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package casino
import (
"strings"
"sync"
)
type baccaratProbabilities struct {
player, banker, tie, dragon, panda, six float64
}
var baccaratEdgeCache sync.Map // deck count -> baccaratProbabilities
func baccaratHouseEdge(cfg TableConfig, bet string) HouseEdge {
c := cfg.Baccarat.Normalize()
spot := strings.Fields(bet)
if len(spot) == 0 {
return unknownEdge("unrecognized baccarat target")
}
p := baccaratFreshProbabilities(c.Decks)
var e HouseEdge
switch spot[0] {
case "player":
e = edge(p.banker - p.player)
case "banker":
loss := p.player - c.BankerPayout*p.banker
if c.Variant == BaccaratSuper6 {
loss += .5 * p.six
}
if c.Variant == BaccaratEZ {
loss += p.dragon
}
e = edge(loss)
case "tie":
e = edge(1 - (1+c.TiePayout)*p.tie)
case "player_pair", "banker_pair":
e = edge(1 - 12*float64(4*c.Decks-1)/float64(52*c.Decks-1))
case "dragon_7":
e = edge(1 - 41*p.dragon)
case "panda_8":
e = edge(1 - 26*p.panda)
case "super_6":
e = edge(1 - 13*p.six)
default:
return unknownEdge("unrecognized baccarat target")
}
e.Note = "fresh shoe; before fractional-credit rounding"
return e
}
// Enumerate value sequences WITHOUT replacement from the configured shoe.
// Tens/J/Q/K coalesce into value zero; rank-pair probability is separately
// exact by symmetry. At most 10^6 branches, cached by deck count. Uses the
// same banker tableau as playTableau; no sampled or generic casino rates.
func baccaratFreshProbabilities(decks int) baccaratProbabilities {
if v, ok := baccaratEdgeCache.Load(decks); ok {
return v.(baccaratProbabilities)
}
var out baccaratProbabilities
counts := [10]int{}
for i := range counts {
counts[i] = 4 * decks
}
counts[0] = 16 * decks
var cards [6]int
var deal func(int, float64)
finish := func(pt, bt, pn, bn int, prob float64) {
switch {
case pt > bt:
out.player += prob
if pn == 3 && pt == 8 {
out.panda += prob
}
case bt > pt:
out.banker += prob
if bn == 3 && bt == 7 {
out.dragon += prob
}
if bt == 6 {
out.six += prob
}
default:
out.tie += prob
}
}
deal = func(n int, prob float64) {
if n >= 4 {
pt, bt := (cards[0]+cards[1])%10, (cards[2]+cards[3])%10
if pt >= 8 || bt >= 8 {
finish(pt, bt, 2, 2, prob)
return
}
playerDraw := pt <= 5
if playerDraw && n == 4 { // draw Player's third below
} else {
third, pn := -1, 2
if playerDraw {
third = cards[4]
pt = (pt + third) % 10
pn = 3
}
bankerDraw := (third < 0 && bt <= 5) || (third >= 0 && bankerDraws(bt, third))
if !bankerDraw {
finish(pt, bt, pn, 2, prob)
return
}
needed := 5
if playerDraw {
needed = 6
}
if n == needed {
finish(pt, (bt+cards[n-1])%10, pn, 3, prob)
return
}
}
}
remaining := float64(52*decks - n)
for value, count := range counts {
if count == 0 {
continue
}
counts[value]--
cards[n] = value
deal(n+1, prob*float64(count)/remaining)
counts[value]++
}
}
deal(0, 1)
baccaratEdgeCache.Store(decks, out)
return out
}
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