总结
最后提及很有趣的一点。虽然 豹子 > 顺金，但是豹子出现的概率却略大于顺金；同样，金花 > 顺子，但是金花出现的概率要比顺子大。
附python3代码：
# -*- coding: utf-8 -*-
import random
import matplotlib.pyplot as plot
import numpy
color_book = {1: "♠", 2: "♥", 3: "♣", 4: "♦"}
num_book = {"J": 11, 11: "J", "Q": 12, 12: "Q", "K": 13, 13: "K", "A": 14, 14: "A"}
type_book = {100: "豹子", 101: "顺金", 102: "金花", 103: "顺子", 104: "对子",
14: "散A", 13: "散K", 12: "散Q", 11: "散J", 10: "散10", 9: "散9", 8: "散8", 7: "散7", 6: "散6", 5: "散5"}
lvl_book = [100, 101, 102, 103, 104, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5]
card_book = list()
'''单张牌'''
class Card:
def __init__(self, num, color = 1):
self.num = num
self.color = color
'''手牌'''
class Hand:
def __init__(self, cardList):
self.hand = sorted(cardList, key=lambda x: x.num, reverse=True)
def parseType(self) -> int:
#100. 豹子
if self.hand[0].num == self.hand[1].num and self.hand[0].num == self.hand[2].num:
return 100
# 金花 & 顺金
elif self.hand[0].color == self.hand[1].color and self.hand[0].color == self.hand[2].color:
# 101. 顺金
if (self.hand[2].num + 1 == self.hand[1].num and self.hand[1].num + 1 == self.hand[0].num \
or self.hand[2].num == 2 and self.hand[1].num == 3 and self.hand[0].num == 14):
# 因为 A 是以数字 14 存储的，因此 A23 顺要额外考虑
return 101
# 102. 金花
else:
return 102
# 103 顺子
# 因为上个 if 已经除去了顺金部分，因此只要是公差为1的等差数列则一定是顺子
elif self.hand[2].num + 1 == self.hand[1].num and self.hand[1].num + 1 == self.hand[0].num \
or self.hand[2].num == 2 and self.hand[1].num == 3 and self.hand[0].num == 14:
return 103
# 104. 对子, 对子要额外记录一下对子和单牌，以便比较大小
elif self.hand[2].num == self.hand[1].num or self.hand[1].num == self.hand[0].num:
if self.hand[2].num == self.hand[1].num:
self.pair, self.single = self.hand[2].num, self.hand[0].num
else:
self.pair, self.single = self.hand[0].num, self.hand[2].num
return 104
# 散牌
else:
return self.hand[0].num
'''初始化牌堆'''
def initCard():
# 1 表示 A
# 13 表示 K
for i in range(2, 15):
for j in range(1, 5):
card_book.append(Card(i, j))
'''打印手牌'''
def printHand(handCard: Hand):
for h in handCard.hand:
print(h.num, end='') if 1 < h.num <= 10 else print(num_book[h.num], end='')
print(color_book[h.color], end=' ')
print(type_book[handCard.parseType()])
'''比较辅助函数'''
def cmpCard(h1: Hand, h2: Hand):
for i in range(len(h1.hand)):
if h1.hand[i].num != h2.hand[i].num:
if h1.hand[i].num > h2.hand[i].num:
return 0
else:
return 2
return 1
'''比较手牌函数'''
def cmpHand(h1: Hand, h2: Hand):
lvl1 = h1.parseType()
lvl2 = h2.parseType()
#printHand(h1)
#printHand(h2)
# 先比较牌种
if lvl_book.index(lvl1) < lvl_book.index(lvl2):
return 0
elif lvl_book.index(lvl1) > lvl_book.index(lvl2):
return 2
# 对子，要先比对子
elif lvl1 == 104:
if h1.pair == h2.pair:
return cmpCard(Hand([Card(h1.single)]), Hand([Card(h2.single)]))
else:
return cmpCard(Hand([Card(h1.pair)]), Hand([Card(h2.pair)]))
# 其余情况，挨个比就行
else:
return cmpCard(h1, h2)
'''作图函数'''
def plotRects(x_list, y_list):
rects = plot.bar(range(len(y_list)), y_list, color=[numpy.random.random(3) for i in range(len(y_list))])
plot.ylabel("概率(%)")
plot.xticks([i for i in range(len(x_list))], x_list)
for rect in rects:
height = rect.get_height()
plot.text(rect.get_x() + rect.get_width() / 2, height, "{:.3f}%".format(height), ha='center', va='bottom')
plot.rcParams['font.sans-serif'] = ['Arial Unicode MS']
plot.rcParams['axes.unicode_minus'] = False
plot.show()
'''获得全部牌型的概率'''
def getPr(cap: int):
cnt = dict()
tot = int(cap)
for i in range(tot):
hand1 = Hand(random.sample(card_book, 3))
type = hand1.parseType()
cnt[hand1.parseType()] = 1 if type not in cnt else cnt[hand1.parseType()] + 1
cnt = dict(sorted(cnt.items(), key=lambda x: x[1]))
'''分组画图'''
sub1 = dict([(key, cnt[key]) for key in range(100, 105)])
sub2 = dict([(key, cnt[key]) for key in range(5, 15)])
name_list1 = [type_book[k] for k in sub1.keys()]
val_list1 = [v / tot * 100 for v in sub1.values()]
name_list2 = [type_book[k] for k in sub2.keys()]
val_list2 = [v / tot * 100 for v in sub2.values()]
plotRects(name_list1, val_list1)
plotRects(name_list2, val_list2)
'''获得全部牌型的胜率'''
def getWinning(cap: int):
result = {}
tot = int(cap)
for i in range(tot):
hand = random.sample(card_book, 6)
hand1 = Hand(hand[:3])
hand2 = Hand(hand[-3:])
type = hand1.parseType()
if type in result.keys():
# print(type, cmpHand(hand1, hand2))
result[type][cmpHand(hand1, hand2)] += 1
else:
result[type] = [0] * 3
result[type][cmpHand(hand1, hand2)] = 1
'''分组画图'''
sub1 = dict([(key, result[key]) for key in range(100, 105)])
sub2 = dict([(key, result[key]) for key in range(5, 15)])
name_list1 = [type_book[k] for k in sub1.keys()]
val_list1 = [v[0] / sum(v) * 100 for v in sub1.values()]
name_list2 = [type_book[k] for k in sub2.keys()]
val_list2 = [v[0] / sum(v) * 100 for v in sub2.values()]
plotRects(name_list1, val_list1)
plotRects(name_list2, val_list2)
if __name__ == '__main__':
initCard()
#getPr(1e7)
getWinning(1e7)
复制代码
