Created
May 25, 2018 19:47
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Blackjack game simulation
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import Decision.* | |
import org.jetbrains.kotlin.backend.common.pop | |
fun generateDeck(): List<Int> = (List(4) { 10 } + (2..9) + 11) * 4 | |
fun generateDealerDeck() = (generateDeck() * 6).shuffled() | |
private operator fun <E> List<E>.times(num: Int) = (1..num).flatMap { this } | |
fun List<Int>.trueCount(): Int = -sumBy(::cardValue) * 52 / size | |
fun cardValue(card: Int) = when (card) { | |
in 2..6 -> 1 | |
10, 11 -> -1 | |
else -> 0 | |
} | |
// http://www.instructables.com/id/Card-Counting-and-Ranging-Bet-Sizes/ | |
fun getBetSize(trueCount: Int, bankroll: Double): Double { | |
val bettingUnit = bankroll / 1000 | |
return (bettingUnit * (trueCount - 1)).coerceIn(25.0, 1000.0) | |
} | |
// https://www.blackjackapprenticeship.com/blackjack-strategy-charts/ | |
// Do not includes doubles and splits now | |
fun decide(hand: Hand, casinoCard: Int, firstTurn: Boolean): Decision = when { | |
firstTurn && hand.canSplit && hand.cards[0] == 11 -> SPLIT | |
firstTurn && hand.canSplit && hand.cards[0] == 9 && casinoCard !in listOf(7, 10, 11) -> SPLIT | |
firstTurn && hand.canSplit && hand.cards[0] == 8 -> SPLIT | |
firstTurn && hand.canSplit && hand.cards[0] == 7 && casinoCard <= 7 -> SPLIT | |
firstTurn && hand.canSplit && hand.cards[0] == 6 && casinoCard <= 6 -> SPLIT | |
firstTurn && hand.canSplit && hand.cards[0] == 4 && casinoCard in 5..6 -> SPLIT | |
firstTurn && hand.canSplit && hand.cards[0] in 2..3 && casinoCard <= 7 -> SPLIT | |
hand.unusedAces >= 1 && hand.points >= 19 -> STAND | |
hand.unusedAces >= 1 && hand.points == 18 && casinoCard < 9 -> STAND | |
hand.points > 16 -> STAND | |
hand.points > 12 && casinoCard < 4 -> STAND | |
hand.points > 11 && casinoCard in 4..6 -> STAND | |
hand.unusedAces >= 1 && casinoCard in 2..6 && hand.points >= 18 -> if (firstTurn) DOUBLE else STAND | |
hand.unusedAces >= 1 && casinoCard == 3 && hand.points >= 17 -> if (firstTurn) DOUBLE else HIT | |
hand.unusedAces >= 1 && casinoCard == 4 && hand.points >= 15 -> if (firstTurn) DOUBLE else HIT | |
hand.unusedAces >= 1 && casinoCard in 5..6 -> if (firstTurn) DOUBLE else HIT | |
hand.points == 11 -> if (firstTurn) DOUBLE else HIT | |
hand.points == 10 && casinoCard < 10 -> if (firstTurn) DOUBLE else HIT | |
hand.points == 9 && casinoCard in 3..6 -> if (firstTurn) DOUBLE else HIT | |
else -> HIT | |
} | |
class Hand private constructor(val cards: List<Int>) { | |
val points = cards.sum() | |
val unusedAces = cards.count { it == 11 } | |
val canSplit = cards.size == 2 && cards[0] == cards[1] | |
val blackjack get() = cards.size == 2 && points == 21 | |
operator fun plus(card: Int) = Hand.fromCards(cards + card) | |
companion object { | |
fun fromCards(cards: List<Int>): Hand { | |
var hand = Hand(cards) | |
while (hand.unusedAces >= 1 && hand.points > 21) { | |
hand = Hand(hand.cards - 11 + 1) | |
} | |
return hand | |
} | |
} | |
} | |
enum class Decision { STAND, DOUBLE, HIT, SPLIT, SURRENDER } | |
private fun simulate(): Double { | |
val cards = generateDealerDeck().toMutableList() | |
var bankroll = 100_000.0 | |
val shufflePoint = cards.size * 0.25 // Depends, but good estimation https://www.blackjackinfo.com/community/threads/how-often-does-the-dealer-shuffle.7459/ | |
while (cards.size > shufflePoint) { | |
val casinoCard = cards.pop() | |
fun playFrom(playerHand: Hand, bet: Double, firstTurn: Boolean): List<Pair<Double, Hand>> = | |
when (decide(playerHand, casinoCard, firstTurn)) { | |
STAND -> listOf(bet to playerHand) | |
DOUBLE -> playFrom(playerHand + cards.pop(), bet * 2, false) | |
HIT -> playFrom(playerHand + cards.pop(), bet, false) | |
SPLIT -> playerHand.cards.flatMap { | |
val newCards = listOf(it, cards.pop()) | |
val newHand = Hand.fromCards(newCards) | |
playFrom(newHand, bet, false) | |
} | |
SURRENDER -> emptyList() | |
} | |
val betsAndHands = playFrom( | |
playerHand = Hand.fromCards(cards.pop(2)), | |
bet = getBetSize(cards.trueCount(), bankroll), | |
firstTurn = true | |
) | |
var casinoHand = Hand.fromCards(listOf(casinoCard, cards.pop())) | |
while (casinoHand.points < 17) { | |
casinoHand += cards.pop() | |
} | |
for ((bet, playerHand) in betsAndHands) { | |
when { | |
playerHand.blackjack -> bankroll += bet * if (casinoHand.blackjack) 1.0 else 1.5 | |
playerHand.points > 21 -> bankroll -= bet | |
casinoHand.points > 21 -> bankroll += bet | |
casinoHand.points > playerHand.points -> bankroll -= bet | |
casinoHand.points < playerHand.points -> bankroll += bet | |
else -> bankroll -= bet | |
} | |
} | |
// Some other players wasting cards | |
cards.pop(6) | |
} | |
val differenceInBankroll = bankroll - 10_000.0 | |
// println("Result is $differenceInBankroll") | |
return differenceInBankroll | |
} | |
fun <T> MutableList<T>.pop(num: Int) = (1..num).map { pop() } | |
fun main(args: Array<String>) { | |
print((1..10000).map { simulate() }.average()) | |
} |
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