所有牌的组合数：658008 出现四条的组合数:360,概率 :0.05% 出现三条的组合数:25200,概率 :3.83% 出现牛十的组合数:42432,概率 :6.45% 出现牛九或牛八的组合数:87296,概率 :13.27% 出现牛一到牛七的组合数:306112,概率 :46.52% 出现没有牛的组合数:196608,概率 :29.88%
# encoding=utf-8
__author__ = 'kevinlu1010@qq.com'
import os
import cPickle
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from copy import copy
from collections import Counter
import itertools
'''
计算斗牛游戏的概率
'''
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class Poker():
'''
一张牌
'''
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def __init__(self, num, type):
self.num = num # 牌数
self.type = type # 花色
-
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class GamePoker():
'''
一手牌，即5张Poker
'''
COMMON_NIU = 1 # 普通的牛，即牛一-牛七
NO_NIU = 0 # 没有牛
EIGHT_NINE_NIU = 2 # 牛九或牛八
TEN_NIU = 3 # 牛十
THREE_SAME = 4 # 三条
FOUR_SAME = 5 # 四条
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def __init__(self, pokers):
assert len(pokers) == 5
self.pokers = pokers
self.num_pokers = [p.num for p in self.pokers]
# self.weight = None # 牌的权重，权重大的牌胜
# self.money_weight = None # 如果该牌赢，赢钱的权重
self.result = self.sumary()
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def is_niu(self):
'''
是否有牛
:return:
'''
# if self.is_three_same():
# return 0
for three in itertools.combinations(self.num_pokers, 3):
if sum(three) % 10 == 0:
left = copy(self.num_pokers)
for item in three:
left.remove(item)
point = sum(left) % 10
return 10 if point == 0 else point
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return 0
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def is_three_same(self):
'''
是否3条
:return:
'''
# if self.is_four_same():
# return 0
count = Counter([p.num for p in self.pokers])
for num in count:
if count[num] == 3:
return num
return 0
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def is_four_same(self):
'''
是否4条
:return:
'''
count = Counter([p.num for p in self.pokers])
for num in count:
if count[num] == 4:
return num
return 0
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def sumary(self):
'''
计算牌
'''
if self.is_four_same():
return GamePoker.FOUR_SAME
if self.is_three_same():
return GamePoker.THREE_SAME
niu_point = self.is_niu()
if niu_point in (8, 9):
return GamePoker.EIGHT_NINE_NIU
elif niu_point == 10:
return GamePoker.TEN_NIU
elif niu_point > 0:
return GamePoker.COMMON_NIU
else:
return GamePoker.NO_NIU
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def get_all_pokers():
'''
生成所有的Poker，共四十个
:return:
'''
pokers = []
for i in range(1, 11):
for j in ('A', 'B', 'C', 'D'):
pokers.append(Poker(i, j))
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return pokers
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def get_all_game_poker(is_new=0):
'''
生成所有game_poker
:param pokers:
:return:
'''
pokers = get_all_pokers()
game_pokers = []
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if not is_new and os.path.exists('game_pokers'):
with open('game_pokers', 'r') as f:
return cPickle.loads(f.read())
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for pokers in itertools.combinations(pokers, 5): # 5代表五张牌
game_pokers.append(GamePoker(pokers))
with open('game_pokers', 'w') as f:
f.write(cPickle.dumps(game_pokers))
return game_pokers
-
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def print_rate(game_pokers):
total_num = float(len(game_pokers))
four_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.FOUR_SAME])
three_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.THREE_SAME])
ten_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.TEN_NIU])
eight_nine_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.EIGHT_NINE_NIU])
common_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.COMMON_NIU])
no_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.NO_NIU])
print '所有牌的组合数：%d' % total_num
print '出现四条的组合数:%d,概率 :%.2f%%' % (four_num, four_num * 100 / total_num)
print '出现三条的组合数:%d,概率 :%.2f%%' % (three_num, three_num * 100 / total_num)
print '出现牛十的组合数:%d,概率 :%.2f%%' % (ten_num, ten_num * 100 / total_num)
print '出现牛九或牛八的组合数:%d,概率 :%.2f%%' % (eight_nine_num, eight_nine_num * 100 / total_num)
print '出现牛一到牛七的组合数:%d,概率 :%.2f%%' % (common_num, common_num * 100 / total_num)
print '出现没有牛的组合数:%d,概率 :%.2f%%' % (no_num, no_num * 100 / total_num)
-
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def main():
game_pokers = get_all_game_poker() # 658008种
print_rate(game_pokers)
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main()
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