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228 lines (201 loc) · 6.23 KB
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import numpy as np
import math
from enum import Enum
import re
class Vul(Enum):
NONE = 0
NS = 1
EW = 2
ALL = 3
def calculate_bridge_score(contract: str, vulnerable: bool, tricks: int) -> int:
"""
Calculate the score for a bridge contract result.
Args:
contract (str): Contract in the format "<level><suit><doubles>"
e.g., "4H", "3NTX", "5DX"
vulnerable (bool): True if vulnerable, False otherwise
tricks (int): Number of tricks made (>= level) or undertricks (<= -1)
Returns:
int: The score for the contract
"""
if not (contract and vulnerable is not None and isinstance(tricks, int)):
assert False, "Invalid input format. Expected format: '<contract> <vulnerability> <tricks made/undertricks>'"
# Parse contract
# Support for doubled (X) and redoubled (XX) contracts
m = re.match(r"(\d+)(NT|[CDHS])(X{0,2})", contract.upper())
if not m:
assert False, "Invalid contract format: {}".format(contract)
level = int(m.group(1))
suit = m.group(2)
dbl = m.group(3)
# Determine multiplier
if dbl == 'X':
multiplier = 2
elif dbl == 'XX':
multiplier = 4
else:
multiplier = 1
# Parse tricks made (overtricks or undertricks)
assert tricks >= level or tricks <= -1, \
"Invalid tricks for contract {}: {}".format(contract, tricks)
# Contract made (tricks_taken is total tricks)
if tricks >= level:
# Base score
base_score = 0
if suit in ['C', 'D']: # Minor suits
base_score = level * 20
elif suit in ['H', 'S']: # Major suits
base_score = level * 30
elif suit == 'NT': # No Trump
base_score = level * 30 + 10
base_score *= multiplier
# Game bonus
if base_score >= 100:
game_bonus = 500 if vulnerable else 300
else:
game_bonus = 50
# Doubled/redoubled insult bonus
insult_bonus = 0
if multiplier == 2:
insult_bonus = 50
elif multiplier == 4:
insult_bonus = 100
# Slam bonus
slam_bonus = 0
if level == 6: # Small slam
slam_bonus = 750 if vulnerable else 500
elif level == 7: # Grand slam
slam_bonus = 1500 if vulnerable else 1000
# Overtrick score
overtrick_value = 0
if multiplier == 2:
overtrick_value = 200 if vulnerable else 100
elif multiplier == 4:
overtrick_value = 400 if vulnerable else 200
elif suit in ['C', 'D']:
overtrick_value = 20
elif suit in ['H', 'S', 'NT']:
overtrick_value = 30
# Calculate overtricks
overtricks = tricks - level
assert overtricks >= 0, "Logic error: overtricks should be >= 0 for made contracts"
total_score = base_score + game_bonus + slam_bonus + overtrick_value * overtricks + insult_bonus
return total_score
# Contract failed (negative means undertricks)
else:
undertricks = abs(tricks)
penalty = 0
if multiplier == 1:
# Not doubled
penalty = undertricks * (100 if vulnerable else 50)
else:
# Doubled
if not vulnerable:
if undertricks == 1:
penalty = 100
elif undertricks == 2:
penalty = 300
else: # 3 or more
penalty = 500 + (undertricks - 3) * 300
else:
if undertricks == 1:
penalty = 200
elif undertricks == 2:
penalty = 500
else: # 3 or more
penalty = 800 + (undertricks - 3) * 300
if multiplier == 4:
penalty *= 2
return -penalty
def calculate_imp(a: int, b: int) -> int:
"""
Calculate the IMPs (International Match Points) between two scores.
Args:
a (int): Score of team A
b (int): Score of team B
Returns:
int: The IMPs difference
"""
diff = abs(a - b)
imp = 0
if diff < 20:
imp = 0
elif 20 <= diff <= 40:
imp = 1
elif 50 <= diff <= 80:
imp = 2
elif 90 <= diff <= 120:
imp = 3
elif 130 <= diff <= 160:
imp = 4
elif 170 <= diff <= 210:
imp = 5
elif 220 <= diff <= 260:
imp = 6
elif 270 <= diff <= 310:
imp = 7
elif 320 <= diff <= 360:
imp = 8
elif 370 <= diff <= 420:
imp = 9
elif 430 <= diff <= 490:
imp = 10
elif 500 <= diff <= 590:
imp = 11
elif 600 <= diff <= 740:
imp = 12
elif 750 <= diff <= 890:
imp = 13
elif 900 <= diff <= 1090:
imp = 14
elif 1100 <= diff <= 1290:
imp = 15
elif 1300 <= diff <= 1490:
imp = 16
elif 1500 <= diff <= 1740:
imp = 17
elif 1750 <= diff <= 1990:
imp = 18
elif 2000 <= diff <= 2240:
imp = 19
elif 2250 <= diff <= 2490:
imp = 20
elif 2500 <= diff <= 2990:
imp = 21
elif 3000 <= diff <= 3490:
imp = 22
elif 3500 <= diff <= 3990:
imp = 23
else: # 4000+
imp = 24
return int(imp * np.sign(a - b))
def calculate_vp(a: int, b: int, num_boards: int) -> tuple[float, float]:
trophy = abs(a - b)
tau = (1 + math.sqrt(5)) / 2 - 1 # Golden ratio minus 1
trophy = 3 * trophy / (15 * math.sqrt(num_boards))
trophy = min(10, 10 * ( tau ** trophy / tau ** 3))
if a > b:
return 10 + trophy, 10 - trophy
else:
return 10 - trophy, 10 + trophy
def calculate_vulnerability(board_number: int) -> Vul:
board = ((board_number - 1) % 16) + 1
vulnerability_map = {
1: Vul.NONE,
2: Vul.NS,
3: Vul.EW,
4: Vul.ALL,
5: Vul.NS,
6: Vul.EW,
7: Vul.ALL,
8: Vul.NONE,
9: Vul.EW,
10: Vul.ALL,
11: Vul.NONE,
12: Vul.NS,
13: Vul.ALL,
14: Vul.NONE,
15: Vul.NS,
16: Vul.EW
}
return vulnerability_map[board]