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Advanced Simulators for IPL Match Scenarios & Player Performances
Includes:
- Monte Carlo Ball-by-Ball Simulator (DLS-aware transition matrices)
- Bayesian Hierarchical Player Predictor
- Fantasy Points Calculator with ownership differential weighting
"""
import numpy as np
import math
import logging
from typing import Dict, List, Optional, Tuple
logger = logging.getLogger(__name__)
class ScenarioSimulator:
"""
Run Monte Carlo simulations over remaining balls to produce:
- Projected median score
- P90 ceiling
- Milestone probabilities (180+, all-out, etc.)
"""
def __init__(self):
# Baseline ball-outcome probabilities derived from IPL historical data
self.outcomes = ['dot', 'single', 'two', 'three', 'four', 'six', 'wicket']
self.base_probs = np.array([0.33, 0.30, 0.07, 0.02, 0.13, 0.07, 0.06])
# Powerplay adjustment (higher scoring)
self.pp_probs = np.array([0.28, 0.30, 0.06, 0.01, 0.18, 0.10, 0.07])
# Death overs adjustment (slog)
self.death_probs = np.array([0.25, 0.26, 0.05, 0.01, 0.17, 0.14, 0.07])
def _get_transition_probs(self, ball_num: int) -> np.ndarray:
"""Return context-sensitive transition probabilities."""
over = ball_num // 6
if over < 6:
return self.pp_probs
elif over >= 15:
return self.death_probs
return self.base_probs
def simulate_remaining_balls(
self, current_state: Dict, n_simulations: int = 5000
) -> Dict:
"""
Simulate remaining deliveries to forecast final scores and milestones.
Args:
current_state: Dict with 'balls_remaining', 'total_runs', 'total_wickets'
n_simulations: Number of MC samples
Returns:
Dict with projected_median_score, p90_score, and milestone probabilities
"""
balls_remaining = int(current_state.get('balls_remaining', 120))
current_runs = int(current_state.get('total_runs', 0))
current_wickets = int(current_state.get('total_wickets', 0))
balls_bowled = 120 - balls_remaining
simulated_scores = []
milestone_180_count = 0
milestone_200_count = 0
early_collapse_count = 0 # 3 wickets in powerplay
for _ in range(n_simulations):
sim_runs = current_runs
sim_wickets = current_wickets
sim_pp_wkts = 0
for b in range(balls_remaining):
if sim_wickets >= 10:
break
abs_ball = balls_bowled + b
probs = self._get_transition_probs(abs_ball)
event = np.random.choice(self.outcomes, p=probs)
if event == 'single':
sim_runs += 1
elif event == 'two':
sim_runs += 2
elif event == 'three':
sim_runs += 3
elif event == 'four':
sim_runs += 4
elif event == 'six':
sim_runs += 6
elif event == 'wicket':
sim_wickets += 1
if abs_ball < 36:
sim_pp_wkts += 1
simulated_scores.append(sim_runs)
if sim_runs >= 180:
milestone_180_count += 1
if sim_runs >= 200:
milestone_200_count += 1
if sim_pp_wkts >= 3:
early_collapse_count += 1
return {
'projected_median_score': float(np.median(simulated_scores)),
'projected_mean_score': float(np.mean(simulated_scores)),
'p10_score': float(np.percentile(simulated_scores, 10)),
'p90_score': float(np.percentile(simulated_scores, 90)),
'prob_180_plus': round(milestone_180_count / n_simulations, 3),
'prob_200_plus': round(milestone_200_count / n_simulations, 3),
'prob_early_collapse': round(early_collapse_count / n_simulations, 3),
}
class BayesianPlayerPredictor:
"""
Bayesian Hierarchical Model for predicting individual player performance.
Uses conjugate Gaussian-Gaussian priors for fast inference.
"""
def __init__(self):
# Global IPL season hyperparameters (prior)
self.global_bat_mu = 25.0 # avg expected runs
self.global_bat_sigma = 12.0
self.global_wkt_mu = 1.2 # avg expected wickets
self.global_wkt_sigma = 0.8
def predict_player_runs(
self,
player_history: List[float],
opp_strength: float = 1.0,
venue_factor: float = 1.0
) -> Dict:
"""
Posterior run distribution conditioned on history, opposition, and venue.
Args:
player_history: List of run scores from recent matches
opp_strength: Normalised (0.8=strong opp, 1.2=weak opp)
venue_factor: Venue batting average factor (>1 = batting friendly)
Returns:
Dict with expected_runs, lower/upper 95% CI
"""
if not player_history:
adj_mu = self.global_bat_mu * opp_strength * venue_factor
return {
'expected_runs': round(adj_mu, 1),
'confidence_interval': [max(0, adj_mu - 24), adj_mu + 24],
'samples': 0,
}
n = len(player_history)
sample_mean = float(np.mean(player_history))
known_variance = max(self.global_bat_sigma ** 2, float(np.var(player_history)) + 1e-6)
# Conjugate posterior update
prior_precision = 1.0 / (self.global_bat_sigma ** 2)
likelihood_precision = n / known_variance
post_precision = prior_precision + likelihood_precision
post_var = 1.0 / post_precision
post_mu = post_var * (
prior_precision * self.global_bat_mu + likelihood_precision * sample_mean
)
# Apply contextual modifiers
adj_mu = post_mu * opp_strength * venue_factor
ci_width = 1.96 * math.sqrt(post_var)
return {
'expected_runs': round(max(0.0, adj_mu), 1),
'confidence_interval': [
round(max(0.0, adj_mu - ci_width), 1),
round(adj_mu + ci_width, 1),
],
'posterior_std': round(math.sqrt(post_var), 2),
'samples': n,
}
def predict_player_wickets(
self,
player_history: List[float],
pitch_factor: float = 1.0
) -> Dict:
"""Posterior wicket distribution using Poisson approximation."""
if not player_history:
rate = self.global_wkt_mu * pitch_factor
else:
rate = float(np.mean(player_history)) * pitch_factor
# Poisson confidence interval
rate = max(0.01, rate)
lower = max(0.0, rate - 1.65 * math.sqrt(rate))
upper = rate + 1.65 * math.sqrt(rate)
return {
'expected_wickets': round(rate, 2),
'confidence_interval': [round(lower, 2), round(upper, 2)],
}
class FantasyEngine:
"""
Dream11-style Fantasy Points Calculator with Ownership differential weighting.
"""
# Dream11 standard scoring schema
BATTING_POINTS = {
'run': 1.0,
'boundary_bonus': 1.0,
'six_bonus': 2.0,
'half_century': 8.0,
'century': 16.0,
'duck': -2.0,
'sr_bonus_170': 6.0,
'sr_bonus_150': 4.0,
'sr_penalty_60': -2.0,
'sr_penalty_70': -1.0,
}
BOWLING_POINTS = {
'wicket': 25.0,
'wicket_bonus_4': 8.0,
'wicket_bonus_5': 16.0,
'maiden': 8.0,
'econ_bonus_4': 6.0,
'econ_bonus_5': 4.0,
'econ_penalty_10': -2.0,
'econ_penalty_11': -4.0,
}
FIELDING_POINTS = {
'catch': 8.0,
'stumping': 12.0,
'run_out': 6.0,
}
def calculate_expected_points(
self,
player_projection: Dict,
role: str = 'batsman',
ownership_pct: float = 0.5,
) -> Dict:
"""
Calculate expected fantasy points and differential value.
Args:
player_projection: Output from BayesianPlayerPredictor
role: 'batsman', 'bowler', 'allrounder', 'wicketkeeper'
ownership_pct: Fractional ownership (0.0 to 1.0)
Returns:
Dict with expected_points, differential_score, risk_reward_ratio
"""
exp_runs = player_projection.get('expected_runs', 0.0)
exp_wkts = player_projection.get('expected_wickets', 0.0)
# Base batting points
bat_pts = exp_runs * self.BATTING_POINTS['run']
if exp_runs >= 50:
bat_pts += self.BATTING_POINTS['half_century']
if exp_runs >= 100:
bat_pts += self.BATTING_POINTS['century']
# Base bowling points
bowl_pts = exp_wkts * self.BOWLING_POINTS['wicket']
# Fielding contribution approximation
field_pts = 5.0 if role == 'wicketkeeper' else 2.5
total_base = bat_pts + bowl_pts + field_pts
# Differential multiplier: low ownership → higher value due to differentiation
# Captaincy / VC multiplier also embedded here at 2x/1.5x for simplicity
ownership_mod = 1.0 + 0.5 * (1.0 - ownership_pct)
expected_points = total_base * ownership_mod
# Risk-reward: high ceiling, low ownership → high ratio
ceiling = player_projection.get('confidence_interval', [0, exp_runs * 1.5])[1]
risk_reward = (ceiling * ownership_mod) / max(1.0, expected_points)
return {
'expected_points': round(expected_points, 1),
'base_points': round(total_base, 1),
'differential_score': round(ownership_mod, 3),
'risk_reward_ratio': round(risk_reward, 2),
'captaincy_value': round(expected_points * 2, 1),
'vc_value': round(expected_points * 1.5, 1),
}
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