MTGAMonteCarlo

def meanOverRange(numTrials, inputRange, step = 1):

    for i in arange(0, inputRange, step):
        print("{:.0f}".format(i*100) + "%: " +
              "{:.0f}".format(meanTrial(numTrials, i)) + " gems, " +
              "{:.2f}".format(meanTrial2(numTrials, i)) + " packs")



def meanTrial(numTrials, inputVal):

    total = 0

    for _ in range(numTrials):
        total = total + MTGAReward(inputVal)

    return total/numTrials


def meanTrial2(numTrials, inputVal):

    total = 0

    for _ in range(numTrials):
        total = total + MTGARewardPacks(inputVal)

    return total/numTrials


def MTGAReward(winPercent):
    # Best of 3, 3 matches

    wins = 0

    matchWin = winPercent*winPercent + 2 * winPercent*winPercent * (1-winPercent)

    for _ in range(3):
        if(random.random() < matchWin):
            wins = wins + 1

    if(wins == 3):
        return 3000
    elif(wins == 2):
        return 1000
    else:
        return 0

##    # Best of 1, go until 7 wins or 3 losses
##
##    wins = 0
##    losses = 0
##
##    while(wins < 7 and losses < 3):
##        if(random.random() < winPercent):
##            wins = wins + 1
##        else:
##            losses = losses + 1
##
##    if(wins == 7):
##        return 2200
##    elif(wins == 6):
##        return 1800
##    elif(wins == 5):
##        return 1600
##    elif(wins == 4):
##        return 1400
##    elif(wins == 3):
##        return 1000
##    elif(wins == 2):
##        return 250
##    elif(wins == 1):
##        return 50
##    else:
##        return 0


def MTGARewardPacks(winPercent):
    # Best of 3, 3 matches

    wins = 0

    matchWin = winPercent*winPercent + 2 * winPercent*winPercent * (1-winPercent)

    for _ in range(3):
        if(random.random() < matchWin):
            wins = wins + 1

    if(wins == 3):
        return 6
    elif(wins == 2):
        return 4
    else:
        return 1

##    # Best of 1, go until 7 wins or 3 losses
##
##    wins = 0
##    losses = 0
##
##    while(wins < 7 and losses < 3):
##        if(random.random() < winPercent):
##            wins = wins + 1
##        else:
##            losses = losses + 1
##
##    if(wins == 7):
##        return 6
##    elif(wins == 6):
##        return 5
##    elif(wins == 5):
##        return 4
##    elif(wins == 4):
##        return 3
##    elif(wins == 3):
##        return 2
##    elif(wins == 2):
##        return 2
##    elif(wins == 1):
##        return 1
##    else:
##        return 1