Option BJPlayer::getOption(const BJHand & hand, int upCard, bool doubleDown,
bool split, bool surrender) {
PlayerHand & testHand = playerHands[findHand(hand)];
double value = testHand.valueStand[false][upCard - 1];
Option option = BJ_STAND;
if (value < testHand.valueHit[false][upCard - 1]) {
value = testHand.valueHit[false][upCard - 1];
option = BJ_HIT;
}
if (doubleDown) {
if (value < testHand.valueDoubleDown[false][upCard - 1]) {
value = testHand.valueDoubleDown[false][upCard - 1];
option = BJ_DOUBLE_DOWN;
}
}
if (split) {
int pairCard = 1;
while (!hand.getCards(pairCard)) {
pairCard++;
}
if (value < valueSplit[pairCard - 1][upCard - 1]) {
value = valueSplit[pairCard - 1][upCard - 1];
option = BJ_SPLIT;
}
}
if (surrender) {
if (value < -0.5) {
value = -0.5;
option = BJ_SURRENDER;
}
}
return option;
}
void BJPlayer::correctStandBlackjack() {
if (shoe.getTotalCards(Card::Ace) && shoe.getTotalCards(Card::Ten)) {
currentHand.reset();
currentHand.deal(Card::Ace);
currentHand.deal(Card::Ten);
PlayerHand & hand = playerHands[findHand(currentHand)];
shoe.reset(currentHand);
if (shoe.getCards(Card::Ace)) {
shoe.deal(Card::Ace);
hand.valueStand[false][0] = (double)3/2
*((double)1 - shoe.getProbability(10));
shoe.undeal(Card::Ace);
}
for (int upCard = Card::Two; upCard < Card::Ten; ++upCard) {
if (shoe.getCards(upCard)) {
hand.valueStand[false][upCard - 1] = (double)3/2;
}
}
if (shoe.getCards(Card::Ten)) {
shoe.deal(Card::Ten);
hand.valueStand[false][9] = (double)3/2
*((double)1 - shoe.getProbability(1));
shoe.undeal(Card::Ten);
}
}
}
void ArmContourFinder::update() {
//To run every frame
for (int i = 0; i < polylines.size(); ++i)
{
handFound[getLabel(i)] = findHand(i);
}
updateHands();
}
void BJPlayer::linkHands() {
for (int i = 0; i < numHands; i++) {
PlayerHand & hand = playerHands[i];
for (int card = 1; card <= 10; card++) {
if (!hand.hitHand[card - 1]
&& hand.cards[card-1] < shoe.getCards(card)) {
currentHand.reset(hand.cards);
currentHand.deal(card);
if (record(currentHand)) {
hand.hitHand[card - 1] = findHand(currentHand);
}
}
}
}
}
void BJPlayer::computeSplit(BJRules & rules, BJStrategy & strategy) {
for (int pairCard = 1; pairCard <= 10; pairCard++) {
if (resplit[pairCard - 1] >= 2 && shoe.getTotalCards(pairCard) >= 2) {
// Compute maximum number of split hands.
int maxSplitHands = resplit[pairCard - 1];
if (shoe.getTotalCards(pairCard) < maxSplitHands) {
maxSplitHands = shoe.getTotalCards(pairCard);
}
// Compute probability of splitting exactly 2, 3, and 4 hands.
double pSplit[5][10];
shoe.reset();
shoe.deal(pairCard);
shoe.deal(pairCard);
for (int upCard = Card::Ace; upCard <= Card::Ten; ++upCard) {
if (shoe.getCards(upCard)) {
shoe.deal(upCard);
double n = shoe.getCards(),
p = shoe.getCards(pairCard);
if (maxSplitHands > 2) {
pSplit[2][upCard - 1] = (n - p)/n*(n - 1 - p)/(n - 1);
if (maxSplitHands > 3) {
pSplit[3][upCard - 1] = pSplit[2][upCard - 1]*2
*p/(n - 2)*(n - 2 - p)/(n - 3);
pSplit[4][upCard - 1] = (double)1
- pSplit[2][upCard - 1]
- pSplit[3][upCard - 1];
} else {
pSplit[3][upCard - 1] = (double)1
- pSplit[2][upCard - 1];
pSplit[4][upCard - 1] = 0;
}
} else {
pSplit[2][upCard - 1] = 1;
pSplit[3][upCard - 1] = pSplit[4][upCard - 1] = 0;
}
// We only lose our initial wager if the dealer has blackjack.
if (upCard == 1) {
valueSplit[pairCard - 1][upCard - 1] = shoe.
getProbability(10);
} else if (upCard == 10) {
valueSplit[pairCard - 1][upCard - 1] = shoe.
getProbability(1);
} else {
valueSplit[pairCard - 1][upCard - 1] = 0;
}
valueSplit[pairCard - 1][upCard - 1] *=
pSplit[2][upCard - 1] + pSplit[3][upCard - 1]*2
+ pSplit[4][upCard - 1]*3;
shoe.undeal(upCard);
}
}
// For each possible number of split hands, re-compute expected values with the
// appropriate number of pair cards removed.
for (int splitHands = 2; splitHands <= maxSplitHands;
splitHands++) {
linkHandCounts(true, pairCard, splitHands);
computeStand(true, pairCard, splitHands);
if (pairCard != 1) {
computeDoubleDown(true, pairCard, splitHands);
computeHit(rules, strategy, true, pairCard, splitHands);
}
currentHand.reset();
currentHand.deal(pairCard);
// Remove split pair cards for weighting expected values of possible hands.
int i = 0, j;
shoe.reset();
for (int split = 0; split < splitHands; ++split) {
shoe.deal(pairCard);
i = playerHands[i].hitHand[pairCard - 1];
}
for (int upCard = Card::Ace; upCard <= Card::Ten; ++upCard) {
if (shoe.getCards(upCard)) {
shoe.deal(upCard);
double valueUpCard = 0,
pNoPair = (double)1 - shoe.
getProbability(pairCard);
// Evaluate each possible two-card split hand.
for (int card = 1; card <= 10; card++) {
if (shoe.getCards(card)) {
currentHand.deal(card);
PlayerHand & hand = playerHands[
playerHands[i].hitHand[card - 1]];
double value, testValue;
if (pairCard == 1) {
value = hand.valueStand[true][upCard - 1];
} else {
bool doubleDown = rules.
getDoubleAfterSplit(currentHand);
switch (strategy.getOption(currentHand,
upCard, doubleDown, false, false)){
// Again, use the playing option that maximizes expected value for the
// non-split hand.
case BJ_MAX_VALUE :
j = findHand(currentHand);
testValue = playerHands[j].
valueStand[false][upCard - 1];
value = hand.
valueStand[true][upCard - 1];
if (testValue < playerHands[j].
valueHit[false][upCard - 1]) {
testValue = playerHands[j].
valueHit[false][upCard - 1];
value = hand.
valueHit[true][upCard - 1];
}
if (doubleDown) {
if (testValue < playerHands[j].
valueDoubleDown[false]
[upCard - 1]) {
value = hand.
valueDoubleDown[true]
[upCard - 1];
}
}
break;
case BJ_STAND :
value = hand.
valueStand[true][upCard - 1];
break;
case BJ_HIT :
value = hand.
valueHit[true][upCard - 1];
break;
case BJ_DOUBLE_DOWN :
value = hand.
valueDoubleDown[true]
[upCard - 1];
break;
default :
value = 0;
}
}
// If further resplitting is allowed, condition on NOT drawing an additional
// pair.
double p = shoe.getProbability(card);
if (splitHands < maxSplitHands) {
p /= pNoPair;
}
if (card != pairCard
|| splitHands == maxSplitHands) {
valueUpCard += value*p;
}
currentHand.undeal(card);
}
}
valueSplit[pairCard - 1][upCard - 1] += valueUpCard
*pSplit[splitHands][upCard - 1]*splitHands;
shoe.undeal(upCard);
}
}
}
}
}
}
void BJPlayer::computeHitCount(int count, bool soft, BJRules & rules,
BJStrategy & strategy, bool split, int pairCard,
int splitHands) {
for (int i = playerHandCount[count][soft]; i;
i = playerHands[i].nextHand) {
PlayerHand & hand = playerHands[i];
currentHand.reset(hand.cards);
shoe.reset(currentHand);
for (int hands = 1; hands < splitHands; ++hands) {
currentHand.undeal(pairCard);
}
for (int upCard = Card::Ace; upCard <= Card::Ten; ++upCard) {
if (shoe.getCards(upCard)) {
shoe.deal(upCard);
hand.valueHit[split][upCard - 1] = 0;
for (int card = 1; card <= 10; card++) {
if (shoe.getCards(card)) {
currentHand.deal(card);
int j = hand.hitHand[card - 1];
double value, testValue;
if (currentHand.getCount() <= 21) {
PlayerHand & hitHand = playerHands[j];
bool doubleDown;
if (split) {
doubleDown = rules.
getDoubleAfterSplit(currentHand);
} else {
doubleDown = rules.getDoubleDown(currentHand);
}
switch (strategy.getOption(currentHand, upCard,
doubleDown, false, false)) {
// To be consistent with a "fixed" playing strategy, use the option maximizing
// expected value for the non-split hand.
case BJ_MAX_VALUE :
j = findHand(currentHand);
testValue = playerHands[j].
valueStand[false][upCard - 1];
value = hitHand.valueStand[split][upCard - 1];
if (testValue < playerHands[j].
valueHit[false][upCard - 1]) {
testValue = playerHands[j].
valueHit[false][upCard - 1];
value = hitHand.
valueHit[split][upCard - 1];
}
if (doubleDown) {
if (testValue < playerHands[j].
valueDoubleDown[false][upCard - 1]) {
value = hitHand.
valueDoubleDown[split][upCard - 1];
}
}
break;
case BJ_STAND :
value = hitHand.valueStand[split][upCard - 1];
break;
case BJ_HIT :
value = hitHand.valueHit[split][upCard - 1];
break;
case BJ_DOUBLE_DOWN :
value = hitHand.
valueDoubleDown[split][upCard - 1];
break;
default :
value = 0;
}
} else {
value = -1;
}
currentHand.undeal(card);
hand.valueHit[split][upCard - 1] += value
*shoe.getProbability(card);
}
}
shoe.undeal(upCard);
}
}
}
}
double BJPlayer::getValueDoubleDown(const BJHand & hand, int upCard) const {
return playerHands[findHand(hand)].valueDoubleDown[false][upCard - 1];
}
void BJPlayer::computeOverall(BJRules & rules, BJStrategy & strategy) {
overallValue = 0;
bool surrender = rules.getLateSurrender();
shoe.reset();
for (int upCard = Card::Ace; upCard <= Card::Ten; ++upCard) {
overallValues[upCard - 1] = 0;
if (shoe.getCards(upCard)) {
shoe.deal(upCard);
for (int card1 = Card::Ace; card1 <= Card::Ten; ++card1) {
for (int card2 = Card::Ace; card2 <= Card::Ten; ++card2) {
if (shoe.getCards(card1) && shoe.getCards(card2) &&
(card1 != card2 || shoe.getCards(card1) >= 2)) {
currentHand.reset();
double p = shoe.getProbability(card1);
shoe.deal(card1); currentHand.deal(card1);
p *= shoe.getProbability(card2);
shoe.deal(card2); currentHand.deal(card2);
PlayerHand & hand = playerHands[findHand(currentHand)];
double value;
BJHand testHand(hand.cards);
bool doubleDown = rules.getDoubleDown(testHand),
split = (card1 == card2
&& resplit[card1 - 1] >= 2);
double valueSurrender;
switch (strategy.getOption(testHand, upCard,
doubleDown, split, surrender)) {
case BJ_MAX_VALUE :
value = hand.valueStand[false][upCard - 1];
if (value < hand.valueHit[false][upCard - 1]) {
value = hand.valueHit[false][upCard - 1];
}
if (doubleDown) {
if (value < hand.
valueDoubleDown[false][upCard - 1]) {
value = hand.
valueDoubleDown[false][upCard - 1];
}
}
if (split) {
if (value < valueSplit[card1 - 1]
[upCard - 1]) {
value = valueSplit[card1 - 1][upCard - 1];
}
}
if (surrender) {
valueSurrender = computeSurrender(upCard);
if (value < valueSurrender) {
value = valueSurrender;
}
}
break;
case BJ_STAND :
value = hand.valueStand[false][upCard - 1];
break;
case BJ_HIT :
value = hand.valueHit[false][upCard - 1];
break;
case BJ_DOUBLE_DOWN :
value = hand.valueDoubleDown[false][upCard - 1];
break;
case BJ_SPLIT :
value = valueSplit[card1 - 1][upCard - 1];
break;
case BJ_SURRENDER :
value = computeSurrender(upCard);
break;
}
overallValues[upCard - 1] += value*p;
shoe.undeal(card2);
shoe.undeal(card1);
}
}
}
shoe.undeal(upCard);
overallValue += overallValues[upCard - 1]
*shoe.getProbability(upCard);
}
}
}