EucherHands.py

from random import *

def rank(x):
    return x%6
def colour(x):
    return (x/12)
def suit(x):
    return (x/6)

def jack(x):
    return (rank(x) == 2)
def sameSuit(x,y):
    return suit(x) == suit(y)
def sameColour(x,y):
    return colour(x) == colour(y)

def s1(H):
    jacks = [0,0]
    non = [0,0,0,0]
    colours = [0,0]
    for h in H:
        if jack(h):
            jacks[colour(h)]+=1
        else:
            non[suit(h)]+=1
        colours[colour(h)]+=1
    if set(jacks) == set([0,2]) and set(non) == set([0,3]) and set(colours) == set([0,5]):
        return True
    return False

def s2(H,D):
    if s1(H):
        return False
    for h in H:
        # Can we replace h with a card from D and get s1?
        partialHand = H.difference(set([h]))
        for d in D:
            hand = partialHand.union(set([d]))
            if s1(hand):
                return True
    return False

def s3(H):
    jacks = 0
    for h in H:
        if jack(h):
            jacks += 1
    if jacks == 4:
        return True
    return False

repeats = 1000000
for z in range(10):
    s1Count = 0
    s2Count = 0
    s3Count = 0
    for j in range(repeats):
        D = set(range(24))

        h = []
        for i in range(4):
            h.append(set(sample(D, 5)))
            D.difference_update(h[-1])

        got1 = False
        got2 = False
        got3 = False
        #All hands tested per deal
        #for hand in h:
        #One hand tested per deal
        for hand in h[:1]:
            got1 = got1 or s1(hand)
            got2 = got2 or s2(hand, D)
            got3 = got3 or s3(hand)
        if got1:
            s1Count += 1
        if got2:
            s2Count += 1
        if got3:
            s3Count += 1

    print s1Count*100.0/repeats, s2Count*100.0/repeats, s3Count*100.0/repeats