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 [1 ] 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 [2 ]


vetter_VideoPoker_screenshot_423x483.jpg


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::2c -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 variable CARD w tracer
set CARD(bet) 0                                 ;# Trigger the trace

return