import random
from matplotlib import pyplot

def oneplay(): #one spin of the roulette
    R = random.random()
    if R < 18./38:
        print "player wins"
    else:
        print "casino wins"
        
def oneplayhundred(): #one spin of the roulette by 100 people
    M = 0
    for x in range(0,100):
        R = random.random()
        if R < 18./38:
            M = M + 1 
    print M  

        
def roulette(): #one player bets 100 times
    M = 50
    L=[M]
    for x in range(0,100):
        R = random.random()
        if R < 18./38:
            M = M + 1 
        else:
            M = M - 1
        L.append(M)
    print M
    pyplot.plot(L)
    pyplot.show()
   
        
def roulettehundred(): # 100 players bet 100 times
    win = 0 # win will be the final win for the casino
    L1=[] # the range of wins or losses for the casino
    L2=[] # keeps track how many times each result M happened
    for n in range(0,100):
        L1.append(n-50)
        L2.append(0)
    for x in range(0,100):
        M = 0
        for x in range(0,100):
            R = random.random()
            if R < 18./38:
                M = M + 1 
            else:
                M = M - 1
        L2[M+50]=L2[M+50]+1    
        print M,
        win = win - M
    print ""
    print win
    pyplot.bar(L1,L2)
    pyplot.show()
    
def casino(): #one player bets $1 at a time until money is doubled or gone
    M = 50
    L=[M]
    while M < 100 and M > 0:
        R = random.random()
        if R < 18./38:
            M = M + 1
            print M,
            if M == 100:
                print ""
                print  "you doubled your money"  
        else:
            M = M - 1
            print M,
            if M == 0:
                print ""
                print "casino wins; you lost all your money"
        L.append(M)
    pyplot.plot(L)
    pyplot.title('Money left to player vs. number of roles')
    pyplot.xlabel('Number of roles')
    pyplot.ylabel('Money left')
    pyplot.show()
                
def bigcasino(): #100 players bet $1 at a time until money is doubled or gone
    L = 0
    for n in range(0,100):
        M = 50
        while M < 100 and M > 0:
            R = random.random()
            if R < 18./38:
                M = M + 1
                if M == 100:
                    print ""
                    print  "you doubled your money"  
            else:
                M = M - 1
                if M == 0:
                    print "casino wins, ",
                    L = L + 1
    print ""
    print ""
    print L, 
    print "people lost all their money"
    print 100-L, 
    if 100 - L == 1:
        print "person doubled his money"
    else:
        print "people doubled their money"

def roulettehundred2(): #1000 players bet 100 times, display money left
    L1=[] #will keep track of amounts of money kept by players
    L2=[] #will count how many times each amount appeared
    L3=[]
    for n in range(0,100):
        L2.append(0)
        L3.append(n)
    for x in range(0,1000):
        M = 50
        for x in range(0,100):
            R = random.random()
            if R < 18./38:
                M = M + 1 
            else:
                M = M - 1
        L1.append(M)
        L2[M]=L2[M]+1
    L1.sort()
    print L1
    print L2
    for m in range(0,50):
        print 2*m, L2[2*m] 
    pyplot.bar(L3,L2)
    pyplot.title('Money retained by 1000 players after 100 roles')
    pyplot.ylabel('Frequency')
    pyplot.xlabel('Money retained')
    pyplot.show()