties are their own pot. A team is awarded them in proportion to how
# much it is projected to score, they go to its takers by pen_share (closed
# per team, weighted by who is on the pitch), and they convert at the
# league rate. Open-play goals are what is left, shared on npxG - so a
# taker's penalties are counted once. Rates come from penalty_model.json
# via points_config; without it the old constant per-position points apply.
pen_model = points_config.get("penalty_model")
proj_pens_taken = 0.0
proj_pen_goals = 0.0
if pen_model and "pen_share" in player.index:
team_pens = (pen_model["pens_per_team_match"] * team_proj_goals
/ pen_model["goals_per_team_match"])
team_pen_goals = team_pens * pen_model["conversion"]
proj_pens_taken = player["pen_share"] * team_pens
proj_pen_goals = proj_pens_taken * pen_model["conversion"]
open_play_goals = max(player_goals - team_pen_goals, 0.0)
proj_goals = player["xG_share"] * open_play_goals + proj_pen_goals
else:
proj_goals = player["xG_share"] * player_goals
proj_assists = player["xA_share"] * team_proj_assists
proj_cbit = player["xCBIT_share"] * team_proj_cbit
proj_cbitr = player["xCBITR_share"] * team_proj_cbitr
proj_saves = 0
proj_pen_saves = 0
if is_gk:
proj_saves = (player["baseline_xSaves_p90"] + team_proj_saves) / 2
proj_pen_saves = player["baseline_pksave_p90"]
# --- GOALS & ASSISTS ---
pts_goals = (
sum(
poisson_pmf(k, proj_goals) * k * points_config["goal"][player_pos]
for k in range(9)
)
* scaling_factor
)
pts_assists = (
sum(
poisson_pmf(k, proj_assists) * k * points_config["assist"] for k in range(9)
)
* scaling_factor
)
# --- CLEAN SHEET & CONCEDED ---
# FPL pays a clean sheet only from 60 minutes, so the expectation is the
# clean-sheet odds weighted by the chance he actually gets there.
pts_cs = cs_odds * points_config["clean_sheet"][player_pos] * p_60
pts_conc = (
calculate_expected_conceded_points(team_conc_goals) * scaling_factor
if (is_gk or is_def) and team_conc_goals is not None
else 0.0
)
# --- CARDS ---
pts_yc = (player["YC_share"] * team_proj_yc * -1) * scaling_factor
pts_rc = (player["RC_share"] * team_proj_rc * -3) * scaling_factor
# --- SAVES & PENALTY SAVES (GK) ---
pts_saves = 0.0
pts_pen_save = 0.0
if is_gk:
expected_saves_pts_unscaled = sum(
neg_binom_probability_of_value(proj_saves, k, dispersion=1.5)
* ((k // 3) * points_config["saves_per_3"])
for k in range(21)
)
pts_saves = expected_saves_pts_unscaled * scaling_factor
expected_pen_saved_pts_unscaled = sum(
poisson_pmf(k, proj_pen_saves) * (k * 5) for k in range(3)
)
pts_pen_save = expected_pen_saved_pts_unscaled * scaling_factor
# --- CBIT & CBITR ---
pts_cbit = (
(
neg_binom_probability_at_least(proj_cbit, 10, dispersion=3.2)
* 2
* scaling_factor
)
if is_def
else 0.0
)
pts_cbitr = 0.0
if is_mid:
pts_cbitr = (
neg_binom_probability_at_least(proj_cbitr, 12, dispersion=2.8)
* 2
* scaling_factor
)
elif is_fwd:
pts_cbitr = (
neg_binom_probability_at_least(proj_cbitr, 12, dispersion=1.7)
* 2
* scaling_factor
)
# --- PENALTY POINTS (Taker) ---
# With the penalty model, scored penalties are already inside proj_goals
# and earn goal points there; what is left is the -2 for each miss.
pts_penalty = 0.0
if pen_model and "pen_share" in player.index:
pts_penalty = -2.0 * proj_pens_taken * (1.0 - pen_model["conversion"]) * scaling_factor
elif player_penalty_shares and player["id"] in player_penalty_shares:
pen_share = player_penalty_shares[player["id"]]
base_pen_pts = points_config["penalty_points_per_position"].get(player_pos, 0)
pts_penalty = (base_pen_pts * pen_share) * scaling_factor
# --- APPEARANCE ---
# 1 point for appearing at all, a second for reaching 60:
# E = 1*P(0 < mins < 60) + 2*P(mins >= 60) = p_any + p_60
pts_app = p_any + p_60
# --- BONUS POINTS ---
bps_floor = player["baseline_bps_floor_p90"] * scaling_factor
bps_mins = 3 * p_any + 3 * p_60
scaled_goals = proj_goals * scaling_factor
scaled_assists = proj_assists * scaling_factor
scaled_saves = proj_saves * scaling_factor if is_gk else 0
scaled_pen_saves = proj_pen_saves * scaling_factor if is_gk else 0
scaled_yc = player["YC_share"] * team_proj_yc * scaling_factor
scaled_rc = player["RC_share"] * team_proj_rc * scaling_factor
bps_goals = scaled_goals * (24 if is_fwd else (18 if is_mid else 12))
bps_assists = scaled_assists * 9
bps_cs = cs_odds * 12 * p_60 if (is_gk or is_def) else 0
bps_saves = scaled_saves * 2
bps_pen_saves = scaled_pen_saves * 15
bps_cards = (scaled_yc * -3) + (scaled_rc * -9)
# Missed penalty: -6 BPS. Zero without the penalty model.
bps_cards += -6.0 * proj_pens_taken * (1.0 - pen_model["conversion"]) * scaling_factor if pen_model and "pen_share" in player.index else 0.0
total_projected_bps = (
bps_floor
+ bps_mins
+ bps_goals
+ bps_assists
+ bps_cs
+ bps_saves
+ bps_pen_saves
+ bps_cards
)
# With a bonus model, bonus is awarded per gameweek in calculate_all_points
# (it compares each player's BPS with his position's average across the
# whole gameweek, which a single match cannot see). This match contributes
# its projected BPS; see apply_bonus.
if points_config.get("bonus_model"):
pts_bonus = 0.0
else:
pts_bonus = total_projected_bps / 29.4 if not is_gk else 0.0
# --- FINAL SUM ---
total_pts = (
pts_goals
+ pts_assists
+ pts_cs
+ pts_conc
+ pts_yc
+ pts_rc
+ pts_saves
+ pts_pen_save
+ pts_cbit
+ pts_cbitr
+ pts_penalty
+ pts_app
+ pts_bonus
)
return {
# Where the points came from, for diagnostics; nothing reads it for
# scoring.
"breakdown": {
"app": pts_app, "goals": pts_goals, "assists": pts_assists,
"cs": pts_cs, "conceded": pts_conc, "cards": pts_yc + pts_rc,
"saves": pts_saves + pts_pen_save, "defcon": pts_cbit + pts_cbitr,
"penalty": pts_penalty, "bonus": pts_bonus, "bps": total_projected_bps,
},
"pts": total_pts,
"xG": proj_goals * scaling_factor,
"xA": proj_assists * scaling_factor,
"CS": cs_odds * p_60,
"cbit": proj_cbit * scaling_factor,
"cbitr": proj_cbitr * scaling_factor,
}
def calculate_all_points(
player_df_base,
match_df,
player_penalty_shares,
MINS_SCALING_BONUS,
pos_map,
teams_dict_1,
teams_dict,
points_config,
effective_xmins_overrides,
MINS_THRESHOLD,
RAMP_UP_PERIOD,
decay_rates,
ramp_up_rates,
user_player_status_overrides,
team_skepticism,
effective_availability_multipliers,
effective_mins_probs=None,
share_context=None,
):
RAMP_UP_PERIOD = 3
# Filled on a full run with each gameweek's squad contributions, so a
# later single-player run (share_context passed in) can close its
# allocation against the full squad. See closed_shares.
recorded_share_context = {"contrib": {}, "denom": {}, "bonus_ref": {}}
bonus_model = points_config.get("bonus_model")
# {player_id: {gw: [p_start, p_60]}} from Solio's minutes curve, via
# xmins_pipeline. Absent for any player it has no curve for, and absent
# entirely for callers that do not pass it - both fall back to the old
# 60-minute threshold inside calculate_single_match_points.
effective_mins_probs = effective_mins_probs or {}
player_df = player_df_base.copy()
final_df_output = pd.DataFrame(
{
"Pos": player_df["element_type"].map(pos_map),
"ID": player_df["id"],
"Name": player_df["web_name"],
"BV": player_df["now_cost"],
"SV": player_df["now_cost"],
"Team": player_df["Team"],
}
)
continuous_xMins_progression = player_df["baseline_xMins"].copy()
has_baseline_xmins_override = getattr(player_df, "attrs", {}).get(
"has_baseline_xmins_override", False
)
all_baseline_overrides = getattr(player_df, "attrs", {}).get(
"all_baseline_overrides", {}
)
unique_gws = sorted(match_df["GW"].unique())
match_projections_col = {index: {} for index in player_df.index}
for gw_idx, gw in enumerate(unique_gws):
if has_baseline_xmins_override and gw == 1:
for index, player in player_df.iterrows():
player_id = player["id"]
if (
player_id in all_baseline_overrides
and "baseline_xMins" in all_baseline_overrides[player_id]
):
continuous_xMins_progression.loc[index] = all_baseline_overrides[
player_id
]["baseline_xMins"]
gw_calc_df = pd.DataFrame(index=player_df.index)
gw_calc_df["team"] = player_df["team"]
gw_calc_df["id"] = player_df["id"]
gw_calc_df["web_name"] = player_df["web_name"]
gw_calc_df["player_name"] = player_df["name"]
gw_calc_df["xG_share"] = player_df["xG_share"]
gw_calc_df["xA_share"] = player_df["xA_share"]
gw_calc_df["baseline_xMins"] = player_df["baseline_xMins"]
gw_calc_df["baseline_bps_floor_p90"] = player_df["baseline_bps_floor_p90"]
gw_calc_df["base_pts"] = 0.0
# VECTORIZED XMINS CALCULATION
player_ids_array = player_df["id"].values
n_players = len(player_ids_array)
status_list = [
user_player_status_overrides.get(pid, {"status": "default"})["status"]
for pid in player_ids_array
]
weeks_out_list = [
user_player_status_overrides.get(pid, {}).get("weeks_out", 0)
for pid in player_ids_array
]
status_array = np.array(status_list, dtype=object)
weeks_out_array = np.array(weeks_out_list)
is_not_starter = status_array == "not_a_starter"
is_suspended = status_array == "suspended"
is_injured = status_array == "injured"
is_default = ~(is_not_starter | is_suspended | is_injured)
baseline_mins_array = player_df["baseline_xMins"].values
prev_continuous_xmins_array = continuous_xMins_progression.values
calculated_xmins_array = np.zeros(n_players, dtype=float)
next_continuous_xmins_array = np.zeros(n_players, dtype=float)
first_gw = min(unique_gws)
is_first_gw = gw == first_gw
is_available_first_gw = ~(is_not_starter | is_suspended | is_injured)
# CASE 1: First GW + Available
if is_first_gw:
mask_first_available = is_available_first_gw
calculated_xmins_array[mask_first_available] = baseline_mins_array[
mask_first_available
]
calculated_xmins_array[is_not_starter] = 0
# CASE 3: Suspended
mask_suspended_during = is_suspended & (gw <= weeks_out_array)
mask_suspended_return = is_suspended & (gw == weeks_out_array + 1)
mask_suspended_after = is_suspended & (gw > weeks_out_array + 1)
calculated_xmins_array[mask_suspended_during] = 0
calculated_xmins_array[mask_suspended_return] = baseline_mins_array[
mask_suspended_return
]
decay_rate_susp = decay_rates.get("suspended", decay_rates.get("default", 0.99))
ramp_rate_susp = ramp_up_rates.get("suspended", ramp_up_rates.get("default", 0))
mask_susp_decay = mask_suspended_after & (
prev_continuous_xmins_array >= MINS_THRESHOLD
)
mask_susp_ramp = mask_suspended_after & (
prev_continuous_xmins_array < MINS_THRESHOLD
)
calculated_xmins_array[mask_susp_decay] = (
prev_continuous_xmins_array[mask_susp_decay] * decay_rate_susp
)
calculated_xmins_array[mask_susp_ramp] = np.minimum(
prev_continuous_xmins_array[mask_susp_ramp] + ramp_rate_susp, 90
)
# CASE 4: Injured
mask_injured_out = is_injured & (gw <= weeks_out_array)
calculated_xmins_array[mask_injured_out] = 0
mask_injured_recovering = is_injured & (gw > weeks_out_array)
weeks_since_injury_array = np.maximum(0, gw - weeks_out_array)
mask_ramp_phase = mask_injured_recovering & (
weeks_since_injury_array <= RAMP_UP_PERIOD
)
calculated_xmins_array[mask_ramp_phase] = (
baseline_mins_array[mask_ramp_phase] / RAMP_UP_PERIOD
) * weeks_since_injury_array[mask_ramp_phase]
mask_post_ramp = mask_injured_recovering & (
weeks_since_injury_array > RAMP_UP_PERIOD
)
decay_rate_default = decay_rates.get("default", 0.99)
ramp_rate_default = ramp_up_rates.get(
"default", ramp_up_rates.get("injured", 0)
)
mask_post_decay = mask_post_ramp & (
prev_continuous_xmins_array >= MINS_THRESHOLD
)
mask_post_ramp_up = mask_post_ramp & (
prev_continuous_xmins_array < MINS_THRESHOLD
)
calculated_xmins_array[mask_post_decay] = (
prev_continuous_xmins_array[mask_post_decay] * decay_rate_default
)
calculated_xmins_array[mask_post_ramp_up] = np.minimum(
prev_continuous_xmins_array[mask_post_ramp_up] + ramp_rate_default, 90
)
# CASE 5: Default/healthy
mask_default_calc = is_default & ~(is_first_gw & is_available_first_gw)
element_type_array = player_df["element_type"].values
is_gk = element_type_array == 1
mask_gk_default = mask_default_calc & is_gk
calculated_xmins_array[mask_gk_default] = prev_continuous_xmins_array[
mask_gk_default
]
mask_outfield_default = mask_default_calc & (~is_gk)
mask_outf_decay = mask_outfield_default & (
prev_continuous_xmins_array >= MINS_THRESHOLD
)
calculated_xmins_array[mask_outf_decay] = (
prev_continuous_xmins_array[mask_outf_decay] * decay_rate_default
)
mask_outf_ramp = (
mask_outfield_default
& (prev_continuous_xmins_array < MINS_THRESHOLD)
& (baseline_mins_array > 0)
)
calculated_xmins_array[mask_outf_ramp] = np.minimum(
prev_continuous_xmins_array[mask_outf_ramp] + ramp_rate_default, 90
)
# Sub-threshold with no baseline to ramp towards. This branch used to
# set nothing, which left the zero the array was initialised with - so
# a fringe player Solio had on 21 minutes at GW10 read 0 from GW11,
# once the chain started carrying overrides. Decay him from where he
# was instead. A player with no override and no baseline starts the
# chain at 0 and decays 0 to 0, so nothing changes for him.
mask_outf_hold = (
mask_outfield_default
& (prev_continuous_xmins_array < MINS_THRESHOLD)
& (baseline_mins_array <= 0)
)
calculated_xmins_array[mask_outf_hold] = (
prev_continuous_xmins_array[mask_outf_hold] * decay_rate_default
)
calculated_xmins_array = np.clip(calculated_xmins_array, 0, 90)
next_continuous_xmins_array = calculated_xmins_array.copy()
# APPLY OVERRIDES AND AVAILABILITY
xMins_for_current_gw_display = calculated_xmins_array.copy()
for idx in range(n_players):
player_id = player_ids_array[idx]
availability_mult = effective_availability_multipliers.get(
player_id, {}
).get(gw, 1.0)
xMins_for_current_gw_display[idx] *= availability_mult
if (
player_id in effective_xmins_overrides
and gw in effective_xmins_overrides[player_id]
):
override = effective_xmins_overrides[player_id][gw]
xMins_for_current_gw_display[idx] = override
# Carry the override into the chain, not just the display.
# Without this the chain kept running from baseline_xMins
# underneath the overrides, and the first gameweek past them
# jumped back onto it: Haaland went 83 at GW10 (Solio) to 71
# at GW11 (his own baseline of 75, decayed six times), Enzo
# went 76 -> 81, and Gibbs-White - whose baseline is 0 - went
# 83 -> 0. Seeding from the override makes the next gameweek
# continue from the last number we actually believed.
next_continuous_xmins_array[idx] = override
xMins_for_current_gw_display = pd.Series(
xMins_for_current_gw_display, index=player_df.index
)
next_gw_continuous_xMins = pd.Series(
next_continuous_xmins_array, index=player_df.index
)
gw_calc_df[f"{gw}_xMins"] = xMins_for_current_gw_display
# STREAMLINED MATCH SCORING LOOP
gw_matches = match_df[match_df["GW"] == gw]
gw_shares, gw_share_ctx = closed_shares(
player_df, gw_matches, gw_calc_df[f"{gw}_xMins"], gw, share_context
)
if gw_share_ctx is not None and share_context is None:
recorded_share_context["contrib"][gw] = gw_share_ctx["contrib"]
recorded_share_context["denom"][gw] = gw_share_ctx["denom"]
bonus_rows = []
for index, player in player_df.iterrows():
if gw_shares is not None:
player = player.copy()
for col in SHARE_STATS:
player[col] = gw_shares.at[index, col]
player_team_num = player["team"]
my_matches = gw_matches[
(gw_matches["home_team_num"] == player_team_num)
| (gw_matches["away_team_num"] == player_team_num)
]
if my_matches.empty:
gw_calc_df.loc[index, "base_pts"] = 0
gw_calc_df.loc[index, f"{gw}_xMins"] = 0
gw_calc_df.loc[index, "gw_xG"] = 0.0
gw_calc_df.loc[index, "gw_xA"] = 0.0
gw_calc_df.loc[index, "gw_CS"] = 0.0
gw_calc_df.loc[index, "gw_cbit"] = 0.0
gw_calc_df.loc[index, "gw_cbitr"] = 0.0
continue
base_gw_mins = gw_calc_df.loc[index, f"{gw}_xMins"]
mins_per_match = (
base_gw_mins * 0.97
if len(my_matches) > 1 and base_gw_mins > 35
else base_gw_mins
)
# The stored probabilities describe the gameweek, not one fixture.
# They were combined across a gameweek's matches as 1 - prod(1-p),
# so split them back out the same way rather than applying the
# gameweek figure to each match and counting it twice.
gw_probs = effective_mins_probs.get(player["id"], {}).get(gw)
match_probs = None
if gw_probs:
n = len(my_matches)
match_probs = tuple(
p if n == 1 else 1 - (1 - min(max(float(p), 0.0), 1.0)) ** (1.0 / n)
for p in gw_probs[:2]
)
total_gw_pts = 0
total_gw_xg = 0
total_gw_xa = 0
total_gw_cs = 0
total_gw_cbit = 0
total_gw_cbitr = 0
for _, match_row in my_matches.iterrows():
stats = calculate_single_match_points(
player=player,
match_row=match_row,
xMins_in_match=mins_per_match,
mins_probs=match_probs,
points_config=points_config,
player_penalty_shares=player_penalty_shares,
is_gk=(player["element_type"] == 1),
is_def=(player["element_type"] == 2),
is_mid=(player["element_type"] == 3),
is_fwd=(player["element_type"] == 4),
)
total_gw_pts += stats["pts"]
total_gw_xg += stats["xG"]
total_gw_xa += stats["xA"]
total_gw_cs += stats["CS"]
total_gw_cbit += stats["cbit"]
total_gw_cbitr += stats["cbitr"]
is_home = player_team_num == match_row["home_team_num"]
opp_num = (
match_row["away_team_num"]
if is_home
else match_row["home_team_num"]
)
match_id = (
f"{match_row['home_team_num']}_vs_{match_row['away_team_num']}"
)
if bonus_model and "breakdown" in stats:
bonus_rows.append((index, match_id, int(player["element_type"]),
stats["breakdown"]["bps"], mins_per_match))
match_projections_col[index][match_id] = {
"opponent_team_id": int(opp_num),
"is_home": bool(is_home),
"default_gw": int(gw),
"Pts": round(stats["pts"], 3),
"xMins": round(mins_per_match, 1),
"xG": round(stats["xG"], 3),
"xA": round(stats["xA"], 3),
"CS": round(stats["CS"], 3),
}
gw_calc_df.loc[index, "base_pts"] = total_gw_pts
gw_calc_df.loc[index, "gw_xG"] = total_gw_xg
gw_calc_df.loc[index, "gw_xA"] = total_gw_xa
gw_calc_df.loc[index, "gw_CS"] = total_gw_cs
gw_calc_df.loc[index, "gw_cbit"] = total_gw_cbit
gw_calc_df.loc[index, "gw_cbitr"] = total_gw_cbitr
if bonus_model and bonus_rows:
# A single-player run cannot see its position's gameweek average,
# so it reuses the full run's.
if share_context is not None and gw in share_context.get("bonus_ref", {}):
reference = share_context["bonus_ref"][gw]
else:
reference = bonus_reference(bonus_rows)
recorded_share_context["bonus_ref"][gw] = reference
for (index, match_id), bonus in apply_bonus(bonus_rows, bonus_model, reference).items():
gw_calc_df.loc[index, "base_pts"] += bonus
entry = match_projections_col[index].get(match_id)
if entry is not None:
entry["Pts"] = round(entry["Pts"] + bonus, 3)
gw_calc_df = apply_team_skepticism(gw_calc_df, team_skepticism)
gw_calc_df["total_pts"] = gw_calc_df["base_pts"]
final_df_output[f"{gw}_xMins"] = round(gw_calc_df[f"{gw}_xMins"], 0)
final_df_output[f"{gw}_Pts"] = round(gw_calc_df["total_pts"], 2)
final_df_output[f"{gw}_xG"] = round(gw_calc_df["gw_xG"], 2)
final_df_output[f"{gw}_xA"] = round(gw_calc_df["gw_xA"], 2)
final_df_output[f"{gw}_CS"] = gw_calc_df["gw_CS"]
final_df_output[f"{gw}_cbit"] = gw_calc_df["gw_cbit"]
final_df_output[f"{gw}_cbitr"] = gw_calc_df["gw_cbitr"]
continuous_xMins_progression = next_gw_continuous_xMins.copy()
final_df_output["Total Points"] = final_df_output.filter(like="_Pts").sum(axis=1)
final_df_output["Average Points"] = round(
(final_df_output.filter(like="_Pts").sum(axis=1)) / len(unique_gws), 2
)
final_df_output["match_projections"] = pd.Series(match_projections_col)
if share_context is None and recorded_share_context["denom"]:
final_df_output.attrs["share_context"] = recorded_share_context
return final_df_output