Video Poker
Keith Vetter 2003-05-28 : here's a short little project that plays the video poker game of "Jacks or Better" (short except for the 700+ lines for the card images). You can bet between 1 and 5 quarter per game. If you go bust it will put up a message then give you some more money.
There's a hidden cheat shortcut but you'll have to read the code to find it (it's in there for debugging purposes of course).
Michael Jacobson 2003-06-12 : I liked this game a lot but I missed it on my PocketPC, so I just had to make a couple of changes to get it to fit on the tiny screen. I had a little problem sizing the cards and getting them to look right (this needs some work).
KPV 2016-04019 : I finally got around to implementing an algorithm to select the best cards to hold. This is based on [L1 ] and claims it gets 99.46% expected return. I also incorporated some of the changes suggested by Zipguy.
Zipguy 2012-08-18 : I've modified it a little bit in color, buttons and Help screen. Now it's about 1100 lines (mostly in the help screen). You can download it here [L2 ]
Jeff Smith 2019-05-03 : Below is an online demo using Cloudtk
##+###################################################################
#
# video poker.tcl -- Plays Jacks or Better video poker
# by Keith Vetter
# May 27, 2003 -- initial revision
# April 18, 2016 -- added optimal strategy, tweaked GUI
#
package require Tk
array set S {title "Video Poker" bg green4 fg white hold,0 "" hold,1 "HOLD" delay 20}
set S(cards) {}
foreach suit {s d c h} {
foreach pip {a k q j t 9 8 7 6 5 4 3 2} {
lappend S(cards) "$pip$suit"
}
}
set S(0) {"Royal Flush" 250 500 750 1000 4000} ;# Scoring info
set S(1) {"Straight Flush" 50 100 150 200 250}
set S(2) {"Four of a Kind" 25 50 75 100 125}
set S(3) {"Full House" 9 18 27 36 45}
set S(4) {"Flush" 6 12 18 24 30}
set S(5) {"Straight" 4 8 12 16 20}
set S(6) {"Three of a Kind" 3 6 9 12 15}
set S(7) {"Two Pairs" 2 4 6 8 10}
set S(8) {"Pair of Jacks or Better" 1 2 3 4 5}
set S(-1) {"" 0 0 0 0 0}
array set CARD {
state over credit 400 bet 0 win 0
hold,0 0 hold,1 0 hold,2 0 hold,3 0 hold,4 0
}
proc DoDisplay {} {
global S
button .b1
option add *font "[font actual [.b1 cget -font]] -weight bold"
destroy .b1
wm title . $S(title)
. config -bg $S(bg)
frame .top -relief raised -bd 2
frame .play -bg $S(bg)
frame .buttons -bg $S(bg) -padx 10
pack .top .play .buttons -side top -fill x
pack config .play -fill none -pady {10 0} -padx 3m
pack config .buttons -pady {0 10}
# Scoreboard
foreach row {0 1 2 3 4 5 6 7 8} {
foreach col {0 1 2 3 4 5} {
label .top.l${row}$col -text [lindex $::S($row) $col] -relief raised
grid .top.l${row}$col -row $row -column $col -sticky ew
}
}
grid columnconfigure .top 0 -weight 2
grid columnconfigure .top {1 2 3 4 5} -weight 1
# Playing cards
set iw [image width ::img::back]
foreach pos {0 1 2 3 4} { ;# Playing cards & hold labels
label .play.h$pos -textvariable LBL(hold,$pos) -bg $S(bg) -fg yellow
grid .play.h$pos -row 0 -column $pos -pady 4
label .play.c$pos -image ::img::back -width $iw \
-bg $S(bg) -activebackground $S(bg)
bind .play.c$pos <Button-1> [list CardClick $pos]
grid .play.c$pos -row 1 -column $pos
}
label .play.gameover -textvariable LBL(gameover) -bg $S(bg) -fg yellow
.play.gameover config -font "[font actual [.play.gameover cget -font]] -size 32"
grid .play.gameover -columnspan 5 -pady 5
# Buttons
frame .buttons.left -bg $S(bg)
label .buttons.left.txt -text "Credit\nBet\nWinnings\n" -justify r -bg $S(bg) -fg $S(fg)
label .buttons.left.val -textvariable LBL(val) -bg $S(bg) -fg $S(fg)
grid .buttons.left.txt .buttons.left.val
grid columnconfigure .buttons.left 3 -weight 1
button .buttons.deal -text Deal -command Deal -state disabled -width 5
button .buttons.optimal -text Best -command BestPlay -state disabled
button .buttons.bet1 -text "Bet 1" -command {Bet 1}
button .buttons.bet1x -text "Bet 1 Deal" -command {Bet -1}
button .buttons.betx -text "Bet Max" -command {Bet max}
button .buttons.help -text "Help" -command About
bind .buttons.deal <Button-2> Cheat
grid .buttons.left x .buttons.deal .buttons.betx -sticky ew -padx 2m
grid ^ x .buttons.optimal .buttons.bet1x -sticky ew -padx 2m
grid ^ x .buttons.help .buttons.bet1 -sticky ew -padx 2m
grid columnconfigure .buttons 1 -weight 1
bind all <Alt-c> {console show}
bind all <Control-w> exit
}
proc CardClick {who} { ;# Handle click on a card
if {$::CARD(state) != "draw"} return
set ::CARD(hold,$who) [expr {1 - $::CARD(hold,$who)}]
}
proc About {} {
set title "$::S(title)\nby Keith Vetter, May 2003"
set msg ""
append msg "How to play:\n"
append msg " 1. place your bet, up to a max of 5 coins\n"
append msg " 2. press \"Deal\"\n"
append msg " 3. click the cards you want to hold\n"
append msg " 4. press \"Draw\"\n"
append msg " 5. collect your winnings\n\n"
append msg "The \"Best\" button suggests the optimal cards to hold "
append msg "with an expected return of 99.46%."
tk_messageBox -message $title -detail $msg -title "About $::S(title)"
}
proc HighlightScoreBoard {ROW} {
set dbg [lindex [.top.l00 config -bg] 3] ;# Default background
foreach row {0 1 2 3 4 5 6 7 8} {
foreach col {0 1 2 3 4 5} {
set bg $dbg
if {$col > 0 && $col == $::CARD(bet)} {
set bg cyan
if {$row == $ROW} {set bg magenta}
} elseif {$row == $ROW} {set bg red }
.top.l${row}$col config -bg $bg
}
}
}
proc ShuffleCards {} {
set ::S(deck) [Shuffle $::S(cards)]
}
proc Shuffle {list} {
set len [llength $list]
while {$len} {
set n [expr {int($len*rand())}]
set tmp [lindex $list $n]
lset list $n [lindex $list [incr len -1]]
lset list $len $tmp
}
return $list
}
proc DealACard {} { ;# Returns top card of the deck
set ::S(deck) [lassign $::S(deck) card]
return $card
}
proc Bet {amt} {
global CARD
if {$CARD(bet) == 5} return ;# At max bet already
if {$CARD(bet) == 0} {set CARD(state) bet} ;# Change state
if {$amt eq "max"} { set amt [expr {5 - $CARD(bet)}] }
if {$amt > $CARD(credit)} {set amt $CARD(credit)}
incr CARD(bet) [expr {abs($amt)}]
incr CARD(credit) [expr {-abs($amt)}]
HighlightScoreBoard -1
if {$amt < 0 || $CARD(bet) == 5 || $CARD(credit) == 0} Deal ;# No more betting so deal
}
proc Deal {} {
global S CARD
.buttons.deal config -state disabled ;# Avoid double press
foreach pos {0 1 2 3 4} {
if {$CARD(state) == "draw" && $CARD(hold,$pos)} continue
set CARD(hand,$pos) [DealACard]
PlayCard $pos $CARD(hand,$pos)
}
if {$CARD(state) == "bet"} {
set CARD(state) "draw"
} elseif {$CARD(state) == "draw"} {
set CARD(state) "over"
}
ScoreHand
if {$CARD(state) != "over"} return
if {$CARD(win) > 0} {
set ::LBL(gameover) "You Win!"
} elseif {$CARD(credit) == 0} {
tk_messageBox -message "You are Busted!" -icon warning
set CARD(credit) 400
}
}
# update our display based on a variable trace
proc tracer {var1 var2 op} {
global CARD LBL S
foreach pos {0 1 2 3 4} { ;# "HOLD" labels
if {$CARD(state) == "bet"} {
set LBL(hold,$pos) ""
} elseif {$CARD(state) == "draw"} {
set LBL(hold,$pos) $S(hold,$CARD(hold,$pos))
}
}
set LBL(val) [Money $CARD(credit) $CARD(bet) $CARD(win)]
if {$var2 != "state"} return
if {$CARD(state) == "over"} {
set LBL(gameover) "Game Over"
.buttons.bet1 config -state normal
.buttons.bet1x config -state normal
.buttons.betx config -state normal
.buttons.deal config -state disabled
.buttons.optimal config -state disabled
foreach pos {0 1 2 3 4} {
set CARD(hold,$pos) 0
}
ShuffleCards
} elseif {$CARD(state) == "bet"} {
set LBL(gameover) ""
.buttons.bet1 config -state normal
.buttons.bet1x config -state normal
.buttons.betx config -state normal
.buttons.deal config -state normal -text Deal
.buttons.optimal config -state normal
foreach pos {0 1 2 3 4} {
.play.c$pos config -image ::img::back
}
} elseif {$CARD(state) == "draw"} {
.buttons.bet1 config -state disabled
.buttons.bet1x config -state disabled
.buttons.betx config -state disabled
.buttons.deal config -state normal -text Draw
.buttons.optimal config -state normal
}
}
proc Money {args} {
set str ""
foreach a $args {
append str [format "$%.2f" [expr {$a * .25}]] "\n"
}
regsub -all "\\.00" $str {} str
return $str
}
proc Cheat {} {
set ::LBL(gameover) [lrange $::S(deck) 0 4]
}
proc ScoreHand {} {
global S CARD
set score [ScoreHand2]
HighlightScoreBoard $score
if {$CARD(state) == "over"} {
set CARD(win) [lindex $S($score) $CARD(bet)]
incr CARD(credit) $CARD(win)
set CARD(bet) 0
}
}
proc ScoreHand2 {} {
set hand [set pips [set suits {}]]
foreach pos {0 1 2 3 4} {
foreach {pip suit} [split $::CARD(hand,$pos) ""] break
lappend pips [string map -nocase {t 10 j 11 q 12 k 13 a 14} $pip]
lappend suits $suit
}
set pips [lsort -integer $pips]
foreach {c0 c1 c2 c3 c4} $pips break
set straight [expr {$c0==$c1-1 && $c1==$c2-1 && $c2==$c3-1 && $c3==$c4-1}]
foreach {s0 s1 s2 s3 s4} [lsort $suits] break
set flush [expr {$s0 eq $s4}]
if {$straight == 1 && $flush && $c0 == 10} {return 0} ;# Royal flush
if {$straight == 1 && $flush} {return 1} ;# Straight flush
if {$c0 == $c3 || $c1 == $c4} {return 2} ;# Four of a kind
if {$c0 == $c1 && $c2 == $c4} {return 3} ;# Full house
if {$c0 == $c2 && $c3 == $c4} {return 3} ;# Full house
if {$flush} { return 4 }
if {$straight} { return 5 }
if {$c0 == $c2 || $c1 == $c3 || $c2 == $c4} { return 6} ;# 3 of a kind
if {$c0 == $c1 && $c2 == $c3} {return 7} ;# 2 pairs
if {$c0 == $c1 && $c3 == $c4} {return 7} ;# 2 pairs
if {$c1 == $c2 && $c3 == $c4} {return 7} ;# 2 pairs
if {$c0 == $c1 && $c0 >= 11} {return 8} ;# Jacks or better
if {$c1 == $c2 && $c1 >= 11} {return 8} ;# Jacks or better
if {$c2 == $c3 && $c2 >= 11} {return 8} ;# Jacks or better
if {$c3 == $c4 && $c3 >= 11} {return 8} ;# Jacks or better
return -1
}
proc PlayCard {pos card} {
foreach img [list ::img::back23 ::img::back13 ::img::$card] {
.play.c$pos config -image $img
update
after $::S(delay)
}
}
################################################################
# Optimal strategy
#
# Based off of http://wizardofodds.com/games/video-poker/strategy/jacks-or-better/9-6/simple/
# see also http://wizardofodds.com/games/video-poker/strategy/jacks-or-better/9-6/intermediate/
# and http://wizardofodds.com/games/video-poker/strategy/jacks-or-better/9-6/optimal/
#
proc BestPlay {} {
global CARD
if {$CARD(state) != "draw"} return
set hand {}
foreach pos {0 1 2 3 4} {
lassign [split $CARD(hand,$pos) ""] pip suit
set pip [string map -nocase {t 10 j 11 q 12 k 13 a 14} $pip]
lappend hand [list $pip $suit $pos]
}
set hand [lsort -integer -index 0 $hand]
set best [_BestPlay $hand]
foreach pos {0 1 2 3 4} { set CARD(hold,$pos) 0 }
foreach pos $best {
CardClick [lindex $hand $pos 2]
}
set ::LBL(gameover) [lindex $::type 1]
return $best
}
proc _BestPlay {hand} {
# ASSERT: hand is sort low to high
set pips [set suits {}]
unset -nocomplain C
unset -nocomplain SS
foreach pos {0 1 2 3 4} {
lappend pips [set C($pos) [lindex $hand $pos 0]]
lappend suits [set SS($pos) [lindex $hand $pos 1]]
}
set flush [expr {$SS(0) eq $SS(1) && $SS(1) eq $SS(2) && $SS(2) eq $SS(3) && $SS(3) eq $SS(4)}]
set straight [expr {$C(0)==$C(1)-1 && $C(1)==$C(2)-1 && $C(2)==$C(3)-1 && $C(3)==$C(4)-1}]
set all {0 1 2 3 4}
# 1: 4 of kind, straight and royal flush
set ::type [list 1 "4 of kind"]
if {$C(0) == $C(3) || $C(1) == $C(4)} {return $all} ;# Four of a kind
set ::type [list 1 "straight and royal flush"]
if {$straight && $flush} {return $all} ;# Straight flush
if {$straight && $flush && $C(0) == 10} {return $all} ;# Royal flush
# 2: 4 to a royal flush
set ::type [list 2 "4 to a royal flush"]
foreach hold {{0 1 2 3} {0 1 2 4} {0 1 3 4} {0 2 3 4} {1 2 3 4}} {
lassign $hold a b c d
if {$C($a) >= 10 && $C($a)==$C($b)-1 && $C($b)==$C($c)-1 && $C($c)==$C($d)-1} {
if {$SS($a) eq $SS($b) && $SS($b) eq $SS($c) && $SS($c) eq $SS($d)} {
return $hold
}
}
}
# 3: 3 of kind, straight, flush, full house
set ::type [list 3 "straight, flush, full house"]
if {$straight} { return $all }
if {$flush} { return $all }
if {$C(0) == $C(1) && $C(2) == $C(4)} {return $all} ;# Full house
if {$C(0) == $C(2) && $C(3) == $C(4)} {return $all} ;# Full house
set ::type [list 3 "3 of kind"]
if {$C(0) == $C(2)} { return {0 1 2} } ;# 3 of a kind
if {$C(1) == $C(3)} { return {1 2 3} } ;# 3 of a kind
if {$C(2) == $C(4)} { return {2 3 4} } ;# 3 of a kind
# 4: 4 to a straight flush
set ::type [list 4 "4 to a straight flush"]
foreach hold {{0 1 2 3} {0 1 2 4} {0 1 3 4} {0 2 3 4} {1 2 3 4}} {
lassign $hold a b c d
if {$C($a)==$C($b)-1 && $C($b)==$C($c)-1 && $C($c)==$C($d)-1} {
if {$SS($a) eq $SS($b) && $SS($b) eq $SS($c) && $SS($c) eq $SS($d)} {
return $hold
}
}
}
# 5: Two pair
set ::type [list 5 "two pair"]
if {$C(0) == $C(1) && $C(2) == $C(3)} {return {0 1 2 3}}
if {$C(0) == $C(1) && $C(3) == $C(4)} {return {0 1 3 4}}
if {$C(1) == $C(2) && $C(3) == $C(4)} {return {1 2 3 4}}
# 6: High pair
set ::type [list 6 "high pair"]
if {$C(0) == $C(1) && $C(0) >= 11} {return {0 1}}
if {$C(1) == $C(2) && $C(1) >= 11} {return {1 2}}
if {$C(2) == $C(3) && $C(2) >= 11} {return {2 3}}
if {$C(3) == $C(4) && $C(3) >= 11} {return {3 4}}
# 7: 3 to a royal flush
set ::type [list 7 "3 to a royal flush"]
foreach hold {{0 1 2} {0 1 3} {0 1 4} {0 2 3} {0 2 4} {0 3 4} {1 2 3} {1 2 4} {1 3 4} {2 3 4}} {
lassign $hold lo mid hi
if {$C($lo) >= 10 && $SS($lo) eq $SS($mid) && $SS($mid) eq $SS($hi)} { return $hold }
}
# 8: 4 to a flush
set ::type [list 8 "4 to a flush"]
foreach hold {{0 1 2 3} {0 1 2 4} {0 1 3 4} {0 2 3 4} {1 2 3 4}} {
lassign $hold a b c d
if {$SS($a) eq $SS($b) && $SS($b) eq $SS($c) && $SS($c) eq $SS($d)} { return $hold }
}
# 9: low pair
set ::type [list 9 "low pair"]
foreach hold {{0 1} {1 2} {2 3} {3 4}} {
lassign $hold lo hi
if {$C($lo) == $C($hi)} { return $hold }
}
# 10: 4 to an outside straight
set ::type [list 10 "outside straight draw"]
foreach hold {{0 1 2 3} {0 1 2 4} {0 1 3 4} {0 2 3 4} {1 2 3 4}} {
lassign $hold a b c d
if {$C($a)==$C($b)-1 && $C($b)==$C($c)-1 && $C($c)==$C($d)-1} { return $hold }
}
# 11: 2 suited high cards
set ::type [list 11 "2 suited high cards"]
foreach hold {{0 1} {0 2} {0 3} {0 4} {1 2} {1 3} {1 4} {2 3} {2 4} {3 4}} {
lassign $hold lo hi
if {$lo >= 11 && $SS($lo) eq $SS($hi)} { return $hold }
}
# 12: 3 to a straight flush
set ::type [list 12 "3 to a straight flush"]
foreach hold {{0 1 2} {0 1 3} {0 1 4} {0 2 3} {0 2 4} {0 3 4} {1 2 3} {1 2 4} {1 3 4} {2 3 4}} {
lassign $hold lo mid hi
if {$C($lo) == $C($mid)-1 && $C($mid) == $C($hi)-1 && $SS($lo) eq $SS($mid) && $SS($mid) eq $SS($hi)} { return $hold }
}
# 13: 2 unsuited high cards (if more, take lowest 2)
set ::type [list 13 "2 high cards"]
foreach hold {{0 1} {1 2} {2 3} {3 4}} {
lassign $hold lo hi
if {$C($lo) >= 11} { return $hold }
}
# 14: suited 10/j 10/q or 10/k
set ::type [list 14 "suited 10/j 10/q or 10/k"]
foreach hold {{0 1} {0 2} {0 3} {0 4} {1 2} {1 3} {1 4} {2 3} {2 4} {3 4}} {
lassign $hold lo hi
if {$C($lo) == 10 && $C($hi) in {11 12 13} && $SS($lo) eq $SS($hi)} { return $hold }
}
# 15: 1 high card
set ::type [list 15 "1 high card"]
if {$C(4) >= 11} { return 4 } ;# One high card
# 16: discard everything
set ::type [list 16 "garbage"]
return {}
}
proc MakeHand {card0 card1 card2 card3 card4} {
# For debugging
set ::S(deck) [concat $card0 $card1 $card2 $card3 $card4 {*}$::S(deck)]
}
################################################################
################################################################
# Card images from Patience card game, see
# http://uebb.cs.tu-berlin.de/~krischan/patience/patience-english.html
# https://www.tcl-lang.org/starkits/patience.kit
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image create photo ::img::ts -format gif -data {
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image create photo ::img::back13 ;# For fancy card turning
image create photo ::img::back23
::img::back13 copy ::img::back -subsample 3 1
::img::back23 copy ::img::back -subsample 2 1
################################################################
DoDisplay
ShuffleCards
foreach vinfo [trace info variable CARD] {
trace remove variable CARD {*}$vinfo
}
trace add variable CARD write tracer
set CARD(bet) 0 ;# Trigger the trace
return