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; prints number of winners
    M = 0
    for x in range(0,100):
        R = random.random()
        if R < 18./38:
            M = M + 1 
    print ('number of players who won: ', M)  

        
def roulette(): #one player starts with $500 and bets $10 100 times
    M = 500 #starting bankroll
    L=[M]
    for x in range(0,100):
        R = random.random()
        if R < 18./38:
            M = M + 10 
        else:
            M = M - 10
        L.append(M)
    print ('money retained by player: ', M)
    pyplot.plot(L)
    pyplot.title('Money left to player vs. number of rolls')
    pyplot.xlabel('Number of rolls')
    pyplot.ylabel('Money left')
    pyplot.show()
   
        
def roulettehundred(): # 100 players bet $10 100 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(0,1001,10):# the lists are formed
        L1.append(n-500)
        L2.append(0)
    for x in range(0,100):#this loop simulates 100 playeres
        M = 500 #initial money for each player
        for x in range(0,100):#this loop simulates 100 bets
            R = random.random()
            if R < 18./38:
                M = M + 10 
            else:
                M = M - 10
        L2[int(M/10)]=L2[int(M/10)]+1    
        print  (M - 500, end=' ') #winnings or losses of player
        win = win + (500-M)
    print ('')
    print ('casino wins', win)
    pyplot.bar(L1,L2,10)
    pyplot.title('Frequencies of gains or losses for players')
    pyplot.xlabel('Gains or losses')
    pyplot.ylabel('Frequency')
    pyplot.show()
    
def casino(): #one player bets $10 at a time until money is doubled or gone
    M = 500
    L=[M]
    while M < 1000 and M > 0:
        R = random.random()
        if R < 18./38:
            M = M + 10
            print (M)
            if M == 1000:
                print ("")
                print  ("you doubled your money")  
        else:
            M = M - 10
            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 rolls')
    pyplot.xlabel('Number of rolls')
    pyplot.ylabel('Money left')
    pyplot.show()
                
def bigcasino(): #100 players bet $10 at a time until money is doubled or gone
    L = 0
    for n in range(0,100):
        M = 500
        while M < 1000 and M > 0:
            R = random.random()
            if R < 18./38:
                M = M + 10
                if M == 1000:
                    print ("")
                    print  ("you doubled your money")  
            else:
                M = M - 10
                if M == 0:
                    print ("casino wins, ", end='')
                    L = L + 1
    print ("")
    print ("")
    print (L, "people lost all their money") 
    if 100 - L == 1:
        print (100-L,'person doubled his money')
    else:
        print (100-L, 'people doubled their money')

def roulettehundred2(): #1000 players bet 100 times, display money left, bar graph wins
    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(0,1001,10):
        L2.append(0)
        L3.append(n-500)
    for x in range(0,1000):
        M = 500
        for x in range(0,100):
            R = random.random()
            if R < 18./38:
                M = M + 10 
            else:
                M = M - 10
        L1.append(M)
        L2[int(M/10)]=L2[int(M/10)]+1
    L1.sort()
    print (L1)
    print (L2)
    for m in range(0,50):
        print (2*m, L2[2*m])
    pyplot.bar(L3,L2,10)
    pyplot.title('Wins or losses of 1000 players after 100 rolls')
    pyplot.ylabel('Frequency')
    pyplot.xlabel('Wins or losses')
    pyplot.show()