double CorrectPlayer::Stand(Hand player, int upcard, Shoe& shoe, int numBets)
{
if (player.Total() > 21)
{
double ev = -1.0 * numBets;
if (allBusted) ev += restEV_allBust;
else ev += 1.0*Dealer::ProbBust(upcard, shoe) + restEV_noAllBust;
return ev;
}
double ev = 1.0;
if (player.Total() < 17)
{
for (int i=17; i<=21; i++)
{
ev -= 2.0 * Dealer::ProbTotal(upcard, i, shoe);
}
}
else
{
double prob_dealer_win = 0.0;
for (int i=player.Total()+1; i<=21; i++)
{
prob_dealer_win += Dealer::ProbTotal(upcard, i, shoe);
}
double prob_tie = Dealer::ProbTotal(upcard, player.Total(), shoe);
ev -= prob_tie + 2.0*prob_dealer_win;
}
ev *= numBets;
if (allBusted) ev += numBusted * Dealer::ProbBust(upcard, shoe);
ev += restEV_noAllBust;
return ev;
}
double Dealer::ProbTotalBrute(Hand hand, int total, Shoe shoe, int depth)
{
// stop on soft >= 18
// stop on hard >= 17
if (hand.Total() >= 17 && !hand.Soft())
{
if (hand.Total() == total)
return 1.0;
else
return 0.0;
}
if (hand.Total() >= 18 && hand.Soft())
{
if (hand.Total() == total)
return 1.0;
else
return 0.0;
}
double total_prob = 0.0;
// only upcard dealt and it is A or 10
// if it is A, next card cannot be 10
// if it is 10, next card cannot be A
if (depth == 0 && (hand.Total() == 10 || hand.Total() == 11))
{
if (hand.Total() == 10)
{
for (int i=2; i<=10; i++)
{
double tmp = shoe[i]/(double)(shoe.Total()-shoe[1]);
if (tmp > 0.0)
{
shoe.DealCard(i);
total_prob += tmp*Dealer::ProbTotalBrute(hand+i, total, shoe, depth+1);
shoe.AddCard(i);
}
}
}
else
{
for (int i=1; i<=9; i++)
{
double tmp = shoe[i]/(double)(shoe.Total()-shoe[10]);
if (tmp > 0.0)
{
shoe.DealCard(i);
total_prob += tmp*Dealer::ProbTotalBrute(hand+i, total, shoe, depth+1);
shoe.AddCard(i);
}
}
}
return total_prob;
}
for (int i=1; i<=10; i++)
{
double tmp = shoe.CardProb(i);
if (tmp > 0.0)
{
shoe.DealCard(i);
total_prob += tmp*Dealer::ProbTotalBrute(hand+i, total, shoe, depth+1);
shoe.AddCard(i);
}
}
return total_prob;
}